BC =
Round your answer to the nearest hundredth.
B
35°
6
А

BC =Round Your Answer To The Nearest Hundredth.B356

Answers

Answer 1

Using the cosine ratio, the length of BC to the nearest hundredth is: 4.91.

What is the Cosine Ratio?

Cosine ratio is: cos ∅ = adjacent side/hypotenuse

Given the right triangle in the diagram above, thus:

∅ = 35°Adjacent = ? = BCHypotenuse = 6

Thus:

cos 35 = BC/6

BC = cos 35 × 6

BC = 4.91

Thus, using the cosine ratio, the length of BC to the nearest hundredth is: 4.91.

Learn more about cosine ratio on:

https://brainly.com/question/15793827


Related Questions

An item is regularly priced at $80. Chau bought it on sale for 15% off the regular price. How much did Chau pay?

Answers

15% of $80 = 15*80/100 = $12
$80 - $12 = $68
Chau pay $68

only $68...steps.... (80*15% =12 /80-12=68

una persona cobra 7/4 de una cantidad, gasta 1/4 y presta 1/8 ¿Que fraccion de la cantidad cobrada le quedo?

Answers

Answer: (11/8)

Step-by-step explanation:

I will answer this in English.

a person collects 7/4 of an amount, spends 1/4 and lends 1/8. What fraction of the amount collected is left?

If the amount is A, then he collects:

C = (7/4)*A

Now, he spends 1/4 and lends 1/8 of the amount A, so the fraction left is:

Left = (7/4)*A - (1/4)*A - (1/8)*A

now i will write 7/4 as 14/8 and 1/4 as 2/8.

left = (14/8)*A - (2/8)*A - (1/8)*A  = ((14 - 2 - 1)/8)*A = (11/8)*A

lee and maya are collecting leaves for an art project. lee collects 24-100 of the total leaves needed. maya collects 4-10 of the total leaves needed. What fraction of the total number leaves did they collect altogether

Answers

Answer:

1/8 but idk im not good with math

Step-by-step explanation:

Answer:

16-25

Step-by-step explanation:

Step  1  :

           2

Simplify   —

           5

Equation at the end of step  1  :

  24    2

 ——— +  —

 100    5

Step  2  :

            6

Simplify   ——

           25

Equation at the end of step  2  :

  6    2

 —— +  —

 25    5

Sam and Joe are painters. Sam makes $2 an hour less than Joe. On a job that took them both 40 hours to complete they made $440. How much does Sam make an hour?

Answers

Answer:

$4.50

Step-by-step explanation:

If they earned $440 in 40 hours

This means they earned 440÷40=11 in one hour

Sam makes x-2 amount of money per hour so the difference between Sam's and Joe's salary is $2

Find two numbers that add up to Ten and can subtract to make a difference of 2 (I am starting with ten as it is easier) 6+4=10 6-4=2

So to make 6 and. 4 add to make a 11 we need to add a 0.5 to each of them so 6.5+4.5=11 and 6.5-4.5= $2.

Therefore Joe makes $6.50 an hour and Sam makes £4.50

A juggler perform in a telant contest. He is given 10 marks by each of the 4 judges. What’s his total score?

Answers

Answer:

40

Step-by-step explanation:

The answer is 40. There are 4 judges, and each gave him a 10. This can be shown by an equation.

1. 4 * 10 = total score

2. 40 = total score.

Hope this helps! (Please consider giving brainliest)

Answer:

40 marks

Step-by-step explanation:

Since each judge gives him 10 marks each, then we get:

10 marks × 4 judges = 40 marks

His total score is 40 marks.

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!

Answers

Answer:

1. Reason = Angles forming a linear pair sum to 180

2. Step = m<QTR+ m<RTS = 180

3. reason = transitive property of equality

4. step = m<PTQ = m<RTS. reason = subtraction property of equality

Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x + 15 and the x-axis on the interval [-6,6]. Round off your answer to the nearest integer.

A) 25,351 units^2
B) 149,473 units^2
C) 3,758 units^2
D) 2,362 units^2

Answers

Answer:

The area of the region is 25,351 [tex]units^2[/tex].

Step-by-step explanation:

The Fundamental Theorem of Calculus: if [tex]f[/tex] is a continuous function on [tex][a,b][/tex], then

                                   [tex]\int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) | {_a^b}[/tex]

where [tex]F[/tex] is an antiderivative of [tex]f[/tex].

A function [tex]F[/tex] is an antiderivative of the function [tex]f[/tex] if

                                                    [tex]F^{'}(x)=f(x)[/tex]

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function [tex]x^5 + 8x^4 + 2x^2 + 5x + 15[/tex] and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

[tex]\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx[/tex]

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx[/tex]

[tex]\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2[/tex]

A cup of coffee is cooling down such that its temperature is decreasing at a constant rate of 8% per minute. Let’s say the coffee starts at a temperature of 200 degrees Fahrenheit.

What’s its temperature after one minute by finding 8% of 200 and then subtracting?

Answers

Answer:

Temperature after 1 minute = 184 ° F

Step-by-step explanation:

starting temperature = 200 °F

rate of decrease = 8% per minute

Temperature lost = 8% of 200 = 8/100 × 200 = 0.08 × 200 = 16 °F

It therefore means that after 1 minute, the cup of coffee loses 16 °F,

∴ Temperature after 1 minute = (starting temperature) - (lost temperature)

= 200 - 16 = 184 °F

2 Points

Suppose you buy 6 buckets of apples and 4 buckets of peaches for $42. If

you bought 8 buckets of apples and 2 buckets of peaches, you would have

spent $36. How much is one bucket of apples (a), and one bucket of peaches

(p)?

A. a = $3, p = $6

B. a = $8, p = $2

C. a = $6, p = $4

D. a = $6, p = $3

SUBMIT

Answers

Answer:

A. a = $3, p = $6

Step-by-step explanation:

Let the cost of a bucket of apple=a

Let the cost of a bucket of peaches=p

6 buckets of apples and 4 buckets of peaches costs $42.

6a+4p=42

8 buckets of apples and 2 buckets of peaches costs $36.

8a+2p=36   (Multiply by 2 to make the coefficient of p 4)16a+4p=72

We solve the two resulting equations simultaneously

6a+4p=42

16a+4p=72

Subtract

-10a=-30

Divide both sides by -10

a=$3

Next, we substitute a=$3 in any of the equation to solve for p

6a+4p=42

6(3)+4p=42

4p=42-6(3)

4p=42-18

4p=24

Divide both sides by 4

p=$6

Therefore, a bucket of apple costs $3 and a bucket of peaches costs $6.

Can you divide 81 into 4 parts so that if you add 2 to the 1st part, subtract 2 from the 2nd part, multiply the 3rd part by 2, and divide the 4th part by 2, the answer in each case will be the same

Answers

Answer:

Yes I believe the answer will be the same.

Step-by-step explanation:

What is a plane in mathematical terms

Answers

Answer:

Step-by-step explanation:

A plane is a flat, two-dimensional surface that extends infinitely far.

A car is traveling 80 KM in an hour how many minutes will it take to go from Miami to key largo

Answers

84.5 minutes reeeeeee

The car will take 84 minutes to go from Miami to Key Largo.

Given that, speed=80 km/hour and distance = 70 miles.

What is the speed of a object?

Speed is the rate at which an object's position changes, measured in meters per second. The equation for speed is simple: distance divided by time.

Now, convert miles to kilometres. We know that 1 mile=1.6 kilometre.

That is 70 miles =70×1.6 =112 km

Then, Time=Distance/Speed

⇒Time =112/80=1.4 hours

So, 1.4 hours=60×1.4=84 minutes

Therefore, the car will take 84 minutes to go from Miami to Key Largo.

To learn more about the speed visit:

https://brainly.com/question/7359669.

#SPJ2

Your question is incomplete, probably the complete question/missing part is:

A car is travelling 80 KM in an hour how many minutes will it take to go from Miami to key largo? (70 miles)

what is the measure of p?
A.39
B.56
c.

C.29
D.97​

Answers

Answer:

The correct answer is c. 29

Step-by-step explanation:

Hope it works out , brainliest appreciated !!

Daniel is packing his bags for his vacation. He has

5

55 unique socks, but only

4

44 fit in his bag

Answers

Answer:

yes

Step-by-step explanation:

Dr. Dormeur studies sleep and sleep disorders. She is curious as to whether technology exposure before bedtime causes people to fall asleep more slowly. She recruits a sample of 60 middle-aged women from a local church who reported no history of sleep problems. She creates three conditions, and randomly assigns participants to one condition. All participants come to the sleep lab for two nights in a row, the first night with no treatment, the second night with treatment. In the first condition (A), participants were asked to play an online game (Candy Crush) on an iPad for 10 minutes prior to going to bed. In the second condition (B), participants were asked to read an article using an iPad that discussed tricks and tips for improving one’s score on Candy Crush (which took about 10 minutes). In the third condition (C), participants were asked to read a newspaper article about the inventor of Candy Crush (which took about 10 minutes). With the use of an electroencephalograph (EEG), the researcher measures how long it takes participants to fall asleep. Which of the following designs is Dr. Dormeur using?

a. one-way between-subjects ANOVA.b. chi-square test.c. simple linear regression.d. repeated-measures t-test.

Answers

Answer:

Dr Domeur is using repeated measures t-test

Step-by-step explanation:

Dr Dormeur is using the repeated measures t test also known as within-subjects design because the design is between participants. Repeated Measures assesses the change in a continuous outcome across time or within-subject.

Dr Domeur makes measurements using only one group of subjects, and the tests on each subject can be repeated more than once after different treatments. From the question, the researcher Dr Domeur uses the same subjects with every condition of the research and the control. Repeated measures are collected in a longitudinal study that assesses change over time.

As part of his dissertation, Joe wanted to know if math anxiety differs between males and females. He developed a new measure to assess math anxiety with a scale of 0 – 100, a higher number indicating more anxiety. He went to a large university and asked several sections of an introductory math class to participate.What is the dependent variable?

Answers

Answer:

Maths anxiety

Step-by-step explanation:

In a typical research study, there are basically 2 types of variables involved, which are the dependent and the independent variable.

The dependent variable is affected by other factors or the independent variable involved in the study. The dependent variable would change is the independent variable is manipulated, changed or varied.

The dependent variable in Joe's dissertation is MATHS ANXIETY, which is dependent on the gender of students. Gender is the independent variable as he wants to find out if there's any difference in maths anxiety between males and females.

The dependent variable is Math Anxiety which is dependent on gender of the students.

Jane has a pre-paid cell phone with NextFell. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 370 minutes and the cost was $133.00. In July she used 530 minutes and the cost was $181.00.

A) Express the monthly cost C
C
in terms of x
x
, the number of minutes of calling time she used.
Answer: c

B) If Jane used 477 minutes of calling time in August, how much was her bill?
Answer: $

Answers

Answer:

C = 0.30x +22$165.10

Step-by-step explanation:

A) Let x represent minutes used, and C represent monthly charge. We are given two (x, C) pairs: (370, 133.00) and (530, 181.00)

We can use these in the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  C = (181 -133)/(530 -370)(x -370) +133

  C = 48/160(x -370) +133

  C = 0.30x -111 +133

  C = 0.30x +22

__

B) For x = 477 minutes, the charge will be ...

  C = 0.30(477) +22 = $165.10 . . . . for 477 minutes

The monthly cost C =   $22 + $0.30x

Jane's bill for August is $165.10

The total amount Jane pays is the sum of the monthly fee and the charge per minute.

Total amount = monthly fee + charge per minute

Two equations can be derived from the question

a + 370b = 133 equation 1

a + 530b = 181 equation 2

Where:

a = monthly fee

b = charge per minute

This equation would be solved using simultaneous equation

Subtract equation 1 from equation 2

160b = 48

Divide both sides of the equation by 160

b = 48 / 160

b = 0.30

Substitute for b in equation 1

a + 370(0.30) = 133

a + 111 = 133

a = 133 - 111

a = 22

Based on the above calculations,  the monthly fee is $22 and the charge per minute is $0.30

Equation for monthly cost = $22 + $0.30x

If Jane used 477 minutes, total charge :

$22 + $0.30(477) =

22 + 143.10

= $165.10

A similar question was solved here: https://brainly.com/question/17911105?referrer=searchResults


Given: 1; -5; -13 ; -23 ; ...

Derive a formula for the nth term in the pattern.

Answers

Answer:

  f(n) = -n^2 -3n +5

Step-by-step explanation:

Suppose the formula is ...

  f(n) = an^2 +bn +c

Then we have ...

  f(1) = 1 = a(1^2) +b(1) +c

  f(2) = -5 = a(2^2) +b(2) +c

  f(3) = -13 = a(3^2) +b(3) +c

__

Here's a way to solve these equations.

Subtract the first equation from the second:

  -6 = 3a +b . . . . . 4th equation

Subtract the second equation from the third:

  -8 = 5a +b . . . . . 5th equation

Subtract the fourth equation from the fifth:

  -2 = 2a

  a = -1

Then substituting into the 4th equation to find b, we have ...

  -6 = 3(-1) +b

  -3 = b

and ...

  1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation

  5 = c

The formula is ...

  f(n) = -n^2 -3n +5

What’s the correct answer for this?

Answers

Answer:

2.5 ft

Step-by-step explanation:

As radius is perpendicular to tangent ,

LT [tex]\perp[/tex]KT

By pythagoras theorem:

LT² = LK² - KT²

LT² = (6.5)² - 6²

LT² = 42.25 - 36

LT² = 6.25

LT = 2.5 ft

LT = radius = 2.5 ft

3. Candace drew quadrilateral ABCD with vertices A(3, 3), B(5, 3), C(7, 1), and D(1, 1). Miguel wants to dilate Candace's quadrilateral by a scale factor of 5/5. Which statement is true? *

A-Quadrilateral ABCD is smaller than quadrilateral A'B'C'D'.

B-The algebraic expression of the dilation is (x, y) -> (5x, 5y).

C-The coordinates of quadrilateral A'B'C'D' will be A'(15, 15), B'(9, 15), C'(5, 35), D'(5, 5).

D-Quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.

Answers

Answer:

D-Quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.

Step-by-step explanation:

The scale factor is equal to 1. Hence, the quadrilateral A'B'C'D' will be identical to quadrilateral ABCD, whose vertices are the same.

The algebraic expression of the dilation is:

[tex](x',y') = (x,y)[/tex]

Besides, the coordinates of the new quadrilateral are A'(3, 3), B'(5, 3), C'(7, 1), and D'(1, 1)

And quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.

Therefore, the right answer is D.

Answer: D-Quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.

Step-by-step explanation: just did a test with this question and got it right. Hope this helped! thx for the points :D

g(x) = x-6
Domain of g:

Answers

Answer:

All real numbers

Step-by-step explanation:

The domain is just what values of x you can plug in as an input. In this case, you can plug in any number, as the graph is just a line that has no restrictions. An example of a case where the domain isnt just any number would be g(x) = 5/x, because in that case, x couldn't be 0 because you cant divide by zero.

Answer: all real numbers

Step-by-step explanation:

I need to know if the graph makes sense based on how Naoya shoots, everything is in the photo.

Answers

Answer:

Not correct

Step-by-step explanation:

Sample 8 has one free throw, sample 9 has 3 free throw success,

sample 10 has 3 free throw success

sample 11 has 5 free throw success

sample 12 has 5 free throw success

sample 13 has 2 free throw success

sample 14 has 1 free throw success;

See one sample should contain 15 free throw and the probability of success should be 0.7

Let's look at sample 8

Total no of success is 1

Total no of free throws 15

Probability is 1/15 = 1/15 * 100 =6.67%

Similarly you can do so for the others.

Consider the differential equation y '' − 2y ' + 5y = 0; ex cos(2x), ex sin(2x), (−[infinity], [infinity]). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. The functions satisfy the differential equation and are linearly independent since W(ex cos(2x), ex sin(2x)

Answers

Answer:

Step-by-step explanation:

Characteristic equation:

[tex]\lambda^2-2\lambda + 5 =0[/tex]

[tex]\lambda = 1\pm2i[/tex]

The solution of the ODE is

[tex]y = e^x(C_1 cos(2x) + C_2 sin(2x) )[/tex]

Now, very find by taking the first and the second derivative of y.

[tex]y' = e^x(-2 C_1 sin (2x) +2C_2 cos (2x)) +e^x (C_1 cos (2x) + C_2sin(2x))[/tex]

[tex]=-2e^xC_1 sin(2x) +2e^xC_2 cos (2x)+C_1e^xcos(2x) + C_2e^x sin(2x)[/tex]

[tex]y" = -2e^x C_1 sin(2x) -4e^x C_1cos(2x)+2e^xC_2cos(2x)-4e^xC_2sin(2x) +C_1e^x cos(2x) -2C_1e^xsin(2x)+C_2e^x sin(2x) +2C_2e^x cos(2x)[/tex]

[tex]=-4C_1e^xsin(2x) -3C_1e^x cos(2x) +4C_2e^xcos(2x) -3C_2e^xsin(2x)[/tex]

Now, put all in y" -2y'+5y and consider if it = 0 or not.

An urn contains 5 are red balls and 6 blue balls. Suppose 5 are randomly selected without replacement. What is the probability that exactly 3 are red? Answer correct to four decimal places.

Answers

Answer:

27.94%

Step-by-step explanation:

The statement tells us that we have 5 red balls and 6 blue balls, that is, there are 11 in total (5 + 6)

So the probability of red balls = 5/11 and blue balls probability = 6/11

Let X be the number of red balls of those 5 selected balls.

 Then X follows a binomial distribution with the following parameters:

n = 5

p = 5/11

q = 6/11

P (X) = nCx * p ^ (x) * q ^ (n -x)

required probability is P (X = 3), replacing:

P (X = 3) = 5C3 * (5/11) ^ (3) * (6/11) ^ (5 -3)

P (X = 3) = 5! / (3! (5-3)!) * 0.02794

P (X = 3) = 10 * 0.02794

P (X = 3) = 0.2794

Which means that the probability is 27.94%

A loan company charges $30 interest
for a one month loan of $500. Find the annual interest they are charging ​

Answers

Answer:

0.72%

Step-by-step explanation:

Finding what percentage is $30 of $500:

30/500 x 100 = 6

So, it is 5% per month.

Converting it to annual:

6% x 12 = 0.72%

The annual interest they are charging is ​$360.

What is interest?

Interest is the price you pay to borrow money or the cost you charge to lend money.

Now it is given that,

Amount of interest charged = $30

Amount of loan = $500

Duration = 1 month

Now since 1 year = 12 month

Thus, Amount of interest charged in 1 year = 12 * $30

⇒ Amount of interest charged in 1 year = $360

this is the amount they are charging annually.

Thus, the annual interest they are charging is ​$360.

To learn more about interest :

https://brainly.com/question/14724009

#SPJ2

can someone please help me!

Answers

Answer:

D

Step-by-step explanation:

Let's derive the equations for the two graphs;

For the graph towards the right,

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(2,1) and (3,2)

The slope = 2-1/ 3-2 = 1/1 = 1

From the general equation of a line

y = mx + c = 1× x + (-1) = x-1

y = x-1

Similarly for that towards the left we have;

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(2,1) and (3,2)

The slope = 2-1/ 3-2 = 1/1 = 1

From the general equation of a line

y = mx + c = 1× x + (-1) = x-1

y = x-1

Similarly for that towards the left we have;

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(-7,0) and (-4,-3)

Slope = -3-0/ -4-(-7) = -3/ 3 = -1

From the general equation of a line

y = mx + c = -1× x + c = -x + c

Since c is not obvious we can find the equation by picking just a point along the graph along side an arbitrary (x,y) point hence we have for slope;

If we pick (-7,0)

y-0 / x-(-7) = -1

y / x+7 = -1

y = -x -7

The equations of the graphed lines are;

y=x-1

y=-x-7

Look at option D you we see it's the same as the equation of the graph towards the right y=x-1

For the records

y=[x+3]-4 = x+3-4 = x-1

Mr. Corbin measures the lengths of three branches. The first branch
is 2/3 foot long. The second branch is 2/2 foot long. The third branch is 2/8
foot long. Which list orders the fractions from greatest to least? *

Answers

Answer:

2nd branch > 1st branch > 3rd branch

or

[tex]\dfrac{2}{2} > \dfrac{2}{3} > \dfrac{2}{8}[/tex]

Step-by-step explanation:

Length of First branch = [tex]\frac{2}{3}[/tex] foot

Length of second branch = [tex]\frac{2}{2}[/tex] foot

Length of third branch = [tex]\frac{2}{8}[/tex] foot

Let us convert the fractions in decimal forms:

[tex]1.\ \dfrac{2}{3} = 0.67[/tex]

[tex]2. \dfrac{2}{2} = 1[/tex]

[tex]3.\ \dfrac{2}{8} = \dfrac{1}{4}=0.25[/tex]

It can be clearly seen that 1 is the largest value among the three values.

So, 2nd branch is the largest.

Now, let us have a look at the values of first and third branches:

0.67 and 0.25.

Clearly, 0.67 is greater than 0.25.

So, the correct order is:

2nd branch > 1st branch > 3rd branch

OR

We can use other method to see it.

Here, all the 3 fractions have same numerator.

So, denominator can help us decide the which fraction has a large value.

If numerator is same, the larger denominator will have smaller fractions.

The denominators are 2, 3 and 8.

8 > 3 > 2

So, the answer is

2nd branch > 1st branch > 3rd branch

or

[tex]\dfrac{2}{2} > \dfrac{2}{3} > \dfrac{2}{8}[/tex]

Hypertension is when an adult is classified as having high blood pressure (above 130 systolic blood pressure is considered hypertension). Researchers want to know the proportion of adult North Americans (above age of 18) that have hypertension. Based on a study of 3532 adult North Americans, 1219 of them were classified as having hypertension.
a. Researchers want to test if more than a quarter of all North American adults have hypertension (that is to say more than 25% proportion of North American adults). State the null and alternative hypothesis in proper notation.
b. Create a 95% confidence interval for the true proportion of adult North Americans that have hypertension. Interpret this interval in context of the study.c. Say your 95% confidence interval is (0.329 , 0.361). Can you say with a high degree of confidence that more than a quarter of all North Americans have hypertension. Explain in a sentence or two.
d. If we were to decrease our level of confidence, what would we expect to happen to the confidence interval? Get wider/ get narrower/ stay the same ?

Answers

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test.

For the null hypothesis,

H0 : p ≥ 0.25

For the alternative hypothesis,

H1 : p < 0.25

b) from the given information,the sample proportion or point estimate for the population proportion is

1219/3532 = 0.35

Confidence interval = sample proportion ± margin of error

Margin of error = z × √pq/n

p = 0.35

q = 1 - 0.35 = 0.65

z score for 95% confidence level is 1.96

Margin of error = 1.96 × √(0.35 × 0.65)/3532 = 0.016

Confidence interval = 0.35 ± 0.016

c) Given that the 95% confidence interval is (0.329 , 0.361), it means that the lower limit of the confidence interval is 0.329 and the upper limit is 0.361

If more than a quarter of all North Americans have hypertension. It means that the true proportion can be within this interval. 95% confidence interval is a high degree of confidence. Therefore, we can say that with a high degree of confidence that more than a quarter of all North Americans have hypertension.

d) it would get narrower

[tex]\left[\begin{array}{ccc}1&0&-2\\&&\\&&\end{array}\right] +\left[\begin{array}{ccc}1&2&3\\&&\\&&\end{array}\right][/tex]

Answers

The answer is [ 2 2 1]

look at the attached picture

Hope it helps

Good luck on your assignment

A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below the top 13% and above the bottom 55% C: Scores below the top 45% and above the bottom 23% D: Scores below the top 77% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 76 and a standard deviation of 7.9. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.

Answers

Answer:

The minimum score required for an A grade is 85.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 76, \sigma = 7.9[/tex]

Find the minimum score required for an A grade.

The top 13% of the scores are A, so the minimum is the 100-13 = 87th percentile, which is X when Z has a pvalue of 0.87. So X when Z = 1.127.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.127 = \frac{X - 76}{7.9}[/tex]

[tex]X - 76 = 7.9*1.127[/tex]

[tex]X = 84.9[/tex]

Rounding to the nearest whole number:

The minimum score required for an A grade is 85.

Other Questions
Take one action that increases your pride. It could be related to your family, assets, culture,language, or invisible diversity. In a paragraph of 3-5 complete sentences, write about your actionand submit this as your work for the lesson. Solve the rational equation x over 5 equals x squared over quantity x plus 2 and check for extraneous solutions.x = 0; x equals negative one half is an extraneous solution x equals one half; x = 0 is an extraneous solution x = 0 and x equals one half x = 0 and x equals negative one half What is the political causes of migration?If u can answer this in point form it would be so great of yall a / clases / menores / mismas / sus / asistir / hermanos / lasYou Answered Sus hermanos menos asigno a las mis mas. Sus hermanos menosIncorrect or extra wordasignoIncorrect or extra worda las misIncorrect or extra wordmasIncorrect or extra word. What activity does Mariana do in her morning routine that her brother does not do? If an angle is bisected to form two new 10 degree angles, what was the measure of the original angle? Record transactions related to accounts receivable (LO5-3, 5-4, 5-5).The following information applies to the questions.The following events occur for The Underwood Corporation during 2021 and 2022, its first two years of operations. June 12, 2021 Provide services to customers on account for $41,000. September 17, 2021 Receive $25,000 from customers on account. December 31, 2021 Estimate that 45% of accounts receivable at the end of the year will not be received. March 4, 2022 Provide services to customers on account for $56,000. May 20, 2022 Receive $10,000 from customers for services provided in 2021. July 2, 2022 Write off the remaining amounts owed from services provided in 2021. October 19, 2022 Receive $45,000 from customers for services provided in 2022. December 31, 2022 Estimate that 45% of accounts receivable at the end of the year will not be received.Calculate the net realizable value of accounts receivable at th endof 2018 and 2019. 2018 2019Total accounts receivable Less: Allowance for uncollectible accounts Net realizable value Which statements about experimental probability are true?Experimental probability is written as a ratio.Experimental probability includes the number of possible outcomes.Experimental probability is found by conducting trials of an experiment.Experimental probability includes the number of times an event occurs in the numerator, and the total number of trials in the denominator.Experimental probability includes the number of times an event occurs in the denominator, and the total number of trials in the numerator. True/FalseIndicate whether the sentence or statement is true or false.When plants are used to create medicines, this is called herbalism.Please select the best answer from the choices providedTF 3. Calculate the work done to move an object of 50g in a circular path of radius 10cm. Dispositivo que muestra tanto la direccin como la magnitud de la corriente elctrica. How far did Freddy travel to get to the U.S? Solve for r.7r = 8r 20r = Mrs. Singh wrote 4 equations on the board.Which of Mrs. Singh's equations is NOT true?OA. 3:3 = 1OB. 7-0 = 0O C. 8:1 = 8OD. 04 = 0 What is an equation of the line that passes through the point (4, 5) and is parallel to the line whose equation is y= 2/3x-4? An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume of the bedroom. Solve on paper. Then check your work on Zearn. The bedroom will be ft3. Find the volume of each prism... some please help, I dont know how to do them. Which of the following devices would you expect to consume the most energy for each hour that it operates? Can someone please help me its geometry Which ordered pair is a solution of the equation?6x + 3y = 15