Which statement best describes the expression fraction 1 over 2 x (14 − 6) x 6 + 4?

Answer:

The margin of error is 0.0206 = 2.06 percentage points.

The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 1900, \pi = 0.7[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.7*0.3}{1900}} = 0.0206[/tex]

The margin of error is 0.0206 = 2.06 percentage points.

The lower limit of this interval is:

[tex]\pi - M = 0.7 - 0.0206 = 0.6794[/tex]

The upper limit of this interval is:

[tex]\pi + M = 0.7 + 0.0206 = 0.7206[/tex]

The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).

Answer:

The range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].

Step-by-step explanation:

We are given that the lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days.

Let X = lengths of pregnancies in a small rural village

SO, X ~ Normal([tex]\mu=262,\sigma^{2} = 17^{2}[/tex])

Here, [tex]\mu[/tex] = population mean = 262 days

         [tex]\sigma[/tex] = standard deviation = 17 days

Now, the 68-95-99.7 rule states that;

So, middle 68% of most pregnancies is represented through the range of within one standard deviation points, that is;

[ [tex]\mu -\sigma[/tex] , [tex]\mu + \sigma[/tex] ]  =  [262 - 17 , 262 + 17]

                          =  [245 days , 279 days]

Hence, the range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].

Answer:

20

Step-by-step explanation:

Since chord AB and DE are at equal length from the centre, they are equal in length.

AB = DE

3x-7 = 5(x-5)

3x-7 = 5x-25

-7+25 = 5x -3x

18 = 2x

Dividing both side by 2

x = 9

Now

AB = 3(9)-7

= 27 -7

= 20

Answer:

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?

Width =

Height =

Width =√10 and Height [tex]= \frac{10}{4}[/tex]

Step-by-step explanation:

Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)

are (h,k) and (-h,k).

Hence, the area of the rectangle will be (h + h) × k

Therefore, A = h²k ..... (2).

Now, from equation (1) we can write k = 5 - h² ....... (3)

So, from equation (2), we can write

[tex]A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}[/tex]

For, A to be greatest ,

[tex]\frac{dA}{dh} =0 = 10h-4h^{3}[/tex]

⇒ [tex]h[10-4h^{2} ]=0[/tex]

⇒ [tex]h^{2} =\frac{10}{4} {Since, h≠ 0}[/tex]

⇒ [tex]h = ±\frac{\sqrt{10} }{2}[/tex]

Therefore, from equation (3), k = 5 - h²

⇒ [tex]k=5-\frac{10}{4} =\frac{10}{4}[/tex]

Hence,

Width = 2h =√10 and

Height = [tex]k =\frac{10}{4}.[/tex]

Answer:

$0.45+19*$0.35= $7.1

Step-by-step explanation:

first minute= $0.45

subsequent minutes= $0.35

cost per 20 min= $0.45+19*$0.35= $7.1

cost per x min= 0.45+(x-1)*0.35= 0.35x +0.10

Answer:

Step-by✔ 0.45 + 0.35(19)  

✔ $7.10

Answer:

0.8

Step-by-step explanation:

(2 x 10^-4)

= 0.0002

(4x10^3)

= 4000

0.0002 x 4000 = 0.8

Answer:

The answer is C.

Step-by-step explanation:

If you type into the calculator for sin(40), you will get approximately 0.64 if you round it to 2 decimal places :

[tex] \sin(40) = 0.6427876097[/tex]

[tex] \sin(40) ≈ 0.64[/tex]

Answer:

Step-by-step explanation:

Hello!

The variable of study is

X: number of complaints per industry (Categorized: Bank, Cable, Car, Cell, Collection

Considering this is a categorical variable, and the hypothesis is that all categories have the same probability, you have to apply a Chi-Square  Goodness to Fit test.

Observed frequencies per category

1) Bank: 26

2) Cable: 44

3) Car: 42

4) Cell: 60

5) Collection: 28

Total= 200

Statistical hypotheses:

H₀: P₁=P₂=P₃=P₄=P₅=1/5

H₁: At least one of the proposed proportions is different.

α: 0.01

[tex]X^2= sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}[/tex]

For this test the formula for the expected frequencies is:

[tex]E_i= n * P_i[/tex]

So the expected values for each category is:

[tex]E_1= n * P_1= 200*1/5= 40[/tex]

[tex]E_2= n * P_2= 200*1/5= 40[/tex]

[tex]E_3= n * P_3= 200*1/5= 40[/tex]

[tex]E_4= n * P_4= 200*1/5= 40[/tex]

[tex]E_5= n * P_5= 200*1/5= 40[/tex]

[tex]X^2_{H_0}= \frac{(26-40)^2}{40} +\frac{(44-40)^2}{40} +\frac{(42-40)^2}{40} +\frac{(60-40)^2}{40} +\frac{(28-40)^2}{40} = 11.5[/tex]

This test is one tailed and so is its p-value, under a Chi-square with 4 degrees of freedom p-value:  0.021484.

The p-value is less than the significance level so the decision is to reject the null hypothesis.

c. The industry with most complaints is the cellular phone providers

I hope this helps!

Answer:andrew Jackson

Answer:

D

Step-by-step explanation:

thank the person above ☝☝☝

Edge 2021

Answer:

48 cm

Step-by-step explanation:

Given:

Distance of rod from the wall = 45 cm

Distance of rod from the light = 15 cm

Length of rod = 12 cm

We can see that <DAM and <BAF are equal

Also, <DMA and <BFM are equal because they are corresponding angles

To find the length of the shadow, let's take the equation

[tex] \frac{DM}{BF} = \frac{AM}{A.F} [/tex]

Where.:

DM = ½ of length of the rod = ½*12 = 6

A.F = 15 + 45 = 60 cm

AM = 15 cm

Therefore,

[tex] \frac{DM}{BF} = \frac{AM}{A.F} [/tex]

[tex]= \frac{6}{BF} = \frac{15}{60} [/tex]

Cross multiplying, we have:

15 * B.F = 60 * 6

15 * B.F = 360

[tex]BF = \frac{360}{15}[/tex]

BF = 24 cm

The shadow on the wall =

2 * BF

= 2 * 24

= 48 cm

The shadow on the wall is 48 cm

Answer: 22, 60

Step-by-step explanation:

x+ x + 38 = 82

2x + 38 = 82

2x = 82 - 38

x = 44 / 2 = 22

Answer: 22, 60

Step-by-step explanation:

We can use system of equations to solve this. Let's use 1 for one number and y for the second number.

Equation 1

x+y=82

Equation 2

x+38=y

Since we know what y is, we can substitute it into the first equation.

x+(x+38)=82

x+x+38=82

2x+38=82

2x=44

x=22

Now that we know x, we cna plug it into any equaiton to find y.

(22)+38=y

y=60

Answer:

If 1/5 are chocolate chip, then 4/5 are not chocolate chip because 1 - 1/5 = 4/5. Half of 4/5 are peanut butter. Half of 4/5 is 2/5, so 2/5 of the cookies are peanut butter.

hope it helps!!!!! :]

Answer: The first one

Step-by-step explanation:

If you take a look at the light pink squares, you can count three on the top and three on the bottom. Therefore, when looking at it from the top, you’ll see the first one.

I hope you found my answer helpful! If you did, give it a five-star rating and a thanks! I would really appreciate it!

Even a brainliest if you feel like it! ;)

Answer:

the first image will b da answer

Step-by-step explanation:

happy to help ya :)

Answer:

$2.7

Step-by-step explanation:

Let the price of one apple be x

and the price of one orange y

Hence ;

One apple and 3 oranges would cost:

x + 3×y = $5.10----------------------------(1)

One apple and 5 oranges would cost;

x + 5×y = $7.50--------------------------(2)

Subtracting eqn (1) from (2), we have :

x-x + 5y -3y = 7.5- 5.1

2y = 2.4

y = $1.2

From eqn(1)

x + 3y = $5.10

x= $5.10-3($1.2) = $5.10-$3.6 = $1.5

Hence x=$1.5 and y= $1.2

We are required to find the cost of one apple and one orange, hence :

x+y = $1.5+$1.2= $2.7

Answer:

x=1, 2, 3, 4, 5, 6

Step-by-step explanation:

Let's use logic. You can not have negative pizzas, and I assume you can not have decimals of pizzas.

That means that with the coupon you can only buy whole pizzas up to 6.

So the domain or x is1, 2, 3, 4, 5, 6

Answer:

A: -8

Step-by-step explanation:

4 * -2 is -8, and A is on that point.

Answer:

its a I literally just did it

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

graphed on desmos.com

Answer:

6x^2+47

Step-by-step explanation:

You simple have to "plug" g(x) into f(x) for x.

f(x)=6x+11

f(g(x))=6(x^2+6)+11

f(g(x))=6x^2+36+11

f(g(x))=6x^2+47

Answer:

Profit of $11.00

Step-by-step explanation:

44÷2=22

22×$3.50=$77

$77.00-$66.00=$11.00/profit

Answer:

(C) 1466

Step-by-step explanation:

The hour hand makes one revolution each 12 hours. So it makes 2 revolutions a day.

The minute hand makes one revolution each hour. So it makes 24 revoulutions a day.

The second hand makes one revolution each minute. So it makes 24*60 = 1440 revolutions a day.

In total:

2 + 24 + 1440 = 1466

The correct answer is C.

Answer:

90 different ways

Step-by-step explanation:

We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.

To solve this problem, we need to calculate a permutation of 10 choose 2.

The formula for a permutation of n choose p is:

[tex]P(n, p) = n! / (n - p)![/tex]

So we have:

[tex]P(10, 2) = 10! / (10 - 2)![/tex]

[tex]P(10, 2) = 10! / 8![/tex]

[tex]P(10, 2) = 10*9 = 90[/tex]

So there are 90 different ways of choosing a president and a vice-president.

Answer

D.

Explanation

mIH = 44

mIJ = 46

mJK = 77

ADDING THEM ALL TO FIND THE MEASURE OF m<HOK

<HOK = 44+46+77

<HOK = 167°

Answer:

432

Step-by-step explanation:

Volume is equal to the length*width*height that is 6*6*2*3*6(basically multiply them all in simple terms)=432

Answer:

2 + 3+ 6

Step-by-step explanation:

You are supposed to multiply the length, width, and height not add it.

Answer:

If you earn $15 every week then you will have earned $75 by the end of 5 weeks.

Step-by-step explanation:

If $15 is 1 week,

and you need to find how much money after 5 weeks,

you multiply by the same number on both sides

1 = 15

1*5 = 15*5

5 = 75

So after 5 weeks you get $75

Answer:

2.178

hope it helps!

Answer:

2.718

______________________________

Solution,

radius=10 cm

Circumference of circle=2 pi r

=2*3.142*10

=62.84 cm

hope it helps

Good luck on your assignment

Answer:

is the correct answer.

Step-by-step explanation:

We are given that co-ordinates of D is (-3,8) and F is (5,2).

For finding a point E on the line segment DF dividing it in a ratio 4:1, we can use segment formula.

[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

Where [tex](x,y)[/tex] is the co-ordinate of the point which  

divides the line segment joining the points and in the ratio m:n.

As per the given values  

[tex]x_{1} = -3\\x_{2} = 5\\y_{1} = 8\\y_{2} = 2[/tex]

Putting the given values in above formula :

x-co-ordinate of F:

[tex]x = \dfrac{5 \times 4 + (-3 \times 1)}{4+1}\\\Rightarrow \dfrac{17}{5}\\\Rightarrow x = 3.4[/tex]

y-co-ordinate of F:

[tex]y = \dfrac{4 \times 2 + 1 \times 8}{4+1}\\\Rightarrow \dfrac{16}{5}\\\Rightarrow y = 3.2[/tex]

So, answer is [tex]E(3.4,3.2)[/tex].

Answer: The answer has been attached below

Step-by-step explanation:

From the attached calculation, the amount payable in the first payment is cheaper than the amount payable for the second payment.

If both alternatives were presented to me by Indie incorporation after purchasing a sachet water machine from them, I'll choose the first method of payment.

Kindly check the attached file for the calculation which prompted the decision taken.

Answer:

3/4 lbs more

Step-by-step explanation:

1 1/2 - 3/4 = 3/4

You need 3/4 lbs more coffee to have 1 1/2 lbs

Answer:

49 cars and 14 bikes

Step-by-step explanation:

we know [tex]7^{2}[/tex] is 49. 7 × 7 = 49

to match that, 7 × 2 = 14

14 plus 49 is 63