The circle above has an area of 144 pi cm^2. What is the area of the blue sector? Use 3.14 for pi.

Answer:

2.94

Step-by-step explanation:

A = 6a²

6 × .7² = 2.94

.7 × .7 = .49

6 × .7 = 2.94

[tex] a = 6a {}^{2} [/tex]

a is the side

area -6 x 0.7

Answer:

Perimeter= 176

Step-by-step explanation:

If one length is 32, then the length parallel to it, is also 32. Meaning the side lengths altogether equal 64. The width, is 56, so then the width parallel to it is also 56. This means the width of each equals 112 altogether.

64+112=176.

P= 176 feet

Hey!!!!

Here's your answer

Solution:

Length(l)=32 feet

Breadth(b)=56 feet

Now,

Perimeter of rectangle=2(l+b)

=2(32+56)

=2*88

=176

So the right answer is 176 feet

Hope it helps ...

Good luck on your assignment

Answer:

Step-by-step explanation:

(35 units three times a day) comes out to (35 units / day)(3 times per day), or

105 units per day

Answer:

hope this helps you

Answer:

- Only Drawing D has KL being a symmetrical segment.

- Drawings A, B and C have no axis of symmetry.

- Tylko rysunek D ma KL będący segmentem symetrycznym.

- Rysunki A, B i C nie mają osi symetrii.

Step-by-step explanation:

English Translation

In which drawing was the symmetrical segment of KL drawn? Which of these letters has no axis of symmetry?

Solution

The attached image to the question is presented in the attached image to this Solution.

Symmetry is a concept where a figure/shape has half of its part being a mirror image of the other part.

About the line or axis of symmetry, the structure or figure can be rotated at right angles or whole number multiples of right angles and the resulting structure is still the same as the one we started with.

Of the 4 drawings, only drawing D satisfies this conditions/criteria. And Hence, it is the only drawing amongst the four with an axis of symmetry.

In Polish/Po polsku

Załączony obraz do pytania jest przedstawiony na załączonym obrazku do tego rozwiązania.

Symetria to koncepcja, w której figura / kształt ma połowę swojej części stanowiącą odbicie lustrzane drugiej części.

W odniesieniu do linii lub osi symetrii, strukturę lub figurę można obracać pod kątem prostym lub wielokrotności liczby całkowitej pod kątem prostym, a wynikowa struktura jest nadal taka sama jak ta, od której zaczęliśmy.

Z 4 rysunków tylko rysunek D spełnia te warunki / kryteria. I dlatego jest to jedyny rysunek wśród czterech z osią symetrii.

Hope this Helps!!!

Mam nadzieję że to pomoże!!!

Answer:

x=4 and y = 12

Step-by-step explanation:

A diagonal of a parallelogram cuts the other diagonal in exactly 2 equal parts. So, we can say that x+12 = 16. That would give us x=4. And, we can say that 3y-14 = 22. If we solve for y, we get y = 12.

Answer:

14 ft - 8 ft = 6 ft

Step-by-step explanation:

You basically just need to subtract it! :)

Answer:

v1 = 1

Step-by-step explanation:

Solve for v1:

3 v1 - 3 = 0

Add 3 to both sides:

3 v1 + (3 - 3) = 3

3 - 3 = 0:

3 v1 = 3

Divide both sides of 3 v1 = 3 by 3:

(3 v1)/3 = 3/3

3/3 = 1:

v1 = 3/3

3/3 = 1:

Answer: v1 = 1

Answer: 2.5 ft

Step-by-step explanation:

Ok, we know that the catcher is located in the y-axis.

As you know, the y-axis cuts the x-axis at x = 0, so the catcher is located at x = 0.

To see the heigth of the ball at x = 0 we can see the table, where we can see that when x = 0, f(x) = 2.5 ft

Then the correct option is the second one, 2.5 ft.

Answer:

The answer is  A. 2.5

The first option

Step-by-step explanation:

If we look at the question you'll see this phrase "X represents the horizontal distance the ball travels in feet" and "f(x) represents the height of the ball in feet."

The question is "The pitcher releases the ball at the highest point in the curve, and the catcher is located at the y-axis. According to the table, how high is the ball when it reaches the catcher?" the underlined words are your clue.

When the graph hit zero, its hit its mark "The catcher" it REACHES the catcher.

so, alas, the answer is 2.5 ft

Answer:

Step-by-step explanation:

This is a test of the mean difference between 2 independent groups or populations.

Let μ1 be the mean annual bonus of Company A's employees and μ2 be the mean annual bonus of Company B's employees.

The random variable is μ1 - μ2 = difference in the mean annual bonus of Company A's employees and the mean annual bonus of Company B's employees

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 ≤ μ2 H0 : μ1 - μ2 ≤ 100

The alternative hypothesis is

H1 : μ1 > μ2 H1 : μ1 - μ2 > 100

This is a right tailed test because of the inequality sign at the alternative hypothesis. We need to take samples of annual bonuses from both company's employees and find the averages. Then we would determine the test statistic as well as the p value. We would use the p value with the level of significance to make decisions

Answer:

1/6

Question: Scott made a casserole for dinner he gave equal portions of 1/2 the casserole to 3 friends what diagram could scott use to find the fraction of the whole casserole that each friend got?

Step-by-step explanation:

Find attached the diagram Scott used to find the portion each friend got.

The shaded part indicate the portion of the casserole.

When Scott prepared the dinner = 1 portion of casserole

He shared 1/2 the portion to 3 of his friends:

Divide the diagram of the full portion into 2 to get ½ of the casserole

1/2 of the casserole = ½ × 1 portion = ½ portion

Each of his 3 friends would have equal portions = ⅓ of the ½ portion

The diagram of the ½ portion would be divided into 3 equal part

In terms of calculation = ½ × ⅓

= 1/6

Each of his friends would have 1/6 portion of the casserole.

Hello! I provided the answer to your problem in a picture.

Ex. (3/6)

Answer:

[tex]2p=348 cm\: S=6726 cm^{2}[/tex]

Step-by-step explanation:

Ciao, come stai?

1) Per prima cosa, dobbiamo trovare la misura della base più grande. Scomponendo la figura possiamo visualizzare un triangolo e un quadrato. Ci sono somiglianze con gli angoli. Quindi è un triangolo rettangolo. Applichiamo il teorema di Pitagora:

[tex]a^2=b^2+c^2\\95^2=b^2+76^2\\57=b[/tex]

2) Perimetro:

[tex]2p=60+57+76+60+95\\2p=348 cm[/tex]

3) L' area

[tex]\frac{(B+b)h}{2} =\frac{(117+60)76}{2} =6726 \:cm^{2}[/tex]

Answer:

P = 4/13

Step-by-step explanation:

In a deck of 52 cards, there are 3 aces(spade, heart, diamond), 1 club ace, and 12 remaining club cards

=> The probability of randomly drawing 1 card that is an ace card or a club card:

P = number of elements/total number of elements

P = (3 + 1 + 12)/52

P = 16/52

P = 4/13

=> Option A is correct

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

a) Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1043

p = 14% = 14/100 = 0.14

q = 1 - 0.14 = 0.86

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Therefore, margin of error is 1.96√(0.14)(0.86)/1043

Margin of error = 0.021

b) i) The pollsters are 95% confident that the margin of error contains the true proportion of adults who approve of attempts to clone a human.

c) iv) A 99% confidence interval requires a larger margin of error. In order to increase confidence, the interval must be wider.

d) The z score for 99% confidence interval is 2.58

margin of error is 2.58√(0.14)(0.86)/1043

Margin of error = 0.028

e) smaller samples would produce smaller margins of error.

Answer:

These are all right answers, just pick the one that matches an answer choice

n^2 * (n-1)/3

(n^3-n^2)/3

((n-1)n^2)/3

Step-by-step explanation:

The general area for a square pyramid is base * height/3

Since we know the edge is n units, we can subsitute the base for:

n*n = n^2 = b

The height is n-1, so lets plug that into the formula too:

n^2 * (n-1)/3

Its a bit hard to tell what the answer choices are, since your formatting is a bit strange, So in the answer section, I will list a couple of different expressions that are all equal, so that I get the right answer choice included.

Answer:

Step-by-step explanation:

Hello!

Given the variable

X: reading speed of a second-grader. (words per minute)

From a random sample of second-grader the mean and standard deviation were:

X[bar]= 31.6 words per minute

S= 2.4 words per minute

To study the population mean (μ) you have the following sampling scenarios and need to choose the correct statistic.

Sampling scenarios:

(1) The sample has size 100, and it is from a non-normally distributed population with a known standard deviation of 2.6.

For this scenario you have to remember the Central Limit Theorem. The variable of study has a non-normal distribution but the sample is large enough (As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation) you can approximate the distribution of the sample mean to normal: X[bar]≈N(μ;σ²/n); Then it is valid to use an approximation to the standard normal distribution to make inference statements about the population mean.

Statistic: Z

(2) The sample has size 75, and it is from a non-normally distributed population.

Same explanation as the statement before, except that the population variance is unknown. Since the distribution is already an approximation you can use its estimation (sample variance) for the statistic. (It would be less accurate than using the population variance but still valid)

Statistic: Z

(3) The sample has size 12, and it is from a population with a distribution about which we know very little.

To use a student's t the population needs to have a normal distribution, which is not the case, same goes for the standard normal.

To apply the central Limit Theorem you need a sample size equal or greater to 30, this is not the case.

For this sampling example neither distribution is applicable.

(4) The sample has size 14, and it is from a normally distributed population with a known standard deviation of 2.6.

The population has a normal distribution and the population standard deviation is known. The sample size is rather small but it isn't an impediment to apply the standard normal distribution. Also, even tough the population standard deviation is known, a student t is also applicable. In this case both statistics are a viable option.

Statistic: Z or t

(5) The sample has size 16, and it is from a normally distributed population with unknown standard deviation.

The population has a normal distribution, with unknown population standard deviation and the sample size is rather small. You can use a Student t to infer over the population mean.

Statistic: t

I hope this helps!

Answer:

spinner green or blue

Step-by-step explanation:

Flipping a coin is 1/2 probability

Rolling a die and getting a number less than 4 is 1/2 probability

spinner green or blue is (4/6) = 2/3

Marbles is 1/2

Answer:

[tex] r = -0.39[/tex]

And the determination coeffcient is just the correlation coeffcient square and we got:

[tex] R = r^2 = (-0.39)^2 =0.1521[/tex]

And rounded to the nearest tenth thousand would be 0.1521

Step-by-step explanation:

The correlation coefficient is a measure of variability and is given by this formula:

[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]

For this case we have

[tex] r = -0.39[/tex]

And the determination coeffcient is just the correlation coeffcient square and we got:

[tex] R = r^2 = (-0.39)^2 =0.1521[/tex]

And rounded to the nearest tenth thousand would be 0.1521

Answer:

[tex]x^{4} -11x^{2} +28[/tex]

Step-by-step explanation:

[tex](x^{2} -7)(x^{2} -4)[/tex]

[tex]x^{4} -4x^{2} -7x^{2} +28[/tex]

[tex]x^{4} -11x^{2} +28[/tex]

Answer:

1/3

Step-by-step explanation:

The slope of a perpendicular line is always the negative reciprocal of the slope of the original line.

-1/-3 = 1/3

Answer:

576 students choose cheeseburgers

Step-by-step explanation:

Given: In a survey, it was determined that 40% of students preferred pizza, 32% of students preferred cheeseburgers, and 28% of students preferred tacos.

To find: Number of students out of 1800 who choose cheeseburgers

Solution:

Percentage of students who preferred cheeseburgers = 32%

Total number of students = 1800

Number of students out of 1800 who choose cheeseburgers = [tex]\frac{32}{100}(1800)=576[/tex]

Answer:

The area of the large circle is 16π

The area of one small circle is 4π

The total area of the two small circles will be one-half of the area of the large circle

Step by step explanation:

Area if circle = πr²

area of one large circle with a diameter of 8:

r = diameter/2 = 8/2 = 4

Area = π×4² = 16π

total area of 2 smaller diameter one-half that of the large circle.

Area = πr²

Diameter of small circle = 1/2(bigger circle diameter)

Diameter = 8/2 = 4

radius = 4/2 = 2

Area of one small circle = π×(2)² = 4π

Total Area of Two smaller circles= 2(4π) = 8π

Area of two smaller circle = 1/2(area of bigger circle) = 1/2(16π) 8π

Therefore, based on the answer:

The area of the large circle is 16π

The area of one small circle is 4π

The total area of the two small circles will be one-half of the area of the large circle

Answer:

The area of the large circle is 16 pi.

The area of one small circle is 4 pi.

The total area of the two small circles will be one-half of the area of the large circle.

Step-by-step explanation:

To shorten this down for ya lazy people like me the answers are 1, 2, and 5!!!

I got this right on my UNit test review!!!!!

I hope this helps!!!!!!

We know that imaginary roots always come in pairs, so we already know 4 solutions

-2, 2, 4 + i and a pair of 4 + i

Since imaginary roots always come in pairs we wont have more than 2 imaginary roots, since its a fifth degree root and we can only have 5 roots

So for sure, we will have 3 real roots and 2 imaginary roots

Last option, f(x) has three real roots and two imaginary roots

Answer: ITS D (f(x) has three real roots and two imaginary roots)

Hey!!!!

Hope it helps.....

Good luck on your assignment

__________________________________________

Answer:

The 95​% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).

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 = 185, \pi = \frac{100}{185} = 0.5405[/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 lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5405 - 1.96\sqrt{\frac{0.5405*0.4595}{185}} = 0.4687[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5405 + 1.96\sqrt{\frac{0.5405*0.4595}{185}} = 0.6123[/tex]

The 95​% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).

Answer:

The margin of error for a 95% confidence interval for the population mean is of 1.05 years.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population(square root of the variance) and n is the size of the sample.

What is the margin of error for a 95% confidence interval for the population mean

36 students, so [tex]n = 36[/tex]

Variance of 10.24, so [tex]\sigma = \sqrt{10.24} = 3.2[/tex]

[tex]M = 1.96*\frac{3.2}{\sqrt{36}} = 1.05[/tex]

The margin of error for a 95% confidence interval for the population mean is of 1.05 years.

Answer:

y = -x + 3

Step-by-step explanation:

I graphed the equation on the graph below to show you that it goes through (-1,4) and is perpendicular to y = x.

Answer:

Step-by-step explanation:

a) What is the population of interest?

The population of interest are college students

b) What is the population parameter of interest?

The population parameter is an average value on how currently enrolled students are placing into their current math class.

c) What is the sampling frame?

Identify currently enrolled students

d) Describe the sample.

The sample will be based on a representative sample that suit the administrators needs or specifically approach individuals with these certain characteristics.

e) What type of sampling method was used for this study?

Judgment or purposive sampling

f) Who was possibly left out of this study?

Answer:

Total cooking time = 20t + 15

The expression 15t + 20 is wrong.

Step-by-step explanation:

weight of chicken = t lbs

cook time per lb = 20 minutes

This means that:

1 lb weight requires a cooking time of 20 minutes

1 lb = 20 minutes

∴ t lbs = 20 × t = 20t minutes.

We were also told that each chicken required an extra cooking time of 15 minutes, in addition to the total cooking time due to the weight. Therefore, the total cooking time is calculated thus:

Total cooking time = cooking time due to weight + 15 minutes

Total cooking time = 20t + 15

Hence the expression 15t + 20 is wrong, due to the explanation given above.

Answer:

  9/8

Step-by-step explanation:

time A / time B = (3/2)/(4/3) = (3/2)(3/4) = (3·3)/(4·2)

time A / time B = 9/8