A cylinder has volume 63 cm3. What is the volume of a cone with the same radius and height?

Answer:

Part A

There is sufficient statistical evidence to suggest that the difference between the proportion of White students exposed to poverty is likely due to something beside chance

Part B

There is sufficient statistical evidence to suggest that the difference between the proportion of Black students exposed to poverty is likely due to something beside chance

Step-by-step explanation:

Part A

The given data are;

The percent of White students exposed to school poverty in 2,000, [tex]\hat p_1[/tex] = 30%

The number of White students in the district in 2,000, n₁ = 5184

The percent of White students exposed to school poverty in 2,015, [tex]\hat p_2[/tex] = 47.8%

The number of White students in the district in 2,015, n₂ = 7,306

The significant level, α = 0.05

The confidence level = 1 - α/2 = 1 - 0.05/2 = 0.975

The critical z at 0.975 confidence level, [tex]Z_c[/tex] = 1.96

The null hypothesis, H₀; [tex]\hat p_1[/tex] = [tex]\hat p_2[/tex]

The null hypothesis, H₀; [tex]\hat p_1[/tex] ≠ [tex]\hat p_2[/tex]

The Z test is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

Therefore, we have;

[tex]Z=\dfrac{0.3 - 0.478}{\sqrt{0.3 \cdot (1-0.3)\left (\dfrac{1}{5184}+\dfrac{1}{7306} \right )}} = -21.3894[/tex]

Given that the actual Z is much larger than the critical Z, we reject the null hypothesis that the difference between the proportion of White students is likely due to something other than chance

Part B, we have;

The percent of black students exposed to school poverty in 2,000, [tex]\hat p_1[/tex] = 34.5%

The number of black students in the district in 2,000, n₁ = 1035

The percent of black students in the district in 2,015, [tex]\hat p_2[/tex] = 76.1%

The number of black students in the district in 2,000, n₁ = 2037

[tex]Z=\dfrac{0.345 - 0.761}{\sqrt{0.345 \cdot (1-0.35)\left (\dfrac{1}{1,035}+\dfrac{1}{2,037} \right )}} =-22,925[/tex]

Similarly, due to the large value of Z compared to [tex]Z_c[/tex], there must be other variables responsible for the difference in proportion

Answer:

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 650 pounds and a standard deviation of 20 pounds.

This means that [tex]\mu = 650, \sigma = 20[/tex]

What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?

Less than 620:

pvalue of Z when X = 620. So

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

[tex]Z = \frac{620 - 650}{20}[/tex]

[tex]Z = -1.5[/tex]

[tex]Z = -1.5[/tex] has a pvalue of 0.0668

More than 700:

1 subtracted by the pvalue of Z when X = 700. So

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

[tex]Z = \frac{700 - 650}{20}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938

1 - 0.9938 = 0.0062

Total:

0.0668 + 0.0062 = 0.073

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Step-by-step explanation:

=4(x-1)-3(2x-5)

=4x-4-6x+16

=4x-6x-4+16

= -2x+12

hope it helps.

Answer:

2x + 11

1.) Distribute

4(x-1)-3(2x-5)

4x -4 -3 (2x-5)

2.) Connect like terms

4x -4 -6x + 15

-2x -4 +15

3.) Calculate

-2x + 11

Answer:

has to be under / or -13 so ...

x = -6

3(-6) + 5 =

-21 + 5 = -13

Answer:

The correct answer is 3x

Step-by-step explanation:

Add 2x and x

~Hoped this helped~

~Brainiliest, please?~

Answer:

I think the answer is A as well

Step-by-step explanation:

Answer:

a a a a a a a a  a a a a  a

Step-by-step explanation:

Answer:

£14.85

Step-by-step explanation:

The total number of tiles needed

= 5 × 3

= 15

∴ The total cost of the tiles

= £0.99 × 15

= £14.85

Answer:

wheres the graph if u show me the graph ill be glad to help u

Step-by-step explanation:

Answer:

A circle graph

Step-by-step explanation:

This only applies if the question means a pie chart when it says "circle graph".

Answer:

wouldn't this be 18.052

Step-by-step explanation:

add 15 and 2 then add 1 (from 0.7 plus 0.3) then add the other decimals

Answer: 18.052

Step-by-step explanation:

We just need to add them all.

15.352+0.7=16.052 16.052+2=18.052

Answer:

The supplementary angle is 137.11.

Step-by-step explanation:

180-42.89 = 137.11

Hope this helps!

Answer:

50

Step-by-step explanation:

Using proportions, it is found that the number of toys that is likely to be defective in a sample of 500 is given by:

C: 50

A proportion is a fraction of a total amount.

For the samples of 10, the mean number of errors is of:

( 0 + 2 + 1 + 1 + 2 + 0)/6 = 1

Hence, for samples of 500, the expected number of defective toys will be given by:

E = (500/10) x 1 = 50

Hence, option C is correct.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

4

Step-by-step explanation:

Mean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set. The mean value of the given data set is 4.

The given numbers of the data set are,

4,5,5,2,3,3,2,8

Total numbers are 8.

Mean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set.

Mean is the ratio of the sum of all the terms of the set to the the number of terms in the set.

The mean can be calculated with the following formula,

[tex]\overline x=\dfrac{\sum x}{N} [/tex]

Here N is the total number of the values in the set.

Put the values in the above formula,

[tex]\overline x=\dfrac{4+5+5+2+3+3+2+8}{8} \\ \overline x=\dfrac{32}{8}\\ \overline x=4[/tex]

Hence the mean value of the given data set is 4.

Learn more about the mean here;

https://brainly.com/question/12513463

Answer:

9.1

Step-by-step explanation:

Tangent 33=x/14

x=14*Tan 33

x=9.1(nearest tenth)

Answer:

8

Step-by-step explanation:

-2 x -2 = 4

4 - (-28 / 7 = -4)

4-  -4 = 8

Answer:

The domains are the X's, so 5, 3, 4, and 2

Step-by-step explanation:

Answer:

Wrong

Step-by-step explanation:

200%18=11.11111111

Answer: Jackie is incorrect

Step-by-step explanation:

Because 200/18 = 11.1111111111

Answer:

x = 2, y = -3

Step-by-step explanation:

Substitute x = 20 + 6y into 3x - 3y = 15:

[tex]3 (20+6y) - 3y = 15\\60 + 18y - 3y = 15\\60 + 15y = 15\\15y = -45\\y = -3[/tex]

Substitute this back into the equation x = 20 + 6y

[tex]x = 20 + 6 * (-3)\\x = 20 - 18\\x = 2[/tex]

Answer:

65

Step-by-step explanation:

13x5 = 65

Answer:

The answer is 65 lol

Step-by-step explanation:

Hopefully this helps

2 4/5 that’s the answer.

Enjoy

Answer:

A area

Step-by-step explanation:

Answer:

The probability that a given lot will violate this guarantee is [tex]1 - e^{-200x}[/tex], in which x is the probability of a resistor being defective.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

The probability of a resistor’s being defective is x:

This means that [tex]\mu = nx[/tex], in which n is the number of resistors.

The resistors are sold in lots of 200

This means that [tex]n = 200[/tex], so [tex]\mu = 200x[/tex]

What is the probability that a given lot will violate this guarantee?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = 0) = \frac{e^{-200x}*(200x)^{0}}{(0)!} = e^{-200x}[/tex]

So

[tex]P(X \geq 1) = 1 - e^{-200x}[/tex]

The probability that a given lot will violate this guarantee is [tex]1 - e^{-200x}[/tex], in which x is the probability of a resistor being defective.

Answer:

A: 8

Step-by-step explanation:

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. ... The mode can be the same value as the mean and/or median, but this is usually not the case

Answer:

[tex]2\sqrt{2} :1[/tex]

Step-by-step explanation:

This question was linked from another one regarding the lengths of the cubes, you can find it here: https://brainly.com/question/22396279

That question gave you the ratio of the lengths, which is [tex]\sqrt{2} :1[/tex]. Now in geometry, a general rule about solids is that if they are similar, the ratio of their volumes is the cube of the ratio of their edges. In a cube's case, every single cube known to mankind is similar as all the edges are the same length.

So the ratio of volumes would be [tex]\sqrt{2} ^3:1^3[/tex], which can be simplified as [tex]2\sqrt{2} :1[/tex].

The solution is, 0.39 = 39% of probability.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

When you need to calculate probabilities involving "or" questions, in general you should use the following formula: , where P(A) is the probability of event A and P(B) is the probability of event B.

In the problem given, P(A) = yes and P(B) = male, then:

P(yes) = 33/100

          = 0.33

P(male) = 20/100

            = 0.20 (all male that answered the question)

P(yes and male)

= 14/100

= 0.14 (all male that answered yes to the question)

P(yes or male) = P(yes) + P(male) - P(yes and male)

                        = 0.33+0.20-0.14

                        = 0.39

                        =39%

Hence, The solution is, 0.39 = 39% of probability.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

Complete question:

One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?

Answer: B

Step-by-step explanation:

2(—2) + 10 = 6.

2(0) + 6 = 6.

2(2) + 2 = 6.

2(4) + (—2) = 6

Answer: Yes, it is.

Step-by-step explanation:

Sorry, I just know the answer because I just did this in school. Like- right now

sin(x - 20)° = cos(5x - 10)°

Expand 5x - 10 in terms of x - 20:

5x - 10 = 5x - 100 + 90

… = 5 (x - 20) + 90

and recall that for all θ, cos(θ + 90)° = - sin(θ)°, so

sin(x - 20)° = cos(5 (x - 20) + 90)°

sin(x - 20)° = - sin(5 (x - 20))°

Replace (x - 20)° = y ° to make this a bit easier to read:

sin(y °) = - sin(5y )°

Expand the right side in terms of powers of sin:

sin(5θ) = 5 sin(θ) - 20 sin³(θ) + 16 sin⁵(θ)

so the equation becomes

sin(y °) = -5 sin(y °) + 20 sin³(y °) - 16 sin⁵(y °)

16 sin⁵(y °) - 20 sin³(y °) + 6 sin(y °) = 0

Replace z = sin(y °) to get a polynomial equation:

16z ⁵ - 20z ³ + 6z = 0

Factorize the left side:

2z (8z ⁴ - 10z ² + 3) = 0

2z (2z ² - 1) (4z ² - 3) = 0

Solve for z :

• 2z = 0   →   z = 0

• 2z ² - 1 = 0   →   z ² = 1/2   →   z = ± 1/√2

• 4z ² - 3 = 0   →   z ² = 3/4   →   z = ± √3/2

Solve for y in each case above:

• z = sin(y °) = 0   →   y = 0 + 360n   or   y = 180 + 360n

(where n is any integer)

These solutions can be combined into one family, y = 180n.

• z = sin(y °) = -1/√2   →   y = 225 + 360n   or   y = 315 + 360n

• z = sin(y °) = 1/√2   →   y = 45 + 360n   or   y = 135 + 360n

These solutions can also be combined, y = 45 + 90n.

• z = sin(y °) = -√3/2   →   y = 240 + 360n   or   y = 300 + 360n

• z = sin(y °) = √3/2   →   y = 60 + 360n   or   y = 120 + 360n

These can be combined as y = 60 + 180n or y = 120 + 180n.

Solve for x in each case:

• y = x - 20 = 180n   →   x = 20 + 180n

• y = x - 20 = 45 + 90n   →   x = 65 + 90n

• y = x - 20 = 60 + 180n   →   x = 80 + 180n

• y = x - 20 = 120 + 180n   →   x = 140 + 180n