All the kitten way together 4 pound and 2 ounces how many ounces does it

John painted 1 side of a door with an area of 2,880 square inches in 112 hours.

anyanavicka [17]

2880 / 112 = 25.71 square inches per hr

8 0

2 years ago

Read 2 more answers

Classify each of the power functions based on their end behavior (increasing or decreasing) as x = ∞

Svetlanka [38]

Answer: right side behavior:

f(x) is Decreasing

g(x) is Increasing

h(x) is Increasing

j(x) is Decreasing

Step-by-step explanation:

The rules for end behavior are based on 2 criteria: Sign of leading coefficient and Degree of polynomial

Sign of leading coefficient (term with greatest exponent):

If sign is positive, then right side is increasing
If sign is negative, then right side is decreasing

Degree of polynomial (greatest exponent of polynomial:

If even, then end behavior is the same from the left and right
If odd, then end behavior is opposite from the left and right

f(x) = -2x²

Sign is negative so right side is decreasing
Degree is even so left side is the same as the right side (decreasing)

as x → +∞, f(x) → +∞ Decreasing

as x → -∞, f(x) → -∞ Decreasing

g(x) = (x + 2)³

Sign is positive so right side is increasing
Degree is odd so left side is opposite of the right side (decreasing)

as x → +∞, f(x) → +∞ Increasing

as x → -∞, f(x) → -∞ Decreasing

$h(x)=-1+x^{\frac{1}{2}}\implies h(x)=x^{\frac{1}{2}}-1$

Sign is positive so right side is increasing
Degree is an even fraction so left side is opposite of the right side as it approaches the y-intercept (-1)

as x → +∞, f(x) → +∞ Increasing

as x → -∞, f(x) → -1 Decreasing to -1

$j(x)=\dfrac{1}{2}(-x)^5\implies j(x)=\dfrac{1}{2}(-1)^5(x)^5\implies j(x)=-\dfrac{1}{2}x^5$

Sign is negative so right side is decreasing
Degree is odd so left side is opposite of the right side (increasing)

as x → +∞, f(x) → +∞ Decreasing

as x → -∞, f(x) → -∞ Increasing

6 0

3 years ago

"The municipal transportation authority determined that 58% of all drivers were speeding along a busy street. In an attempt to r

vredina [299]

Answer:

a) X=77 drivers

b) Power of the test = 0.404

c) Increasing the sample size.

Step-by-step explanation:

This is a hypothesis test of proportions. As the claim is that the speed monitors were effective in reducing the speeding, this is a left-tail test.

For a left-tail test at a 5% significance level, we have a critical value of z that is zc=-1.645. This value is the limit of the rejection region. That means that if the test statistic z is smaller than zc=-1.645, the null hypothesis is rejected.

The proportion that would have a test statistic equal to this critical value can be expressed as:

$p_c=\pi+z_c\cdot\sigma_p$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.58*0.42}{150}}\\\\\\ \sigma_p=\sqrt{0.001624}=0.04$

Then, the proportion is:

$p_c=\pi+z_c\cdot\sigma_p=0.58-1.645*0.04=0.58-0.0658=0.5142$

This proportion, with a sample size of n=150, correspond to

$x=n\cdot p=150\cdot0.5142=77.13\approx 77$

The power of the test is the probability of correctly rejecting the null hypothesis.

The true proportion is 0.52, but we don't know at the time of the test, so the critical value to make a decision about rejecting the null hypothesis is still zc=-1.645 corresponding to a critical proportion of 0.51.

Then, we can say that the probability of rejecting the null hypothesis is still the probability of getting a sample of size n=150 with a proportion of 0.51 or smaller, but within a population with a proportion of 0.52.

The standard error has to be re-calculated for the new true proportion:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.52*0.48}{150}}\\\\\\ \sigma_p=\sqrt{0.001664}=0.041$

Then, we calculate the z-value for this proportion with the true proportion:

$z=\dfrac{p-\pi'}{\sigma_p}=\dfrac{0.51-0.52}{0.041}=\dfrac{-0.01}{0.041}=-0.244$

The probability of getting a sample of size n=150 with a proportion of 0.51 or lower is:

$P(p$

Then, the power of the test is β=0.404.

The only variable left to change in the test in order to increase the power of the test is the sample size, as the significance level can not be changed (it is related to the probability of a Type I error).

It the sample size is increased, the standard error of the proprotion decreases. As the standard error tends to zero, the critical proportion tend to 0.58, as we can see in its equation:

$\lim_{\sigma_p \to 0} p_c=\pi+ \lim_{\sigma_p \to 0}(z_c\cdot\sigma_p)=\pi=0.58$

Then, if the critical proportion increases, the z-score increases, and also the probability of rejecting the null hypothesis.

5 0

3 years ago

The area of this rectangle is 3x2. What does the coefficient 3 mean in terms

Olegator [25]

The coefficient 3 means the length is 3 times the width ⇒ B

Step-by-step explanation:

The formula of the area of a rectangle is A = l × w, where

l is the length of the rectangle
w is the width of the rectangle

∵ The width of the rectangle is x

∴ w = x

∵ The length of the rectangle is 3x

∴ l = 3x

- That means the length of the rectangle is 3 time the width

because x × 3 = 3x

∴ Area of the rectangle is A = 3x × x

∵ x × x = x²

∵ 3 × 1 = 3

∴ A = 3x²

∴ The coefficient 3 means the length is three times the width

The coefficient 3 means the length is 3 times the width

Learn more:

You can learn more about the rectangles in brainly.com/question/6594923

#LearnwithBrainly

4 0

2 years ago

Help please I'm so lost

kiruha [24]

A) okay so let x represent how old the friend is now. And 4 represent the years added on. If you have to be LESS then 18 years old to be in boy scouts, and the friend is still able to be in boy scouts after four years, then It can be modeled by x + 4 < 18
B) wrote down number values with 18 being in the middle. Plot a dot on the number 18 (with an open circle. Not filled in circle. A filled in circle means equal to and it is not equal to.) and since you have to be LESS then 18, you should draw a line going left to the smaller numbers of 18.

I hope this helps??

5 0

2 years ago