Which table represents a direct variation function?

Megan spent $9.85 on ingredients to make one pan of cereal bar and has a length of 24 inches and a width of 16 inches. Megan nee

masya89 [10]

Answer:

96 bars = 10cent each (dime/pence etc) 10.2604166667 each

Step-by-step explanation:

if the cereal bars are accounted for 24inch x 4inch and 4inch lengths seem appropriate length, Then we can account for 1inch x 16 inch widths being 1'' wide each. 6 x 16 = 96 and 96/388 = 4 being the length.

Extended: Area of pan 24 x 16 = 240+148= area of 388in^2

96 bars costing ($9.85) 985/96

3 0

2 years ago

According to a Pew Research survey, about 27% of American adults are pessimistic about the future of marriage and the family. Th

IgorLugansk [536]

Answer:

P(X≤5)=0.5357

Step-by-step explanation:

Using the binomial model, the probability that x adults from the sample, are pessimistic about the future is calculated as:

$P(x)=\frac{n!}{x!(n-x)!} *p^{x}*(1-p)^{n-x}$

Where n is the size of the sample and p is the probability that an adult is pessimistic about the future of marriage and family. So, replacing n by 20 and p by 0.27, we get:

$P(x)=\frac{20!}{x!(20-x)!}*0.27^{x}*(1-0.27)^{20-x}$

Now, 25% of 20 people is equal to 5 people, so the probability that, in a sample of 20 American adults, 25% or fewer of the people are pessimistic about the future of marriage and family is equal to calculated the probability that in the sample of 20 adults, 5 people of fewer are pessimistic about the future of marriage and family.

Then, that probability is calculated as:

P(X≤5)= P(1) + P(2) + P(3) + P(4) + P(5)

Where:

$P(0)=\frac{20!}{0!(20-0)!}*0.27^{0}*(1-0.27)^{20-0}=0.0018$

$P(1)=\frac{20!}{1!(20-1)!}*0.27^{1}*(1-0.27)^{20-1}=0.0137$

$P(2)=\frac{20!}{2!(20-2)!}*0.27^{2}*(1-0.27)^{20-2}=0.0480\\P(3)=\frac{20!}{3!(20-3)!}*0.27^{3}*(1-0.27)^{20-3}=0.1065\\P(4)=\frac{20!}{4!(20-4)!}*0.27^{4}*(1-0.27)^{20-4}=0.1675\\P(5)=\frac{20!}{5!(20-5)!}*0.27^{5}*(1-0.27)^{20-5}=0.1982$

Finally, P(X≤5) is equal to:

P(X≤5) = 0.0018+0.0137 + 0.0480 + 0.1065 + 0.1675 + 0.1982

P(X≤5) = 0.5357

3 0

1 year ago

A line has a y-Intercept of -11 and slope of 0.25. Write it's equation in slope-intercept form.

Karo-lina-s [1.5K]

Could you give me an example of a slope-intercept form? like the formula then I'll be able to help

5 0

1 year ago

Read 2 more answers

B) Find the principal that yields an interest of Rs 2240 at the rate of 10% p.a. in 3

murzikaleks [220]

Answer:

1,500

Step-by-step explanation:

8 0

2 years ago

The Boston public school district has had difficulty maintaining on-time bus service for its students ("A Year Later, School Bus

zheka24 [161]

Answer:

$z=\frac{8-12}{\frac{12}{\sqrt{36}}}=-2$

C. z=-2.00

Step-by-step explanation:

Data given and notation

$\bar X=8$ represent the sample mean

$\sigma=12$ represent the population standard deviation

$n=36$ sample size

$\mu_o =12$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the ture mean is equal to 12 or no, the system of hypothesis would be:

Null hypothesis: $\mu =12$

Alternative hypothesis: $\mu \neq 12$

If we analyze the size for the sample is > 30 and know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{8-12}{\frac{12}{\sqrt{36}}}=-2$

C. z=-2.00

8 0

1 year ago