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3 years ago

Can someone help me answer this please

Mathematics

2 answers:

shepuryov [24]3 years ago

5 0

Answer:

11.45 years

Step-by-step explanation:

22 inch ÷ 21 inch = 1.0476190476

Difference between Type A and B 12 inch

= 12 inch ÷ 1.0476190 = 11.454545

Will take 11.45 years to cover 12 inch of Type B

So,

Type B

21 inch per year × 11.45 years + 36 inch= 276.45 inch or 276 inch or 23 Feet.

Type A

22 inch ×11.45 years + 24 inch = 275.9 inch or 276 inch Or 23 Feet.

Maru [420]3 years ago

4 0

Answer:

3 years

Step-by-step explanation:

set two equations in inches and equate

Download pdf

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Can someone explain why everytime it rounds up to the thousands it doesnt keep the 4th number, it looks like it goes up by one,

salantis [7]

Answer:

REVENGE

Step-by-step explanation:

8 0

3 years ago

According to a Washington Post-ABC News poll, 331 of 502 randomly selected U.S. adults interviewed said they would not be bother

k0ka [10]

Answer:

$z=\frac{0.659 -0.5}{\sqrt{\frac{0.5(1-0.5)}{502}}}=7.124$

$p_v =P(z>7.124)=5.24x10^{-13}$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is significantly higher than 0.5.

Step-by-step explanation:

Data given and notation

n=502 represent the random sample taken

X=331 represent the adults that said they would not be bothered if the NAtional security agency

$\hat p=\frac{331}{502}=0.659$ estimated proportion of people who would not be bothered if the NAtional security agency

$p_o=0.5$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than the majority of 0.5:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.659 -0.5}{\sqrt{\frac{0.5(1-0.5)}{502}}}=7.124$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>7.124)=5.24x10^{-13}$

4 0

3 years ago

A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If

musickatia [10]

Answer:

a. The test statistic for this hypothesis would be z=1.71

b. Critical value at α = 0.10: z=1.282

c. Reject H0, the television network should not keep its current lineup.

d. H0: p ≤ 0.50; HA: p > 0.50

Step-by-step explanation:

We have to performa an hypothesis test on a proportion.

The claim is that the proportion of viewers that prefer the new show is bigger than 50% (meaning that most viewers prefer the new show).

The null hypothesis will state that both shows have the same proportion.

Then, the null and alternative hypothesis are:

$H_0: \pi\leq0.50\\\\H_a: \pi>0.5$

The sample proportion is p=0.53

$p=X/n=438/827=0.53$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.5*0.5}{827}}= 0.017$

Then, the z-statistic can be calculated as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.50-0.5/827}{0.017}=\dfrac{ 0.029 }{0.017} =1.706$

The critical value for a right tailed test at a significance level of 0.10 is zc=1.282. This value can be looked up in a standard normal distribution table.

As the statistic is bigger than the critical value, it lies in the rejection region. The null hypothesis is rejected. There is evidence to support the claim that the proportion of viewers which support the new show is larger than 0.50.

4 0

3 years ago

Determine if the following event is mutually exclusive:

sp2606 [1]

Answer:

Ask yourself: "Can I roll a prime number and an odd number at the same time?"

Since the answer is "yes it is possible" (eg: rolling a 3), this means the two events are not mutually exclusive. Mutually exclusive events have nothing in common.

In terms of a venn diagram, mutually exclusive events have no overlapping shared region.Step-by-step explanation:

6 0

3 years ago

Please help me with both questions!

vova2212 [387]

Answer:

maximum area will be 1058 square yards

maximum height will be 81 feet

Step-by-step explanation:

P = 2L +2W

but in this case it will be P= L+2W and P=92 yards

L+2W = 92

Solve for L , L = 92-2W

The area of rectangle A = L x W

Plug in L and simplify: A = (92-2W)W =92W -2W²

Plot in your calculator and look for maximum so when the width is 23 yards maximum area will be 1058 square yards.

Second problems is the maximum height of the rocket. Maximum will be at the vertex of the upside-down parabola.

7 0

3 years ago