the length of a rectangle is 7 inches more than its width.if the perimeter of the rectangle is 66 inches,find its dimensions.

What is the difference between 4Σn=1, 2n+1 and 4Σi=1, (2i+1)?

alina1380 [7]

Answer:

0

Step-by-step explanation:

Each expression is a way to write the sum ...

3 + 5 + 7 + 9

That sum in each case is 24, so the difference is 24-24 = 0.

6 0

3 years ago

Determine the points of intersection of the given

aalyn [17]

Answer:

New questions in Mathematics

Find the volume of a pyramid with a square base, where the side length of the base is 18.7 ft and the height of the pyramid is 8.8 ft. Round your answ…

(USE THE CIRCLE GRAPH BELOW.) Magazine Sales Total $25,000 Boating 10% Sports 35% Other 5% Adults 20% Teens 30% What is the amount of sales for boatin…

Step-by-step explanation:

4 0

3 years ago

In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and de

Naily [24]

Answer:

$z=\frac{0.0156-0.0114}{\sqrt{0.01554(1-0.01554)(\frac{1}{32601}+\frac{1}{88})}}=0.318$

$p_v =P(Z>0.318)=0.375$

So the p value is a very high value and using the significance level provided $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona is not significantly higher than the national incident rate at 1% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=507$ represent the number of children diagnosed with Autism Spectrum Disorder (ASD) in Arizona

$n_{1}=32601$ sample elected from arizona

$\hat p_{1}=\frac{507}{32601} =0.0156$ represent the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona

$p_{2}=\frac{1}{88}= 0.0114$ represent the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in the nation

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to check if that the incident of ASD is more in Arizona than nationally, the system of hypothesis are:

Null hypothesis: $p_{1} \leq p_{2}$

Alternative hypothesis: $p_{1} > p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{507+1}{32601 +88}=0.01554$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.0156-0.0114}{\sqrt{0.01554(1-0.01554)(\frac{1}{32601}+\frac{1}{88})}}=0.318$

Statistical decision

The significance level provided is $\alpha=0.01$ , and we can calculate the p value for this test.

Since is a one right sided test the p value would be:

$p_v =P(Z>0.318)=0.375$

So the p value is a very high value and using the significance level provided $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona is not significantly higher than the national incident rate at 1% of significance.

5 0

3 years ago

How long is 9/10 inches

stellarik [79]

-- It's exactly 10% shorter than 1 inch, and 92.5% shorter than 1 foot.

-- It's also approximately 0.01343 smoot (rounded).

-- It's also approximately 2.286 centimeters, or 22.86 millimeters,
or 0.0000142 mile.

-- It's also approximately 0.000 000 000 000 000 002 418 light-year.

You see, "9/10 inch" is known and understood precisely wherever inches are
used in the world (everywhere throughout Liberia, Burma, and the USA) exactly
because "inch" is a unit that's exactly defined and agreed on in all those places.
But when you come along and say "I don't know what an inch is, describe it to me
in terms of something else", then you throw people for a loop.

If you can tell us what other unit you want to measure with ... like a flower,
a finger, an animal, or something else that we're also familiar with, then
we'll compare "9/10 inch" to that item for you. But that won't be exact,
because all of those things come in different sizes, and none of them has
a standard size that everybody agrees on.

8 0

3 years ago

What percent is a 26.17 out of 34?

Marysya12 [62]

The answer to the equation is 17%

7 0

4 years ago