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3 years ago

Please someone help!!!

Mathematics

1 answer:

nydimaria [60]3 years ago

5 0

Answer:

322 feet

Step-by-step explanation:

first lets plug in our value for s in the equation

.05(70)^2+ 1.1(70)

we then sqaure 70 to get

.05(4900) + 1.1(70)

Then multiply to get

245 + 77

then add to get

322 feet

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Kazeer [188]

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.4= radius

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3 years ago

Most people complain that they gain weight during the December holidays. To find out how much, we sample the weights of 23 adult

kakasveta [241]

Answer:

The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 23 - 1 = 22

88% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.88}{2} = 0.94$ . So we have T = 1.6176

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.6176\frac{8.73}{\sqrt{23}} = 2.94$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.64 - 2.94 = -1.30 lbs

The upper end of the interval is the sample mean added to M. So it is 1.64 + 2.94 = 4.58 lbs

The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.

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3 years ago

Find the surface area of a sphere that has a volume of 288 cu. in.

LenKa [72]

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

R - radius

We have the volume = 288 in³. Substitute:

$\dfrac{4}{3}\pi R^3=288\qquad\text{multiply both sides by 3}\\\\4\pi R^3=864\qquad\text{divide both sides by}\ 4\pi\\\\R^3=\dfrac{216}{\pi}\to R=\sqrt[3]{\dfrac{216}{\pi}}\\\\R=\dfrac{\sqrt[3]{216}}{\sqrt[3]{\pi}}\\\\R=\dfrac{6}{\sqrt[3]{\pi}}\ in$

The formula of a surface area of a sphere:

$S.A.=4\pi R^2$

Substitute:

$S.A.=4\pi\left(\dfrac{6}{\sqrt[3]{\pi}}\right)^2=4\pi\cdot\dfrac{6^2}{\sqrt[3]{\pi^2}}=\dfrac{4\pi\cdot36}{\sqrt[3]{\pi^2}}=\dfrac{144\pi}{\sqrt[3]{\pi^2}}\\\\S.A.=\dfrac{144\pi}{\sqrt[3]{\pi^2}}\cdot\dfrac{\sqrt[3]{\pi}}{\sqrt[3]{\pi}}=\dfrac{144\pi\sqrt[3]{\pi}}{\sqrt[3]{\pi^3}}=\dfrac{144\pi\sqrt[3]{\pi}}{\pi}=\boxed{144\sqrt[3]{\pi}\ in^2}$

4 0

3 years ago

What times what equals 234, but then if you add them you get 31

USPshnik [31]

13*18
x*y =234
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we know the 2 # have to be double digits and both between 10-20

find 2 values that * to a number that ends in 4. Those are the ones value

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4 years ago

A city council organized a marathon race to promote good health. There were 3 times as many female participants as male particip

hichkok12 [17]

Answer:

609 males

Step-by-step explanation:

A city council organized a marathon race to promote good health.

Let the number of

Females = x

Males = y

There were 3 times as many female participants as male participants in the marathon.

3x = y

If the total number of participants was 812,

x + y = 812..... Equation 1

We substitute 3x for y in Equation 1

x + 3x = 812

4x = 812

x= 812/4

x = 203 females

3x = y

Solving for y

3(203) = 609 males

The number of males participants = 609

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3 years ago