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klasskru [66]
3 years ago
12

Sphere with a radius of a radius of 42 inches

Mathematics
1 answer:
prisoha [69]3 years ago
5 0

Answer:

310339.1 in^3

Step-by-step explanation:

Volume=4/3*pi*r^3

Volume=4/3*pi*42^3

Volume=4/3*pi*74088

Volume=98784*pi

Volume=310339.0887

So the volume is about 310339.1 in^3

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Franchise Business Review stated over 50% of all food franchises earn a profit of less than $50,000 a year. In a sample of 130 c
nydimaria [60]

Answer:

We need a sample size of 564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

\pi = \frac{81}{130} = 0.6231

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.

We need a sample size of n

n is found when M = 0.04

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.6231*0.3769}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.6231*0.3769}

\sqrt{n} = \frac{1.96\sqrt{0.6231*0.3769}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.6231*0.3769}}{0.04})^{2}

n = 563.8

Rounding up

We need a sample size of 564.

4 0
3 years ago
8. The trapezoids are similar. The area of the smaller trapezoid is 131 m2. Find the area of the larger trapezoid to the nearest
kolbaska11 [484]

Answer:

3,726\ m^{2}

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x----> corresponding side of the larger trapezoid

y----> corresponding side of the smaller trapezoid

z=\frac{x}{y}

we have

x=64\ m

y=12\ m

substitute

z=\frac{64}{12}

step 2

Find the area of the larger trapezoid

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x----> area of the larger trapezoid

y----> area of the smaller trapezoid

z^{2}=\frac{x}{y}

we have

z=\frac{64}{12}

y=131\ m^{2}

substitute

(\frac{64}{12})^{2}=\frac{x}{131}

x=(\frac{4,096}{144})(131)

x=3,726\ m^{2}

5 0
3 years ago
Jason correctly graphed an inequality as shown below
sattari [20]
4 < = x + 4 < = 8.....subtract 4 from all sections
4 - 4 < = x + 4 - 4 < = 8 - 4...simplify
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this would produce a number line with a solid circle on 0 and a solid circle on 4, with shading in between....just like the graph shown in the picture u posted.

so the expression u would add would be : x + 4


8 0
3 years ago
Solve. x² – 5x + 6 = 0<br><br> {–2, –3}<br><br> {2, 3}<br><br> {3, –2}<br><br> {5, –1}
ddd [48]
What 2 numbes multiply go get 6 and add to get -5
-6 and 1

(x-6)(x+1)=0
set to zero

x-6=0
x=6

x+1=0
x=-1

last one
4 0
3 years ago
What is 2^30 write using exponents explain ur reasonging
padilas [110]
2 to the 30 power is <span>1073741824</span>
5 0
3 years ago
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