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gayaneshka [121]
3 years ago
11

What is the volume of the sphere, rounded to the nearest cubic foot?

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0

Given:

Radius = 5 ft

To find:

The volume of the sphere

Solution:

Volume of the sphere:

$V=\frac{4}{3}\pi r^3

$V=\frac{4}{3}\times 3.142 \times 5^3

$V=523.66

$V=524

The volume of the sphere is 524 ft³.

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a school cafeteria is considering new menu options. the manager puts a comment box jn the cafeteria where students can anonymous
viktelen [127]

Answer:

No, it is not a representative sample

Step-by-step explanation:

The sampling technique used above is more of a random sampling than a representative sampling. Reason is that;

A representative sample is referred to as a group or set selected from a larger population that satisfactorily represent the population in study in accordance to whatever criteria is under study.

The criteria could be age, sex, class, etc.

Another reason why it can't be considered as a representative sample is that, using representative sampling makes sure that all relevant types of people are included in your sample and that the right mix of people are interviewed.

In the question above, anybody can submit his or choice and number of submissions is not limited.

8 0
2 years ago
In a random sample of n1 = 162 males, there are x1 = 63 people that have blue eyes. In a random sample of n2 = 333 females, ther
sesenic [268]

Answer:

z = 2.1784 > 1.96,

Reject the null hypothesis

Step-by-step explanation:

For the males:

n1  = 162, x1 = 63

P1 = x 1/ n1 = 0.3889

For the Females:

n2 = 333,

x2 = 97

P 2 = x2/n2

= 0.2913

P 1= P2 Null hypothesis

P 1 is not equal to P 2 alternative hypothesis

Pooled proportion:

P= (x1 + x2) /( n1+ n2)

= (63 + 97) / (162 + 333)= 0.3232

Test statistics :

Z= (p1 - p2) /√p(1-p)× (1/n1 + 1/n2)

0.3889- 0.2913 / √0.3232 × 0.6768 × (1/162 +1/333)

=2.1784

c) Critical value :

Two tailed critical value, z critical = Norm.S .INV (0.05/2) = 1.960

Reject H o if z < -1.96 or if z > 1.96

d) Decision:

z = 2.1784 > 1.96,

Reject the null hypothesis

7 0
3 years ago
Experts please please PLEASE answer this question ASAP! Due today.
quester [9]

The height of the given trapezoid is 7.5 m.

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.

The trapezoid's area, A = \frac{b_{1}+b_{2}}{2} (h).

Here b_{1} is the lower base length and b_{2} is the upper base length while h is the height.

Step 2:

In the given problem, b_{1}=5 \mathrm{m} and b_{2}=3 \mathrm{m}. Assume the height is h m.

The trapezoid's area = 30.

30 = \frac{5+3}{2} (h), 30 = (4)(h).

h = \frac{30}{4} = 7.5.

So the height of the given trapezoid is 7.5 m.

8 0
3 years ago
NEED HELP ,,,,,,, HELP IF U CAN ASAP
kramer

Answer:

$24.84

Step-by-step explanation:

i did the work lol

give brainliest please

8 0
3 years ago
Read 2 more answers
Evaluate <br><br> -3+2 / -5+-1 /6+-4 / -2+-7
irinina [24]

Answer: -3+2 = -1 / -5+-1 = -6 / 6+-4 = 2 / -2+-7 = -9

Step-by-step explanation: oof

3 0
3 years ago
Read 2 more answers
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