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2 years ago

A beachball has a surface area of about 615.75 square meters. Find the

Mathematics

1 answer:

Genrish500 [490]2 years ago

5 0

Answer: The radius of the ball is 7 meters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a sphere: 4 π r^2

Replacing with the value given:

615.75 = 4 π r^2

Solving for r (radius):

615.75 /4π= r^2

√(615.75 /4π) =r

r = 6.99 = 7m (rounded)

The radius of the ball is 7 meters.

Feel free to ask for more if needed or if you did not understand something.

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According to Internet security experts, approximately 90% of all e-mail messages are spam (unsolicited commercial e-mail), while

KonstantinChe [14]

Answer:

0.0656

Step-by-step explanation:

For each message, we have these following probabilities:

90% probability it is spam.

10% probability it is legitimate.

Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:

The first four all spam, each with a 90% probability.

The fifth legitimate, with a 10% probability.

$P = (0.9)^{4} \times 0.1 = 0.0656$

3 0

3 years ago

Please find the answers below

spayn [35]

Answer:

option 3 is the correct.....

Step-by-step explanation:

multiplying all the algebraic expressions

volume of cuboid = 3x (x+3)(x+1)

= 3x³ + 12x² + 9x

3 0

2 years ago

What is the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81?

Marizza181 [45]

Answer: d. 1.3333

Step-by-step explanation:

We know that the standard error of a sampling distribution is given by :-

$S.E.=\dfrac{\sigma}{\sqrt{n}}$

, where $\sigma$ = Population standard deviation.

n= Sample size.

AS per given , we have

$\sigma =12$

n=81

Then, the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81 will be :-

$S.E.=\dfrac{12}{\sqrt{81}}$

$=\dfrac{12}{\sqrt{9^2}}=\dfrac{12}{9}\\\\=\dfrac{4}{3}\\\\\approx1.3333$

Hence, the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81 is 1.3333.

Thus the correct answer is d. 1.3333 .

6 0

3 years ago

How many factors in the expression 8(x +4) (y +4) (z 2 + 4z + 7) have exactly two terms?

Anna11 [10]

From the expression <span>8(x +4) (y +4) (z 2 + 4z + 7),
</span>the factors are 8, (x+4), (y+4), <span>(z^2 + 4z + 7) since each of these factors, when you divide that to the whole expression won't give a remainder</span>

4 0

3 years ago

Read 2 more answers

Which frequency table shows the test times (in minutes) for a reading test?

Naily [24]

In case the given numbers are :

81 63 61 58 72 70 79 68 82 64 54 82 72 63 64 76 57 64 73 58

we have :

50-59 , frequency is 4 (58, 54, 57, 58)

60 - 69, frequency is 7 ( 63, 61, 68, 64, 63, 64, 64)

70 - 79, frequency is 6 (72, 70, 79, 72, 76, 73)

80-89, frequency is 3 (81, 82, 82)

So correct option which matches the above data is option second.

Answer is table number two.

3 0

3 years ago

Read 2 more answers