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marysya [2.9K]
8 months ago
7

Finding a percentage of a total amount: Real-world situations

Mathematics
1 answer:
Alekssandra [29.7K]8 months ago
6 0

Answer: 34.3 megabytes

Step-by-step explanation:

To find how many megabytes have been downloaded you must multiply 13.3% by 258. 13.3% can be written as the decimal 0.133

Now let's multiply

258×0.133=34.314

Rounded to the nearest tenth that is 34.3

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The sum of 4 consecutive odd number is 40. What is the greatest of the 4 numbers?
Helen [10]
13 because

13+11+9+7=40
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3 years ago
In a experiment, the probability that event A occurs is 5/9, the probability that event B occurs is 5/7, and the probability tha
Ymorist [56]

Answer:

52.5% probability that A occurs given B occurs

Step-by-step explanation:

Suppose we have two events, A and B, the conditional probability formula is:

P(A|B) = \frac{P(A \cap B)}{P(B)}

In which

P(A|B) is the probability of A happening given that B happened.

P(A \cap B) is the probability of both A and B happening.

P(B) is the probability of B happening.

In this problem, we have that:

P(A \cap B) = \frac{3}{8}, P(B) = \frac{5}{7}

So

P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{\frac{3}{8}}{\frac{5}{7}} = 0.525

52.5% probability that A occurs given B occurs

7 0
3 years ago
What the value of 6(2b-4} when b=5
Artist 52 [7]

Answer:

6(2b - 4) \\ b = 5 \\ 6(2 \times 5 - 4) \\  = 6(10 - 4) \\ = 6(6) \\  = 36 \\ thank \: you

8 0
2 years ago
Read 2 more answers
The table below shows the scores of a group of students on a 10-point quiz.Test ScoreFrequency3 54 15 16 27 28 49 310 1The mean
Katarina [22]

Explanation

Part A

We can use the formula below to find the mean.

\text{Mean}=\sum ^{}_{}(\frac{fx}{f})

We will then have;

\begin{gathered} \text{Mean = }\frac{5\times3+4\times1+5\times1+6\times2+7\times2+8\times4+9\times3+10\times1}{19}=\frac{15+4+5+12+14+32+27+10}{19} \\ =\frac{119}{19}=6.2632 \end{gathered}

Mean = 6.2632

Part B

Since the data set is odd.

\begin{gathered} \text{Median}=\frac{(n+1)}{2}^{th}\text{observation} \\ =\text{Value of }\frac{\text{(19+1)}}{2}^{th}\text{observation} \\ =\text{value of 10th observation} \end{gathered}

Answer: From the column of cumulative frequency cf, the median is 7

5 0
1 year ago
The sphere below has a radius of 2.5 inches and an approximate volume of 65.42 cubic inches.
Stells [14]

Part a: The radius of the second sphere is 5 inches.

Part b: The volume of the second sphere is 523.33 in³

Part c; The radius of the third sphere is 1.875 inches.

Part d: The volume of the third sphere is 27.59 in³

Explanation:

Given that the radius of the sphere is 2.5 inches.

Part a: We need to determine the radius of the second sphere.

Given that the second sphere has twice the radius of the given sphere.

Radius of the second sphere = 2 × 2.5 = 5 inches

Thus, the radius of the second sphere is 5 inches.

Part b: we need to determine the volume of the second sphere.

The formula to find the volume of the sphere is given by

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

Substituting \pi=3.14 and r=5 , we get,

V=\frac{4}{3} (3.14)(125)

V=\frac{1580}{3}

V=523.3333 \ in^3

Rounding off to two decimal places, we have,

V=523.33 \ in^3

Thus, the volume of the second sphere is 523.33 in³

Part c: We need to determine the radius of the third sphere

Given that the third sphere has a diameter that is three-fourths of the diameter of the given sphere.

Hence, we have,

Diameter of the third sphere = \frac{3}{4} (5)=3.75

Radius of the third sphere = \frac{3.75}{2} =1.875

Thus, the radius of the third sphere is 1.875 inches

Part d: We need to determine the volume of the third sphere

The formula to find the volume of the sphere is given by

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

Substituting \pi=3.14 and r=1.875 , we get,

V=\frac{4}{3} (3.14)(1.875)^3

V=\frac{4}{3} (3.14)(6.59)

V=27.5901 \ in^3

Rounding off to two decimal places, we have,

V=27.59 \ in^3

Thus, the volume of the third sphere is 27.59 in³

4 0
3 years ago
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