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2 years ago

P(Music/Drama) round to the nearest percent

Mathematics

1 answer:

dangina [55]2 years ago

8 0

Using it's concept, the probability that a randomly selected student is in music/drama is: 25%.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Hence, in this problem, the probability will be found dividing the number of students that are in music or drama by the total number of students.

These data is given in a table, which is not given in this exercise. Researching this problem on the internet, we have that there are 20 + 7 + 3 + 20 + 13 + 2 + 25 + 5 + 5 = 100 students, of which 7 + 13 + 5 = 25 are in music/drama, hence the probability is:

P = 25/100 = 25%.

More can be learned about probabilities at brainly.com/question/1439828

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Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10

Tju [1.3M]

Answer: 0.8238

Step-by-step explanation:

Given : Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with $\mu=106$ and $\sigma=15$ .

Let x denotes the scores on a certain intelligence test for children between ages 13 and 15 years.

Then, the proportion of children aged 13 to 15 years old have scores on this test above 92 will be :-

$P(x>92)=1-P(x\leq92)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{92-106}{15})\\\\=1-P(z\leq })\\\\=1-P(z\leq-0.93)=1-(1-P(z\leq0.93))\ \ [\because\ P(Z\leq -z)=1-P(Z\leq z)]\\\\=P(z\leq0.93)=0.8238\ \ [\text{By using z-value table.}]$

Hence, the proportion of children aged 13 to 15 years old have scores on this test above 92 = 0.8238

4 0

3 years ago

Use the figure to the right to find the value of PT. T is the midpoint of PQ.

vichka [17]

Answer:

Step-by-step explanation:

Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.

Therefore:

$5x + 2 = 7x - 6$

Let's find the value of x

Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.

$5x - 7x = - 2 - 6$

$-2x = -8$

Divide both sides by -2

$x = 4$

Plug in the value of x into the expression, 5x + 2, to find PT.

PT = 5(4) + 2 = 22.

8 0

3 years ago

To which subsets of real numbers does -22 belong? Chose all the apply

KATRIN_1 [288]

-22 belongs to the set of Integers, rational numbers

3 0

4 years ago

Integrate x<br><img src="https://tex.z-dn.net/?f=x4" id="TexFormula1" title="x4" alt="x4" align="absmiddle" class="latex-formula

Dmitrij [34]

Answer:

The result of the integration is $\frac{x^5}{5}$

Step-by-step explanation:

Integration of a power of x:

The integration of a power of x is:

$\int x^{n} dx = \frac{x^{n+1}}{n+1}$

In this question:

$n = 4$ . So

$\int x^{4} dx = \frac{x^{4+1}}{4+1} = \frac{x^5}{5}$

The result of the integration is $\frac{x^5}{5}$

4 0

2 years ago

If several points are graphed on a number line, is the point that is the farthest from 0 always the greatest?explain.

balandron [24]

Answer:

Step-by-step explanation:

On a number line, the 0 is in the middle. Positive numbers are to the right of the 0 and negative numbers are to the left of the 0. A point farthest from 0 could be on the left side and therefore be really small. Therefore the point farthest from 0 is not always the greatest as it could also be the smallest

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3 years ago