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Afina-wow [57]
3 years ago
9

before school rafael jogs laps around the school. it takes him an average of 8 minutes to jog around the school once, and then i

t takes him 15 minutes to shower and get ready for school. which equation could be used to find m, the number of minutes it takes rafael to jog 4 laps and then shower and get ready for school?
Mathematics
1 answer:
larisa [96]3 years ago
8 0

4(8)+15=m

4(8)=32

32+15=47

m=47

hopes this helps to show ur work and solve the problem


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uppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
Marizza181 [45]

Answer:

P(x \le 3.24) = 0.97725

Step-by-step explanation:

Given

\bar x = 2.5

\sigma = 0.37

Required

Percentage that is not more than 3.24

The above implies that:

x = 3.24

Calculate z score

z = \frac{x - \bar x}{\sigma}

z = \frac{3.24 - 2.5}{0.37}

z = \frac{0.74}{0.37}

z = 2

So, the probability is represented s:

P(x \le 3.24) = P(z \le 2)

From z probability

P(z \le 2) = 0.97725

Hence:

P(x \le 3.24) = 0.97725

6 0
3 years ago
Triangle PQR and triangle XYZ are similar. The length of PQ= 4 inches, PR = 9 inches and QR = 12 inches. The length of the short
defon

<em><u>Simplified </u></em><em><u>Recap:</u></em>

PQR and XYR are similar.

PQ: 4 inches (shortest side)

PR: 9 inches

QR: 12 inches (longest side)

<em><u>Solving:</u></em>

Because they are similar triangles, we know that the sides of one triangle are proportional to the ones on the other. Therefore, the smallest side of PQR is proportional to the smallest side of XYZ. Now, we just need to figure out the constant of proportionality , and we can do that by dividing the smallest side of XYZ triangle by the smallest side of PQR.

16 \div 4 = 4

Now we know that the constant of proportionality is 4. All we have to do now is solve the problem. The question is asking what the longest side of XYZ is, and to find that we just need to multiply the longest side of PQR by our constant of proportionality.

12 \times 4 = 48

Therefore, our answer is 48.

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2 years ago
FIRST CORRECT ANSWER GETS BRAINLEST!!!
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Natasha_Volkova [10]

Answer:

it would be -94

Step-by-step explanation:

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