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2 years ago

Mandy runs 4 km in 18 min. she plans to run in a 15 km race. how long will it take her to complete the race?

1 answer:

6 0

It will take Mandy an hour, seven minutes, and thirty seconds to complete the race.

(67 minutes and 30 seconds)

I hope my answer helped!

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Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113. a) What p

zvonat [6]

Answer:

15.39% of the scores are less than 450

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 565, \sigma = 113$

What percentage of the scores are less than 450?

This is the pvalue of Z when X = 450. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{450 - 565}{113}$

$Z = -1.02$

$Z = -1.02$ has a pvalue of 0.1539

15.39% of the scores are less than 450

6 0

3 years ago

There is a jar of jellybeans on Mr. Schidrich's desk. 40% of the jellybeans are red. If

pantera1 [17]

Answer:

22 Red Jellybeans

Step-by-step explanation:

Out of the 55 jellybeans in the jar, 40% of them are red, which means you have to do 40% of 55 to see which ones are red. We know 10% of 55 is 5.5, then multiply 5.5 x 4 to get 22 is 40% of 50 hope this helped :)

5 0

2 years ago

Es posible construir un triángulo rectángulo e isosceles

aniked [119]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

solniwko [45]

$Rewrite the expression 6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$$

The ratio of $\frac{q}{p}$ = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form $ax^{2} + bx + c$ to the vertex form

$a(x - h)^{2} + k$ . The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: $a(x + m)^{2} + n$ , such that the left side is a perfect square trinomial