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Stella [2.4K]
3 years ago
11

McKenzie runs 1.5 mi every 10 min.

Mathematics
1 answer:
mylen [45]3 years ago
8 0
If McKenzie runs 1.5 mp10m, multiply 1.5 by 6. McKenzie runs 9 miles per hour.
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Consider a normal distribution with mean 23 and standard deviation 7. What is the probability a value selected at random from th
Trava [24]

Answer:

0.5 = 50% probability a value selected at random from this distribution is greater than 23

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 = 23, \sigma = 7

What is the probability a value selected at random from this distribution is greater than 23?

This is 1 subtracted by the pvalue of Z when X = 23. So

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

Z = \frac{23 - 23}{7}

Z = 0

Z = 0 has a pvalue of 0.5

0.5 = 50% probability a value selected at random from this distribution is greater than 23

5 0
3 years ago
Read 2 more answers
Scientific notation is good way to write what numbers
OLEGan [10]

It’s a great way to write numbers that are very big numbers or very small numbers.

Have a great day!

6 0
3 years ago
Can somebody help me please ​
vesna_86 [32]

9514 1404 393

Answer:

  • 3n+6 (n = smallest)
  • 3n (n = middle)

Step-by-step explanation:

The usual method for doing this is to let n represent the smallest one. Then the three integers are ...

  n, n+2, and n+4

and their sum is ...

  (n) +(n+2) +(n+4) = 3n+6 . . . . sum of 3 consecutive odd integers (n = smallest)

_____

Personally, for consecutive number problems, I prefer to let the variable represent the average value. If n is the average value of 3 consecutive odd integers, is is the middle integer. Of course, the sum will be 3 times the average:

  (n-2) +(n) +(n+2) = 3n . . . . sum of 3 consecutive odd integers (n = middle one)

4 0
3 years ago
PLEASE HELP QUICK, I need to know the answer.
Marysya12 [62]

The equivalent expression is 7^{2}.

We have the following expression -

\frac{7^{-3} }{7^{-5} }

We have to find its equivalent value.

<h3>What is the equivalent expression of the following expression-</h3>

f(x, y) =\frac{A^{x} }{A^{y} }

In order to divide two exponents with same base, we use the 'Quotient property of exponents.

The equivalent expression can be written as -

f(x, y) = A^{x} A^{-y} = A^{x-y}

In the question given we have -

\frac{7^{-3} }{7^{-5} }

Using the property discussed above -

7^{-3}\;7^{5} = 7^{-3+5} = 7^{2}

Hence, the equivalent expression is 7^{2}.

To solve more questions on exponents, visit the link below -

brainly.com/question/17173276

#SPJ5

3 0
2 years ago
Read 2 more answers
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equatio
In-s [12.5K]

Answer:

r^{2} = \sqrt{y^{2} + x^{2} }

Then just plug in the values depending on the bridge you chose I'm pretty sure

also can I get brainliest?

6 0
3 years ago
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