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mixer [17]
3 years ago
6

Ben collected data from a group of 12 people. He measured each person’s resting heart rate and recorded the average number of ho

urs each person exercised per week. He created a scatterplot to show the data he collected.
Based on the scatterplot, what is the best prediction of the resting heart rate, in beats per minute, of a person who exercises an average of 8 hours each week?

A. 55 beats per minute

B. 60 beats per minute

C. 50 beats per minute

D. 30 beats per minute

Mathematics
2 answers:
Alex777 [14]3 years ago
7 0

Answer:

50

Step-by-step explanation:

andriy [413]3 years ago
7 0

Answer:

50

Step-by-step explanation:

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What is the smallest prime number p such that
Ne4ueva [31]

The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>

The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.

i.e.

  • p^3 + 4p^2 + 4p

By factorization, we have:

  • = p(p+2)²

Now, to get exactly 30 divisor.

  • (p+2)² requires to give us 15 factors.

Therefore, we can have an equation p + 2 = p₁ × p₂²

where:

  • p₁ and  p₂ relate to different values of odd prime numbers.

So, for the least values of p + 2, Let us assume that:

  • p₁ = 5 and p₂ = 3

p + 2 = 5 × 3²

p + 2 = 5 × 9

p + 2 = 45

p = 45 - 2

p = 43

Therefore, we can conclude that the smallest prime number p such that

p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

Learn more about prime numbers here:

brainly.com/question/145452

#SPJ1

8 0
1 year ago
Look at the two temperatures. How much have they changed by?<br> 4 degrees to -10 degrees
aliina [53]

Answer:

\displaystyle 14

Step-by-step explanation:

we are given two temperature

4 degrees and -10 degrees

since it says to figure out the changed

substract

\displaystyle 4 - ( - 10)

remove parentheses and change its sign

\displaystyle 4  + 10

simplify addition:

\displaystyle 14

and we are done!

4 0
3 years ago
Read 2 more answers
Solve the system of linear equations by substitution.
Goryan [66]

Answer:

hey! This was the only part of mathematics I ever enjoyed! So consider this both of our lucky days: Answer is : (2,7)

Step-by-step explanation:

basically plug in Y to the first equation as sox + 4(-x + 9) = 30

x - 4x + 36 = 30- 3x = - 6

x = 2

then plug that in to Y!

Y = -(2) + 9

so Y = 7

and our answer is : (2,7)

6 0
3 years ago
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-4r &lt; 22<br><br> Can someone help with this inequality?
svp [43]
Lol u thought I was writing an answer hahahaha
8 0
3 years ago
Enter the fraction as a decimal and as a percent.
BaLLatris [955]
As a decimal .375 as a percentage it would be 37.5
4 0
3 years ago
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