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wel
3 years ago
5

In 25 minutes Jezebel can run 10 laps around the track. Part I) Determine the unit rate for the number of laps she can run per m

inute. Part II) Find the constant of proportionality for this situation.
Mathematics
1 answer:
Cloud [144]3 years ago
8 0

Answer: See explanation

Step-by-step explanation:

a. Determine the unit rate for the number of laps she can run per minute.

This will be calculated as the number of minutes used divided by the number of laps which will be:

= 25 / 10

= 2.5 minutes per lap.

b. Find the constant of proportionality for this situation.

We will use the formula y = kx

where y = 25, x = 10, k = constant of proportionality.

Therefore, y = kx

25 = 10k

k = 25/10

k = 2.5

The constant of proportionality is 2.5

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Isaiah scores with 50% of his penalty kicks in soccer. He flips two fair coins to conduct a simulation with 20 trials to determi
Ratling [72]

The probability that Isaiah makes a penalty kick is the likelihood of making the kick

The probability that Isaiah makes both penalty kicks is 35%

<h3>How to determine the probability?</h3>

From the sample space, there are 7 occurrences where Isaiah makes both penalty kicks, and there are 20 occurrences in all

So, the probability (p) that Isaiah makes both penalty kicks is:

p = 7/20

Evaluate the quotient

p = 0.35

Express as percentage

p = 35%

Hence, the probability that Isaiah makes both penalty kicks is 35%

Read more about probability at:

brainly.com/question/25870256

7 0
3 years ago
Allie is deciding to take her vacation she wrote each year on a separate piece of paper...
rosijanka [135]
The answer is J, 23/100.
3 0
3 years ago
If the ratio of radius of two spheres is 4:7, the ratio of their volume is?​
Kazeer [188]

Answer:

64 : 343

Step-by-step explanation:

First use the radii to find the volume

1) Radius of first sphere is 4 (taken from 4:7 ratio)

   Insert it into the equation for volume of a sphere: V=4 /3πr^3

   V = (4/3)(π)(4^3)

   V = (4/3)(π)(64)

   V = 256/3 π

   Volume of the first sphere = 256/3 π

2) Radius of the second sphere is 7 (also taken from 4:7 ratio)

   Insert it into the equation for volume of a sphere: V=4 /3πr^3

   V = (4/3)(π)(7^3)

   V = (4/3)(π)(343)

   V = 1372/3 π

   Volume of the second sphere = 1372/3 π

Next, calculate the ratio by dividing the two numbers

256/3 π ÷ 1372/3 π

Answer should be 64 : 343

The simple way to do this problem is to just cube the numbers:  

4:7 becomes 4^3 : 7^3 = 64 : 343

Either way works.

6 0
3 years ago
What is the y intercept in the following equation y = -4x-5the answer options are : -55-4x-4
blagie [28]

in order to find the y-intercept of an equation, we must just make x=0.

So:

y = -4x-5

y = -4*0 -5

y = -5

Answer: -5

7 0
1 year ago
WILL GIVE BRINALIEST!
Liono4ka [1.6K]

-21,  -23, -27, -28, -28, -29 order them least to greatest and then find the middle if there is not a middle then put -27.5 as your answer for the median. For the mean add up all the number then you should get -156 then divide it by 6 which should give you -26 for the mean.  and for the mode you should get -28 as the one that occurs the most often.

mean: -26

median: -27.5

mode: -28

4 0
3 years ago
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