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Anit [1.1K]
3 years ago
13

The table below shows the relationship between the number of calories burned and the minutes of exercise.

Mathematics
1 answer:
sergejj [24]3 years ago
5 0

Answer:

Option B

Step-by-step explanation:

Since, number of calories 'C' burned is proportional to the number of minutes (m) given to the exercise,

C ∝ m

C = km

Where k is the proportionality constant.

From the table attached,

For C = 250 calories and m = 30 minutes,

250 = 30k

k = \frac{250}{30}

  = \frac{25}{3}

Therefore, equation representing this situation will be,

C = \frac{25}{3}m

Option B will be the correct option.

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A jar contains nickels and dimes. There are 20 coins in the jar, and the total value of
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Answer:

Step-by-step explanation:

n and d are the number of nickels and dimes, respectively.

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0.05n + 0.10d = 1.40

0.05n + 0.10(20-n) = 1.40

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2 years ago
Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.
Genrish500 [490]

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Option C.

Step-by-step explanation:

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Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 18 miles per day. The mileage per day
kvv77 [185]

The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

<h3>How to calculate the probability distribution?</h3>

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

<h3>Calculation:</h3>

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

   = 1.67

Z - score for X = 156:

Z = (156 - 120)/18

  = 2

So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

Learn more about standard normal distribution here:

brainly.com/question/26822684

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