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3 years ago

6

Lilly bottles 4 1/8 quarts of barbecue sauce. Then she bottles another 5 7/8 quarts of barbecue sauce. How many 1-cup servings o

f barbecue sauce does she have in bottles

1 answer:

Pani-rosa [81]3 years ago

5 0

so there's 4 cups to a quart . so we just add 4 1/8 and 5 7/8 which gives us 10.

now that we have that we take ten and times it by 4 giving us 40. so there are 40 cups

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The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75

KatRina [158]

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean:

$\mu = 47$

(95% of data) range from 19 to 75 beats per minute.

This means that between 19 and 75, by the Empirical Rule, there are 4 standard deviations. So

$4\sigma = 75 - 19$

$4\sigma = 56$

$\sigma = \frac{56}{4} = 14$

a. What is the probability that the heart rate is less than 25 beats per minute?

This is the p-value of Z when X = 25. So

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

$Z = \frac{25 - 47}{14}$

$Z = -1.57$

$Z = -1.57$ has a p-value of 0.0582.

0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. What is the probability that the heart rate is greater than 60 beats per minute?

This is 1 subtracted by the p-value of Z when X = 60. So

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

$Z = \frac{60 - 47}{14}$

$Z = 0.93$

$Z = 0.93$ has a p-value of 0.8238.

1 - 0.8238 = 0.1762

0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. What is the probability that the heart rate is between 25 and 60 beats per minute?

This is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 25. From the previous two items, we have these two p-values. So

0.8238 - 0.0582 = 0.7656

0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

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2 years ago

What quadrilateral is this?

Kryger [21]

Answer: i think a

Pentagon

Step-by-step explanation:

if not im super sorry

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3 years ago

In a math class of 30 students, 17 are boys and 13 are girls. on a unit test, 4 boys and 5 girls made an a grade. if a student i

FromTheMoon [43]

There are 13 girls and 4 more students that are boys that made an A grade. Thus there are 13+4=17 students that are either girls or A students.

The probability of choosing a girl or A student is 17/30.

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3 years ago

Which system has infinitely many solutions?

GREYUIT [131]

The answer is "b"
***************************************************

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2 years ago

A car travels 45 mph. How far will it go in 4 hours and 20 minutes?

ra1l [238]

<u><em>(The Explanation):</em></u> What we are given is that the car drives 45 miles each hour. Furthermore, you need to multiply the amount of hours desired to the miles to get a total mile.

<u><em>(Step-By-Step Instructions):</em></u>

<em>45(4) and 45(20) </em> Multiply

<u><em>The Answers:</em></u> 4 hours = 180 miles / 20 hours = 900 miles

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3 years ago