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3 years ago

14

X 8.2.79

1 answer:

slega [8]3 years ago

6 0

Answer:

steak: 1/2
baked eggs: 2
acorn squash: 1

Step-by-step explanation:

Let s, b, a represent the numbers of servings of steak, baked eggs, and acorn squash, respectively. Then the equations we want to solve are ...

40s +20b +4a = 64 . . . . grams of protein

10s +2b +20a = 29 . . . . grams of carbohydrate

1s +20b +32a = 72.5 . . . milligrams of vitamin A

There are any number of calculators or web sites that will solve this system of equations for you. The solution is ...

s = 0.5

b = 2

a = 1

The dietitian should provide 1/2 serving of steak, 2 servings of baked eggs, and 1 serving of acorn squash.

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A bicycle helmet has a selling price of $50. The helmet is discounted 30% off the selling price. The sales tax rate is 6%. What

Andrei [34K]

Convert 30% to a decimal by dividing by 100 = 0.30

Multiply by the cost of the helmet, $50
50 x 0.30 = $15, the amount of the discount.

50-15 = $35, the sale price of the helmet.

For the sales tax, again, convert to a decimal by dividing by 100 = 0.06

35 x 0.06 = 2.10, the amount of sales tax

$35 + $2.10 = $37.10, total cost with tax

6 0

3 years ago

Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of

tatyana61 [14]

Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For this problem, the parameters are given as follows:

$\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743$

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:

X = 16:

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

By the Central Limit Theorem

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

$Z = \frac{16 - 15}{0.4743}$

Z = 2.11

Z = 2.11 has a p-value of 0.9826.

X = 15:

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

$Z = \frac{15 - 15}{0.4743}$

Z = 0

Z = 0 has a p-value of 0.5.

0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0

2 years ago

A boy rides his bike at a speed of 28 miles per hour. How

sergejj [24]

Answer:

About 4 hours.

Step-by-step explanation:

Let's set up a proportion and cross multiply.

$\frac{28 miles}{1 hour} = \frac{120 miles}{x}$

Cross multiply.

120 = 28x

Divide by 28 on both sides.

= 4.28571428571

Round this to the nearest whole number, which is just 4. The answer is about 4 hours.

6 0

3 years ago

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Soloha48 [4]

Answer:

sdf

Step-by-step explanation:

6 0

3 years ago

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The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -3 ≤ x ≤ 6

victus00 [196]

Answer:

Average ROC = 0

Step-by-step explanation:

Average ROC : (f(b) - f(a)) / (b - a) ... slope = (y'-y) / (x'-x)

a = -3 f(a) = 10 ... x=-3, y=10

b = 6 f(b) = 10 ... x'=6, y'=10

Average ROC = (10 - 10) / (6 - -3) = 0 / 9 = 0

4 0

3 years ago