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Lapatulllka [165]
3 years ago
9

Kim knows she should keep her fat intake to less than 130 grams per day if on a 4,000 calorie diet. She is on a 1,500 calorie pe

r day diet. How many grams of fat should she limit herself to each day?
A. 4,867 grams


B. 5067 grams


C. 48.7567 grams


D. 86.67 grams
Mathematics
2 answers:
blagie [28]3 years ago
6 0
I would say either C or D. Most likely c
evablogger [386]3 years ago
4 0
130/4000 = 13/400

13/400 = 0.0325

= 3.25%

Soo.. 3.25% of 1500 is your answer 

This is how I find percentages..
10% of 1500 = 150
So 5% of 1500 = 75
So 2.5% of 1500 = 37.5

since you are looking for 3.25%, find an answer in between 37.5 and 75, eliminating all answers but C.

The answer is C = 48.7567 grams

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Dave drives to work each morning at about the same time. His commute time is normally distributed with a mean of 35 minutes and
IgorLugansk [536]

Answer:

The percentage of time that his commute time is less than 44 minutes is equal to the area under the standard normal curve that lies to the left of 1.8.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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, or the area of the normal curve to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, or the area of the normal curve to the right of Z.

In this problem, we have that:

\mu = 35, \sigma = 5

Less than 44 minutes.

Area to the left of Z when X = 44. So

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

Z = \frac{44 - 35}{5}

Z = 1.8

So the answer is:

The percentage of time that his commute time is less than 44 minutes is equal to the area under the standard normal curve that lies to the left of 1.8.

7 0
3 years ago
If it takes 5 1/7 yards of material to make a pillow cover, how much material will be needed to make 9 pillow covers?
s2008m [1.1K]

\text{Answer: }46\frac{2}{7}\text{ yards is needed to make 9 pillow covers.}

Step-by-step explanation:

Since we have given that

Material needed to make a pillow cover is given by

5\frac{1}{7}\ yards=\frac{36}{7}\ yards

We need to calculate the material which will be needed to make 9 pillows covers.

So, we use the "Multiplication Operation" as we need the value for more pillow covers :

9\times \frac{36}{7}\\\\=\frac{324}{7}\\\\=46\frac{2}{7}\ yards

\text{Hence, }46\frac{2}{7}\text{ yards is needed to make 9 pillow covers.}

3 0
3 years ago
A triangle has a hypotenuse that is 65 inches, and the length of one of its legs is 25 inches. What is the length, in inches, of
algol [13]

Answer:

okay so the way your going to set this up is backwards because you already know your hypotenuse. 65^2 = 25^2 + b^2. So its 24 feet

Step-by-step explanation:

5 0
2 years ago
Janet researcher compares the math placement scores of college applicants who have, or have not taken a special college preparat
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Independent Variable (IV):  Special college preparation program

How will you describe the IV: Independent variable or known as manipulated variable is a variable where the researcher purposely manipulate the variable to see how it affect the results of the experiment.

Dependent variables (DV): Math placement scores of college applicants

How will you measure the DV: DV can be measured by recording the math placement scores of each applicants who have or have not taken the special college preparation program.

Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV). Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV).

Hypothesis:

If the applicants take the special college preparation program, the applicants will have higher math placement scores compared to the one who have do not take the program.

8 0
3 years ago
What is the are of this triangle? ( Look at the photo)
Eva8 [605]

Answer:

9 x 4 = 36 divided by 2 = 18

3 0
3 years ago
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