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mina [271]
2 years ago
14

1. Solve for the variable in the following proportion.

Mathematics
2 answers:
Ugo [173]2 years ago
7 0

Answer:

1. 3

3. 10

Step-by-step explanation:

1. Write a proportion by writing each ratio as a fraction and setting the fractions equal. A proportion is an equation where two ratios are equal to each other. Then cross multiply denominator and numerator of each fraction to solve.

\frac{n}{.5} = \frac{6}{1}\\  1*n = 0.5*6\\n = 3

2. Repeat same process as #1.

3. The ratio of girls to boys is 3:2. There are 15 girls. write a proportion to solve using b as the number of boys.

\frac{3}{2} = \frac{15}{b}\\  3*b = 2*15\\3b = 30 \\ b = 10

There are 10 boys.

crimeas [40]2 years ago
5 0

Answer:

1. n = 3

2. b = 9

3. C) 25

4. A) 6 to 13

5. D) 2/d= c/5

Step-by-step explanation:

1. n is proportional to 1/2 and 6 is proportional to 1, then:

n/6 = (1/2)/1

n = 3

2. 1/4 is proportional to 1 1/4 and 2 is proportional to b, then:

(1/4)/2 = (1 1/4)/b

b = (1 1/4)/[(1/4)/2]

b = 9

3. The next proportion must be satisfied:

(3 girls)/(2 boys) = (15 girls)/(x boys)

x = 15*2/3

x = 10 boys

total students: 15 girls + 10 boys = 25

4. There are 12 adults + 14 students = 26 people in the trip. Then, 12 adults to 26 people, dividing by 2, 12/2 = 6 adults to 26/2 = 13 people

5. Given 2d = 5c

dividing by 5 and by d at both sides: 2/5= c/d

dividing by 2 and by c at both sides:  d/c = 5/2

dividing by d and by c at both sides:  2/c = 5/d

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3 years ago
A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exa
yarga [219]

Answer:

z= \frac{85-70}{10}=1.5

z= \frac{45-35}{5}=2

So then the correct answer for this case is:

B) Our student, Z= 1.50; his friend, Z=2.00.

Step-by-step explanation:

Assuming this complete question:

A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exams were scored on different scales. Remembering what he learned about the advantages of Z scores, he asks his friend for the mean and standard deviation of her class on the exam, as well as her final exam score. Here is the information:

Our student: Final exam score = 85; Class: M = 70; SD = 10.

His friend: Final exam score = 45; Class: M = 35; SD = 5.

The Z score for the student and his friend are:

A) Our student, Z= -1.07; his friend, Z= -1.14.

B) Our student, Z= 1.50; his friend, Z=2.00.

C) Our student, Z= 1.07; his friend, Z= -1.14.

D) Our student, Z= 1.07; his friend, Z= 1.50

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution

Let X the random variable that represent the scores for our student, and for this case we know that:

E(X)= \mu =70, SD_X=\sigma=10  

The z score is given by:

z=\frac{x-\mu}{\sigma}

If we use this we got:

z= \frac{85-70}{10}=1.5

Let Y the random variable that represent the scores for his friend, and for this case we know that:

E(Y)= \mu =35, SD_Y=\sigma=5  

The z score is given by:

z=\frac{y-\mu}{\sigma}

If we use this we got:

z= \frac{45-35}{5}=2

So then the correct answer for this case is:

B) Our student, Z= 1.50; his friend, Z=2.00.

3 0
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Please help me with this
Tamiku [17]

Answer:

20%

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8 0
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HELP!!!!!!!<br><br><br> What is 2 8/10 + (-3.5) in decimal form
GarryVolchara [31]

Answer: -0.7

Step-by-step explanation:

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