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Charra [1.4K]
3 years ago
15

Complete the table. Explain why the relationship is a proportional relationship. A cashier earns $8 per hour. Time (h) 2 4 Pay (

$) 16 40 72 Proportional? Why?
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

Answer:

8  16  24  32  <u>40</u>  48  56  64  <u>72</u>

1   2     3    4    <u>5</u>    6    7     8    <u>9</u>

Step-by-step explanation:

The proportion is 8:1

When the dollar amounts increase by 8, the hour amounts increase by 1, and vice versa. That is why it is a proportion.

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Six different​ second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic re
mixer [17]

Answer: range= 26, variance= 80 and standard deviation= 8.94

Step-by-step explanation:

Range = highest - lowest

Range = 146 - 120

Range= 26

Let m be mean

M=mean=sum/n

Mean=(120+134+146+127+138+133) / 6

M=798/6

M=133

The standard deviation sample formula:

S.D = sqrt( Summation of |x-m|^2 / n-1)

Let start finding:

|x-m|^2

For 1st: |120-133|^2=169

For 2nd: |134-133|^2=1

For 3rd: |146-133|^2=169

For 4th: |127-133|^2=36

For 5th: |138-133|^2=25

For 6th: |133-133|^2=0

Summation of |x-m|^2 = 400

The standard deviation formula is :

S.D = sqrt( Summation of |x-m|^2 / n-1)

S.D= sqrt(400 / 5)

S.D=sqrt(80)

S.D= 8.94

Variance = (Summation of |x-m|^2 / n-1)

Variance= 400/5

Variance= 80

3 0
3 years ago
Read 2 more answers
One number is 14 more than another. the sum of two numbers is 20. find the numbers.
patriot [66]

The number is 6 because 14+6=20 and 6 is less than 14. Hope this helps.

4 0
3 years ago
Umbers to complete the problems below. 14. Marcy lives 1.15 miles away from her grandmother. What fraction represents the distan
joja [24]

Based on the information given, it should be noted that the fraction to represent the distance will be 1 3/20 miles.

<h3>How to convert decimal to fractions.</h3>

From the information given, it was stated that Marcy lives 1.15 miles away from her grandmother.

Therefore, the fraction that represents the distance between Marcy's house and her grandmother's will be:

= 1 + 15/100

= 1 + 3/20

= 1 3/20

Therefore, the fraction is 1 3/20.

Learn more about fractions on:

brainly.com/question/17220365

5 0
2 years ago
The angle of elevation of the top of a tower from a point 100m away is 45 degrees. What is the height of the tower to the neares
OLEGan [10]
<h3>Answer: 100 meters</h3>

===========================================

Explanation:

If you draw out the diagram, then you'll find that a 45-45-90 triangle forms. The nice thing about this type of triangle is that the two legs are always the same length. The horizontal leg is 100 meters, so the vertical leg must also be 100 meters.

Side note: this type of triangle is an isosceles right triangle.

---------

You could use the tangent rule to get the same thing

tan(angle) = opposite/adjacent

tan(45) = 100/x

1 = 100/x

1*x = 100

x = 100

In this case, the opposite leg is the vertical leg since it is furthest from the angle of elevation.

5 0
3 years ago
Read 2 more answers
M
AVprozaik [17]

Step-by-step explanation:

Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX

"K" is the constant of proportionality and must be determined from the initial information.

If Y = 2/3 when X=1/12means 2/3=1/12

K = 2/3÷1/12 = 8

Now that we know the value of K, we can use it to calculate the value of Y when X=1/2

Y = (8)(1/2) = 8/2=4

Y=4

8 0
2 years ago
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