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erik [133]
2 years ago
9

Yvette exercises 14 days out of 30 in one month. What is the ratio of the number of days she exercises to the number of days in

the month? Simplify the ratio.
Mathematics
2 answers:
Anestetic [448]2 years ago
3 0

Answer:

7 to 15, 7:15, 7/15

Step-by-step explanation:

Ratios can be written as:

a to b

a:b

a/b

We want to find the ratio of exercise days to days in the month. She exercises 14 days out of 30 days in the month. Therefore,

a= 14

b= 30

14 to 30

14:30

14/30

The ratios can be simplified. Both numbers can be evenly divided by 2.

(14/2) to (30/2)

7 to 15

(14/2) : (30/2)

7:15

(14/2) / (30/2)

7/15

Inessa [10]2 years ago
3 0

Answer:

divide both numbers by 14.. the ans is 1: 2

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A welder produces 7 welded assemblies during the first day on a new job, and the seventh assembly takes 45 minutes (unit time).
likoan [24]

Answer:

(a). 72.9%.

(b). 13.6 hr.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to assist us in solving this question/problem;

=> "A welder produces 7 welded assemblies during the first day on a new job, and the seventh assembly takes 45 minutes (unit time). "

=> The worker produces 10 welded assemblies on the second day, and the 10th assembly on the second day takes 30 minutes"

So, we will be making use of the Crawford learning curve model.

T(7) + 10 = T (17) = 30 min.

T(7) = T1(7)^b = 45.

T(17 ) = T1(17)^b = 30.

(T1) = 45/7^b = 30/17^b.

45/30 = 7^b/17^b = (7/17)^b.

1.5 = (0.41177)^b.

ln 1.5 = b ln 0.41177.

0.40547 = -0.8873 b.

b = - 0.45696.

=> 2^ -0.45696 = 0.7285.

= 72.9%.

(b). T1= 45/7^ - 045696 = 109.5 hr.

V(TT)(17) = 109.5 {(17.51^ - 0.45696 – 0.51^ - 0.45696) / (1 - 0.45696)} .

V(TT) (17) = 109.5 {(4.7317 - 0.6863) / 0.54304} .

= 815.7 min .

= 13.595 hr.

8 0
2 years ago
80 percent of 90 is the same as 40 percent of what number?
Nadya [2.5K]

    80% of 90 may be found by multiply 90 by 0.8. Once you have that number, you can use it to set up a proportion with 2/5 (the simplified form of 40/100). Thus, you will write out 72/x = 2/5, since x is the number that you're solving for. Multiply numerators and denominators of opposite fractions to get the equation 72(5) = 2x. Finally, simplify 360 = 2x by dividing both sides by 2 to isolate the variable. You should have your answer by now.

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2 years ago
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Marta_Voda [28]

Answer:

The y-intercept is 3000. The slope is -275. Therefore, your equation in slope intercept form is y = -275x +3000.

Step-by-step explanation:

Y intercept is found where x = 0 or on the y axis, so the only place on this graph where x = 0 and there is a number on the y axis is at (0, 3000), making 3000 your y intercept. The slope is figured from two points, and taking y2-y1/x2-x1. This would give you 3000-2450/2-0 which is -550/2 which is -275. That's your slope. Slope intercept form is y = mx+b, where m is the slope and b is the y intercept. Just plug in, and you get y = -275x+3000

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Answer:

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Step-by-step explanation:

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Frank Fitness found a correlation coefficient of -0.74 between hours of strenuous exercise each week and a standard measure of b
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Answer:

b. strong; negative

Step-by-step explanation:

When a correlation has a value greater than 0.74 or lesser than -0.70, it is classified as a strong correlation.

A negative value for a correlation means a negative (downhill) linear correlation.

Therefore, since the correlation coefficient found by Frank Fitness is -0.74, there is a strong and negative relationship between hours of strenuous exercise and body mass.

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