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solong [7]
3 years ago
12

The equation of the line of best fit for a scatter plot is yˆ=−14x+10 where x is age in years and y is average number of hours o

f sleep per night. The data was gathered from children aged 1 year to 9 years old. What is the predicted number of average hours of sleep for a 8 year old?
1. 6 Hours
2. 7 Hours
3. 8 Hours
4. 9 Hours
Mathematics
1 answer:
son4ous [18]3 years ago
5 0

Hey there!

y = -1/4x + 10

Looking for the amount of hours of sleep for an 8 year old, so x is 8.

Solve for y:

y = -1/4(8) + 10

y = -2 + 10

y = 8

The predicted number of average hours of sleep for an 8 year old is 3. 8 hours.

Hope this helps!

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Important Characteristics Quiz The probability of success in each of the 58 identical engine tests is p = 0.92. What is the mean
Maru [420]

Answer: The mean of this binomial distribution is 53.36.

Step-by-step explanation:

We know that , the mean of this binomial distribution is given by :_

\mu = np

, where n = sample size or the number of possible trials .

p = probability of getting success in each trial.

We are given that , the probability of success in each of the 58 identical engine tests is p = 0.92.

i.e. n= 58

p=0.92

Then, the mean of this binomial distribution = 58\times0.92=53.36

Hence , the mean of this binomial distribution is 53.36.

5 0
3 years ago
PLEASE HELP ME ITS DUE TODAY!!<br> PLS SHOW WORK OR EXPLAIN!!
maria [59]

Answer:

(-3, -0.5)

first put the points, then just draw the line that goes throw that row of dots.

5 0
3 years ago
Read 2 more answers
Ms. Alonzo ordered 5,000 markers for her store. Only
viva [34]

Answer:

500

Step-by-step explanation:

1/10 of 5000 is 500.

500 x 10 = 5000

8 0
3 years ago
The table below represents the distance of a car from its destination as a function of time: Time (hours) x Distance (miles) y 0
Trava [24]
X (Time in Hours)         y (Distance)
   0                                    900
   1                                     850
   2                                    800
   3                                    750

The y-intercept of this function would be the value of y when x = 0
Reading from the table, when x = 0, y = 900
Interpreting this value it means that initially, the distance of the car from its destination is 900 miles

------------------------------------------------------------------------------------------------------------
PART B

The rate of change is calculated by finding the vertical and horizontal distance between two points

The decrease is the same value every time; for every hour, there's a decrease of 50 miles.

So, the rate of change is 50 miles per hour
------------------------------------------------------------------------------------------------------------

PART C

The function is in the straight line equation form: y = -50x + 900
The value -50 represents the negative slope (the decrease in distance)
The value 900 represents the y-intercept
The car reaches its destination when y = 0, so the value of x would be

0 = -50x + 900
50x = 900
x = 900/50
x = 18 hours

The domain of the function is 0 ≤ x ≤ 18

 
4 0
4 years ago
Read 2 more answers
Solve and check x / 6 equals 12 / 9
Andreas93 [3]

x/6 = 12/9

x = 12/9 * 6

x = 8


check:

8/6 = 1.3333

12/9 = 1.3333

4 0
4 years ago
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