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shtirl [24]
2 years ago
10

Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? Justify your

answer. (4 points) Part B: Write a function that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate? (3 points)

Mathematics
1 answer:
aev [14]2 years ago
7 0

Step-by-step explanation:

PART A

it wpuld be a correlation

PART B Write a function which best fits the data.

So, f(x)=5x+2

PART C

slope and y-intercept of the plot indicates that its going up 5 positive points

The change in Y over the change in X.

The number of units of outputs per number of workers.

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The speed at which cars travel on the highway has a normal distribution with a mean of 60 km/h and a standard deviation of 5 km/
oee [108]

The z-score of the speed value gives the measure of dispersion of the from

the mean observed speed.

The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

The given parameters are;

The mean of the speed of cars on the highway, \overline x = 60 km/h

The standard deviation of the cars on the highway, σ = 5 km/h

Required:

The probability that the speed of a car is between 63 km/h and 75 km/h

Solution;

The z-score for a speed of 63 km/h is given as follows;

Z=\dfrac{x-\bar x }{\sigma }

Which gives;

Z=\dfrac{63-60 }{5 } = 0.6

From the z-score table, we have;

P(x < 63) = 0.7257

The z-score for a speed of 75 km/h is given as follows;

Z=\dfrac{75-60 }{5 } = 3

Which gives, P(x < 75) = 0.9987

The probability that the speed of a car is between 63 km/h and 75 km/h is therefore;

P(63 < x < 75) = P(x < 75) - P(x < 63) = 0.9987 - 0.7257 = 0.273

The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

Learn more here:

brainly.com/question/17489087

7 0
2 years ago
The volume of a gas with a pressure of 1.2 atm increases from 1.0 L to 4.0 L. What is the final pressure of the gas, assuming co
salantis [7]

Answer:

(b) 0.30 atm

Step-by-step explanation:

Given data

Initial pressure= 1.2atm

Initial volume= 1.0L

Final volume= 4.0L

Final pressure= ???

Let us apply the gas formula to find the Final pressure

P1V1= P2V2

Substitute

1.2*1= x*4

Divide both sides by 4

1.2/4= x

x= 0.3atm

Hence the final pressure is 0.3 atm

5 0
2 years ago
How many seconds equal 3.6 hours?
MAXImum [283]
12960 seconds equals 3.6 hours.

since its 3.6 hours we need to calculate it so one minute = 60 seconds and 60 minutes = a hour so those are the basics to solve this. now u have add 1 minute of 60 minutes to equal just one hour which gets u 3 if u do it 3 times.
5 0
3 years ago
If a man take one and a half mins to paint a door how much doors can he paint in seven half hour
sashaice [31]

Answer:

300 doors.

Step-by-step explanation:

1.5 minutes for 1 door.

7.5 hours for 300 doors.

7.5 hours = 450 minutes.

\frac{450}{1.5}=300

7 0
3 years ago
417.80+350+150+5.25-(215.85-i)=555.82
motikmotik
583.08 is the answer
4 0
3 years ago
Read 2 more answers
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