Geometry- what is O? show work/explain please.

mafiozo [28]

Train one is going 75 m/s, train two is going 60 m/s, and train three is going 65 m/s.

Explanation:

For number one you could use the slope formula y2-y1/x2-x1, or you could simply just view it from the table that every second that’s passes the distance goes up another 75 meters. This means it would be 75 meters per second.

For the second one it’s a positive correlation that’s related meaning at every whole second (1,2,3...) the line will pass through it, so all you have to do is look at the left and see how much it’s going up by because we know it’s going up by the same amount each time.

3 0

3 years ago

Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal place

Katyanochek1 [597]

Answer:

a. 0.2898

b. 0.0218

c. 0.1210

d. 0.1515

e. This is because the population is normally distributed.

Step-by-step explanation:

Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal places

We are using the z score formula when random samples

This is given as:

z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

a.If 100 SAT scores are randomly selected, find the probability that they have a mean less than 1500.

For x = 1500, n = 100

z = 1500 - 1518/325/√100

z = -18/325/10

z = -18/32.5

z = -0.55385

Probability value from Z-Table:

P(x<1500) = 0.28984

Approximately = 0.2898

b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600

For x = 1600, n = 64

= z = 1600 - 1518/325/√64.

z= 1600 - 1518 /325/8

z = 2.01846

Probability value from Z-Table:

P(x<1600) = 0.97823

P(x>1600) = 1 - P(x<1600) = 0.021772

Approximately = 0.0218

c. If 25 SAT scores are randomly selected, find the probability that they have a mean between 1550 and 1575

For x = 1550, n = 25

z = 1550 - 1518/325/√25

z = 1550 - 1518/325/5

z = 1550 - 1518/65

= 0.49231

Probability value from Z-Table:

P(x = 1550) = 0.68875

For x = 1575 , n = 25

z = 1575 - 1518/325/√25

z = 1575 - 1518/325/5

z = 1575 - 1518/65

z = 0.87692

Probability value from Z-Table:

P(x=1575) = 0.80974

The probability that they have a mean between 1550 and 1575

P(x = 1575) - P(x = 1550)

= 0.80974 - 0.68875

= 0.12099

Approximately = 0.1210

d. If 16 SAT scores are randomly selected, find the probability that they have a mean between 1440 and 1480

For x = 1440, n = 16

z = 1440 - 1518/325/√16

= -0.96

Probability value from Z-Table:

P(x = 1440) = 0.16853

For x = 1480, n = 16

z = 1480 - 1518/325/√16

=-0.46769

Probability value from Z-Table:

P(x = 1480) = 0.32

The probability that they have a mean between 1440 and 1480

P(x = 1480) - P(x = 1440)

= 0.32 - 0.16853

= 0.15147

Approximately = 0.1515

e. In part c and part d, why can the central limit theorem be used even though the sample size does not exceed 30?

The central theorem can be used even though the sample size does not exceed 30 because the population is normally distributed.

6 0

3 years ago

Solve . -2 (11 - 4j) = 14<br> (Solve for J)

Tpy6a [65]

Answer:

4.5

Step-by-step explanation:

-22 +8j = 14

8j = 14 + 22

8j = 36

j = 4.5

7 0

3 years ago

Is there any option to to 1 not be equal to 1?

r-ruslan [8.4K]

No. 1 is is always equal to to 1 .

4 0

3 years ago

What is the constant rate of change shown in the graph?

AnnyKZ [126]

Answer:

10

Step-by-step explanation:

For every lawn mowed, the amount earned increases by 10 dollars

8 0

3 years ago