What is the answer to y=1/3x-1

If students’ scores were normally distributed and the mean was 200 with a standard deviation of 40, then what is the probability

Sonja [21]

Answer:

84%

Step-by-step explanation:

The empirical rule tells you that 68% of the standard normal distribution is within 1 standard deviation of the mean. The distribution is symmetrical, so the amount in the lower tail is (1 -68%)/2 = 16%.

Since the number you're interested in, 240, is one standard deviation above the mean (200 +40), the percentage of interest is the sum of the area of the central part of the distribution along with the lower tail:

68% + 16% = 84%.

4 0

3 years ago

Two cars leave towns 360 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hou

mixer [17]

Let x = speed of the first car

the second car is 12 km slower so the seconds car speed is x-12

they each drove 2 hours so 1st car = 2x
2nd car = 2(x-12)

they drove 360 km
so you have 2x + 2(x-12) = 360
solve for x

2x+2(x-12) = 360

2x + 2x-24 = 360

4x-24 = 360

4x = 384
x = 384/4
x = 96

1st car drove at 96 km per hour

slower car drove at 96-12 = 84 km per hour

5 0

3 years ago

Rita get paid $16 per hour for the first 8 hour she works each day.She earned 1and 1/2 times her hourly pay rate for the first t

djyliett [7]

Answer:

Rita's pay for Monday is $158.

Step-by-step explanation:

Rita's hourly pay for an 8-hour shift she works everyday is, $16.

If she works overtime she gets paid 1.5 times her hourly pay for every extra hour.

That is, if she works (8 + x) hours a day then the pay for the x hour is, 1.5x.

Rita's working hours on Monday is:

Started from 8:15 AM to 12:45 PM ⇒ 4 hours 30 minutes.

45 minutes lunch break ⇒ 12:45 PM + 45 minutes = 1:30 PM
Worked from 1:30 PM to 6:15 PM ⇒ 4 hours 45 minutes

It is provided that Rita does not get paid for lunch hour.

Rita's pay for Monday is computed as follows:

= (8:15 AM - 12:45 PM) + (1:30 PM - 6:15 PM)

= (4 hours 30 minutes) + (4 hours 30 minutes)

= (4 + 4) hours + (30 + 45) minutes

= (8 × 16) + (75 minutes × 16 × 1.5)

= 128 + (1.25 hours × 24)

= 128 + 30

= 158

Thus, Rita's pay for Monday is $158.

3 0

3 years ago

What is the best next step in the construction of the perpendicular bisector AB?

qaws [65]

“A” is the answer i believe !

hope this helps

3 0

3 years ago

6c-8-2c=-16+c what’s the value of c

Artemon [7]

Answer:

The correct answer is c = -8/3.

Step-by-step explanation:

The first step in solving this problem would be to simplify by combining like terms on the left side of the equation.

6c - 8 - 2c = -16 + c

4c - 8 = -16 + c

Then, we can subtract c from both sides of the equation to get rid of the positive c on the right side of the equation.

4c - c - 8 = -16 + c - c

3c - 8 = -16

Next, we can add 8 to both sides of the equation.

3c - 8 + 8 = -16 + 8

3c = - 8

Then, we can divide both sides of the equation by 3.

c = -8/3

Hope this helps!

7 0

3 years ago