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3 years ago

Which of the following has a slope of –2 and a y-intercept of 4?

1 answer:

6 0

The coefficient of x is the value for slope in y-intercept form, and the number that we add or subtract is our y-intercept. So in this case, we want to look for a "-2" in front of x and a +4 in the equation.
Answer choice A fulfills those conditions. (I am also assuming that answer choice A should have had an x in it, but you accidentally forgot to type it.)

Please rate & heart answers you find helpful! :)

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Every floor of a 20 storey building is 5m in high. If a lift moves 2m every second, how long will it take to move from 3rd floor

kramer

Answer:

30 seconds

Step-by-step explanation:

→ Work out how many floors it's going to travel

15 - 3 = 12 floors

→ Work out how many meters 12 floors is

12 × 5 = 60 meters

→ Work out how long that will take

60 ÷ 2 = 30 seconds

3 0

3 years ago

In Grafton, a rural area in Vermont, the distance (in meters) between telephone poles has a uniform distribution between 40 and

coldgirl [10]

Answer:

a) 60% probability that the distance is environment friendly.

b) The mean of the distances between the telephone poles is 52.5 meters.

c) The standard deviation of the distance between the telephone poles is 7.22 meters.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 40 and 65 meters.

This means that $a = 40, b = 65$

a) Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?

This is $P(X > 50)$

We have that

$P(X \leq 50) + P(X > 50) = 1$

$P(X > 50) = 1 - P(X \leq 50)$

$P(X \leq 50) = \frac{50 - 40}{65 - 40} = 0.4$

$P(X > 50) = 1 - P(X \leq 50) = 1 - 0.4 = 0.6$

60% probability that the distance is environment friendly.

b) Find the mean of the distances between the telephone poles

The mean of the uniform distribution is

$M = \frac{a + b}{2}$

$M = \frac{a + b}{2} = \frac{40 + 65}{2} = 52.5$

c) Find the standard deviation of the distance between the telephone poles.

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

$S = \sqrt{\frac{(65-40)^{2}}{12}} = 7.22$

5 0

3 years ago

A clown needed 275 balloons for a party he was going to, but the balloons only came in packs of 2.How many packs of balloons doe

atroni [7]

For this case what you need to know is that each package contains 2 balloons.
Therefore, you can solve the problem by making the following rule of three:
1 package ---> 2 balloons
x ---------------> 275 balloons
Clearing x we have:
x = (275/2) * (1)
x = 137.5
Nearest whole number:
x = 138
Answer:
I need to buy 138 packs of balloons

8 0

4 years ago

if you have drums that hold 60 gallons and you need to ship 5,300 liters of liquid how many drums will you need

Naddika [18.5K]

$\frac{5300}{60} =$ slightly over 88, so you will need 89 drums.

6 0

3 years ago

Estimate each product or quotient: PLEASE HELP through 11,13,15 and explain how you got your answer

Ostrovityanka [42]

11. 8.73 x 6.01....estimation : 9 x 6 = 54
13. 197.4 x 2.85...estimation : 197 x 3 = 591
15. 479.2 x 3.2...estimation : 479 x 3 = 1437

all I did was round the numbers to the nearest whole number, then just multiplied

6 0

3 years ago