Two trains are traveling at a constant rate. Find the rate of each train

Answer:

1. y-intercept = 4 ⇒ slope = [tex]\frac{1}{3}[/tex]

2. y-intercept = -2 ⇒ slope = [tex]-\frac{3}{5}[/tex]

3. y-intercept = 1 ⇒ slope = 4

4. y-intercept = 3 ⇒ slope = [tex]-\frac{3}{2}[/tex]

5. y-intercept = 4 ⇒ slope = 1

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

Let us solve the questions using the form above

1. y = [tex]\frac{1}{3}[/tex] x + 4

∵ m =  [tex]\frac{1}{3}[/tex] and b = 4

∴ y-intercept = 4 ⇒ slope =  [tex]\frac{1}{3}[/tex]

2. y = [tex]-\frac{3}{5}[/tex] x - 2

∵ m =  [tex]-\frac{3}{5}[/tex] and b = -2

∴ y-intercept = -2 ⇒ slope =  [tex]-\frac{3}{5}[/tex]

3. y = 4x + 1

∵ m = 4 and b = 1

∴ y-intercept = 1 ⇒ slope = 4

4. y = [tex]-\frac{3}{2}[/tex] x + 3

∵ m =  [tex]-\frac{3}{2}[/tex] and b = 3

∴ y-intercept = 3 ⇒ slope =  [tex]-\frac{3}{2}[/tex]

5. y = x + 4

∵ m = 1 and b = 4

∴ y-intercept = 4 ⇒ slope = 1

Answer:

69

Step-by-step explanation:

+#:2:$;$;$:*&#::jsgsvszgsvvsvs

Answer:

35 dollars

Step-by-step explanation:

I dont know if you need a percent or not

Answer:0.27855153

A

−

0.04642525

kilograms per dollar

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.

Answer:

[tex]1/x^5[/tex]

Step-by-step explanation:

[tex]x^-^y = 1/x^y[/tex]

Answer:

1/x^5

Step-by-step explanation:

When you have a negative exponent, you have to put 1 over that power without the negative sign in the exponent. You put 1 over x^5

Answer: 1/x^5

Answer:

Me too not trying to get the points but how are u suppose to solve this anyway

Step-by-step explanation:

Answer:

6 degrees Celsius

Step-by-step explanation:

It started at 2 degrees Celsius below zero. The next day, it dropped to 12 degrees Celsius below zero. The next day, it rose to 7 degrees below zero. The next day, it increased to 6 degrees ABOVE zero. -7+13=6

Answer:

31.4

Step-by-step explanation:

You subtract 80.00 from 48.60, and you get your answer 31.4

Answer:

128.6

Step-by-step explanation:

You have to do the inverse operation.

So you add 48.60 to each side of the equation. This cancels out the -48.60 which isolates the variable. And on the other side of the equation it leaves you with 128.6. Therefore d = 128.6

Answer:

76

Step-by-step explanation:

j and k are the same size and every triangle equals 180

64+64=128

180-128=52

L=52

l and m are the same

52+52=104

180-104= 76

n=76

Answer:

33

Step-by-step explanation:

Answer:

2 2/12 1 5/12

2-1

1 2/12 - 5/12

7/12 bags of apples left

Step-by-step explanation:

Answer:

58.6 + 17.8 + x = 180

Step-by-step explanation:

hope this helps

Answer:

144 grams

Step-by-step explanation:

Im assuming you want to mass of grapes, do total mass subtracted by the mass of the bowl

Answer:

414

Step-by-step explanation:

Answer:

(A) The probability that a bulb burns between 778 and 834 hours is 0.51118.

(B) The probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs  is 0.00079

Step-by-step explanation:

Let X denote the life time of light bulbs.

It is provided that X follows a normal distribution with mean of 800 hours and standard deviation of 40 hours.

(A)

Compute the probability that a bulb burns between 778 and 834 hours as follows:

[tex]P(778<X<834)=P(\frac{778-800}{40}<\frac{X-\mu}{\sigma}<\frac{834-800}{40})\\\\=P(-0.55<Z<0.85)\\\\=P(Z<0.85)-P(Z<-0.55)\\\\=0.80234-0.29116\\\\=0.51118[/tex]

Thus, the probability that a bulb burns between 778 and 834 hours is 0.51118.

(B)

Compute the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs as follows:

[tex]P(\bar X\geq 820)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}\geq \frac{820-800}{40/\sqrt{40}})\\\\=P(Z>3.16)\\\\=1-P(Z<3.16)\\\\=1-0.99921\\\\=0.00079[/tex]

Thus, the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs  is 0.00079

Using the normal distribution and the central limit theorem, it is found that there is a:

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

The probability is the p-value of Z when X = 834 subtracted by the p-value of Z when X = 778, hence:

X = 834:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{834 - 800}{40}[/tex]

[tex]Z = 0.85[/tex]

[tex]Z = 0.85[/tex] has a p-value of 0.8023.

X = 778:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{778 - 800}{40}[/tex]

[tex]Z = -0.55[/tex]

[tex]Z = -0.55[/tex] has a p-value of 0.2912.

0.8023 - 0.2912 = 0.5111

0.5111 = 51.11% probability that a bulb burns between 778 and 834 hours.

Item b:

Sample of 40, hence [tex]n = 40, s = \frac{40}{\sqrt{40}}[/tex].

The probability is 1 subtracted by the p-value of Z when X = 820, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{820 - 800}{\frac{40}{\sqrt{40}}}[/tex]

[tex]Z = 3.16[/tex]

[tex]Z = 3.16[/tex] has a p-value of 0.9992.

1 - 0.9992 = 0.0008

0.0008 = 0.08% probability that the average light bulb life is at least 820 hours.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Answer:

The triangle on the left for a is 79 degrees and the one to the right is 63 degrees

Step-by-step explanation:

A triangle is equal to 180 degrees and to find the missing side you subtract the two values that you have to get the missing one.

Answer:

1,2,5,10

Step-by-step explanation:

Greatest common factor is 10

Answer:

The third one

Step-by-step explanation:

use process of elimination to find the answer

Answer:

-2

Step-by-step explanation:

base on my stuck knowledge

Answer:

60 wpm

Step-by-step explanation:

900/15

Answer:

60

words is the answer.

Step-by-step explanation:

ok

Answer:

See below.

Step-by-step explanation:

Total weekly salary:

regular weekly salary + amount from working over 40 hours

In one full week of 40 hours of work, you earn a regular salary of $340.

For each hour you work over 40 hours, you earn $12.50 per hour.

Let x = number of hours you work over 40 hours.

The amount you make from these extra hours is 12.5x

Your total weekly salary is

340 + 12.5x

You want your total weekly salary to be more than $490.

340 + 12.5x > 490

Answer:

answer

Step-by-step explanation:

Answer: D) 32

Step-by-step explanation:

1. You have to add 5 on both side which you get x=32

2. x=32 which means 32 is the # for x

:)

Answer:

ehhhh???

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

So:a=3

b=(-2)

c=2

Substitute the numbers into each letters

so a is represented by 3,c by 2 and b -2

therefore giving us: 2

3+(-2)=9+(-2)=7

Answer:

98765432123459 that is te answer

Step-by-step explanation:

Answer: Jason likely MADE an error when working the equation in his notebook because ONLY THE Y-INTERCEPT MATCHES the slope and the y-intercept of the equation he wrote.

Step-by-step explanation: