In the sketch below, two parallel lines are cut by a transversal.

Answer:

a. Jean, because her commute is in the country.

Step-by-step explanation:

Z-score:

In a set 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]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whoever has the higher z-score will have the longer commute.

Mary:

Travels for 35 minutes. In big cities, average commutes are 40 minutes with a standard deviation of 15 minutes. This means that [tex]X = 35, \mu = 40, \sigma = 15[/tex]. So

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

[tex]Z = \frac{35 - 40}{15}[/tex]

[tex]Z = -0.33[/tex]

Jean:

Travels for 30 minutes. In rural areas, the average commute is 25 minutes with a standard deviation of 6 minutes. This means that [tex]X = 30, \mu = 25, \sigma = 6[/tex]. So

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

[tex]Z = \frac{30 - 25}{6}[/tex]

[tex]Z = 0.83[/tex]

Due to being in the Country, Jean's z-score is higher, so her commute is longer. The correct answer is given by option A.

The true statement is (a) Jean, because her commute is in the country.

For Mary, we have the following parameter:

x = 35 minutes from  the city

For Jean, we have the following parameter:

x = 30 minutes from  the county

The z-score is calculated as:

[tex]z = \frac{x - \bar x}{\sigma}[/tex]

For the city, we have:

[tex]\bar x = 40[/tex]

[tex]\sigma = 15[/tex]

So, the z-score of Mary is:

[tex]z = \frac{35 - 40}{15} = -0.33[/tex]

For the country, we have:

[tex]\bar x = 25[/tex]

[tex]\sigma = 6[/tex]

So, the z-score of Jean is:

[tex]z = \frac{30 - 25}{6} = 0.83[/tex]

0.83 is greater than -0.33

Hence, Jean has a longer commute

Read more about normal distribution at:

https://brainly.com/question/25638875

Answer:

6) x=5

7)x=6

8)x=10

9)x=12

Step-by-step explanation:

6) 3x-5=10. 7) 36=4x+12. 8) 3(x+2)=36

+5 +5. - 12. - 12. 3x + 6=36

3x = 15. 24 = 4x. - 6. -6

÷3. ÷3. ÷4. ÷4. 3x=30

x=5. 6 = x. x = 10

9) 7(2x-15)=63

14x - 105=63

+105. +105

14x = 168

÷14. ÷14

x=12

Answer:

14c, 7c+7c, 2c+2c+2c+2c+2c+2c+2c, 7c x 2, 2c x 7

Step-by-step explanation:

Answer:

4 friends will get watermelon

Step-by-step explanation:

1. 1 1/2 + 1 1/2 = 3

2. 1 1/2 + 1 1/2= 3

3. 3+3=6

4. Now count how many times we added 1 1/2.

5. If you counted correctly, you should've gotten 4.

Answer:

the 2

Step-by-step explanation:

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me

Answer:

11.71

Step-by-step explanation:

Answer:

This does not matter

Step-by-step explanation:

This does not matter and does not affect her finance charge. What does affect this charge is whether or not she pays what is owed on time. Meaning that she must pay everything that she owes between the end of the billing cycle and the day that the payment is due. In this scenario, it seems that she can only afford to pay half of what she actually owes, therefore regardless of when she pays this amount her finance charge will increase until she pays the entire debt.

Answer:

x= -7

Step-by-step explanation:

Answer:

LCM=4

4x3 /4 x 3/4 (x+21)=101/2x4

multiply through by the lcm

3x=20-21

3x/3=-1/3

the answer is-1/3

hope it helps

Answer:

The population of city A is 6,300,000.

Step-by-step explanation:

1,800,000 × 3[tex]\frac{1}{2}[/tex]

3[tex]\frac{1}{2}[/tex] is equal to 3.5

Plug in 1,800,000 × 3.5 into your calculator

= 6,300,000

Answer:

The product of 2 and 3/6 is 1

Another expression equal to 2 x 3/6 is 4 x 1/4

Step-by-step explanation:

To find the product of 2 and 3/6, you should first simply 3/6. Find the GCM of 3 and 6. The GCM should be 3, so you divide each side by 3. Then you multiply 1/2 and 2 which is 1. To find another product of 2 x 3/6, you could just another fraction for 1/2.

Hope this helps

The another expression that is equal to the product of 2 & 3/6 is : 3 x 9/27.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is the the product of 2 and 3/6.

We can write -

2 x 3/6 = 1

We can write another expression that is equal to the product of 2 & 3/6 as -

3 x 9/27

Therefore, the another expression that is equal to the product of 2 & 3/6 is : 3 x 9/27.

To solve more questions on equation modelling, visit the link-

brainly.com/question/29014197

#SPJ2

Answer:

y=2x-4

Step-by-step explanation:

Answer:

376.8 ft²

Step-by-step explanation:

that is the correct answer for you friend

Answer:

x=9

Step-by-step explanation:

Subtract 2 from both sides:

[tex]\sqrt{x} =3[/tex]

square both sides, so:

x=3^2 = 9

Answer:

the answer is 77

Step-by-step explanation:

g/7=11

to find g you do inverse operations

7x11=77

have a great day :D

Answer:

77

......................

Answer:

16π

Step-by-step explanation:

Area= 64π

or, πr²= 64π

or, r²= 64

r= 8

circumference= 2πr= 2×π×8 = 16π

Answer:

3

Step-by-step explanation:

12 / 4 = 3

Answer:

B. Vertical Angles

Answer:

Yes, because it crosses through (-2) at a rate of 1/3

Answer:

B

Step-by-step explanation:

The slope of the line GH is -3/2, so move point H to (1,-3), and move up 3 and left 3 to get translated point G.

Answer:

22

actual answer was 21.99

Answer:

222 cm²

Step-by-step explanation:

Each triangle's area is 6 cm², each side rectangle's area is 75 cm², and the bottom rectangle's area is 60 cm². Since there are two triangles, two side rectangle's, and one bottom rectangle, you would add all of their areas together:

6 + 6 + 75 + 75 + 60 leads you to the answer of 222 cm².

Answer:

45900 grams

Step-by-step explanation:

All you need to do is multiply 45.9 grams by 1000 for the total combined weight of every box combined to get.

45.9 x 1000 = 45900

Answer:

-3,8

Step-by-step explanation:

Answer:

x=9 and x=-1

Step-by-step explanation:

Using the factoring method, find the zeroes.

Answer:

what is the value of {n}to get product 35?

Step-by-step explanation:

(n is seven by the way!!)

Answer:

James is buying lemons for his grandmother, if 5 lemons cost $35, then how much does 1 cost? (n=7 if you are solving)

Step-by-step explanation:

Answer:

C (2x+1)

Step-by-step explanation:

I hope this helps!

9514 1404 393

Answer:

Step-by-step explanation:

a) The down payment is 9.5% of the price, so is ...

  down = 0.095×$214,000 = $20,330

__

b) The amount of the loan is the remaining value after the down payment is made:

  $214,000 -20,330 = $193,670

__

c) The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

payment on Principal P at interest rate r for t years

  A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35

__

d) The total cost of the house is ...

  down + (monthly payment)×(number of months)

  = $20,330 + $560.35×420

  = $255,677