Answer:
$5740
Step-by-step explanation:
get 2.5% of 5600
5600/x=100/2.5
(5600/x)*x=(100/2.5)*x
5600=40*x
5600/40=x
140=x
x=140 <----- 2.5% of 5600
5600 + 140 = $5740
Imagine that we know the following information for populations living in cities and rural areas. In big cities, average commutes are 40 minutes with a standard deviation of 15 minutes. In rural areas, the average commute is 25 minutes with a standard deviation of 6 minutes. Who has a longer commute, Mary from the city who travels for 35 minutes or Jean from the country who travels 30 minutes? a. Jean, because her commute is in the country. b. Mary, because city traffic moves slowly c. Mary's commute is 5 minutes longer d. Jean, because she travels 30 minutes on slow country roads
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
I need help please help
Answer:
The answer should be C
Step-by-step explanation:
I hope that it helps you!
from a class of 12 students, 4 will be chosen to do a job. how many different groups could be chosen?
Answer:
3
Step-by-step explanation:
12 / 4 = 3
plz need answers by today
Answer:
the 2
Step-by-step explanation:
is the marked equation right?
i cola in for me please
Answer:
Yes, because it crosses through (-2) at a rate of 1/3
NO LINKS PLEASE and make sure its correct
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
The population in City A is 3 1/2 times the population of City B. The population of City B is 1,800,000. What is the population of City A?
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
A house that you are interested in has the following facts listed online: Price = $214,000 APR = 1.15% Down Payment must be 9.5% Loan time frame is 35 years What is the amount of the loan you must take out? What monthly price do you have to pay on this house? What is the total price of this house (including interest and the down payment)?
9514 1404 393
Answer:
$20,330 down$193,670 loan$560.35 monthly$255,677 total priceStep-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
g ÷ 7 = 11 pleasse help
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
......................
ill give you brainliest
Answer:
376.8 ft²
Step-by-step explanation:
that is the correct answer for you friend
Write a question that represents the following equation. 5 · n = 35. plssss help hurry
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:
Evan adds 2/1/4 quarts of apple juice to some grape juice to make 5/1/2 quarts of fruit punch. Part A: write an equation to find the amount of grape juice g in the punch. Part B: How much grape juice is in the punch?
Answer:
3 1/4 qt.
Step-by-step explanation:
5 1/2 - 2 1/4 = 3 1/4
The formula for the circumference, C, of a circle with given radius, r, is C = 2πr. meters? what is the circumference of a circle with a radius of 3 1/2 meters? (use 22 as an estimate for it.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters
Answer:
22
actual answer was 21.99
the price of milk is increased by 8%.if the original price is R10,84, what is the new price?
Answer:
11.71
Step-by-step explanation:
What is the value of a?
What is the surface area of the triangular prism?
A)
175 cm
B)
196 cm?
C)
216 cm?
D)
222 cm?
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.
Sam is using the expression x4y What is the value of the expression when x/4y = 10 and y = 1/2 ?
Fred loves watermelon and buys 6 of them at the grocery store. If he gives friends 1 1/2 of a watermelon each, how many friends will get watermelon?
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.
Which is the solution to the inequality? 2 3/5 <b - 8/15
A. b<2 1/15
B. b>2 1/15
C. b<3 2/15
D. b>3 2/15
PLS NO CHEATING. I RLY NEED THIS. IF U DONT CHEAT I WILL MARK BRAINLIEST
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
Solve each equation please?
6) 3x - 5 = 10
7) 36 = 4x + 12
8) 3(x + 2) = 36
9) 7(2x - 15) = 63
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
The trinomial 2x2 + 13x + 6 has a linear factor of x + 6.
2x2 + 13x + 6 = (x + 6)(?)
What is the other linear factor?
A. x + 3
B. x + 6
C. 2x + 1
D. 2x + 3
Answer:
C (2x+1)
Step-by-step explanation:
I hope this helps!
a circle has an area of 64pi square inches which best represents the circumference of the circle A 16 inches B 32 inches C 50-inch D 25 inches
Answer:
16π
Step-by-step explanation:
Area= 64π
or, πr²= 64π
or, r²= 64
r= 8
circumference= 2πr= 2×π×8 = 16π
Which expression is equivalent to 7(2c)?
Answer:
14c, 7c+7c, 2c+2c+2c+2c+2c+2c+2c, 7c x 2, 2c x 7
Step-by-step explanation:
A candy store in the mall orders 1000 boxes a month each box of candy weighs 45.9 grams . What is the total weight in grams of the candy in the store
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
Pls help me I’ll give extra point ASAP plz
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.
Three functions are shown below.
f(x) = 3x2 - 4x - 3
g(x) = 5x + 2
h(x) = 3x2 + 4x-1
What is f(x) + g(x) + h(x)?
A. "6x2 - 5x - 2
OB. "6x2 - 13x - 4
O C. -6x2 - 14x - 6
OD. 9x2 - x + 2
f(x) = 3x2 - 4x - 3
g(x) = 5x + 2
h(x) = 3x2 + 4x-
Make sure to write No Solution exactly how it looks: No Solution
1. √x+2 = 5
answer: x =
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
help me plz branniest to whoever is right
Answer:
-3,8
Step-by-step explanation:
Answer:
x=9 and x=-1
Step-by-step explanation:
Using the factoring method, find the zeroes.
What is the product of 2 and 3/6 write another expression that is equal to the product of 2 3/6
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.
What is function?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
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Please answer correctly I am offering brainalist + 10 points for correct answer (:
Answer:
B. Vertical Angles