Step-by-step explanation:
12×x-12×6=2×x-2×9
12x-72=2x-18
12x-2x= -18+72
10x = 54
x =54/10
x = (5)\4/10
Estimate 45.8 / 4.1 = ? (Must show work)
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
What is the area of this figure?
Answer:
Step-by-step explanation
Square Area :
4 x 4 = 16 yds²
Triangle area :
6 x 8 = 48 yds²
This would make the area of a square though so you would need to divide by two.
48/2=24 Yds²
Whole Figure
24 Yds² + 16 yds² = 40 Yds²
Scott has ½ of a cup of lemonade left. Chris has 1/3 of a cup of lemonade left. How much lemonade do they have altogether?
Answer:
5/6
Step-by-step explanation:
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 plate is considered a major plate if it covers an area of more than _____________ kilometres.
A. 200,000,000 km2
B. 40,000,000 km2
C. 2,000 km2
D. 20,000,000 km2
Answer:
i think is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Please answer correctly I am offering brainalist + 10 points for correct answer (:
Answer:
B. Vertical Angles
Use distributive property to write the expression in standard form 7 (4x - 5y - 2) Use the distributive property and collect like terms to create an equivalent expression 4x - 3 (x - 2y ) + (1/2) (6x - 8y)
resultado:
-2X+12Y
Step-by-step explanation:
28X-35Y-14
8X-6X+12Y+12X-16X
-2X+12Y
which expression is equivalent to -3x^2 +24x-43 ?
A.-3(x-4)^2-59
B.-3(x+4)^2+5
C.-3(x-4)^2+5
D.-3(x+4)^2-59
(x^2means power to the second )
Answer:
the answer is B
hope this is the answer you're looking for
Step-by-step explanation:
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
I WILL GIVE BRAINLIEST!! PLEASE HURRY
Use the excerpt below taken from the Preamble of the United States Constitution to answer the following question:
"We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America."
—Public Domain
What aspect of Enlightenment influence on the early United States government does this excerpt of the U.S. Constitution illustrate? (5 points)
It gives power to the people rather than God, the Church, or the king.
It rejects the concept of social class in the American system.
It promotes the popular concept of the freedom of speech.
It encourages the development of the separation of church and state.
Answer:
B. It rejects the concept of social class in the American system.
Explanation:
The Enlightenment of the American Colonies was a period in time where the people were encouraged to become their own nation. This period was represented by many speeches and pieces of writing that boasted freedom of speech, equality, freedom of the press, and religious tolerance.
This specific piece of writing focuses on the aspect of all people in the nation of America having protected freedoms and rights to become their own people.
A frustum of height 4 is part of a larger pyramid of height 6. What is the ratio of the volume of the frustum to the volume of the pyramid?
Answer:
26 : 27Step-by-step explanation:
The volume of the pyramid with height of 6:
V = 1/3bh = 1/3b*6 = 2b,b is area of the baseThe volume of the smaller pyramid is:
V₁ = 1/3*b₁h₁We know:
h₁ = 6 - 4 = 2h₁/h = 2/6 = 1/3The base sides have same ratio as similar triangles.
b₁ = (1/3)²b= b/9The volume of smaller pyramid:
V₁ = 1/3*2*b/9 = 2b/27The difference of the volumes is the volume of the frustum:
V₂ = V - V₁V₂ = 2b - 2b/27 = 52b/27The ratio of V₂ to V is:
52b/27 ÷ 2b = 26/27If you are saving 60% which is $54, what will the sale price of the Printer be?
A $60
B $54
C $36
D $90
Answer:
the answer should be D.$90
Step-by-step explanation:
54 x .6 = 90
HELP MY FRIENDS PLEASE I BEG OF THEE
Answer:
29.09
Step-by-step explanation:
Answer:
it is 29 or 29.09
Step-by-step explanation:
Choose the answer express it into percentage:
-1/4÷100%=?
(a). 50%
(b). 25%
(c). 5%
Help plz I’ll mark brainliest
Answer: the answer is 105
Step-by-step explanation:
Answer:
wait but whats the question??
Step-by-step explanation:
Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =
Answer:
dont know maybe someone else can help u
:€
Answer:
lesser x=1/5
greater x =4
Step-by-step explanation:
Please refer to the attachment
Answer this correctly and explain your answer and I’ll give u brainalist + 10 points
Answer:
D: 43
Step-by-step explanation:
No need
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
One year a surf board maker had $3.5 million in sales. In later year,
sales y (in millions) increased by about 15% each year. Which function
models the amount of money the maker will have after t years?
Answer:
I need help with this one
Step-by-step explanation:
96 pencils come in a box. If 4 teachers share 3 boxes equally, how many pencils does each teacher receive-
Answer:
96 X 3 = 288
288/4 is 72
72 is the answer
Step-by-step explanation:
hope you have a great day
Find the axis of symmetry of the parabola defined by the given quadratic function.
2) f(x) = 8 - (x + 2)2
A) x = -8
B) X = 2
C) X = 8
D) x = -2
How much force is needed to stop a 1,400 kg truck pulling up to a stop light if
the truck took 4 seconds to stop and was moving at 36 m/s? If you know the answer please include the equation, it would really help me out, thank you! This is not math is is science btw.
Hi there!
[tex]\large\boxed{-12,600 N}[/tex]
Recall that the equation to calculate force is:
F = m · a where m = mass, a = acceleration, and F = net force.
Since we are given the velocity, and time needed to stop, we can calculate the acceleration using the following kinematic equation:
vf = vi + at
The initial velocity is 36 m/s and the final velocity is 0 m/s, therefore:
0 = 36 + at
Move 36 to the other side and plug in the given time:
-36 = 4a
Divide both sides by -4 to find a:
-36/4 = a
a = -9 m/s².
Since the acceleration is -9 m/s² and the mass is 1400 kg, use the above force equation to solve:
F = -9 × 1400 = -12600 N. (negative refers to the force working in the opposite direction of the car's travel. If simply needing the magnitude of the force, it would be 12600 N)
NEED HELP ASAP!!!!!!!!!
Answer:
i dont get it.....................................................................
Step-by-step explanation:
what is the equation of the graph line when written in standard form
Answer:
y=2x-4
Step-by-step explanation:
The total cost of an electronic photo
display comes to $100. The price
y plus the tax of $6 equals $100.
Write an equation to find the price
of the electronic photo display.
Answer:
P = y * 1.06
Step-by-step explanation:
Let y be the net price (no tax), t the tax (as a factor) and P the total price (tax included),
P = y * t
From the info provided, we know that for each 100 USD, 6 USD is tax, so 6%,
TIP: By multiplying by 1.06 we add the 6% to the net price (6% is 0.06)
P = y * 1.06
Sheena has a $4,000 balance on her credit card statement. This month, she can afford to pay $2,000 of her balance. When should she make her payment (earlier or later in her billing cycle) in order to keep her finance charge low?
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.
1, write a ratio in all three forms, to compare the days without games to the days in a year?
Answer:
1. 363 to 2
2. 363:2
3. 363/2
Step-by-step explanation:
1. First of all, there are 365 days in a year.
* Note that the question says there are only 2 days where sports aren't played.
2. As said in the question there are 3 ways to write a ratio: a to b; a : b; a/b. Now, let's think that what are a and b in this scenario? a= says without games= 2; and b= days in a year= 365.
3. Now fill in the variables with the numbers for each form of a ratio.
a. 363 to 2
b. 363:2
c. 363/2
explain the answer to 481.5÷45
Answer:
10.7
Step-by-step explanation:
10.7
- 45
31
-00
315
-315
00
What is the answer please helppppp
Answer:
7
Step-by-step explanation: