The results of a recent survey indicate that the average new car costs $23,000 with a standard deviation on $3,500. The prices of the car are normally distributed. a. If someone buys a car for $32,000, what proportion of cars cost an equal amount or more than this? b. If someone buys a car for $16,000, what proportion of cars cost an equal amount or more than this?
Answer:
(a) 0.0051
(b) 0.9773
Step-by-step explanation:
Let X = prices of the car.
It is provided that [tex]X\sim N(23,000, 3,500^{2})[/tex].
(a)
Compute the value of P (X ≥ 32000) as follows:
[tex]P(X\geq 32000)=P(\frac{X-\mu}{\sigma}>\frac{32000-23000}{3500})[/tex]
[tex]=P(Z>2.57)\\=1-P(Z<2.57)\\=1-0.99492\\=0.00508\\\approx 0.0051[/tex]
Thus, the proportion of cars cost an equal amount or more than $32,000 is 0.0051.
(b)
Compute the value of P (X ≥ 16000) as follows:
[tex]P(X\geq 16000)=P(\frac{X-\mu}{\sigma}>\frac{16000-23000}{3500})[/tex]
[tex]=P(Z>-2)\\=P(Z<2)\\=0.97725\\\approx 0.9773[/tex]
Thus, the proportion of cars cost an equal amount or more than $16,000 is 0.9773.
what is bigger 3.14 or 3.1 repeating
Answer:
3.14
Step-by-step explanation:
compare 3.4 to 3.111111111111111111...
4 is bigger than 1
3.14 is bigger than 3.1 repeating.
The number 3.1 repeating (or 3.1 with an infinite number of decimal places of 1) is equivalent to the mathematical concept of the number 3.1111..., where the digit 1 repeats indefinitely.
When comparing 3.14 and 3.1 repeating, we can consider the decimal places:
3.14 has a hundredth place digit of 4, which is greater than the repeating decimal of 3.1, where the hundredth place digit is 1.
Therefore, 3.14 is bigger than 3.1 repeating.
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sarah had 28 stickers and put x number of stickers on her binded. haylee had 40 stickers and put three times as many stickers on her locker as sarah put on her binder. how many stickers did sarah put on her binder if they had the same number of stickers left?
Answer:
Number of stickers Sarah had = 28
Number of stickers she put on her binder = x.
Number of stickers left with her = 28 - x
Number of stickers Haylee had = 40
Number of stickers she put on her locker = 3x
Number of stickers left with her = 40 - 3x
Both Sarah and Haylee had the same number of stickers left.
28 - x = 40 - 3x
=> 3x - x = 40 - 28
=> 2x = 12
=> x = = 6
Step-by-step explanation:
PO
Question 1
Maria took a taxicab from her home to the theater
downtown. The taxicab company charges a flat fee of $5.00
plus $0.25 per mile. Which equation represents C, the total
cost of her ride, in terms of m, the length of the trip in
miles?
Answer:
C=5+0.25m
Step-by-step explanation:
Please help! Explain step by step pls :)
(The question is on the image that i attached)
Answer:
3
Step-by-step explanation:
6(-8)/-12 -1
Multiply.
-48/-12=4
Divide.
4-1=3
Subtract.
Answer:
3
Step-by-step explanation:
6(-8)/-12 -1
Now, multiply
-48/-12=4
Now, divide.
4-1=3
and your last step should be subtracting.
anyone need help asap
Answer:
x = -3
Step-by-step explanation:
x + 2/x = 4/3 - 1 (collect like terms)
The rest of the steps are in the screenshot.
what is the answer to 8(4h+5)
Answer:
32h+40
Step-by-step explanation:
8*4h=32h
8*5=40
Lester started the day with $12 in his pocket he is saving for the new mop with the snazzy Pinstripes on Amazon Prime he works a job making $8 an hour the moped cost $268 write the equation that represents how many days letter needs to work to have $268
Answer:
32h (1 day and 8h )
Step-by-step explanation:
268-12=256
256:8= 32
32h
Answer:
8x+12= 268
Step-by-step explanation:
We know that Lester already has $12, so that would be: +12
Since he works for $8 an hour, x will represent each hour: 8x
*x will determine the number of hours, if you want days, then divide the amount of hours by 24.
−3 1/3÷9
I need help!!!
Answer:
- 10/27
Step-by-step explanation:
Answer:
-10/27
Step-by-step explanation:
-3 1/3 divided by 9 = -10/3 divided by 9/1= -10/27
I need help please.
Answer:
51 degrees
Step-by-step explanation:
18+33=51
whats the property for x ⋅ 4y = 4x ⋅ y
which number is a perfect square
7
25
66
27
Answer:
The answer is 27 your welcome
Step-by-step explanation:
Really need Help with this One..
Answer: 49.5
Step-by-step explanation:
All triangles equal 180 degrees
We know two of these degrees
73+57.5=130.5
180-130.5=49.5 degrees
what..................
Answer:ni
Step-by-step explanation:
five less than the qouicent of number of a number and 3 is -7
Sorry. Had to redo this with the correct answer.
Here it is...
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x = - 2/5 (fraction)
Decimal Form:
x = - 0.4 (decimal)
Charmaine cutaway 3.65 meters of rope. Before that, she had 9 meters of rope. How much rope does Charmaine have left?
Answer:
5.35
Step-by-step explanation:
9-3.65=5.35
Hayley and Maxwell are jogging on a track. Hayley jogs 3/4 mile in 1/6 hour. Maxwell jogs 2/3 mile in 2/15 hour. Who is faster?
Maxwell runs faster than Hayley
In order to determine who runs faster, the average speed has to be determined
Average speed is total distance travelled divided by total time travelled.
Average speed = Total distance / Total time
Hayley's average speed = [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{6}[/tex]
= [tex]\frac{3}{4}[/tex] x 6 = [tex]\frac{9}{2} = 4\frac{1}{2}[/tex] miles / hour
Maxwell's average speed = [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{2}{15}[/tex]
[tex]\frac{2}{3}[/tex] x [tex]\frac{15}{2}[/tex] = 5 miles / hour
Maxwell runs faster because he has a higher average speed when compared with Hayley
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The corner store sells apples at a rate of $1.25 per apple . if olivia has $10.00 dollars, how many apples can olivia buy
Answer:
8 Apples
Step-by-step explanation:
You have ten dollars, and a fee of 1.25 per apple to buy,
to find the total number of apples oliva can buy, you divide the total allowance by the cost per apple
in this case,
10.00/1.25
and you get a solution of 8 Apples.
Answer:
8 apples
Step-by-step explanation:
After a pizza party there are 4 2/3 pizzas left over. If the pizzas are divided so that party goers can take home 1/6 of a pizza, how many guests can take home pizza? *
1 point
8 guests
26 guests
28 guests
33 guests
Answer:
26 guests
Step-by-step explanation:
WILL GIVE BRAINLIEST
The image of the point (7, -2) under a reflection across the x axis is (-7,2) true or false
Answer:
no it is(7,2)
Step-by-step explanation:
A baby can crawl at a speed of 10 feet per minute. About how many feet per hour is this?
Answer: 600 feet per hour
Because there are 60 minutes in an hour and 10 times 60 is 600
2. Findf(g(x))andg( f(x)).
f(x) = 102; 9(1) = 1 + 3
Answer:
9=4
Step-by-step explanation:
9(1)= 1+3
9(1)=9
1+3=4
9:4
WILL MARK BRAINLIEST PLZ ANSWER FAST GUYS AND GIRLS I AM CRYING. Don't mind the second question. You can answer it if you want that will help me.
Answer:
1. 10d + 5n = 85
2. idk how to attach stuff
3. 17 nickels
4. 8.5 thats weird tho since its not possible to get 85 with using only dimes you would have to use 8 dimes and 1 nickel but its doesn't ask for that so 8.5 ig
Step-by-step explanation:
5n = 85
5*17 = 85
10d = 85
10*8.5 = 85
Janet bought same bars of choclate to share equally with her friends. she bought between 35 and 50 bars altogether. if she shares the bars of chocolate equally with 7 friends, she will have 7 bars left over. If she shares the bars equally with 6 friends she will have 5 bars left over. How many bars of chocolate did she buy?
a.47
b.45
c.46
d.48
For the conditions to be fulfilled number of chocolate bars Janet bought is 35.
What is an equation?An equation is a statement in form of numbers and variables that both sides are equal.
Janet bought the same bars of chocolate to share equally with her friends and it is between 36 and 50.
There are two possible cases,
Let the number of chocolates be 'N' and no. of chocolates each friend gets be 'A'.
(i) If she shares the bars of chocolate equally with 7 friends, she will have 7 bars left over,
∴ N = 7A + 7...(i).
(ii) If she shares the bars equally with 6 friends she will have 5 bars left over,
Let the number of chocolates be 'N' and no. of chocolates each friend gets be 'B'.
∴ N = 6B + 5...(ii)
Now, we have to equate these two equations,
7A + 7 = 6B + 5.
7A = 6B - 2.
A = (6B - 2)/7.
From here we have to find such integer value of B which also makes the value of A an integer and also when we put the values of either A or B in our equations it should lie between 35 and 50.
So,
A = (6B - 2)/7.
When B = 5 then A = 4. Or when B = 12 the A = 10.
But the B = 12 and A = 10 is inadmissible.
Now, we'll put the value of A or B in eqn (i) or (ii).
Which results in N = 35.
So, the number of chocolate bars she bought is 35.
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The area of a square is 77 square feet.
What is the approximate length of each
side of the square?
SIDE LENGTH=?FEET
PLEASE HELPPPP
100 Points
Answer:
8.8 cm , but not sure.....
Thank you ☺️
whats the value of x if x2=10
Answer:5
Step-by-step explanation:
2x=10
10÷2= 5
x=5
Answer:
X = 5
Step-by-step explanation:
2x means x plus itself. if x + x is 10, what number fits that description?
5!
2.5 = 10, so X = 5
What is the value of x?
Answer: x = 25
. . . . . . . . . . . . . .
write an equation in point-slope form of the line that passes through the given point and with the given slope m. (-6,2);m=7
Determine the value of y, if x is -2.
y= | x |– 9
Answer:
Answer:
y = -7
Step-by-step explanation:
b
It takes 4 workers 6 days to build a shed.
How many sheds could 2
of the workers make in 36
days, if all of the workers
work at the same rate?