Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively. Suppose we select one of these cars at random. Let X= the sale price (in thousands of dollars) for the selected car. Find P(X>25), left parenthesis, X, is greater than, 25, right parenthesis. You may round your answer to two decimal places.
Answer:
P(X > 25) = 0.69
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.
This means that [tex]\mu = 26, \sigma = 2[/tex]
Find P(X>25)
This is 1 subtracted by the pvalue of Z when X = 25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 26}{2}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a pvalue of 0.31
1 - 0.31 = 0.69.
So
P(X > 25) = 0.69
Answer:
Step-by-step explanation:
7.4 as a mixed fraction
7.4 in fix fraction will look like this:
[tex]7 \frac{2}{5} [/tex]
Simplify.
(-216) ^-1/4
Answer:14 or 0.25
Step-by-step explanation:
It’s basically already written there but decimal form is 0.25
Let's say Jose deposited $2,700 into a CD account with an Annual Percentage Rate
(APR) of 4%, compounded annually, and he must leave it in the account for at least 5
years.
Answer:
$3283.2
Step-by-step explanation:
Given data
Principal= $2700
Rate= 4%
Time= 5 years
Required
the final Amount A
The compound interest formula is
A=P(1+r)^t
Substitute
A=2700(1+0.04)^5
A=2700(1.04)^5
A=2700*1.216
A=$3283.2
Hence the balance in the account after 5 years is $3283.2
HELPPPPPPP PLEASEEEE I AM SO DESPERATE
Answer:
Select A, C, D, and F
Step-by-step explanation:
B is not multiplication
C is correct
D is shorter form, correct
F is correct
Plz mark as brainliest if correct! Have a nice day!!!
add the complex numbers: (4 + 8j) + (-2 - j)
Answer:
7j+2 or 2+7j
Step-by-step explanation:
(4+8j)+(−2−j)
Subtract 2 from 4 to get 2.
2+8j−j
Combine 8j and −j to get 7j.
2+7j
What is the area of the triangle below? 00 17 O A. 136 sq. units O B. 68 sq. units O C. 25 sq. units O D. 50 sq. units
Answer:
B) 68 units^2
Step-by-step explanation:
8 x 17 x 0.5 = 68 units^2
117
x
x + 3
Find the value of x.
Answer:
114 I believe........
..
Answer:
what?
Step-by-step explanation:
i do not understand this please help me
Answer: Plane AEF
Step-by-step explanation: Parallel means equal or same as. If you follow the letters BCD you can see that it sorta makes a triangle shape. So if you follow the answer choices you could see that AEF is the only one that does what BCD does if that makes sense :)
9x + 18 - 5x = 2 + 4x
Answer:
There are no solutions
Step-by-step explanation:
9x+18−5x=2+4x
Step 1: Simplify both sides of the equation.
9x+18−5x=2+4x
9x+18+−5x=2+4x
(9x+−5x)+(18)=4x+2(Combine Like Terms)
4x+18=4x+2
4x+18=4x+2
Step 2: Subtract 4x from both sides.
4x+18−4x=4x+2−4x
18=2
Step 3: Subtract 18 from both sides.
18−18=2−18
0=−16
Answer:
There aren't any values of x that would make the equation true.
NO SOLUTION
Hope this helped <3
nesecito ayuda para hacer el ejercico es para hoy!!!!! Un número se multiplica por 37 y al sumar los productos parciales resulta 7890. ¿Cuál es la suma de cifras del número
What is the value of n when n = 2 ?
Answer:
2
Step-by-step explanation:
Is there an expression you need to solve?
n = 2 so the value would be 2
Nathaniel is going to invest $22,000 and leave it in an account for 20 years.
Assuming the interest is compounded continuously, what interest rate, to the nearest
tenth of a percent, would be required in order for Nathaniel to end up with $33,000?
Answer:2.0%
Step-by-step explanation:
The interest rate required to get a total amount of $33,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 20 years is 2.048% per year.
What is the interest rate?r = n[(A/P)1/nt - 1]
r = 1 × [(33,000.00/22,000.00)1/(1)(20) - 1]
r = 0.0204802
Then convert r to R as a percentage
R = r * 100
R = 0.0204802 * 100
R = 2.048%/year
The interest rate required to get a total amount of $33,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 20 years is 2.048% per year.
The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR (APR).To learn more about compound interest refer to:
https://brainly.com/question/24274034
#SPJ2
13x² -7x -8 how to solve this
Answer:
132x-8
Step-by-step explanation:
I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.
It's a simplification I don't know if you needed that.
If AC = x + 6, and AB = 15 solve for x.
Each fully colored ten block represents 1 whole the number represent above will be divided into 11 equal part how many squares need to be colored
Given:
Some boxes are fully colored.
Each fully colored ten block represents 1 whole.
The number of colored boxes will be divided into 11 equal part.
To find:
The number of squares need to be colored on each of the 10 blocks.
Step-by-step explanation:
From the given figure, it is clear that,
Number of colored box = 55
The number of colored box will be divided into 11.
[tex]\dfrac{55}{11}=5[/tex]
Therefore, 5 squares need to be colored on each of the 10 blocks.
HELPPPPPPPPP PLEASEEEEEE
I WILLL MARK YOU BRILL
Complete the sentence
Answer: b, d
Step-by-step explanation:
Corresponding angles are formed when two parallel straight lines are cut by a transversal
[tex]\angle b=62^{\circ}[/tex]
In the figure, [tex]\angle d\ \text{and}\ 62^{\circ}[/tex] are alternate angle
[tex]\therefore \angle d=62^{\circ}[/tex]
Hey! Do you mind helping me?
Answer:
20 - x^2 + y = 28
y+9x > 28
60 / y > 28
Step-by-step explanation:
1a)Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes
Answer
17 1/7
1b)How much time does it take him to complete his morning walk?
9514 1404 393
Answer:
17 minutes 8.6 seconds (17 1/7 min)2 hours 51 minutes 26 seconds (2 h 51 3/7 min)Step-by-step explanation:
The relationship between time, speed, and distance is ...
time = distance/speed
__
a) For 1 km, the time in hours is ...
time = (1 km)/(3.5 km/h) = 1/3.5 h = 2/7 h
In minutes, that is ...
(60 min/h)(2/7 h) = 120/7 min = 17 1/7 min . . . . time for 1 km
__
b) The time for 10 km is 10 times the time for 1 km, so will be ...
(10)(2/7 h) = 20/7 h = 2 6/7 h
In hours and minutes, that is 2 hours and (6/7)(60 min) = 360/7 min = 51 3/7 min.
The time for 10 km is 2 hours 51 3/7 minutes.
There are 6 cabbages and 8 carrots in a bag. How many carrots need to be added to make the ratio of
cabbages to carrots 1:3?
Answer:
10 carrots
Step-by-step explanation:
So we have 6:8 which is 3:4, meaning that something needs to be changed
Solve for x assuming that we have 6 cabbages
1/3=6/x
x=18
Now we have 6:18, which is 1:3 simplified
There are already 8 carrots so subtract 8
18-8=10
When solving the system of equations 3x−3y=1 and −2x+4y=2 algebraically, a good first step is to:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
B. Multiply 3x−3y=1 by 3, and multiply −2x+4y=2 by −2.
C. Rewrite both equations in slope-intercept form.
D. Add the equations together.
Answer:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
Step-by-step explanation:
Given
[tex]3x - 3y = 1[/tex]
[tex]-2x+ 4y = 2[/tex]
Required
A good first step
A good first step is to eliminate x and this is done as follows:
Multiply [tex]3x - 3y = 1[/tex] by 2 (gotten from coefficient of x in the second equation)
Multiply [tex]-2x+ 4y = 2[/tex] by 3 (gotten from coefficient of x in the first equation)
This gives:
[tex]6x - 6y = 2[/tex]
[tex]-6x + 12y = 6[/tex]
Add both equations
[tex]6x - 6x - 6y + 12y = 2 + 6[/tex]
[tex]6y = 8[/tex]
[tex]y = \frac{4}{3}[/tex]
Hence (a), is true
Maria has a recipe for pumpkin bread. She uses 3 ½ cups of flour to make 2 loaves of pumpkin bread. Alex will follow the same recipe. He will make b loaves of pumpkin bread using f cups of flour. Write an equation that represents the relationship between b and f.
Answer:
b + 1.75f
Step-by-step explanation:
1.75 cups are used for every loaf of pumpkin bread.
Answer:
f(4/7)=b
Step-by-step explanation:
3+1/2=7/2
(7/2)x=2
x=4/7
the constant of the equation is 4/7
so take f and b and put f in place for 7/2 cups and b for 2 loaves of bread.
f(4/7)=b
Hope that helps :)
If 3n + 7 = 25, then find the value of the expression 8n - 3]
In ∆ DEF and ∆ XYZ, DE = XY, angle E = angle Y and EF = YZ. Name the
test of congruency by which both the triangles are congruent.
Answer:
n=6,
SAS,
63
Step-by-step explanation:
3n+7=25
3n=25-7
3n=18
n=18/3
n=6
_______________________________
ΔDEF is congruent to ΔXYZ
DE=XY(side)
<E=<Y (angle)
EF=YZ (side)
by SAS congruence criteria ΔDEF=ΔXYZ
_________________________
(Linear pair)
180°-117°
=63
Answer=63
Question 9 of 10
What is the solution to this equation?
4(x - 8) + 10 = -10
A. X = 2
B. x = 5
C. X = 4
D. X = 3
Answer:
D.
Step-by-step explanation:
we are working on solving system of equations by substitution. can you please explain how to get the answer for
5x+y=2
x+y=10
Answer:
try symbolab calculator it will give you a step by step explanation
Answer:
x= -2
y= 12
Step-by-step explanation:
5x + y = 2..................eqn 1
x + y = 10 ..................eqn 2
from eqn 1
5x + y = 2, u substitute by making 'y' the subject
y = 2 - 5x .................eqn 3
put eqn 3 into eqn 2
x + y = 10
x + 2 - 5x = 10
x - 5x = 10 - 2
-4x = 8
x = 8 / -4
x = -2
put x = -2 into eqn 1
5x + y = 2
5(-2) + y = 2
-10 + y = 2
y = 2 + 10
y = 12
A + B - _____ = B
PLEASE HELP
Answer:
A
Step-by-step explanation:
Because if you subtract A from A it gets rid of A leaving only B left.
A garden is shaped like a rectangle whose perimeter is 260 ft. The length is 9 times as long as the width. Find the length and the width
Answer:
The length is 117 ft and the width is 13 ft.
Step-by-step explanation:
From the question itself, we can write down the following equations...
(Let "P" be the perimeter of the rectangle, Let "L" be the length, and let "W" be the width, then...)
L = 9W
and
P = 2L + 2W
Now, we substatute the "L" value and get...
P = 2L + 2W
260 = 2(9W) + 2W
260 = 20W
W = 260 / 20
W = 13
Since we know the width we can now find the length by using the very first formula...
L = 9W
L = 9(13)
L = 117
Therefore, the length is 117 ft and the width is 13 ft.
Brad and Terrence are working on some math problems. Today, Terrence completed 15 math problems. This is 3 more than twice the number of problems that Brad completed. A)Write an equation that can used to find , b, the number of math problems that Brad completed.
Answer:
2b + 3 = 15
b = 6
Step-by-step explanation:
9. Density measures
A. how much liquid is in an object.
C. how tightly packed an object's particles are.
B. the amount of space an object takes up.
D. the amount of matter contained in an
object.
Answer:
How tightly packed an object's particles are.