The correct and complete question is shown below;
The random variable X denotes the GMAT scores of MBA students who were accepted to top MBA programs in Fall 2012. Assume that is normally distributed with a mean [tex]\mu_x[/tex] = 675 and a standard deviation [tex]\sigma_x = 30[/tex]
Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725?
Answer:
The probability that the student's GMAT score is higher than 725 = 0.3928
Step-by-step explanation:
From the given information:
Let X be the random variable that follows a normal distribution;
Then;
[tex]X \sim N( \mu_x = 675, \sigma_x = 30)[/tex]
To objective is to determine the probability that [tex]P(X > 725 | X > 710)[/tex]
[tex]P(X > 725 | X > 710)= \dfrac{P(X > 725 \cap X > 710 )}{P(X > 725)}[/tex]
[tex]\dfrac{P(X > 725 )}{P(X > 710)}=\dfrac{1 - P(X < 725) }{1- P(X < 710)}[/tex]
By using the EXCEL FORMULA: [tex]"= NORMDIST(x, \mu_x , \sigma_x , 1)"[/tex]
P(X< 725) = [tex]" = NORMDIST(725,675,30,1)"[/tex]
P(X< 725) = 0.9522
P(X< 710) = [tex]" = NORMDIST(710,675,30,1)"[/tex]
P(X< 710) =0.8783
[tex]P(X > 725 | X > 710)=\dfrac{1 - 0.9522}{1- 0.8783}[/tex]
[tex]P(X > 725 | X > 710)=\dfrac{0.0478}{0.1217}[/tex]
[tex]P(X > 725 | X > 710)=0.3928[/tex]
Point G is on line segment F H ‾ FH . Given F G = 5 x + 2 , FG=5x+2, G H = 3 x − 1 , GH=3x−1, and F H = 9 , FH=9, determine the numerical length of F G ‾ . FG .
Answer:
FG = 7
Step-by-step explanation:
From the question, we are given:
FG=5x+2, GH=3x−1, and F H = 9
FG + GH = FH
5x + 2 + 3x - 1 = 9
5x + 3x + 2 - 1 = 9
8x + 1 = 9
8x = 9 - 1
8x = 8
x = 8/8
x =1
We are determining the numerical length of FG
FG= 5x + 2
FG = 5(1) + 2
FG = 5 + 2
FG = 7
Can any one help me?
f(x)=3x+1 what is the value of f(-2/3)
Answer:
f = -1
Step-by-step explanation:
f(x) = 3x + 1
f(-2/3) = 3(-2/3) + 1
f = -2 + 1
f = -1
Answer:
= -2f/3
Step-by-step explanation:
Determine the domain :y=|x+5|+1
Answer:
B im pretty sure
Step-by-step explanation:
Answer:
Domain: ( − ∞ , ∞ ) , { x | x ∈ R }
Range: [ 1 , ∞ ) , { y | y ≥ 1 }
Step-by-step explanation:
ind the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
Find the exponential function evaluate of
Y=2.5x
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 2.52.5
y-intercept: (0,0)
x y
0 0
1 2.5
丼
A line passes through (2, 7) and has a slope of -4. What is its equation in point-slope form?
Sorry I'm bad
Answer:
y= (-4/1)x -1
Step-by-step explanation:
As a fundraiser for a band trip, the Edison Middle School Band plans to sell hats that feature the
school logo. The company producing the hats will charge the band $240 for the design and set-up
costs, plus $8 per hat. The band members have decided to sell the hats for $12 each.
a. Write an equation that represents the production cost in dollars to make the hats. Describe
what your variables represent.
b. Write an equation that represents the amount of money the band will make from selling the
hats. Describe at your variables represent
Answer:
a. c=240+8x
b. e=12x
Step-by-step explanation:
a. The equation would indicate that the production cost in dollars is equal to the design and set-up cost plus the cost per hat for the number of hats produced:
c=240+8x, where c is the production cost in dollars and x is the number of hats produced.
b. The equation would indicate that the amount of money the band will make from selling the hats is equal to the price per hat for the number of hats sold:
e=12x, where e is the amount of money the band will make from selling the hats and x is the number of hats sold.
ples help!!! andrew can frame 9 pictures each day. he has an order for 108 pictures. how many days will it take him to complete the order
Answer:
23
Step-by-step explanation:
Answer:
12 days.
Step-by-step explanation:
108 divided by 9!
The following is the correct way to show the product for 0.297×7.1:
Answer:
2.1087
Step-by-step explanation:
0.297
7.1 +
2.1087
2x + 3y- z = 13
3x - 4y+z = -2
x + 2y + 2z= 21
The function h is defined by h(x)= 2x^2+3. find h (3z).
h(3z) = 2(3z)^2 + 3 = 18z^2 + 3
h(3z) is equal to 18z² + 3
To find h(3z), we substitute 3z into the function h(x). This means we replace x with 3z in the expression for h(x).
h(3z) = 2(3z)² + 3
Simplifying this expression, we have:
h(3z) = 2(9z²) + 3
h(3z) = 18z² + 3
So, h(3z) is equal to 18z² + 3. This means that if we input any value of z into the expression, the function h will output the corresponding value by evaluating 18z² + 3.
The function h(3z) represents a quadratic expression in terms of z, where the coefficient of z² is 18 and there is a constant term of 3 added to the result.
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Garrison deposited $500 in an account that earns 5%
annual interest compounded annually. If he makes no
withdrawals or deposits, how much interest will the
account earn after 4 years?
Answer:
$107.75
Step-by-step explanation:
mark me brainliestt please
The Amount will be $607.75 and Interest is $ 107.75 after 4 years.
What is Compound Interest?In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one.
The interest you earn on interest is known as compound interest.
Given:
Garrison deposited $500.
Interest = 5%
Time= 4 years.
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 500.00[tex](1 + 0.05/1)^{(1)(4)[/tex]
A = 500.00[tex](1 + 0.05)^{(4)[/tex]
A = $607.75
and, I = A- P
I = 607. 75 - 500
I= $107.5
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What are the total expenses for a month if someone spends $900 on rent,
$290 on groceries, $55 for electric, $30 for water, $70 for car insurance,
$145 on entertainment, $87 on gas, $40 on clothes, and $56 on sports.
Answer:
$1673
Step-by-step explanation:
$900+$290+$55+$30+$70+$145+$87+$40+$56=$1673
PLZ HELP FAST
Suppose x and y give the populations of two different cities where x >y and y > 0. Compare the expressions and select which of the given pair is greater. X/ x +y (select) x+y /X
Answer:
(x + y)/x is greater than x/(x + y)
Step-by-step explanation:
Given.
x > y
y > 0
Required
Which is greater?
x/(x + y) or (x + y)/x
Since x is greater than y & y > 0
Then definitely,
x + y > x
By the above analysis:
(x + y)/x is an improper fraction because the numerator (x + y) is greater than the denominator (x)
While
x/(x + y) is a proper fraction because the numerator (x) is lesser than the denominator.
All improper fractions are greater than all proper fractions,
Hence:
(x + y)/x is greater than x/(x + y)
To further explain this:
Take
x = 3 and y = 2
x/(x + y) = 3/(3 + 2) = 3/5 = 0.6
(x + y)/x = (3 + 2)/3 = 5/3 = 1.67
See that (x + y)/x is greater than x/(x + y)
And this is so for all values of x and y
Where x > y and y > 0
Answer:
is less than
Step-by-step explanation:
Try it
Solve the system of equations.
2x + 3y = 1
5x + 2 = 8
What is the solution?
Answer:
x=6/5 ,y= -7/15
Step-by-step explanation:
we are going to solve this simultaneously.
2x+3y=1.......(i)
and
5x+2=8
5x=6
x= 6/5 .......(ii)
Now let's put value of x into equation number (i)
2x+3y=1
2(6/5) +3y=1
12/5 +3y =1
3y= 1-(12/5)
3y = -7/5
y = (-7/5) ÷3
y= -7/15
1 point
Translate the words to an algebraic expression. "The first integer plus the next consecutive integer plus the next consecutive integer."
Answer:
3x+3
Step-by-step explanation:
The given expression is "The first integer plus the next consecutive integer plus the next consecutive integer."
Let the first integer is x.
Next consecutive integer of x = x+1
Other next consecutive integer of x+1 = x+1+1=x+2
ATQ,
The expression is :
=x+x+1+x+1+1
=3x+3
I need to know how to write a equation number sentence for my time traveled from 2020 to 2000
Answer:
explain further or send a picture of what you mean and then I can help you
The midpoint of AB is M(3,3). If the coordinates of A are (2, -1), what are the
coordinates of B?
Answer:
(4, 7)
Step-by-step explanation:
Given that:
Midpoint of AB = M(3, 3)
Coordinate of A = (2, - 1)
Let coordinates of B = (x, y)
Recall :
Midpoint of AB = [(Ax + Bx) / 2, (Ay + By) / 2]
Mx = (Ax + Bx) / 2
My = (Ay + By) / 2
Mx = 3
Mx = (Ax + Bx) / 2
3 = (2 + x) / 2
2*3 = 2 + x
6 = 2 + x
6 - 2 = x
4 = x
My = 3
My = (Ay + By) / 2
3 = (-1 + y) / 2
2*3 = - 1 + y
6 = - 1 + y
6 + 1 = y
7 = y
Hence,
B = (4, 7)
x-3/7=x+1/32 solve the equations
Answer:
invalid
Step-by-step explanation:
combine like terms
invalid
0 is not equal to anything
A catering company loses $110 as a result of a delay.
The 5 owners of the company must share the loss equally.
Which integer represents the change in profit for each owner?
Answer:
-$22.00
Step-by-step explanation:
Which equation matches the graph
Answer:
C
Step-by-step explanation:
the slope is -4 and the y-intercept is -1
hope this helps :3
Help please
-x^3 = 216
a. +/- 6
B. 6
C. -6 ∛6
D. -6
Answer:
D. -6
Step-by-step explanation:
SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct
Given h(x) = 5x + 3. what is the value of h(-11)
Answer:
h(-11)=-52
Step-by-step explanation:
Answer:
h(x)=52
Step-by-step explanation:
so x= -11 now plug in for x and solve
5(-11)+3
-55+3= -52
Triangle ABC, in the coordinate plane, is reflected over the -axis to form shown on the coordinate plane below.
Answer:
I think it’s C
Step-by-step explanation:
Answer: (x,y) to (x,-y)
Step-by-step explanation:
1. Compare using >,<, or =. d. 24 tenths ______2.5
Answer:
<
Step-by-step explanation:
[tex]24 \: tenths = \frac{24}{10} = 2.4 \\ \\ 2.4 \: \: \red{\bold{ < }} \: \: 2.5[/tex]
Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
Answer:
P[2qp] = 0,467 or 46,7 %
Step-by-step explanation:
The probability of two of seven chemistry professors is equal to:
P[2 qp] = quantity of combinations of seven elements taken in groups of two, over total quantity of events, therefore
The total quantity of combinations is:
3 statistics professors + 7 chemistry professors taken in groups of 2 that is:
Te = (3 + 7) ! / 2!*(10-2)!
Te = 9!/ 2!*5! ⇒ Te = 9*8*7*6*5!/2!*8! ⇒ Te = 9*8!/2*8!
Te = 45
And successful events are:
C₇,₂ = 7!/2!*(7-2)!
C₇,₂ = 21
Finally, the probability that both professors are chemistry professors is:
P[2qp] = 21/45
P[2qp] = 0,467 or 46,7 %
The probability of selecting both professors are chemistry professors will be 0.4667 or 46.67%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Three statistics professors and seven chemistry professors are available to be advisors to a student organization.
The student organization needs two of the professors to be advisors.
If each professor has an equal chance of being selected.
The probability that both professors are chemistry professors will be
The total quantity of combinations will be
[tex]\rm T = \ ^{10} C _ 2 = 45[/tex]
And successfull events will be
[tex]\rm F = \ ^7C_2 = 21[/tex]
Then the probability will be
[tex]\rm P = \dfrac{F}{T}\\\\\\P = \dfrac{21}{45}\\\\\\P = 0.4667 \ or \ 46.67 \%[/tex]
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Evaluate 9sigma n=5 3n+2
Answer:
17
Step-by-step explanation:
make me as brienliest
Given a normal distribution with a mean of 125 and a standard deviation of 14, what percentage of values is within the interval 111 to 139?
A. 32%
B. 50%
C. 68%
D. 95%
E. 99.7%
Answer:68%
Step-by-step explanation:
just took this test
The percentage of values is within the interval 111 to 139 will be "68%".
ProbabilityAccording to the question,
Mean = 125
Standard deviation = 14
Let,
The random variable be "X".
Now, the probability:
→ P(111 < X < 139) = P (111 - 125 < X - 125 < 139 - 125)
= P(-14 < X - 125 < 14)
= P(-[tex]\frac{14}{14}[/tex] < [tex]\frac{(X-125)}{14}[/tex] < [tex]\frac{14}{14}[/tex])
= P(-1 < Z < 1)
When, Distribution function "[tex]\phi[/tex]" now,
= [tex]\phi[/tex](1) - [tex]\phi[/tex](-1)
= [tex]\phi[/tex](1) - 1 + [tex]\phi[/tex](1)
= 2 × [tex]\phi[/tex](1) - 1
= 2 × 0.8413 -1
= 1.6826 - 1
= 0.6826 or,
= 68%
Thus the above answer i.e., "option C" is correct.
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A 168-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Answer:
42
Step-by-step explanation:
168 Inches. One is three times the length of the other so, the bigger piece is 3/4 while the shorter is 1/4. Simply multiply 1/4 by 168. You get 42.
To multiply two numbers using scientific notation, you would ____ the exponents.
Answer:
add
Step-by-step explanation:
Answer:
Add
Step-by-step explanation:
To multiply numbers written in scientific notation, first multiply the coefficients and then add the exponents.
See if that helps.
