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]
Which of the expressions below will have a 8 in the thousandths place of the quotient? Select all that apply.
A) 765.812 ÷ 100
B) 98.14 ÷ 1,000
C) 18.723 ÷ 100
D) 22.38 ÷ 10
Answer:
A
Step-by-step explanation:
suppose that the life distribution of an item has the hazard rate function of what is the probability that
Answer:
that what
Step-by-step explanation:
The sum of three consecutive odd integers is 18 less than five times the middle number fimd the three integers
Answer:
7, 9, 11
Step-by-step explanation:
x+x+2+x+4=5(x+2)-18
3x+6=5x+10-18
3x+6=5x+-8
3x=5x+-14
-2x=-14
x=7
Tickets for a drumline competition cost $5 at the gate and $3 in advance. One hundred more tickets were sold in advance than at the gate. The total revenue from ticket sales was $1990. How many tickets were sold in advance?
Answer:
The number of tickets sold at the gate is [tex] G = 211.25[/tex]
The number of tickets sold in advance is [tex] A = 311.25 [/tex]
Step-by-step explanation:
From the question we are told that
The cost of a tickets at the gate is [tex]a = \$ 5[/tex]
The cost of a ticket in advance is [tex]b = \$ 3[/tex]
Let the number of ticket sold in the gate be G
Let the number of ticket sold in advance be A
From the question we are told that
One hundred more tickets were sold in advance than at the gate and this can be mathematically represented as
[tex]G + 100 = A[/tex]
From the question we are told that
The total revenue from ticket sales was $1990 and this can be mathematically represented as
[tex]5 G + 3A = 1990[/tex]
substituting for A in the equation above
[tex]5 G + 3[G + 100]= 1990[/tex]
[tex]5 G + 3G + 300= 1990[/tex]
[tex] 8G + 300= 1990[/tex]
[tex] 8G = 1690[/tex]
=> [tex] G = 211.25[/tex]
Substituting this for G in the above equation
[tex]5 [211.25] + 3A = 1990[/tex]
=> [tex] 3A = 1990 - 1056.25[/tex]
=> [tex] A = 311.25 [/tex]
7. A crew of electricians can wire 6 houses in 243 hours. How many hours will it take them to wire
13 houses?
PLEASE HELP
ILL GIVE BRAINLIEST
Answer:
f(7x−1)=63x−16
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1
9x = 7x + 6, 2x = 6, x = 3
if you subtract 19 from my number and multiply the difference by -2, the result is -8
Answer:cool
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
let the number be 'a'
-2(a - 19)= -8
open the brackets
-2a + 38 = -8
collect like terms
38 + 8 = 2a
46 = 2a
a = 23
please answer this The cost of 2.5 pounds of cheese is $5.60.
D. How could you find the cost for 5 pounds of cheese without finding the cost per pound? Type your answer in the box.
Answer:
$11.20
Step-by-step explanation:
you just double the cost of 2.5 pounds because 2.5 +2.5 is 5
Answer:20.16
Step-by-step explanation:
That is we want the price of
9
pounds (lets call it
$
x
) to be such that
$
5.60
:
2.5
pounds
is the same as
$
x
:
9
pounds
or written as fractions, we want
$
5.60
2.5
pounds
=
$
x
9
pounds
That is
XXX
$
x
=
$
5.60
2.5
pounds
×
9
pounds
XXXXX
=
$
50.40
2.5
=
$
20.16
how to find the area figure of square inches
Find the unknown angle measures.
Answer:
x = 9°
y = 119°
Step-by-step explanation:
Given,
y° = 61°+58° { the exterior angle formed by producing the side of triangle is equal to two non-adjacent angle}
or, y° = 119°
therefore, y° = 119°
Now,
52°+y°+x° = 180°{the sum of angle if triangle is 180°}
or, 52°+119°+x°= 180°
or, 171°+x° = 180°
or, x° = 180°-171°
or, x° = 9°
therefore, x° = 9°
(9x+5)+(-2x^2+10x)
(9x+5)+(−2x
2
+10x)
Answer:
If i´m correct and read the answer correct it should be:
-18x³+80x²+65x+5
Step-by-step explanation:
Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.
Which of these is a biomorphic shape? Choose the answer.
O a capital letter W
O a microphone
an outline of a pine tree
O a pyramid
Answer:
Option C: an outline of a pine tree
Step-by-step explanation:
Artists usually use two main types of shapes when drawing. One is geometric shape and the other is bimorphic shape.
A geometric shape simply refers to common regular and precise shapes like triangles, rectangles, squares which are commonly found in man made objects. Whereas, a bimorphic shape is one that is basically rounded or irregular and depicts natural things or living organisms.
Now, from the question, the only thing there that refers to a natural occurring object is "an outline of a pine tree".
Thus, it is a bimorphic shape.
Answer:
C. an outline of a pine tree
Step-by-step explanation:
I just took the test!
The length of a rectangle is (3x − 5) inches, and its width is 2x inches. Find the area of the rectangle.
Hint: Area of a rectangle = length × width.
Answer:
A = 6x² - 10x
General Formulas and Concepts:
Area of a Rectangle: Length × Width
To expand, use FOIL - First, Outside, Inside, Last
Step-by-step explanation:
Step 1: Define variables
l = 3x - 5
w = 2x
Step 2: Find area
Substitute: A = (3x - 5)(2x)Expand (FOIL): A = 6x² - 10xAnswer: A=6x^2-10x ✅
Step-by-step explanation:
Hii, do you need to find the area of the rectangle? Let me help you out! (:
Luckily, there's a formula to find this! (:
AreaTo find the area of a rectangle, multiply its length times its width. This is shown below.
[tex]\LARGE\boldsymbol{A=L W}[/tex]
Here, "A" denotes the area
"L" denotes the length
"W" denotes the width
NB : "L" and "W" are interchangeable
Next, it's just a matter of sticking in the known values...
[tex]\twoheadrightarrow\sf A=2x(3x-5)[/tex]
===> it's perfectly legal to stick in the values the other way around, because they are interchangeable
Alright, the next step is to multiply the values...
[tex]\twoheadrightarrow\sf A=(2x\cdot3x)-(2x\cdot(-5)[/tex]
Then we need to simplify...
[tex]\twoheadrightarrow\sf A=6x^2-10x[/tex]
Voila! There's the area of this rectangle! (:
Cheers! (:_______________Hope I helped! Best wishes.
⚜ Reach far. Aim high. Dream big. ⚜
_______________The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.18 F and a standard deviation of 0.65 F. Using the empirical rule, find each approximate percentage below.
a.
What is the approximate percentage of healthy adults with body temperatures within 3 standard deviation of the mean, or between 96.23 F and100.3 F?
Answer:
99.7%
Step-by-step explanation:
Empirical rule formula states that:
• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question, we have mean of 98.18 F and a standard deviation of 0.65 F
The approximate percentage of healthy adults with body temperatures between 96.23 F and100.13 F is
μ - 3σ
= 98.18 - 3(0.65)
= 98.18 - 1.95
= 96.23 F
μ + 3σ.
98.18 + 3(0.65)
= 98.18 + 1.95
= 100.13 F
Therefore, the approximate percentage of healthy adults with body temperatures between 96.23 F and 100.13 F which is within 3 standard deviations of the mean is 99.7%
An SEO account manager is concerned website developers are using too many keywords per web page. The SEO account manager would like to carry out a hypothesis test and test the claim that a web page has, on average, more than 10 keywords. Why is this hypothesis test right-tailed
Answer:
The hypothesis test is right tailed because of claim made by SEO account manager that a web page on average has more than 10 keywords.
Step-by-step explanation:
The given hypothesis test is right tailed due to the claim made by SEO account manager. The tail of hypothesis test decided by looking at alternative hypothesis. The claim stated as " a web on average has more than 10 keywords" and this leads to alternative hypothesis as
Ha:μ>10.
The alternative hypothesis shows the greater than area or also known as right tailed area. Thus, given hypothesis test is right tailed.
PLEASE HELP
Select the correct answer from each drop-down menu. Options are (equal to, not equal to)
Answer:
Not equal to.
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line y = x + 4?
The slope of the line is
Answer:
-1
Step-by-step explanation:
Answer:
- 1/6 is correct
perpendicular refers to the opposite of 1/6 therefor being negative 1/6
Step-by-step explanation:
Question 3 of 6 (1 point) Attempt 33 of Unlimited View question in a popup
2.4 Section Exercise 6
In a study of 550 meals served at 75 campus cafeterias, 77 had less than 10 grams of fat but not less than 350 calories; 81 had
less than 350 calories but not less than 10 grams of fat; 186 had over 350 calories and over 10 grams of fat.
Part: 0/2
E
Part 1 of 2
(a) What percentage of meals had less than 10 grams of fat? Round your answer to the nearest tenth of a percent.
of the meals studied, 1% of them had less than 10 grams of fat.
Answer:
10%
Step-by-step explanation:
(a) What percentage of meals had less than 10 grams of fat?
(b) Round your answer to the nearest tenth of a percent.
To find the percentage of meals with less than 10 grams of fat, count the number of meals with less than 10 grams of fat and divide by the total number of meals; multiply this figure by a hundred.
(A) Total number of meals = 550
Number of meals having less than 10 grams of fat = 77
Percentage of meals having less than 10 grams of fat = 77/550 × 100
= 0.14 × 100 = 14%
(B) Rounding the answer to the nearest tenth of a percent means approximating it to the nearest multiple of 10 that is not more than 100 (where 100 here represents a full cent or 'percent').
The multiples of 10 that are close to 14 are 10 and 20. The closest being 10, your answer becomes 10%
what is 2 times 4 time 2
Answer:
16
Step-by-step explanation:
Answer:
16
Explanation:
2 x 4 = 8
8 x 2 = 16
Order from least to greatest:
-5/6,0.567,-0.11,-1/4
Answer:
-5/6,-1/4,-0.11,0.567
Step-by-step explanation:
The data below indicate the time (in seconds) that it takes 25 separate employees to complete a certain task. hw1_q5.csva) What is the mean of the data in seconds? Give your answer to three decimal places.b) What is the median of the data in seconds?c) What is the variance of the data in seconds? Give your answer to three decimal places.d) What is the standard deviation of the data in seconds? Give your answer to three decimal places.e) What is the mean of the data in minutes? Give your answer to three decimal places.f) What is the median of the data in minutes? Give your answer to three decimal places.g) What is the variance of the data in minutes? Give your answer to three decimal places.h) What is the standard deviation of the data in minutes? Give your answer to three decimal places.seconds260224221255236215193285244284222185182197253191255231229168152221244239246
Answer:
Explained below.
Step-by-step explanation:
Consider the data provided.
(a)
Compute the mean of the data in seconds as follows:
Mean =AVERAGE(array)
= 225.280 seconds
(b)
Compute the median of the data in seconds as follows:
Median =QUARTILE.EXC(array,2)
= 229 seconds
(c)
Compute the variance of the data in seconds as follows:
Variance =VAR.S(array)
= 1148.043 seconds
(d)
Compute the standard deviation of the data in seconds as follows:
Standard deviation =STDEV.S(F2:F26)
= 33.883 seconds.
(e)
Compute the median of the data in minutes as follows:
Median =QUARTILE.EXC(array,2)
= 3.755 minutes.
(f)
Compute the median of the data in minutes as follows:
Median =QUARTILE.EXC(array,2)
= 3.817 minutes
(g)
Compute the variance of the data in minutes as follows:
Variance =VAR.S(array)
= 0.319 minutes
(h)
Compute the standard deviation of the data in minutes as follows:
Standard deviation =STDEV.S(F2:F26)
= 0.565 minutes.
Which expression is equivalent to 27 + 15?
1) 3(24 + 12)
2) 319 + 5)
3) 9(3 + 15)
4) 9(18+ 6)
Mike has at least 250 in his savings account.Which inequality represents this situation
PLEASE HELP ME ANSWER BOTH QUESTIONS WILL MARK BRAINLIEST!!!
Answer:
2034
Step-by-step explanation:
Unpredictable numbers that are distributed over a certain range are ____.
A. Random numbers
B. Random equations
C. Random formulas
D. Tables of formulas
Answer:
random numbers
Step-by-step explanation:
because they are randomly picked
Unpredictable numbers that are distributed over a certain range are _Random numbers_.
What is random experiment?Random experiments are repeated multiple times to determine its likelihood.
The number of times an experiment is repeated is better described as number of trials.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Now, Unpredictable numbers that are distributed over a certain range are random numbers because they are randomly picked.
Unpredictable numbers that are distributed over a certain range are _Random numbers_.
To Learn more about Random numbers, click here;
https://brainly.com/question/3798851
#SPJ5
What formula is used to
determine the expected value for a variable?
What is the value of y=-1/2x +5
There are three possible answers
Slope = -1.000/2.000 = -0.500
x-intercept = 10/1 = 10.00000
y-intercept = 10/2 = 5
If this is helpful please mark brainliest. Have a great day
PLEASE HELP!!! ALGEBRA! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?
Answer:
( c + a + s) = 5000
(10c + 20a + 15s) = 72000
c = 3s
Step-by-step explanation:
Number of tickets sold = 5000
Proceeds from ticket Sale = $72,000
Tickets for children 16 and younger = $10
Adults = $20
seniors 60 and older = $15
Let :
number of children, c ;
adults, a;
seniors, s,
There were 3 times more children than seniors at the concert ; c = 3s
Total number of attendees = 5000 ;
( c + a + s) = 5000
Total proceeds or revenue
(10c + 20a + 15s) = 72000
What is the absolute value of 5,234?
Answer:
Step-by-step explanation:
5.234
Find the measure of the missing angle
Answer:
M1=108° M2=72°
Step-by-step explanation:
M1 and the original 108° angle are equal, and to calculate M2, which is on the same straight line as the original 108°, we must remember that all angles on a straight line add up to 180°. So, 180-108=72, making M2 72°