The Least Common Denominator of the fractions 5/8, 1/2, and 5/6 is 24.
What is least common denominator?The smallest number that can serve as a common denominator for a group of fractions is known as the least common denominator (LCD), also known as the lowest common denominator. The "smallest non-zero common number," a multiple of both numbers, is the least common multiple of two numbers.
How to solve it?Here, the given fractions are 5/8, 1/2, and 5/6.
So, we have to find the least common multiple of 8, 2, and 6 [Since they are the denominators of our given fractions].
8 = 2*2*2
2 = 2*1
6 = 2*3
So LCM of 8, 2, and 6 is 2*2*2*3 = 24
Therefore the Least Common Denominator of the fractions 5/8, 1/2, and 5/6 is 24.
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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 ?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 ?
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]
2a-3b=4, solve for b
Answer:
b= - 4/3 + 2a/3
Step-by-step explanation:
The required simplified expression for b is b = [2a - 4] / 3.
Given that,
An expression is given,
2a -3b = 4
The above-given expression should be reorganized in order to solve b.
Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
2a - 3b = 4
-3b = 4 - 2a
b = [4 - 2a ] / -3
b = [2a - 4] / 3
Thus, the required simplified expression for b is b = [2a - 4] / 3.
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Trapezoid STUV is similar to trapezoid FGH).
What is the value of m in centimeters?
A.7
B.4
C.16
D.6.25
Answer:
A. or 7 because to get to 10 from 8 u add 2 adding 2 on to 5 gets u 7
What is a perfect squares
Answer:
A square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 ×3
HOPE IT WILL HELP U!!!!!!
HELP ME PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Left: -1 2/3
Right: -1 1/4
Issac read that 32% of people owned dogs . What decimal represents the portion of people who do not own dogs ?
Answer:
68 % = .68
Step-by-step explanation:
I NEED HELP LIKE REALLY REALLY FAST
Answer:
56 inches I believe.
I'm not 100% sure.
The surface area is 50 square inches
Find the value of each variable.
I need help only on 3 please
What is the measure of an exterior angle of a regular 14-sided polygon? Enter your answer as a decimal in the box. Round to the nearest tenth of a degree.
Answer:
21.715 degrees.
Step-by-step explanation:
There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. So the exterior angle of each is 180-154.285 = 21.715 degrees.
Celia is renting a scooter for the day. There is a linear relationship between the number of hours the scooter is rented and the cost. Based on the table, what is the initial fee for the scooter?
Answer:
Step-by-step explanation:
The answer is $26
These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side labeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Remember that area is scale factor x scale factor. Use Triangle G and Triangle F
Answer:
The question is not complete, below is the completed question:
These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side labeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Remember that area is scale factor x scale factor.
1. Triangle G and Triangle F
2. Triangle G and Triangle B
3. Triangle B and Triangle F
4. Triangle F and Triangle H
5. Triangle G and Triangle H
6. Triangle H and Triangle B
Answer:
1. Triangle G and Triangle F = 4 times
2. Triangle G and Triangle B = 0.2 times
3. Triangle B and Triangle F = 16 times
4. Triangle F and Triangle H = 0.11 times
5. Triangle G and Triangle H = 0.44 times
6. Triangle H and Triangle B = 0.56 times
Step-by-step explanation:
using the image of the triangles attached to this solution, let us calculate the area of each pair of triangles
1. Area of Triangle = [tex]\frac{base\ \times\ height}{2}[/tex]
[tex]F = \frac{6 \times 8}{2} = \frac{48}{2} = 24\\B = \frac{\frac{3}{2} \times 2 }{2} = \frac{3}{2} = \frac{3}{2}\\ G = \frac{3 \times4}{2}= \frac{12}{2} = 6\\ H = \frac{2 \times \frac{8}{3} }{2} = \frac{16}{6} = \frac{8}{3}[/tex]
To find by how many times the second triangle is larger than the first, we will calculate the ratio of the areas of the second triangle to the first
1. Triangle G and Triangle F = 24:6 = 4
∴ The area of triangle F is 4 times larger than triangle G
2. Triangle G and Triangle B = 3/2 : 6 = [tex]\frac{1}{4}[/tex] = 0.2
∴ The area of triangle B is 0.2 times larger than triangle G
3. Triangle B and Triangle F = [tex]24 : \frac{3}{2} = 16[/tex]
∴ The area of triangle F is 16 times larger than triangle B
4. Triangle F and Triangle H = [tex]\frac{8}{3} : 24 = \frac{1}{9} = 0.11[/tex]
∴ The area of triangle H is 0.11 times larger than triangle F
5. Triangle G and Triangle H = [tex]\frac{8}{3} : 6 = \frac{4}{9} = 0.44[/tex]
∴ The area of triangle H is 0.44 times larger than triangle G
6. Triangle H and Triangle B = [tex]\frac{3}{2} : \frac{8}{3} = \frac{9}{16} = 0.56[/tex]
∴ The area of triangle B is 0.56 times larger than triangle H
A dentist sees a patient every 20 minutes. He works an average of 60 hours per week. How many patients does he see in a year. He takes 3 weeks vacation. Round your answer down.
Answer:
1040
Step-by-step explanation:
Solve for n.
-53 + n = -28
-35
-25
25
35
Answer:
25
Step-by-step explanation:
-28+53
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answers for the homies that don’t wanna do the work edge 202
Help a brother out I haven’t slept in like 2 days
Answer:
pleae do my problem and ill help u
how many one and one fourths are in four and one half
Step-by-step explanation:
Being tested hurry pls.
All of the following statements about the Jumanos are true except: a. They hunted buffalo. b. They were avid traders. c. They lived along the Rio Grande. d. They still live near El Paso today.
Answer:
b
Step-by-step explanation:
I REALLY NEED THE HELP ASAP PLEASE
Solve - 4(x + 10) – 6 = -3(x - 2). (1 point)
-40
-46
-52
52
Answer:
X=-52
Step-by-step explanation:
-4(X+10)-6=-3(x-2)
-4x-40-6=-3x+6
-4x+3x=6+46
-x=52
X=-52
In the past, patrons at a cinema spent an average of $ 2.50 for popcorn with standard deviation of $ 0.90. The amount of these expenditures is normally distributed . Following an intensive public campaign about the negative health effects of eating popcorn by a local medical school, the mean expenditures for a sample of 18 patrons is found to be $ 2.10. At 0.01 level of significance, does this recent experience suggest decline in spending
Answer:
There's no evidence to show that the recent experience suggests a decline in spending.
Step-by-step explanation:
We are given;
Population mean; μ = $2.5
Population Standard deviation; σ = $0.9
Sample mean; x¯ = $2.1
Sample size; n = 18
Significance level; α = 0.01
Let's define the hypothesis;
Null hypothesis; H0: μ ≥ $2.5
Alternative hypothesis; Ha: μ < $2.5
z-score formula is;
z = (x¯ - μ)/(σ/√n)
z = (2.1 - 2.5)/(0.9/√18)
z = -0.4/0.2121
z = -1.886
Using the p-value from z-score calculator attached and using z = -1.886; α = 0.01; one tail; we have;
P-value = 0.2965
This is more than the significance level. Thus, we will fail to reject the null hypothesis and conclude that there is no evidence to show that the recent experience suggests a decline in spending.
1. John and Sally each had a salad and two waters as well as a piece of
cheesecake for dessert, which came to $20.50. Their salads were
delicious, but their cheesecake was not as fresh and it should have
been. They decide to leave the standard 15% tip. How much of a tip will
they leave and how much is their total?
If you have 4 gallons of gas to drive 120 miles how many miles can u drive if you have 1 gallon of gas
Answer:
1 gallon of gas
= 120/4
= 30 miles
Joe Mathis works as a pianist in a local restaurant. He makes $8.50 an hour.
He was able to work 39 hours last week. How much money did he make that
week?
Answer:331.5
Step-by-step explanation:
Multiplication is the process of multiplying. The amount that is made by Joe last week is $331.5.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Joe Mathis works as a pianist in a local restaurant. He makes $8.50 an hour. He was able to work 39 hours last week. Therefore, the amount that is made by Joe Mathis in the last week is,
Amount made by Joe = Amount paid per hour × Number of hours
= $8.50 per hour × 39 hours
= $331.5
Hence, the amount that is made by Joe last week is $331.5.
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If Merrida multiplies the first term, 7 by a factor of 6 what should she do to find the other term for the equivalent
ratio?
What is the solution to Zx =5g(2x-c)
Answer:
zx = 5g(2x-c)
zx = 10gx - 5gc
zx - 10gx = - 5gc
answer is x = 5cg/10g-z
Step-by-step explanation:
im sorry if its not the right answer but i think its right
Real Numbers Quiz Active 1 2 3 4 Which answer describes the type of numbers that are dense? whole numbers and integers O whole numbers but not integers rational numbers and irrational numbers rational numbers but not irrational numbers
Answer:
C. rational numbers and irrational numbers
Step-by-step explanation:
Rational numbers are those numbers that can be used to express the ratio of two whole numbers. An example is the figure 2. It can be expressed as a fraction of another number like when we write 2/8. Both figures are rational. Irrational numbers cannot be used to express the ratio of two whole numbers or integers. An example is a digit like 0.666666... Rational and irrational numbers are real numbers because real numbers encompass all the types of numbers we can think of, positive, negative, decimals, whole, etc.
The density of numbers is seen in the fact that there is no vacuum created between real numbers when plotted on the number line.
PLZ ANSWER FAST (50 POINTS + BRAINLIEST)
Your parents deposited $1,500 into a new college fund that will earn an annual compound interest rate of 3%. How much money will be in the account when you need it for college in 5 years? (write and use the compound interest formula)
Answer:
$1,738.91
Step-by-step explanation:
Future value = A(1+i)^n
A= $1,500
i = 3%
n - 5
Future value = $1,500*(1+0.03)^5
Future value = $1,500*(1.03)^5
Future value = $1,500*(1.03)^5
Future value = $1,500*1.1592740743
Future value = $1738.91111145
Future value = $1,738.91
$1,738.91 is the amount of money you will meet in the account when you need it for college in 5 years.
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Answer:
yeah fr
Step-by-step explanation:
What is mAngleMHJ? HELP PLEASE
35°
50°
72.5°
92.5°
Answer:
35
Step-by-step explanation:
set 2x-20 = x+15 and solve
Answer:
50
Step-by-step explanation:
EDGE2021
The distance from Chicago to Pittsburgh is 462 Mi on your phone that distance is represented by 2 in using the same scale if the distance between two cities on your phone is 3in how many miles apart are they
Answer:
693 miles
Step-by-step explanation:
Given that :
Distance between Chicago to Pittsburgh = 462 Mi
On phone :
462 Miles = 2 inches
Using the same scale :
If distance between two cities is 3 inches, how many miles apart are they?
Let distance = d
462 miles = 2 inches
d = 3 inches
Cross multiply
2d = 462 * 3
2d = 1386
d = 1386 / 2
d = 693 miles
Mike has at least 250 in his savings account.Which inequality represents this situation
PLZ ANSWER FAST (60 POINTS + BRAINLIEST)
Answer:
are we looking for the intercept
Step-by-step explanation:
ex. an analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Answer:
x=00s
Step-by-step explanation: