A recently admitted class of graduate students at a large state university has a mean GRE verbal score of 650 with a standard deviation of 50. The scores are reasonably normally distributed. Five students have parents who happen to be on the board of trustees, and these students were admitted with a mean GRE score of 490. Should the local newspaper editor write a scathing editorial about favoritism?
Answer:
The answer is below
Step-by-step explanation:
The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:
[tex]z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16[/tex]
From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%
Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism
Zoe bought 1.5 pounds of apples for $3.50 per pound. She wanted to find the total cost using partial products.
Answer:
She spent $5.25
Step-by-step explanation:
The total cost of the apples is $5.25 if Zoe bought 1.5 pounds of apples for $3.50 per pound.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Zoe bought 1.5 pounds of apples for $3.50 per pound.
Let x be the total cost of the product:
x = 3.50x1.5
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
x = $5.25
Thus, the total cost of the apples is $5.25 if Zoe bought 1.5 pounds of apples for $3.50 per pound.
Learn more about the linear equation here:
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Find the approximate length of a 90 degree arc in a circle of radius 14 ft
Katrina, Jackie, and Molly are making crafts for the craft fair. Katrina has 3/10
made of hers, Jackie has made 2/5 of hers, and Molly has made 1/2 of
hers. Which shows these amounts in order from SMALLEST to LARGEST?
Answer:
Step-by-step explanation:
First you need to find a common denominator which in this case it 10
*Remember that whatever you do to thee bottom you need to do to the top*
3/10 - 3/10
2/5 = 4/10
1/2= 5/10
So the order is
Katrina - 3/10
Jackie - 4/10
Molly - 5/10
Hope this helped
Help PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
ok can u comment done any one question that u need help on?
For each line, determine whether the slope is positive, negative, zero, or undefined.
Line 1
Line 2
Line 3
Line 4
O Positive
Negative
O Zero
O Undefined
O Positive
O Negative
O Zero
O Undefined
O Positive
O Negative
O Zero
O Undefined
O Positive
O Negative
O Zero
O Undefined
Answer:
1. Negative
2. Undefined
3. Positive
4. Zero
Step-by-step explanation:
just took notes on subject and know answer. 100% sure its right
The slope of a line is determined by its steepness.
The formula for calculating slope is expressed as;
[tex]\frac{\triangle y}{\triangle x} = \frac{y_2-y_1}{x_2-x_1}[/tex]
For the first graph, we can assume the coordinates (-1, 0) and (0, -2), the [tex]\frac{\triangle y}{\triangle x} = \frac{-2-0_1}{0-(-1)}\\\frac{\triangle y}{\triangle x} = \frac{-2}{1}\\\frac{\triangle y}{\triangle x} = -2\\\\[/tex]
Since the slope is -2 which is a negative value, hence the slope of LlNE 1 is negative
For the vertical line, since the line is parallel to the y axis and the change in the x-value is zero, hence the slope of LINE 2 will be UNDEFINED
For the THIRD graph, we can assume the coordinates (2, 0) and (0, -2), the [tex]\frac{\triangle y}{\triangle x} = \frac{-2-0}{0-2}\\\frac{\triangle y}{\triangle x} = \frac{-2}{-2}\\\frac{\triangle y}{\triangle x} = 1\\\\[/tex]
Since the slope is 1 which is a negative value, hence the slope of LlNE 3 is positive
For the horizontal line (fourth graph), since the line is parallel to the x-axis and the change in the y-value is zero, hence the slope of LINE 4 will be ZERO
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FOR QUESTION 4 I NEED AN ANSWER ASAP !!!!
Answer:
10 k cal
Step-by-step explanation:
the ecosystem has ecological of 10%
the producer level is 1000 kilo-calories
the primary consumer will contain 10 % of the producer:
10000*10%=1000
the secondary consumer will contain 10% of the primary:
1000*10%=100 k cal
the tertiary will get 10% of the secondary: 100*10%=10 kcal
A rectangle has an area of 6x ^ 2 + 7x - 3 square units. Which of the following could represent the perimeter of the rectangle in terms of ?
simplify the expression. write your answer in scientific notation
(9.6x10^3) x (6.7x10^2)
What is the slope of the line shown
Answer: 1
Step-by-step explanation:
Answer
Step-by-step explanation:
rise=1 and run=1
the fraction below represents two factions of the same whole. How much of the 5/6 is in the 1/3?
A.2/5
B.1/2
C.5/9
D.6/9
Truckco manufactures two types of trucks: 1 and 2. Each truck must go through the painting shop and assembly shop. If the painting shop were completely devoted to painting Type 1 trucks, then 800 per day could be painted; if the painting shop were completely devoted to painting Type 2 trucks, then 700 per day could be painted. If the assembly shop were completely devoted to assembling truck 1 engines, then 1,500 per day could be assembled; if the assembly shop were completely devoted to assembling truck 2 engines, then 1,200 per day could be assembled. Each Type 1 truck contributes $300 to profit; each Type 2 truck contributes $500. formulate an LP that will maximize Truckco’s profit.
Answer:
Step-by-step explanation:
Let y represent type 2 truck and x represent type 1 truck. The painting can be represented by the inequality:
[tex]\frac{x}{800}+\frac{y}{700}\leq 1[/tex] (1)
The assembling can be represented by the inequality:
[tex]\frac{x}{1500}+\frac{y}{1200} \leq 1[/tex] (2)
Also, x, y ≥ 0
The objective function is given as:
max z = 300x + 500y
Plotting 1 and 2 using online geogebra
From the graph, the optimal value is at (0,700). Hence:
max z = 300(0) + 500(700) = $350000
Please help me with this
Answer:
Your base is -5 and your exponent is 6.
Step-by-step explanation:
Mark me as Brainliest plz!!!
Use De Morgan's laws to express a negation for the following statement. This computer program has a logical error in the first ten lines or it is being run with an incomplete data set.
A) This computer program does not have a logical error in the first ten lines or it is not being run with an incomplete data set.
B) This computer program has a logical error in the first ten lines or it is not being run with an incomplete data set.
C) This computer program does not have a logical error in the first ten lines and it is not being run with an incomplete data set.
D) This computer program has a logical error in the first ten lines and it is not being run with an incomplete data set.
E) This computer program does not have a logical error in the first ten lines and it is being run with an incomplete data set.
Answer and Step-by-step explanation:
Let
P = this computer program has a logical error in the first ten lines.
q = it is being run with an incomplete data set.
Not p = ¬p
P or q = p ∨ q
P and q = p ∧ q
If p then q = p → q
P if and only if q = p ↔ q
a) Computer program does not have a logical error in the first ten lines or is not being run with an incomplete data set.
¬p ∨ ¬q
b) Computer program has a logical error in the first ten lines, or it is not being run with an incomplete data set
p v ¬q
c) Computer program does not have a logical error in the first ten lines, and it is not being run with an incomplete data set
¬p v ¬q
d) Computer program has a logical error in the first ten lines, and it is not being run with an incomplete data set.
P v ¬q
e) Computer program does not have a logical error in the first ten lines, and it is being run with an incomplete data set
¬p v q
How do you do b,c,d?
Step-by-step explanation:
(b) x is at 2 twice, and -2 twice.
y is at 2 three times, and -2 three times.
The graph that fits is I.
(c) x is at 2 twice, and -2 twice.
y is at 2 once, and is never negative.
The graph that fits is IV.
(d) x is at 2 and stays there for a period of time.
y is at -2 and stays there for a period of time.
The graph that fits is II.
I need help please. Thank you in advance.
Answer:
(-5,2); opens up
Step-by-step explanation:
In the equation y = a(x − h)² + k, if a is positive it opens up
The vertex is: (h, k)
Since in the equation h is multiplied by a negative one, you have to flip the sign of h in the equation.
(x-(-5)) = (x+5)
Help help help me on this math
Answer:
x=2
Step-by-step explanation:
4x-9=-1
+9 = +9
4x=9+(-1)
4x=8
divided by 2
x=2
Hope this helps :)
Consider the experiment of tossing a coin twice.
a. List the experimental outcomes. (Let H represent a coin landing on heads and T represent a coin landing on tails.)
b. Let denote the number of heads occurring on two coin tosses. Show what value the random variable would assume for each of the experimental outcomes.
c. Define a random variable that represents the number of heads occurring on the two tosses.
d. Is this random variable discrete or continuous?
Answer:
Kindly check explanation
Step-by-step explanation:
Experiment of tossing a coin twice :
A.) Experimental outcome:
Head = H ; Tail = T ;
Head and Head = HH
Tail and Tail = TT
Head and Tail = HT
Tail and Head = TH
Number of head(s) on toss = z
C)
Experimental outcome ___number of heads(z)
HH _____________________2
TT _____________________ 0
TH _____________________ 1
HT _____________________ 1
D) the random variables defined are discrete because they are only take up integer values within a specified range
The following conclusions of the random variable will be
a. Total outcome = 4 {HH, HT, TH, TT}
b. The experimental outcomes = 2 {TH, HH}
c. The experimental outcomes = 1 {HH}
d. Random variable is discrete.
What are random variables?Random variables are rules relating the sample space's elements to real numbers.
What are discrete random variables?Those random variables, which take only distinct values, are called discrete random variables.
What are continuous random variables?Those random variables, which take any value from a given continuous interval of real numbers are called continuous variables.
The experiment of tossing a coin twice.
The total number of outcomes will be
Total outcome = 4 {HH, HT, TH, TT}
a. List the experimental outcomes.
Total outcome = 4 {HH, HT, TH, TT}
b. The number of heads occurring on two coin tosses.
The experimental outcomes = 2 {TH, HH}
c. A random variable that represents the number of heads occurring on the two tosses.
The experimental outcomes = 1 {HH}
d. Random variable is discrete.
More about the random variable link is given below.
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what is the sum of 5.3 x 10the power of 5 and 3.8 x 10 power to the 4 in a scientific notation
Answer:5.68x10^5
Step-by-step explanation:
Suppose it takes John 18 minutes to run 3 miles. How long would it take him to run 7 kilometers? round to the nearest minute
Answer: 26 Minutes
Step-by-step explanation:
3 mi * 1.609 km/1 mi = 4.82 km
4.82 km/ 18 minutes = 7 km/ x minutes
4.82x=18*7
x=126/4.82
x=26.14 ~ 26 Minutes
One mile contains 1 mile = 1.690KM.
According to the if we convert 7km into miles 4.3496 miles. Thus the correct answer for the question is 26 minutes
Explanation:
That its taken the when john runs 18 minutes for 3 miles that is km4.82 than if we consider 1.34 miles is required to be covered more when subtract the value 4.3496-3.0000-1.34miles it should be 13is half of it multiply by 2 minutes more is required to cover the left distance is carried by Dividing 18by 1.34 and multiplying by 2
Thus we conclude that above answer to the Question is correct
To know more about the miles and kilometers
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Find the value that makes the equation
2d + 4 = 12 true.
Answer:d=12
Step-by-step explanation:
Evaluate if X = 5 and Y = 10
5 + 7X - 3Y
Answer:
10
Step-by-step explanation:
Plug in 5 for x, and 10 for y in the expression:
5 + 7(5) - 3(10)
Remember to follow PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponent (& Roots)
Multiplication
Division
Addition
Subtraction
First, Multiply:
7 * 5 = 35
-3 * 10 = -30
5 + 35 - 30
Combine like terms:
(5 + 35) - 30
40 - 30 = 10
10 is your answer.
~
Solve for x.
8x=4x−32
A)x = 8
B)x = 4
C) x=−4
D) x=−8
Answer:
x=-8
Step-by-step explanation:
i took the quiz
Answerd
Step-by-step explanation:
A piece of pine is 6 feet long,1 foot wide,and and 5 foot thick and weighs 90 pounds,what is the volume? What is the density?
Select the correct expressions.
Which expressions are equivalent to 3x + 2(x - 1) - 4?
3x + 2x - 2 - 4
5x6
3(x-4)
3(x + 2) - 6
6(x - 1)
round each number to the nearest ten 74.362 28.45 13.09
Answer:
74, 30, 13
Step-by-step explanation:
Answer: 74, 28 and 13
Step-by-step explanation:
Find the area of polygon PQRS.
A. 7 units squared
B. 12 units squared
C. 17 units squared
D. 22 units squared
Answer:
12 unit squared....................
Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-5,-) OB. (-2,-4) O C. (1,-6) O D. (-:-)
Answer:
B. (-2,-4)
Explanation
Given equations:
y = 3x + 2
y = -2x - 8
Solving both equations will yield the values of x and y;
Solution:
y = 3x + 2 ----- (i)
y = -2x - 8 ------ (ii)
Using substitution method, input equation i, into ii
3x + 2 = -2x - 8
Collect like terms and solve;
3x + 2x = -8 -2
5x = -10
x = -2
Then put x = -2 into i, to find y
y = (-2 x 3) + 2
y = -6 + 2 = -4
So, the solution of the equation is B. (-2,-4)
plz help! Pythagorean Theorem Pythagorean Theorem
Answer: (Option 2)
Step-by-step explanation: 10 to the second power represents the biggest square. 6 to the eight power represents the 2nd biggest square. The hypotenuse which is 8 to the second power would give you answer B.
Rewrite 1/4 barrel over 2/3 of an hour as a unit rate
A.2 2/3
B. 1/6 barrel/hour
C. 6 barrels/hour
D. 3/8 barrel/hour
Answer:
d
Step-by-step explanation: