5. GMAT scores are approximately normally distributed with a mean of 547 and a standard deviation of 95. Estimate the percentage of scores that were(a) between 357 and 737. %(b) above 737. %(c) below 452. %(d) between 452 and 737. %
Answers
Problem Statement
The question tells us that the GMAT scores are approximately normally distributed with a mean of 547 and a standard deviation of 95.
We are asked to find the percentage of scores that were:
a) between 357 and 737.
b) above 737
c) below 452
d) between 452 and 737.
Solution
a) Between 357 and 737:
[tex]\begin{gathered} 357\text{ is 2 standard deviations less than the mean of 547. That is,} \\ 547-2(95)=357 \\ \text{This means that 357 is }\frac{95}{2}\text{ \% from the mean}=47.5\text{ \% from 547.} \\ \\ 737\text{ is 2 standard deviations greater than the mean of 547. That is,} \\ 737-2(95)=547. \\ \text{This means that 737 is }\frac{95}{2}\text{ \% from the mean }=47.5\text{ \% from 547} \\ \\ \text{Thus the range 'Between 357 and 737' is:} \\ (47.5+47.5)\text{ \%}=95\text{ \%} \end{gathered}[/tex]b) Above 737
[tex]\begin{gathered} 737\text{ is 2 standard deviations away from the mean as shown in question A.} \\ \text{Thus, the percentage of scores above 737 must be:} \\ 100\text{ \% - (50 + 47.5)\% }=2.5\text{ \%} \end{gathered}[/tex]c) Below 452:
[tex]\begin{gathered} 452\text{ is 1 standard deviation from the mean.} \\ \text{Thus the percentage of scores below 452 must be:} \\ 50\text{ \% - 34\% = 16\%} \end{gathered}[/tex]d) Between 452 and 737:
[tex]\begin{gathered} 452\text{ is 1 standard deviation lower than the mean 547. Thus, the percentage from 452 to 547 is 34\%} \\ 737\text{ is 2 standard deviations higher than the mean of 547. Thus the percentage from 547 to 737 is: 47.5\%} \\ \\ \text{Thus the percentage between 452 and 737 is: (34 + 47.5)\%= 81.5\%} \end{gathered}[/tex]Related Questions
How many pounds of N are in 2 tons of manure (4.8% N)?
Answers
Answer: 192 lbs
Total weight of manure = 2 tons
Step1: we need to converts tons to pounds
1 ton = 2000 lb
2 tons = x lb
Cross multiply
2 x 2000 = 1 * x
x = 2 x 2000
x = 4000 lbs
Therefore, 2 ton of manure = 4000 lbs of manure
We have 4.8% of N in the manure
Pounds of N = 4.8/100 x 4000
Pounds of N = 0.048 x 4000
Pounds of N = 192 lbs
The pounds of N in 2 tons of manure is 192 lbs
what’s the correct answer answer asap for brainlist
Answers
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
B: played by solo instrument with orchestral accompaniment.
What is the most precise name for quadrilateral ABCD with verticesA(-5, 7), B(6,-3), C(10, 2), and D(-1, 12)?A. rectangleB. rhombusC. squareD. parallelogram
Answers
Given that
The vertices of a quadrilateral are A(-5, 7), B(6,-3), C(10, 2), and D(-1, 12).
So we have to find the type of quadrilateral ABCD.
Explanation -
First, we have to find the length of each side AB, BC, CD, and DA.
We will use the distance formula to find the length of each side
[tex]\begin{gathered} T\text{he distance formula for point \lparen x}_1,y_1)\text{ and \lparen x}_2,y_2)\text{ is } \\ d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \end{gathered}[/tex]Now we will find the sides by substituting the value,
[tex]\begin{gathered} For\text{ AB,} \\ AB=\sqrt{(6-(-5))^2+(-3-7)^2} \\ \\ AB=\sqrt{(6+5)^2+(-10)^2}=\sqrt{11^2+10^2}=\sqrt{121+100}=\sqrt{221} \\ \\ AB=\sqrt{221}\text{ units} \end{gathered}[/tex][tex]\begin{gathered} For\text{ BC,} \\ BC=\sqrt{(10-6)^2+(2-(-3))^2} \\ BC=\sqrt{4^2+(2+3)^2} \\ BC=\sqrt{16+25}=\sqrt{41} \\ BC=\sqrt{41}\text{ }units \end{gathered}[/tex][tex]\begin{gathered} For\text{ CD} \\ CD=\sqrt{(-1-10)\placeholder{⬚}^2+(12-2)\placeholder{⬚}^2} \\ CD=\sqrt{(-11)^2+(10)^2} \\ CD=\sqrt{121+100} \\ CD=\sqrt{221}\text{ units} \end{gathered}[/tex][tex]\begin{gathered} For\text{ DA,} \\ DA=\sqrt{(-1-(-5))^2+(12-7)^2} \\ DA=\sqrt{(-1+5)^2+5^2} \\ DA=\sqrt{4^2+5^2}=\sqrt{16+25} \\ DA=\sqrt{41}\text{ units} \end{gathered}[/tex]So we found that the opposite sides are equal. So it can be a parallelogram or a rectangle.
Now, we will check the triangular part ABC, by applying Pythagoras' theorem.
[tex]\begin{gathered} In\text{ trianlge ABC, } \\ AC=\sqrt{(10-(-5))^2+(2-7)^2}=\sqrt{(10+5)^2+(-5)^2} \\ AC=\sqrt{15^2+5^2} \\ AC=\sqrt{225+25}=\sqrt{250} \\ Now\text{ using pythagoras theorem we have,} \\ AC^2=AB^2+BC^2 \\ \sqrt{250}^2=\sqrt{221}^2+\sqrt{41}^2 \\ 250=221+41 \\ 250\ne262 \end{gathered}[/tex]So it is a parallelogram. Then option D is correct.
Final answer -
The final answer is a parallelogram.what is the volume of the object in cubic centimeters? i think its 20, but i just want to double check to see if im right.
Answers
Given,
The measure of edge of the cube is 4 cm.
The total number of cubes are 5.
Required
The volume of the soid.
The volume of the solid is calculated as,
[tex]volume\text{ = side}\times side\times side[/tex]Substituting the values then,
[tex]\begin{gathered} Volume\text{ =4}\times4\times4 \\ =64\text{ cm}^3 \end{gathered}[/tex]The volume of the solid is,
[tex]\begin{gathered} Volume=5\times64 \\ =320\text{ cm}^3 \end{gathered}[/tex]Hence, the volume of the solid is 320 cm^3.
Are the proof and the identity valid? if not, what is the invalid step in the proofStep 1: x (9x+3) +3(x+3)=9x²+6x+9Step 2: =(3x+3)²Step 3: =(3(x+1))²Step 4: =9(x+1)²A) the proof is validB) step 2 is not validC) step 1 is not validD) step 3 is not valid
Answers
Are the proof and the identity valid? if not, what is the invalid step in the proof
Step 1: x (9x+3) +3(x+3)=9x²+6x+9
Step 2: =(3x+3)²
Step 3: =(3(x+1))²
Step 4: =9(x+1)²
A) the proof is valid
B) step 2 is not valid
C) step 1 is not valid
D) step 3 is not valid
Verify each step
step 1
x (9x+3) +3(x+3)
=9x^2+3x+3x+9
=9x^2+6x+9
step 1 is correct
step 2
Complete squares
9x^2+6x+9=0
Factor 9
9(x^2+6/9x)+9=0
9(x^2+2/3x)+9=0
9(x^2+2/3x+4/36-4/36)+9=0
9(x^2+2/3x+4/36)+9-1=0
9(x^2+2/3x+4/36)+8=0
9(x+2/6)^2=-8
therefore
step 2 is not valida cooler at picnic contain
Answers
we know that
the total cans are 100
number of cans of root beer=24
number of cans of orange soda=12
number of cans of cola=16
therefore
the probability is equal to
P=(24+12+16)/100
P=52/100
P=0.52 or P=52%
as fraction is 52/100=26/50=13/25
answer is 13/25A local Pet Shelter has 4 orange cats and 7 black cats. What is probability of selecting a black cat? Please enter your answer as a fraction.
Answers
The Solution:
Given:
We are asked to find the probability of selecting a black cat.
By formula,
[tex]Probability=\frac{number\text{ of required outcomes}}{total\text{ possible outcomes}}[/tex]Thus,
[tex]P(B)=\frac{number\text{ of black cats}}{total\text{ number of cats}}=\frac{7}{11}[/tex]Therefore, the correct answer is 7/11
3z - 8xyz + 4x^2y^2z please solve this
Answers
Answer:
z(3-8xy+4x^2y^2)
Cody's rent is increasing by $51 per month starting next year. That is an increase of 15% from his current rent. Let r represent Cody's current rent. Set up an equation and solve it to fibd the value of r.
Answers
Given :
Cody's rent is increasing by $51 per month starting next year.
That is an increase of 15% from his current rent.
Let the current rent = r
so, the increase = 15% of r = 0.15r
So, the equation that represent the situation is :
[tex]0.15\cdot r=51[/tex]Solve for r :
[tex]r=\frac{51}{0.15}=340[/tex]So, the current rent = $340
The rent for the next year = 340 + 51 = $391
Let f(-1)=16 and f(5) = -8Write the equation of the line in slope intercept form that passes throughthese two points
Answers
The rectangular floor of a classroom is 36 feet in length and 30 feet in width. A scale drawing of the floor has a length of 12 inches. What is the area, in square inches, of the floor in the scale drawing?
Answers
Answer:
120 square inches
Step-by-step explanation:
L = 36 feet
W = 30 feet
Scale:
l = 12 inches (1 foot)
w = 10 inches because 30/36 = 10/12..
10x12 inches = 120 square inches
5. Write the division problem as a
multiplication equation with a
missing factor. The find the quotient.
2.1 /0.7
Answers
The quotient in this division problem is 3,4.
What is division problem?
There are three main parts to a division problem that are -the dividend, the divisor, and the quotient. The dividend is the number that will be the divided. The division is the number of (people )that the the number is being divided by among And The quotient is the answer.
a division is a process of a splitting a specific of amount into the equal parts.
Sol-
The formula is -
a/b=?
b×?=a
We can write a division statement as a multiplication statment
12/4=3
4×3=12
Thus
The quotients in this division problem are 3 and 4.
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The first aircraft has 65 more seats than the second aircraft. The third aircraft has 41 fewer seat than the second aircraft. If their total number of seats is 402, find the number of seats for each aircraft.
Answers
Solution:
Let A be the first aircraft
Let B be the second aircraft
Let C be the third aircraft
Here is the information that is given in the question:
The first aircraft has 65 more seats than the second aircraft:
A = B + 65
The third aircraft has 41 fewer seats than the second aircraft
C = B - 41
their total number of seats is 402
A + B + C = 402
Now substitute the values in the 1st and 2nd equations into the 3rd.
(B+65) + B + (B-41) = 402
this is equivalent to:
3B + (65-41) = 402
this is equivalent to:
3B + 24 = 402
this is equivalent to:
3B = 402 - 24 = 378
solving for B, we get:
[tex]B\text{ = }\frac{378}{3}=126[/tex]We can conclude that the correct answer is:
first aircraft A:
A = B + 65 = 126 + 65 = 191
that is:
A = 191
second aircraft:
B = 126
third aircraft:
C = B - 41 = 126 - 41 = 85
that is:
C = 85
Calculate the population growth rate for Brazil:
r = (CBR + Immi) - (CDR + Emigr)
CBR = 2.6%, Immi = 2%, CDR = 2.3%,
Emig = 2%
(Portions of the numeric data are factual.)
Answers
0.3% is the population growth rate for Brazil.
How to find the population growth rate?CBR = 2.6%
Immi = 2%
CDR = 2.3%
Emig = 2%
Solution:
r = (CBR + Immi) - (CDR + Emigr)
r = (2.6 + 2) - (2.3 + 2)
r = 4.6 - 4.3
r = 0.3%
0.3% is the population growth rate for Brazil.
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There are eight turtles 15 fish and 17 pelicans what percent of the animals are pelicans
Answers
The number of animals are given as;
[tex]\begin{gathered} \text{Turtles}=8 \\ \text{Fish}=15 \\ \text{Pelicans}=17 \\ \text{Total animals}=40 \end{gathered}[/tex]The percentage that are pelicans would be calculated as follows;
[tex]\begin{gathered} \text{Percentage Pelicans}=\frac{17}{40}\times\frac{100}{1} \\ \text{Percentage Pelicans}=\frac{1700}{40} \\ P\text{ercentage Pelicans}=42.5\text{ } \end{gathered}[/tex]ANSWER:
The percentage of the animals that are Pelicans is 42.5%
HELP ASP show your work!!
Answers
The minimum number of friends for which Jump it Up is 7
A two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on each other (often y and x) (usually x).
Sky high pricing:
$50 for <=10 people and $5 per person after that
Jump it Up pricing:
Set up charges = $70
Per person charges = $2
Let p be the number of people
Formulating the equation we get:
50 + 5p = 70 + 2p
3p = 20
p = 6.66
or p =7
So, Jump it up will be less expensive for 7 friends
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Which of the following statements is true about the graph shown?
The equation y = 4.5x is correctly represented by the graph.
The graph is incorrect and the line should go through the point (3, 13.5).
The graph is incorrect and the line should go through the point (4.5, 4.5).
The graph does not show a proportional relationship.
Answers
Answer:
B. The graph is incorrect and the line should go through the point (3, 13.5)
Step-by-step explanation:
The equation is y = 4.5x
y = the y-axis/dependent variable
x = the x-axis/independent variable
4.5 x 1 = 4.5
4.5 x 2 = 9
4.5 x 3 = 13.5
Therefore the written ordered pairs would look like this.
(1, 4.5)
(2, 9)
(3, 13.5)
In the graph, (3, 13.5) is graphed as (13.5, 3) making the graph incorrect.
The statement which is true about the graph shown is that: the graph is incorrect and the line should go through the point (3, 13.5).
How to interpret the graph?Generally speaking, the graph of any linear function is always modeled by a straight line and it indicates a proportional relationship because it starts from the origin (0, 0).
Mathematically, a proportional relationship can be represented or modeled by the following linear equation:
y = kx
Where:
k represents the constant of proportionality.x and y represents the data points, variables, or coordinates.At data point (4.5, 4.5), we have:
y = 4.5x
y = 4.5(4.5)
y = 20.25 (incorrect).
At data point (3, 13.5), we have:
y = 4.5x
y = 4.5(3)
y = 13.35 (correct).
Therefore, we can logically deduce that this graph is incorrect because its line didn't pass through the data point (3, 13.5).
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Triangle ABC is shown in this figure. 2 A B Which statement justifies that the sum of Angle 1 and Angle 2 is 180°? O All adjacent angles are supplementary. O Adjacent angles that form a linear pair are supplementary. O The sum of any interior and any exterior angle of a triangle is 180° 0 Each pair of interior and exterior angles that lie on a line is complementary
Answers
The answer is Adjacent angles that form a linear pair are supplementary.
Does this work show that 8 is a solution to the equation s-3=11 and how?
Answers
Given -
s - 3 = 11
To Find -
Is s = 8 a solution or not?
Step-by-Step Explanation -
on Putting s = 8 in the above equation
8 - 3 = 11
5 = 11
Which is not true as 5 ≠ 11
Final Answer -
Option (D)
No, Because the last line of the work is not true. 5 and 11 are not equal
=MATHEMATICAL READINESSSummation of indexed dataThe following is a list of 14 measurements.38. -82. 19. 84. -37.93.-31, -73, -50.-65.-31. -85, -48Suppose that these 14 measurements are respectively laSum of Xi/ 50 with i going from 1 to 14Round your answer to at least two decimal places.
Answers
In order to calculate the sum we need to iterate over the "xi" variable going from 1 to 14 and adding all the data.
[tex]\begin{gathered} \sum ^{\infty}_{n\mathop=1}\frac{x_i}{50}\text{ = }\frac{38\text{ - 82}+19+84-37.93-31-73-50-65-31-85-48}{50} \\ \sum ^{\infty}_{n\mathop{=}1}\frac{x_i}{50}\text{ = }\frac{-361.93}{50}\text{ = -7}.2386 \end{gathered}[/tex]The answer is approximately -7.24.
6 3 2 1 -6 -5 4 22 10 2 3 6 13 What kind of transformation does the graph show? A) flip B) rotation 9 slide D) translation
Answers
Student did not provided any picture and became unresponsive.
Explain how to undo pemdas with this equation and find answer
Answers
Given that Sarah spent half of her weekly allowance.
She earns $4.70 for washing dogs.
The final amount is $ 13.50.
Let x be the weekly allowance.
She spent half of her allowance so she has half of the allowance.
[tex]\frac{x}{2}[/tex]She earns $ 4.70, add this to her half of the allowance.
[tex]\frac{x}{2}+4.70[/tex]This is equal to 13.50.
[tex]\frac{x}{2}+4.70=13.50[/tex]Subtracting 4.70 from both sides, we get
[tex]\frac{x}{2}+4.70-4.70=13.50-4.70[/tex][tex]\frac{x}{2}=8.80[/tex]Multiplying 2 on both sides, we get
[tex]\frac{x}{2}\times2=8.80\times2[/tex][tex]x=17.60[/tex]Hence Sarah's weekly allowance is $ 17.60.
Question content area top
Part 1
A box of cereal states that there are calories in a
-cup serving. What is the unit rate for calories per cup? How many calories are there in of the cereal?
Answers
The unit rate for calories per cup is 100 calories per cup.
There is 400 calories in 4 cup of cereal.
Given,
The amount of calories in 3/4 of the cup = 75 calories
We have to find the unit rate of calories per cup.That is,
Unit rate of calories = 75 / (3/4)
Unit rate of calories = 75 × (4/3)
Unit rate of calories = 25 × 4
Unit rate of calories = 100
There are 100 calories in a cup of cereals.
Now,
We have to find the calories in 4 cup of cereals.Calories in 4 cup = Calories in one cup × 4
Calories in 4 cup = 100 × 4
Calories in 4 cup = 400
So,
There are 400 calories in 4 cup of cereals.
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1/6 of a number r decreased by 24 what is the algebraic expression
Answers
Which expression is equivalent to the following complex fraction?3.4X-12x-2-X-12(x-2)O-4x+7-4x+72(x-2)-4x+72(x2-2)21x2 - 2)-4x+7
Answers
Solution
For this case we can do the following:
[tex]\frac{3}{x-1}-4=\frac{3-4x+4}{x-1}[/tex][tex]2-\frac{2}{x-1}=\frac{2(x-1)-2}{x-1}[/tex]And if we simplify we got:
[tex]\frac{3-4x+4}{2(x-1)-2}=\frac{7-4x}{2x-2-2}=\frac{7-4x}{2x-4}=\frac{-4x+7}{2(x-2)}[/tex]Final answer would be:
-4x+7 /( 2(x-2))
November 1 Accepted a $4,000, 180-day, 6% note from Kelly White in granting a time extension on her past-due account receivable. December 31Adjusted the year-end accounts for the accrued interest earned on the White note. April 30White honored her note when presented for payment. Complete the table to calculate the interest amounts on December 31st and April 30th and use those calculated values to prepare your journal entries.
Answers
The interest amounts on December 31st and April 30th are $100, $33, and $67. Also, the journal entries are mentioned below.
What are Journal entries?A journal entry is an act of recording any transaction, whether one is economic or not.An accounting diary that displays the debit and credit balances of a corporation lists transactions. Multiple recordings, each of which is either a debit or a credit, may be included in the journal entry.The amount of the debits and credits must be equal in order for the journal entry to be declared balanced.Depreciation or bond amortization are examples of recurring items that can be recorded in journal entries.Accounts payable normally has its own sub-ledger that indirectly impacts the general ledger, and journal entries are frequently filed using a different module in accounting software.The Computation of the interest amount is shown below:-
Particulars Total through Through maturity Through maturity
Maturity Dec 31 Apr 30
Principal $4,000 $4,000 $4,000
Rate 5% 5% 5%
Time 180 ÷ 360 60 ÷ 360 120 ÷ 360
Total interest $100 $33 $67
2. The Journal entries are shown below:-
a. Notes receivable Dr, $4,000
To accounts receivable $4,000
(Being issuance of notes is recorded)
b. Interest receivable Dr, $33
To Interest revenue $33
(Being interest revenue is recorded)
c. Cash Dr, $4,100
To Notes receivable $4,000
To Interest revenue $67
To Interest receivable $33
(Being cash received is recorded)
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what is 2 2/5 - 3 1/2
Answers
I want a line with equation y=mx+9 to pass through the point (10,10). What is m?
please please help
Answers
Answer:
y = 0.1x + 9Step-by-step explanation:
Given
Line y = mx + 9,Point (10 , 10).To find the slope plug in the coordinates of the given point, x = 10 and y = 10 and solve for m:
10 = 10m + 910m = 10 - 910m = 1m = 1/10m = 0.1The line is:
y = 0.1x + 9ASAP PLEASE HURRY
What is the value of q − 8 if q = −18?
A. 26
B. -26
C. 10
D. -10
Answers
Answer:
-26
Step-by-step explanation:
Q = -18
-18 - 8
-26
Hope this helps! :)
6. A grocery store sells bags of oranges in two different sizes.
The 3-pound bags of oranges cost $4.
The 8-pound bags of oranges for $9.
Which oranges cost less per pound? Explain or show your reasoning.
(From Unit 2, Lesson 10.).
Answers
Explanation:
4/3= 1.33 pounds per bag
9/8 = 1.125 pounds per bag