A placement test is administered to collegiate freshmen. The test is known to be approximately normal with a mean of 65 and a standard deviation of 5. Sheila scored a 59 on this test. Does this score place Sheila in the bottom 10% of test takers?
Answers
Answer: D. She is above 11.5% of test takers
Step-by-step explanation:
So logically we can eliminate like 3 answers and let me explain why
So first we can eliminate both A and B because the question asks "Does this score place Sheila in the bottom 10% of test takers?" If the answer were yes she wouldn't be "above 8.5%" or "above 11.5%" because she would be below.
So that would leave both C and D right. Lets look at C first. It says "No, she is above 8.5% of test takers" But if she is above 8.5% she could hypothetically be in the 9% or the 9.5% of test takers. Since this answer doesn't gurantee she would be above 10% we can't choose it. Now D it says "No, she is above 11.5% of test takers" This is correct because She is not in the bottom 10% because according to the empirical rule she is I would say around or just under 16% of test takers. Also the 11.5% part gurantees that anything above the number 11.5 is greater than 10%. Unlike in C which only says the number is greater than 8.5 which means the number could be 8.6 which is NOT greater than 10.
Related Questions
Can someone help me solve this triangle please?
Answers
Tickets to a play cost $10 at the door and $8 in advance. The theatre club wants to raise at least $800 from the sale of the tickets from the play.
Write an inequality for the number of tickets the theatre club needs to sell.
If the club sells 40 tickets in advance, how many does it need to sell at the door to reach its goal?
Use x to represent the number of tickets sold at the door. Use y to represent the number of tickets sold in advance.
Answers
Answer:
Hi
Step-by-step explanation:
I BET NO ONE KNOWS THIS y varies jointly as x and z. y=20 when x=2 and z=5 . Find y when x=3 and z=6
Answers
Hello!
If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.
To give you a visual, this is what I mean.
[tex]y=kxz[/tex]
That means we'll want to find [tex]k[/tex] with the first point we're given: [tex](2,20,5)[/tex]
[tex]20=k(2)(5)[/tex]
[tex]20=10k[/tex]
[tex]k=2[/tex]
Which means our equation is:
[tex]y=2xz[/tex]
Now, let's plug in the [tex]x[/tex] and [tex]z[/tex] from the other point to find [tex]y[/tex].
[tex]y=2(3)(6)[/tex]
[tex]y=36[/tex]
Hope this helps!
Answer:
Hello!
If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.
To give you a visual, this is what I mean.
That means we'll want to find with the first point we're given:
Which means our equation is:
Now, let's plug in the and from the other point to find .
Step-by-step explanation:
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 258 rounds. At what rate has Ashley ridden her horse in rounds per hour?
A.
43 rounds per hour
B.
44 rounds per hour
C.
45 rounds per hour
D.
42 rounds per hour
Answers
Explanation:
Divid 258 by 6
please help me i suck at math
Answers
37000 + 37000\(0.09)
is the answer.
what is the answer???
Answers
Answer:
a. Rectangle
Step-by-step explanation:
The given figure is a rectangle prism. If one takes the cross-section of a rectangular prism, one will get a rectangle.
How do you find the NUMBER OF SIDES from an angles sum of an IRREGULAR POLYGON?
Answers
Answer:
all the sides and corners have lengths may i have brainly
Step-by-step explanation:
A rectangular dance floor has an area of 96 square feet and a length of 8 feet.
What is the width of the dance floor?
Enter your answer in the box
Answers
Answer:
12 is the width
Step-by-step explanation:
1. To solve this problem we must first set up an equation:
96a=8l ×?w
2. this is what this equation means 96(area) equals 8(length) times what(width)
3. so we must find out what we must multiply by 8 to get 96
4. to do this we will divide 96 by 8
which equals 12!
i need to find x, they're vertical angles
Answers
Answer:
x = 16
Step-by-step explanation:
vertical angles are equal
3x = 2x+16
x = 16
Answer: x = 16
Step-by-step explanation:
Since they are vertical angles, we can set them up equal to each other:
3x = 2x + 16
Now, we simply solve for x by subtracting 2x on both sides of the equation.
3x = 2x + 16
x = 16
If P=(2,-1),find the image of P under the following rotation. 180 degrees counterclockwise about the origin
Answers
9514 1404 393
Answer:
(-2, 1)
Step-by-step explanation:
Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.
(x, y) ⇒ (-x, -y) . . . . . rotation 180°
(2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P
The coordinates of the rotated point are (-2, 1).
Six friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?
Answers
Answer:
1/3 of the pumpkin pie
Step-by-step explanation:
2 pies can equal 6 pieces, 3 pieces a pie
If their are 6 friends and 3 pieces a pie then then they will have a 1/3 of the pie each
1/3 times 6 equals 6/3, which equals 2 pies
What is the length of arc S shown below?
Enter an exact expression.
SA
21
MY
S
4
2 cm
Pro
PO
The angle in the figure is a central angle in radians.
Answers
Answer: pi/2
Step-by-step explanation:
DONTBANSWERBIF DONT KNOW PLEASE solve this system by ELIMINATION. show all of your work
2x+3y= -11
8x -2y= -2
Answers
Answer:
x = -1 and y = -3
Step-by-step explanation:
The given equations are :
2x+3y= -11 ...(1)
8x -2y= -2 ...(2)
We need to solve the equations.
Multiply equation (1) by 4.
8x+12y= -44 ...(3)
Subtract equation (2) from (3).
8x+12y-(8x -2y) = -44-(-2)
8x+12y-8x +2y = -42
14y = -42
y = -3
Put the value of y in equation (2).
8x -2(-3)= -2
8x+6 = -2
8x = -8
x = -1
So, the values of x and y are -1 and -3 respectively.
The guest at a party shared five pies equally in each person get 1/8 of a pie how many guest were at the party?
Answers
Answer: 40 people
Step-by-step explanation:
There were 5 pies in the party and each person that came got an equal share of 1/8.
The number of people who were there is therefore:
= Number of pies / Share each person got
= 5 ÷ 1/8
= 5 * 8/1
= 40 people
Monica has this recipe for fruit salad. 2 1/2 cups of pers, 2/3 cups of grapes, 1 1/4 cups of apples, and 1/2 of orange slices. How many cups for fruit is it in total?
Answers
Answer:
[tex]3\frac{11}{12}[/tex] cups
Step-by-step explanation:
[tex]2\frac{1}{2} = \frac{5}{2}[/tex] of pears
[tex]\frac{2}{3}[/tex] of grapes
[tex]\frac{1}{4}[/tex] of apples
[tex]\frac{1}{2}[/tex] of orange
when adding fractions, make sure all denominators are the same:
[tex]\frac{5}{2} = \frac{30}{12}[/tex] of pears
[tex]\frac{2}{3} = \frac{8}{12}[/tex] of grapes
[tex]\frac{1}{4} = \frac{3}{12}[/tex] of apples
[tex]\frac{1}{2} = \frac{6}{12}[/tex] of orange
add all of the fractions:
[tex]\frac{30}{12} + \frac{8}{12} + \frac{3}{12} + \frac{6}{12} = \frac{47}{12}[/tex]
convert to mixed fraction:
[tex]\frac{47}{12} = 3\frac{11}{12}[/tex]
Look at the other guys
Do you solve for area
Answers
Answer:
I need a picture or something else so that I can help you!
Step-by-step explanation:
Smart people don't have to say "I'm smart" b/c they already know!
So you can post another question and I can help you!
If 48X^2,64x^4 ,x 36x^2 are in proportion , find the value of x
Answers
Answer:
The value of x = 27
Step-by-step explanation:
Given:
48x² : 64x⁴ ::: x : 36x²
Find:
The value of x
Computation:
(a)(d) = (b)(c)
(48x²)(36x²) = (64x⁴)(x)
(1,728x⁴) = (64x⁵)
x = 27
The value of x = 27
Following are the solution to the given expression:
Given:
[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]
To Find:
x=?
Solution:
[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]
[tex]\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\[/tex]
cross multiply:
[tex]\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27[/tex]
Therefore, the answer is "27".
Learn more:
brainly.com/question/12149603
Which expression is equivalent to 2 (a + 2 b) minus a minus 2 b? 3 a + 2 b 3 a minus 2 b a minus 2 b a + 2 b
Answers
Answer:
a + 2b
Step-by-step explanation:
Given the expression
2(a+2b) - a-2b
Open the bracket
2a+(2)2b- a-2b
2a+4b - a-2b
Collect the like terms
2a-a+4b-2b
a + 2b
Hence the equivalent expression is a + 2b
Answer:
d
Step-by-step explanation:
Kiara said the line with equation 28x - y = -20 has a slope of 28. . What mistake did Kiara make?
Answers
Therefore, the mistake Kiara made was to take the absolute value of the slope instead of correctly identifying the slope as a negative value.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc. Equations can have different types of solutions, including real solutions, complex solutions, and no solutions. Equations can be used to model a wide range of mathematical and scientific problems, and they are an essential tool for problem-solving in many fields.
Here,
The equation 28x - y = -20 is in the form of the standard linear equation Ax + By = C, where A, B, and C are constants, and x and y are variables.
To find the slope of a line from an equation in this form, we need to rearrange the equation into slope-intercept form, which has the form y =mx + b, where m is the slope of the line, and b is the y-intercept.
To do this, we need to isolate y on one side of the equation:
28x - y = -20
-y = -28x - 20
y = 28x + 20
Now we can see that the equation is in slope-intercept form, with a slope of 28, not -28 as Kiara thought.
Kiara made a mistake in identifying the slope of the line.
To know more about equation,
https://brainly.com/question/649785
#SPJ1
Select all the rates that correspond to a unit rate of $6 per sandwich. You must select all correct responses to receive credit.
a
spending $42 to buy 6 sandwiches
b
spending $42 to buy 7 sandwiches
c
spending $108 to buy 18 sandwiches
d
spending $40 to buy 5 sandwiches
e
spending $96 to buy 16 sandwiche
Answers
Answer:
B, C, and E
Step-by-step explanation:
A. 42/6 = 7 Not correct
B. 42/7 = 6 Correct
C. 108/18 = 6 Correct
D. 40/5 = 8 Not correct
E. 96/16 = 6 Correct
what are the x-intercepts of the parabola? y=-3(x+5)(x-9)
Answers
Answer:
-5 and 9
Step-by-step explanation:
Graph the equation on a graph.
You can also simplify the equation into y=mx+b form and then graph:
y=-3(x+5)(x-9)
y=(-3x-15)(x-9)
y=-3x^2+27x-15x+135
y=-3x^2+12x+135
18 percent of people in a city eligible to donate blood actually do. You randomly select four eligible blood donors and ask them if they donate blood. Complete parts (a) through (d) below.
Answers
Answer:
[tex]P(x = 1) = 0.3970[/tex]
[tex]P(x = 2) = 0.1307[/tex]
[tex]P(x = 3) = 0.0191[/tex]
[tex]P(x = 4) = 0.0011[/tex]
Step-by-step explanation:
Given
[tex]n =4[/tex]
[tex]p = 0.18[/tex]
Required
(a) - (d)
x | P(x)
0 | 0.452
1 |
2 |
3 |
4 |
To solve (a) to (d), we simply apply the following binomial probability formula
[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]
Solving (a):
[tex]x = 1[/tex]
So, we have:
[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]
[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]
[tex]P(x = 1) = 4 * (0.18)^1 * (1-0.18)^3[/tex]
[tex]P(x = 1) = 0.3970[/tex]
Solving (b):
[tex]x = 2[/tex]
So, we have:
[tex]P(x = 2) = ^4C_2 * (0.18)^2 * (1-0.18)^{4-2}[/tex]
[tex]P(x = 2) = 6 * (0.18)^2 * (1-0.18)^2[/tex]
[tex]P(x = 2) = 0.1307[/tex]
Solving (c):
[tex]x = 3[/tex]
So, we have:
[tex]P(x = 3) = ^4C_3 * (0.18)^3 * (1-0.18)^{4-3}[/tex]
[tex]P(x = 3) = 4 * (0.18)^3 * (1-0.18)^1[/tex]
[tex]P(x = 3) = 0.0191[/tex]
Solving (d)
[tex]x = 4[/tex]
So, we have:
[tex]P(x = 4) = ^4C_4 * (0.18)^4 * (1 - 0.18)^{4-4}[/tex]
[tex]P(x = 4) = 1 * (0.18)^4 * (1 - 0.18)^0[/tex]
[tex]P(x = 4) = 0.0011[/tex]
After 32 years from now a boy will be 5 times as old as he was 8 years back.How old is the boy now?
Answers
Answer:
18 years
Step-by-step explanation:
Transforming the question in form of equation:
Let x be the current age.
x + 32 = 5(x-8)
x + 32 = 5x - 40
5x - x = 40 + 32
4x = 72
x = 18
Answer: look at this! He’s 18
Step-by-step explanation:
equation = x+32=5(x-8)
X+32=5x-40
5x-x=32+40
4x=72
X=72/4
=18
What is 1- (58%+3%) expressed in percent form
Answers
Answer:
39/100 or 39%
Step-by-step explanation:
1−(58/100+3/1000)
=39/100.
39%
Help I need this fast!
Answers
Answer: curve 60 angle 90
Step-by-step explanation:
Donna is putting money into a savings account. She starts with $450 in the savings account, and each week she adds $70.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Donna has been adding money. Write
an equation relating to W. Then use this equation to find the total amount of money in the savings account after 14 weeks.
Answers
Answer:
1430
Step-by-step explanation:
S=450+70T
S= 450 + 70(14)
S=450+980
S=1430
136 oz is how many pounds
A.6.8 pounds
B.8.5 pounds
C.1088 pounds
D.2,176 pounds
Answers
Answer:
B 8.5 Pounds
Step-by-step explanation:
I hope this helps!
Answer: 8.5
Step-by-step explanation:
16 ounces is a pound
so we divide 136 by 16 and get 8.5
simplify 4(q + 7) + 2
Answers
Answer:
The answer to this problem is 4q+30
4q+28+2
Then you would simplify from here, and get;
4q+30
^^^ This is the final and correct answer.
A coin is tossed and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube shows an even number?
Answers
Answer:
2:6
Step-by-step explanation:
ℎ ℎ ℎ ℎ ℎ 2
6
please help asap, thanks !
Answers
Answer:
A) P = DA/V
Step-by-step explanation:
D = PV/A
DA = PV
DA/V = P