Answer:
(a) The percentage of the scores were less than 59% is 16%.
(b) The percentage of the scores were over 83% is 2%.
(c) The number of students who received a score over 75% is 26.
Step-by-step explanation:
Let the random variable X represent the scores on a Psychology exam.
The random variable X follows a Normal distribution with mean, μ = 67 and standard deviation, σ = 8.
Assume that the maximum score is 100.
(a)
Compute the probability of the scores that were less than 59% as follows:
[tex]P(X<59)=P(\frac{X-\mu}{\sigma}<\frac{59-67}{8})[/tex]
[tex]=P(Z<-1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.16[/tex]
*Use a z-table.
Thus, the percentage of the scores were less than 59% is 16%.
(b)
Compute the probability of the scores that were over 83% as follows:
[tex]P(X>83)=P(\frac{X-\mu}{\sigma}>\frac{83-67}{8})[/tex]
[tex]=P(Z>2)\\\\=1-P(Z<2)\\\\=1-0.97725\\\\=0.02275\\\\\approx 0.02[/tex]
*Use a z-table.
Thus, the percentage of the scores were over 83% is 2%.
(c)
It is provided n = 160 students took the exam.
Compute the probability of the scores that were over 75% as follows:
[tex]P(X>75)=P(\frac{X-\mu}{\sigma}>\frac{75-67}{8})[/tex]
[tex]=P(Z>1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.16[/tex]
The percentage of students who received a score over 75% is 16%.
Compute the number of students who received a score over 75% as follows:
[tex]\text{Number of Students}=0.16\times 160=25.6\approx 26[/tex]
Thus, the number of students who received a score over 75% is 26.
Alana has 100 mL of water in her water bottle. She needs to share it with 3 other students so that all 4 of them have the same amount. How much should each student have?
Answer:
each person (including Alana) gets 25mL of water
Step-by-step explanation:
since there is 4 ppl, and 100mL of water, you divide 100/4. Therefore, each person gets 25mL of water:)
Answer:
each person (including Alana) gets 25mL of water
Step-by-step explanation:
since there is 4 pepol, and 100mL of water, you divide 100/4. Therefore, each person gets 25mL of water
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
Answer:
(10, 14)
Step-by-step explanation:
To solve this system let's use substitution:
Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:
3(24 - y) + 5y = 100
Performing the indicated multiplication, we get:
72 - 3y + 5y = 100
Combining like terms results in 72 - 100 = -2y, or -28 = -2y
Thus, y must be 14.
If y = 14, then the first equation tells us that x = 10.
Check: Is this true? 3(10) + 5(14) = 100 YES
The solution is (10, 14).
What was it about the questions on the best that you were supposed to compare to this solution?
Answer:
B. The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
Assuming that this is the one on edge, it should be this answer!
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm
Answer:1,3,5,7,
Step-by-step explanation:
When you are dilating the perimeter grows by the scale factor, and when you are dilating the area, it grows by the scale factor squared(16).
Answer:
1,3,6,7
Step-by-step explanation:
Edgy 2022
mutually exclusive..
Answer:
there are no answer choices
Step-by-step explanation:
sorry can't help
One teacher wants to give each student 10/9 slices of pizza. If the teacher has 20 slices of pizza, then how many students will she be able to hand out pizza to?
Answer:
18 students
Step-by-step explanation:
This is a division problem.
20 divided by 10/9
20/(10/9) =
= 20/1 * 9/10
= 180/10
= 18
Simplify the given expression. 2x^2-2/x/2(x^2+9)/16x^2-29x
Answer:
work is shown and pictured
Simplify the radical expression
Answer:
[tex] x \: \sqrt[5]{ {y}^{5} } [/tex]
Step-by-step explanation:
[tex] \sqrt[5]{ {x}^{5} {y}^{5} } \\ \\ = ({x}^{5} )^{ \frac{1}{5} } \sqrt[5]{ {y}^{5} } \\ \\ = {x}^{5 \times \frac{1}{5} } \times \sqrt[5]{ {y}^{5} } \\ \\ = x \: \sqrt[5]{ {y}^{5} } [/tex]
I WILL GIVE BRAINLIEST TO BEST EXPLANATION!! How many 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by 6?
Answer:
There are 360 such numbers.
Step-by-step explanation:
The number of 6-digit numbers, formed using each digit from 1 to 6 excactly once, means we can have numbers like
123456, 123465, 123546,123564,.... 654321
The number of such numbers is given by 6! because we have a choice of 6 numbers for the first digit, 5 left for the next, ... until the last digit has only one choice.
6! = 6*5*4*3*2*1 = 720
We know that 1+2+3+4+5+6 = 21 is divisible by three, so all 720 numbers are divisible by 3.
However, to be divisible by six, we need a number divisible by three AND divisible by two.
Thus, out of the 720 numbers, we need count only the even numbers, which are exact half of the 720, or 360.
Therefore there are 360 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by 6.
Answer:
360 numbers
Step-by-step explanation:
6-digit numbers => the numbers have the form abcdef
f 3 values, f = {2; 4; 6}
a 5 values; b 4 values, c 3 values, d 2 values, e one value,
=> 5 * 4 * 3 * 2 * 1 * 3 = 360 numbers
PLEASE ANSWER ASAP I WILL MARK BRAINLY
Answer:
multiplication property of equality
Step-by-step explanation:
Since we are multiplying by the same amount on each side, we are using the multiplication property of equality
Answer: Multiplication Property of Equality
Step-by-step explanation:
This property states that while simplifying an expression, you can multiply both sides of the equation by any number, and it will stay true. This property is useful here, because multiplying a fraction by its reciprocal = 1, so the expression would become 1x=-128.
Hope it helps <3
WILL AWARD BRAINLIEST
HELP FAST !
Statements
Reasons
A
DE || AB
Given
CDES
E
B
CED
Given: DE || AB
Prove: AABC-
ДАВС N
I’m
Answer:
ΔABC ~ ΔDEC
Step-by-step explanation:
Given : DE║AB
Statements Reasons
1). DE║AB 1). Given
2). ∠CDE ≅ ∠CAB 2). Corresponding angles
[Since DE║AB and AC is the transverse]
3). ∠CED ≅ ∠CBA 3). Corresponding angles
[Since DE║AB and BC is the transverse]
4). ΔABC ~ ΔDEC 4). By AA property of similarity
Hence ΔABC is similar to ΔDEC.
50 people took a driving test. 18 of the 50 people are women. One quarter of the men failed the driving test. The number of men who passed the driving test was 8 more than the number of women who passed the test. A person is chosen at random. What is the probability that they passed the driving test? Write your answer as a decimal.
Answer:
Step-by-step explanation:
No. of people who took the test = 50
No. of women who took the test = 18
Therefore, no. of men who took the test = 50 - 18 = 32
No. of men who did not pass the test = 1/4 × 32 = 8
No. of men who passed = 32 - 8 =24
The no. of men who passed is 8 more than the no. of women who passed Therefore, the no. of women who passed = 24 - 8 = 16
No. of women who failed = 18 - 16 = 2
Total no. of people who passed = 24 + 16 = 40
Total no. of people that didnt pass = 2 + 8 = 10
Therefore probability that they passed = 50/40 = 1.25
Hope this help : ) . Have a nice day !
Answer: The probability is 0.8
Step-by-step explanation:
Total who took the test = 50
Women who took the test = 18
50 - 18 = 32 is the number of men
32/4 = 8 men who did not pass
Men who passed = 32 - 8 =24
To find the number of women who passed : 24 - 8 = 16
Total of people who passed = 24 + 16 = 40
Number who passed out of total people = 40/50 Converted ro decimal: 0.8
So the probability of randomly selecting a person who passed is 0.8
Consider the system of equations given in slope-intercept form. y = −13x + 17, y = 5x - 23 The solution seems to be about (8, 14). Use the graphing calculator to find the exact values for the intersection point. What is the solution to this system of equations?
Answer:
The exact solution for this equation would be (2.222, -11.889)
Step-by-step explanation:
Since it told us to use a graphing calculator, I went on to desmos graphing calculator, typed in the equation, then I found out where the two line intersect, and then that was the answer.
Answer:
Consider the system of equations given in slope-intercept form.
y = −1
3
x + 17,
y = 5x - 23
The solution seems to be about (8, 14). Use the graphing calculator to find the exact values for the intersection point. What is the solution to this system of equations?
(7.5, 14.5)
Step-by-step explanation:
edge 2020
Using the equation y = 2x + 5 , what would the input need to be for an output of -45?
a. -20
b. -25
c. -85
d. -95
Answer:
-25
Step-by-step explanation:
Essentially, y is your output and x is your input.
Here's your base equation: y = 2x + 5
Knowing the information above, let's plug it in:
-45 = 2x + 5
(Subtract 5 from both sides)
-50 = 2x
(Divide both sides by 2 to isolate x)
-25 = x
And there you go.
Answer:
input is -25
Step-by-step explanation:
y = 2x + 5
The output is -45 which is y
-45 = 2x + 5
Subtract 5 from each side
-45-5 = 2x
-50 = 2x
Divide each side by 2
-50/2 = 2x/2
-25 = x
Please help ASAP
These dogs show hourly earnings for a sample of workers in two different careers
It can be understood from below that Option A for Spread and Option D for Center is the correct answer.
What is Center and Spread ?Center describes a typical value of a data point. Two measures of center are mean and median.
Spread describes the variation of the data. Two measures of spread are range and standard deviation.
In the graph we can see that the hourly earnings are more spread out in Career B and
Career B has greater median hourly earnings than Career A.
Therefore Option A for Spread and Option D for Center is the correct answer.
To know more about Center and Spread
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Answer:
A and D
Step-by-step explanation:
17. A gardener is installing a fence around his garden. Let x represent the width of
the garden, in feet. The perimeter of the graden is 8x + 8. Which expression
represents the length of the garden?
a. 2x + 2
b. 3x +4
c. 6x + 8
d. 8x + 8 - 2x
Hey there!
Answer:
B. 3x + 4 ft.
Step-by-step explanation:
Remember that:
Perimeter of a rectangle: P = 2l + 2w
Given:
P = 8x + 8
w = x.
Plug the given information into the equation:
8x + 8 = 2l + 2x
Subtract 2x from both sides:
6x + 8 = 2l
Divide both sides by 2:
(6x + 8)/2 = 2l/2
3x + 4 = l.
Therefore, the length of the garden is:
l = 3x + 4 ft.
here are some numbers: 8, 11, 13, 18, 25, 37 8, 13 , 18 is an arithmetic progression and the rule is to add 5 use three of the numbers to make a different arithmetic progression Describe the rule
Answer:
Progression: 11, 18, 25
Rule: Add 7
Step-by-step explanation:
Given
List of numbers: 8, 11, 13, 18, 25, 37
Sample Progression: 8, 13, 18; with common difference of 5
Required
Form a different progression using any three listed numbers
To solve this; we'll make use of trial and error methods;
NB: I've tried several numbers; So, I'll just stick to the one that works
To start with;
Select ->11
Add 7 to 11: 11 + 7 - > 18
Add 7 to 18: 18 + 7 -> 25
With the above illustration, we've successfully used three numbers (11, 18 and 25) to form a new progression and the rule is to add 7
What are the x-intercepts of the parabola?
graph of parabola falling from the left, passing through 3 comma 2 to about 4 and one half comma negative one fourth, and rising to the right, passing through 6 comma 2
(4.5, 0) and (5, 0)
(0, 4.5) and (0, 5)
(0, 5) and (0, 4)
(5, 0) and (4, 0)
Answer:
(5, 0) and (4, 0)
Step-by-step explanation:
According to the graph shown, the parabola passes trough the points (4,0) and (5,0). Therefore, they are the x-intercepts of the parabola.
Answer:
(4,0) and (5,0)
Step-by-step explanation:
The solutions of a parabola is when the parabola crosses the x- intercept.
The area of trapezoid RSTU is 68 square inches, and the area of similar trapezoid JKLM is 425 square inches. What is the scale factor of RSTU to JKLM?
Answer:
6.25
Step-by-step explanation:
The scale factor is equal to how many times larger or smaller the new trapezoid is from the original trapezoid. To solve for the scale factor, divide the new area of JKLM by the original area of RSTU to calculate how many times larger RSTU got to become JKLM.
425 ÷ 68 = 6.25
Answer:
It is [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
I got it right on my quiz!
For each of the sequence below identify whether there is a common ratio. If there is identity what it is. If there is not a common ratio type none.
yes
1.-3
2.3
3.10
4.2
5.3
The perimeter of an equilateral triangle must be at most 57 feet. Create an inequality to find
what the length of the sides should be. Solve the inequality by showing all of your work.
We know that the perimeter is at most 57 feet. We will call the length of each side with the variable 'x'. Each side is the same since it's an equilateral triangle.
The perimeter of the triangle is defined as '3x' because 3 times the side length of an equilateral triangle is its perimeter.
Since the perimeter is at most 57 feet, it can't be more than that. Therefore, we get the inequality 3x≤57.
This inequality is the same as saying the perimeter is less than or equal to 57 feet.
Now we solve.
3x≤57
Isolate 'x': 3x/3≤57/3
0<x≤19 is our answer.
The reason there is a "0<" added is because the side of a triangle can't be less than 0, that would be impossible.
Please Help Me!! Worth 25 points!!
Answer:
6x²-2=13
6x²=13+2=15( transposition method)
x²=15/6
x=√15/6
Answer:
It is the second one.
Step-by-step explanation:
6x²=17
x²=17/6
x=±sqrt(15)/6
gooooooooooooooooooooooooooooooooooooooooooooooooooooooood moring got another question
Answer:
[tex]x[/tex] = 12
Step-by-step explanation:
This question is asking what [tex]x[/tex] equals and in order to find the answer, we need to subtract 25 - 13 which equals 12.
I'd appreciate it if someone helped me w this
10 Points
Answer: 1-p
Step-by-step explanation:
Let's put this in numbers! If Henry had a 1/5 (p=1/5) chance of winning the raffle, then in order to find that chance he will not win is easy! We would do 1-1/5. So if we go back to the problem with the variable p, we can see tha the answer is 1-p.
Graph the line that passes through the points (2, 1) and (1, -2) and determine the equation of the line.
Answer:
y = 3x - 5
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Slope-Intercept Form: y = mx + b
Step 1: Find slope
m = (-2 - 1)/(1 - 2)
m = 3
Step 2: Find b
y = 3x + b
-2 = 3(1) + b
-2 = 3 + b
b = -5
Step 3: Rewrite linear equation
y = 3x - 5
Step 4: Graph using graphing calc
Which of the following is the value of a when the function f(x)=3 [x]written in the standard form of an absolute value function?
Answer
The answer is A (-1)
Step-by-step explanation:
Got it right on quiz
1. Two trucks, truck A and truck B, are driving across the country taking the same route.
After 1 day, truck A was 117 miles behind truck B. The next day, truck A drove 185 miles
more miles than truck B. The third day, truck B drove 48 miles more miles than truck A.
Where is truck A in relation to truck B after the third day?
A. 20 miles ahead of truck B
B. 116 miles ahead of truck B
C. 254 miles behind truck B
D. 350 miles behind truck B
C--254 miles behind truck B
(5x - y - 3z) + (3x - 2y - 6z)
━━━━━━━☆☆━━━━━━━
▹ Answer
8x - 3y - 9z
▹ Step-by-Step Explanation
(5x - y - 3z) + (3x - 2y - 6z)
Remove the parentheses
5x - y - 3z + (3x - 2y - 6z)
Collect like terms
8x - y - 3z - 2y - 6z
Final Answer
8x - 3y - 9z
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: 8x - 3y - 9z
Step-by-step explanation:
(5x - y - 3z) + (3x - 2y - 6z)
Remove Parenthesis
5x - y - 3z + 3x - 2y - 6z
Add Like Terms
8x - 3y - 9z
A rider sits on a motorcycle. The motorcycle has a mass of 237 kilograms.The rider has a mass of 89 kilograms. What is the total mass of the motorcycle and the rider????
Answer:
326 kg
Step-by-step explanation: weight of the motorcycle: 237 kg
Mass of the rider: 89 kg
Total mass: 237+89:326 kg
Answer:
326 kg
Step-by-step explanation:
tbh im lazy to type it in i owe u a explanation
which inequality is graphed on the coordinate plane?
Answer:
B.
Step-by-step explanation:
The line is a dotted line, so the inequality is obviously going to be using either a > sign or a < sign.
The inequality is shaded above the dotted line, so we will use a > sign. That corresponds to Choice B.
Hope this helps!
The equation of the graph of inequality is y > 4x + 2.
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
According to the question
Graph show the inequality
As graph is having a doted line
as we know
The boundary line is dashed for > and < in graph of an inequality
i.e
inequality will have either > or <
Now ,
As we know according to the graph of an inequality
If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
As area is shaded above the line
i.e it will have
>sign in inequality
As per options
only option B is valid which have > sign in inequality .
Therefore,
the equation of the graph of inequality is y > 4x + 2.
Hence, the equation of the graph of inequality is y > 4x + 2.
To know more about graph of inequality here:
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solve this systems of linear equations.separate the x- and y-values with a comma 2x+3y=-6 6x-4y=-44
Answer:
for the first one ‘x‘: x = -3/2 y -3
for the first one ‘y’: y = -2/3x-2
for the second one ‘x’: x= 2/3 y + -22/3
for the second one ’y’: y = 3/2 x + 11
Step-by-step explanation: