Answer:
0.303 or 30.3%
Step-by-step explanation:
We are given;
Variance; Var = 49
Sample size; n = 145
Standard error from mean; SEM = 0.6
Now, standard deviation is given by the formula;
SD = √Var
SD = √49
SD = 7
Now, the standard error from standard deviation is;
SE = SD/√n
SE = 7/√145
SE = 0.5813
z = Number of standard errors away from the mean = SEM/SE = 0.6/0.5813 = 1.0322
Using online P-value from z-score calculator with the z-score above and an assumed significance level of 0.05, we have;
P-value ≈ 0.303
Probability = 0.303 or 30.3%
Forty discrete math students are to be divided into eight discussion groups, each consisting of five students. In how many ways can this be done?
There are 65,800,850,944,000 ways to divide the 40 students into 8 discussion groups, each consisting of 5 students.
To find the number of ways to divide 40 students into 8 discussion groups of 5 students each, we'll use a combination formula.
The number of ways to choose 5 students out of 40 for the first group is given by C(40, 5).
After choosing 5 students for the first group, there will be 35 students left for the second group.
The number of ways to choose 5 students out of these 35 for the second group is C(35, 5).
We continue this process until all 8 groups are formed.
The total number of ways to divide the students into groups is the product of the combinations for each group. So, the total number of ways is:
Total ways [tex]=^{40}C_5 \times ^{35}C_5 \times^{30}C_5 \times ^{25}C_5 \times ^{20}C_5 \times ^{15}C_5 \times ^{10}C_5 \times ^{5}C_5[/tex]
Total ways = 65800850944000
Hence, there are 65,800,850,944,000 ways to divide the 40 students into 8 discussion groups, each consisting of 5 students.
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To write the polynomial 3x3 + x2 − 8x5 + 2x3 − 4x in standard form, which terms should be combined? A. 3x3 and 2x3 B. 3x3, 2x3, and x2 C. x2 and −4x D. x2 and 2x3
Answer:
Option A. is correct
Step-by-step explanation:
Like terms are those terms that have same variables of same powers. Terms that are not like terms are said to be unlike terms.
For example [tex]2x^3,7x^3[/tex] are like terms and [tex]5x^2,9x^5[/tex] are unlike terms.
Given polynomial is [tex]3x^3+x^2-8x^5+2x^3-4x[/tex]
Like terms need to be combined to write the polynomial in standard form
Here, like terms are [tex]3x^3,2x^3[/tex]
Option A. is correct.
Salary 8) Devin is a security officer. His annual salary is $18.250. What is his
monthly salary?
The local furniture store pays $300 for a dining room table and sells it with a 40% markup. What is the selling price of the dining room table? \
Selling Price = ?, Cost + Markup = ?
Answer:
$420
Step-by-step explanation:
Cost to the furniture store: $300
Markup: 40%
40% * $300 = $120
The markup is $120
Selling price = cost + markup = $300 + $120 = $420
Answer: $420
A 5.8-ft-tall person walks away from a 9-ft lamppost at a constant rate of 3.4 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 11 ft away from the lampost
Answer:
9.56 ft/sec
Step-by-step explanation:
We are told that a 5.8-ft-tall person walks away from a 9-ft lamppost at a constant rate of 3.4 ft/sec.
I've attached an image showing triangle that depicts this;
Thus; dx/dt = 3.4 ft/sec
From the attached image and using principle of similar triangles, we can say that;
9/y = 5.8/(y - x)
9(y - x) = 5.8y
9y - 9x = 5.8y
9y - 5.8y = 9x
3.2y = 9x
y = 9x/3.2
dy/dx = 9/3.2
Now, to find how fast the tip of the shadow is moving away from the lamp post, it is;
dy/dt = dy/dx × dx/dt
dy/dt = (9/3.2) × 3.4
dy/dt = 9.5625 ft/s ≈ 9.56 ft/sec
Selina didn't use the distributive property correctly. Where did she go wrong? Explain your thinking.
Answer:
PEMDAS
Step-by-step explanation:
Well, I don't know if there should be a picture of the problem that should go with the question. But a trick for solving distributive property is to use the trick PEMDAS In order.
For Example:
P-Paraenthese
E-Exponent
M-Multiply
D-Divide
A-Add
S-Subtract
NOTE!
Remember to always Multiply and divide BEFORE adding and subtracting.
Hoped this helped!
What is the solution to the equation? √x - 3 + 1 = 6
A. 64
B. 46
C. 28
D. 22
The solution of the given equation √x - 3 + 1 = 6 will be x = 64 so option (A) will be correct.
What is the equation?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
For example 8x + 7y = 15.
Given the equation,
√x - 3 + 1 = 6
√x + (-3 + 1) = 6
√x - 2 = 6
√x = 6 + 2 = 8
By squaring
x = 8² = 64.
Hence "The solution of the given equation √x - 3 + 1 = 6 will be x = 64".
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Answer:the correct answer is C.28
Step-by-step explanation:
Kent earns $12.75 per hour at his part time job. Kent worked 18 hours last week. This week he spent 1/3 of his money on car repairs. How much did the repairs cost?
ANSWERS TO THE WHOLE QUIZ:
1. 13.23
2. 1/2
3. 0.25
4. 31.16
5. 76.50
Your Welcome and have a great day!
( I had to fail the quiz to give the answers)
What is the slope intercept form of 9x+7y=14?
Answer:
y = -9/7x + 2 is the slope intercept form.
Step-by-step explanation:
One integer is 3 more than another. Their product is 70. Find the integers.
Answer:
(7, 10) or (-7, -10)
Step-by-step explanation:
If you need an explanation with this lmk but it's most likely answer choice.
What law is being modeled
Answer:
Step-by-step explanation:
In population genetics, the Hardy–Weinberg principle, also known as the Hardy–Weinberg equilibrium, model, theorem, or law, ... Males, A (p), AA (p2), Aa (pq) ... The sum of the entries is p2 + 2pq + q2 = 1, as the genotype frequencies must sum to ... Suppose that Aa is a pair of Mendelian characters, A being dominant, and
The table shows the height of water in a pool as it is being filled.
A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24.
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
The height of the water increases 2 inches per minute.
The height of the water decreases 2 inches per minute.
The height of the water was 2 inches before any water was added.
The height of the water will be 2 inches when the pool is filled..
Answer:
16
Step-by-step explanation:
What is the answer to (2k^-3)^-4
Answer:
15=15
Step-by-step explanation:
2x + 3 = 15 x = 6
(2) (6) + 3 = 15
15 = 15
TRUE!
Find 1.5% of 220 please help
Answer: 3.3
x. = 1.5
220 100
Write 1.96 ...... as a mixed number in simplest form.
Which of the following expressions is equal to 4+3(x-2)?
Answer:
i believe it is "3x+2"
Explanation:
first you distribute the 3 to the expression in the parenthesis and you get "3x-6" and add the +4 to the end of that expression and you get "3x-6+4" add "-6+4" and you get "-2" and then you get "3x--2"since a subtraction sign and a negative sign make it be addition you get the expression "3x+2"
Two bowlers bruce and donald want to find out who has the higher three-game series when compared to each of their leagues. Bruce has a score of 500, and his league has a mean score of 620 and a standard deviation of 20. Donald has a score of 520, and his league has a mean of 625 and a standard deviation of 25. Who has the higher three-game series score when compared to each of their leagues?
A. Bruce.
B. Donald.
C. The scores are equal when compared to each of their leagues.
Answer:
Donald
Step-by-step explanation:
Given that :
BRUCE :
score (x) = 500
League average (m) = 620
Standard deviation (σ) = 20
DONALD:
score (x) = 520
League average (m) = 625
Standard deviation (σ) = 25
Take standardized score of both Bruce and Donald
BRUCE:
Zscore = (x - m) / σ
Zscore = (500 - 620) / 20
Zscore = - 120 / 20
Zscore = - 6
DONALD:
Zscore = (x - m) / σ
Zscore = (520 - 625) / 25
Zscore = - 105 / 25
Zscore = - 4.2
Bruce's standardized score is lesser Than Donald's. Hence,
Donald has a higher three-game series score ;
Select all units that can be used for surface area. Group of answer choices square meters feet centimeters cubic inches square inches square feet (which one are they?)
Answer:
Unit that can be used for surface area is cubic inches.
Step-by-step explanation:
Surface area is the sum of the areas of all faces of a three-dimensional shape.
That is in case of surface area, we talk about three dimensions.
So, unit that can be used for surface area is cubic inches.
square meters, square inches and square feet are used for two dimensional shapes.
feet, centimeters are used for one dimensional shapes.
Guys Please help me with this question urgent!!
There were 120 people at a meeting. The ratio of men to women was 7 to 3.
24 more people joined the meeting. The ratio of men to women was then 11 : 5. How many women were among those 24?
Answer:
9
Step-by-step explanation:
1.)Find the amount of women within the 120 people in the meeting. So 3/10*120 , you get 36.
2.)Add 24 to 120 to get the new amount of people in the room. So 144.
3.)Using the new ratio 11:5 , find the amount of total women out of 144 people . So 5/16*144 , you get 45.
4.)Now minus the 2 amounts of initial women from the amount of total new women , to get the difference to find out how many women are there in the 24 people. So 45-36 , you get 9
A clinical psychologist has developed a new measure for assessing alcohol abuse. In a normal (non-clinical) sample, he found that his measure had a mean equal to 85 and a standard deviation equal to 15. Identify the score
Complete question :
A clinical psychologist has developed a new measure for assessing alcohol abuse. In a normal (non-clinical) sample, he found that his measure had a mean equal to 85 and a standard deviation equal to 15. Identify the score 25th, 75th, 95th
Answer:
1.) 25th percentile = 74.95
2.) 75th percentile = 95.05
3.) 95th percentile = 109.75
Step-by-step explanation:
Given that :
Mean (m) = 85
Standard deviation (s) = 15
The Zscore, corresponding to the percentiles given:
25th percentile score corresponds to a Zscore of - 0.67
Recall the relation:
Zscore = (x - m) / sd
x = score; m = mean = 85 ; sd = standard deviation = 15
-0.67 = (x - 85) / 15
15 * - 0.67 = x - 85
-10.05 = x - 85
x = 74.95
2.) 75th percentile ; Zscore = 0.67
0.67 = (x - 85) / 15
15 * 0.67 = x - 85
10.05 = x - 85
x = 10.05 + 85
x = 95.05
3.) 95th percentile ; Zscore = 1.65
1.65 = (x - 85) / 15
15 * 1.65 = x - 85
24.75 = x - 85
x = 24.75 + 85
x = 109.75
Mason made 3/4 of a pound of trail mix. If he puts 3/8 of a pound into each bag, how many bags can Mason fill?
A. half of a bag
B. 3 bags
C. 4 bags
D. 2 bags
Answer:
3/4^ 8/3= 24/12= 2 so d.2bags
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2. What is the first term of the arithmetic
sequence
41 346, 19
919?
Answer: The first term of the arithmetic sequence= 41,346.
Step-by-step explanation:
The first term in the Arithmetic sequence (generally denoted by 'a') is the beginning term of the sequence.
It helps to find the other terms([tex]a_n[/tex]) as it gives the initial point to start the sequence.
In the given sequence, the sequence starts from the number 41,346.
That means, the first term of the arithmetic sequence= 41,346.
I'm Using my last points will give brainliest geometry - finding angles with justification (level 1) delta math Please do step by step and pick reasoning for each
here are reasonings to pick from:
verticle angles
Linear pair (or triples)
Congruent angles
sum of angles in a triangle
sum of angles in a quadrilateral
Base angles of an isosceles triangle
Angle bisector definition
corresponding angles
alternate interior angles
alternate exterior angles
same - side interior angles
angle addition postulate
angle subtraction postulate
perpendicular lines form right angles
Answer:
m<GFC = 69 degrees
Step-by-step explanation:
The angle with 37 degrees is congruent with the angle on the left of 74 because of the Alternate Interior Angles Postulate
The last angle in the triangle that you don't know the degrees of is on the right of angle 74 because of the Alternate Interior Angles Postulate
So 37+74+ (the degree we don't know of the triangle) = 180 because of linear triples
180 - (37+74) = 69
So the angle on the right of angle 74 = 69
So m<GFC = 69 degrees
Answer:
Its 69
Step-by-step explanation:
the three measures will add up to 180 so all you hace to do is add the angles given and subtract that from 180 to find x
Wade picked 4 pints of blackberries. His friend, Matt, picked 6 pints. How
many pints did they pick altogether?
SOMEONE PLEASE HELP ILL GIVE BRAINLIEST
Answer:
A.
Step-by-step explanation:
Which is the better deal per car? 12 car washes for $100 or 5 car washes for $45
Answer:
12 Car washes for $100
Step-by-step explanation:
mark brainliest please.
Answer:
12 cars for $100
Step-by-step explanation:
This is because on car with this deal would cost $8.33 while with deal 2 one car would cost $9 and you want the cheaper deal in this case.
You spend 4/5 of an hour on your homework. You spend 1/2 of that time working on your science homework. How many minutes do you spend working on science homework?
Answer:
4/5 of an hour is 48 minutes so 48 minutes divided by 2 is 28 minutes
Step-by-step explanation:
Answer:
24 minutes.
Step-by-step explanation
4/5 = ?/60
4/5 = 48/60
half of 48 = 24
The sum of two consecutive numbers is 253. Which of the following equations
describes this situation?
A) 3n-1= 253
D) 2n+2= 253
B) 2n+1= 253
E) n+2= 253
C) 2n= 253
Answer:
EEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
EEEEEEEEEEEEEEEEEEEEEEEEE
The situation is a linear equation, and the equation that describes the situation is 2n + 1 = 253
How to determine the equation of the situation?Let the smaller number be n.
So, the consecutive numbers are n and n + 1
When the numbers are added, we have:
Sum = n + n + 1
This gives
Sum = 2n + 1
The sum is 253.
So, we have:
2n + 1 = 253
Hence, the equation that describes the situation is 2n + 1 = 253
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What is the order of 1/2, -2/3, -3/8 from least to greatest
Answer -3/8, -2/3 1/2
Step-by-step explanation:
Thats least to greatest
Answer:
3/8, 2/3, 1/2
Step-by-step explanation:
What is the length of AB?
The answer is B, I just answered this question on my quiz.
