Answer:
The correct options are;
1) The mean (average) score for each class is the SAME
2) The variance of Class B is 159.14
3) Class B has a greater spread
4) Based on the data A score of 8 is more likely in class B than in class A
Step-by-step explanation:
The given data are;
For the 1st period (Class A), we have
The mean, μ = (10 + 15 + 20 + 25 + 30 + 35 + 40)/7 = 175/7 = 25
The standard deviation σ, is given as follows;
[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}[/tex]
Where;
N = The number population size = 7
[tex]x_i[/tex] = The individual data values
Solving using Microsoft Excel formula STDEV.P gives, σ = 10
[tex]\sigma _A[/tex] ≈ 10
The variance = σ² = 10² = 100
For the 2nd period (Class B), we have
The mean, μ = (7 + 12 + 17 + 25 + 33 + 38 + 43)/7 = 175/7 = 25
The standard deviation σ, is given as follows;
[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}[/tex]
Where;
N = The number population size = 7
[tex]x_i[/tex] = The individual data values
Solving using Microsoft Excel formula STDEV.P gives, [tex]\sigma _B[/tex] ≈ 12.615
[tex]\sigma _B[/tex] ≈ 12.615 > [tex]\sigma _A[/tex] ≈ 10, class B has greater spread
The variance = σ² = 12.615² ≈ 159.14
A score of 8 is more likely in class B than in class A due to the availability of data before and after the a score of 8
Which represents where f(x) = g(x)?
Answer:
The second one.
Step-by-step explanation:
Both intercept twice at 0 and -4.
M is the midpoint of LN. If LM = 3x and MN = x + 8, what is MN?
Answer:
12
Step-by-step explanation:
Since M is a midpoint of LN, we can see 3x equal to x+8. Remove 1 x to get 2x=8. Solve for x to get x=4. Note that this is not the end to your problem. They asked for the length of MN, not the value of x. Plugging x into MN give you 4+8, which is 12.
(If you need to show work, here it is)
3x=x+8
2x=8
x=4
MN=x+8
MN=4+8
MN=12
Maggie's brother is 4 years younger than twice her age. The sum of their ages is 17.
How old is Maggie?
Answer:
Maggie is 7 years old
Step-by-step explanation:
m+2m-4=17
3m-4=17
3m=21
m=7
Answer:
Maggie is seven years old
Step-by-step explanation:
Maggie's Brothers Age = B
Maggie's Age = M
2M - 4 = B
B + M = 17
Plug in 2M - 4 for B
( 2M - 4 ) + M = 17
Combine Like Terms
3M - 4 = 17
Add 4 to either side
3M = 21
Divide either side by 3
M = 7
Check your answer
2M - 4 = B -> 2 x 7 - 4 = B -> 14 -4 = B -> B = 10
B + M = 17 => 7 + 10 = 17 => 17 = 17
PLEASE HELP, DUE AT 12:00 am
Answer:
B
statement a is division property of equality
statement b is symmetry property of congruence
statement c is multiplication property of equality
what is the factor of x2+3x-18?
Step-by-step explanation:
[tex]x {}^{2} + 3x - 18 \\ = x {}^{2} + (6 - 3)x - 18 \\ = x {}^{2} + 6x - 3x - 18 \\ = x(x + 6) - 3(x + 6) \\ = (x + 6)(x - 3)[/tex]
Thank you ☺️☺️
write 2 numbers that multiply to the value on top and add to the value on bottom.
Answer:
-11 and -5
Step-by-step explanation:
-11 x -5 = 55, and add to -16
Please help!!! I need the correct answer. Thx!
Answer:
I think the answer is A if my math is wriye
Step-by-step explanation:
which expression is equivalent to 54.5-6?
Answer: 5-6•54
Hope this helps (:
Of 56 dogs, 34 have spots, 23 have blue eyes, and 11 have neither. How many have both blue eyes and spots?
Whoever remembers this and knows how to do dis answer correctly plz!!
It’s just simple (Grade5fractions)
(WILL MARK AS BRAINLIEST) promise!
:D
Answer:
1. 5/7 2. 8/9 3. 5/8
Step-by-step explanation:
They are all closer to one whole
Answer:
1. 5/7
2. 8/9
3. 5/8
I'm pretty sure this is correct
A projectile is launched into the air. The function h(t) = –16t2 + 32t + 128 gives the height, h, in feet, of the projectile t seconds after it is launched. After how many seconds will the projectile land back on the ground?
The projectile will land after ______ seconds
Answer:
t = 4 seconds
Step-by-step explanation:
The height of the projectile after it is launched is given by the function :
[tex]h(t)=-16t^2+32t+128[/tex]
t is time in seconds
We need to find after how many seconds will the projectile land back on the ground. When it land, h(t)=0
So,
[tex]-16t^2+32t+128=0[/tex]
The above is a quadratic equation. It can be solved by the formula as follows :
[tex]t=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = -16, b = 32 and c = 128
[tex]t=\dfrac{-32\pm \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=\dfrac{-32+ \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}, \dfrac{-32\- \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=-2\ s\ \text{and}\ 4\ s[/tex]
Neglecting negative value, the projectile will land after 4 seconds.
Anthony writes a numerical expression 2+10x3-2 and says that the expression has a value of 34. Is Anthony correct? Explain your answer.
Answer:
he is incorrect
Step-by-step explanation:
He is incorrect because 10 times 3 is 30, plus-minus 2 which is 30. So instead of 34, it is 30. or you can say Anthony is wrong. Following the order of operations, you would do the 10*3 first. Then, you would take the 30, and finish the equation from left to right. So you would add 2 to make it 32 and then subtract 2 to make it 30 again. So your final answer is 30, not 34. So Anthony is wrong.
у= 6x - 27
у= 4x - 17
Answer:
x=5 y=3
Step-by-step explanation:
6x-27=4x-17
2x=10
x=5
y=6(5)-27
y=30-27
y=3
y=4(5)-17
y=20-17
y=3
please help!!! finacial lit! will give brainliest:))
Which of the following creates deadweight loss? Choose all that apply.
1. producer surplus
2. price floor
3. price ceiling
4. consumer surplus
5. taxes
Answer:
Step-by-step explanation:
proucer surplus
Write a proof for the conjecture using the contrapositive.
If 5x + 7 = -13, then x = -4.
The contrapositive of this statement would be: "If x does not equal -4, then 5x + 7 will not equal to -13."
what is contrapositive?The contrapositive is defined as the inverse and converse of a conditional statement.
X is equal to 4 we know this is because the sign in between the number means greater than or equal to so 3 x 4 equals 12 which makes the equation on right true and on the left x.
So, the contrapositive of this statement would be:
"If x does not equal -4, then 5x + 7 will not equal to -13."
Learn more about contrapositive ;
https://brainly.com/question/5306301
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Marietta was given a raise of $0.50 per hour, which gave her a new wage of $18.75 per
hour. Enter and solve an equation to determine Marietta's hourly wage, x, before the raise.
Complete the explanation to show that your answer is reasonable.
The equation is
= 18.75.
Marietta's hourly wage before the raise was $
Marietta received a raise that was less than $1.00 per hour, so her new hourly wage should
be less than $ (select) + $1 = $19.25. Her new hourly wage of $18.75 is less than $19.25,
so the answer is reasonable.
Answer:
11.50
Step-by-step explanation:
The new wage is equal to the old wage plus her raise, so:
x + 0.75 = 12.25
or
x= 12.25-0.75
Meaning x is her original wage, being $11.50
(This is my first answer so let me know if I did anything wrong)
If Nicholas is located at (–3, 2), what is the distance to get to the grocery store?
A. 2
B. 3
C. 4
D. 5
Answer:
it would be D 5 hope this helps :)
Step-by-step explanation:
What is (n+8) + (n-12)
Answer:
n = 2
Step-by-step explanation:
Simplifying
(n + 8) + (n + -12) = 0
Reorder the terms:
(8 + n) + (n + -12) = 0
Remove parenthesis around (8 + n)
8 + n + (n + -12) = 0
Reorder the terms:
8 + n + (-12 + n) = 0
Remove parenthesis around (-12 + n)
8 + n + -12 + n = 0
Reorder the terms:
8 + -12 + n + n = 0
Combine like terms: 8 + -12 = -4
-4 + n + n = 0
Combine like terms: n + n = 2n
-4 + 2n = 0
Solving
-4 + 2n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2n = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 2n = 0 + 4
2n = 0 + 4
Combine like terms: 0 + 4 = 4
2n = 4
Divide each side by '2'.
n = 2
Simplifying
n = 2
Which best explains why this triangle is or is not a right triangle?
Answer:
B
Step-by-step explanation:
write 9 x 9 x 9 x 9 x 9 x 9 x 9 using a positive exponent
Answer:
9 to the 7th power
Step-by-step explanation:
Two times a number plus six equals 16.
Answer:
5
Step-by-step explanation:
2*(5)=10+6=16
Answer:
I'm guessing you want the value of "a number" which is 5
Step-by-step explanation:
subtract 6 from 16 and you get 10
2 x 5 = 10
The number is 5
Find 18% of $25. Please i need help
Answer:
4.50 i think
Step-by-step explanation:
a product that normally costs $25 with a 18 percent discount will cost you $20.50, and you saved $4.50. You can also calculate how much you save by simply moving the period in 18.00 percent two spaces to the left, and then multiply the result by $25 as follows: $25 x . 18 = $4.50 savings.
Answer:
4.5
Step-by-step explanation:
you multiply 18 and 25 to get an answer of 450 then divided it by 100 to get 4.50
Walking at a speed of 3 mph, Jack gets to school in 10 minutes and arrives at school right before the class starts. Today Jack needs to be at school 4 minutes earlier. How fast does Jack need to run this morning?
Answer:
Jack needs to run at a speed of 1/12 mph
Step-by-step explanation:
Mathematically;
speed = distance/ time
Distance = speed * time
10 minutes = 10/60 h = 1/6 hours
The distance to the school will be
Distance = 3 * 1/6 = 1/2 = 0.5 miles
Now, he needs to be at school 4 minutes earlier, time will now be 10 - 4 = 6 minutes
To get the speed here;
Recall that the distance from above does not change
So speed = 0.5/6 mph 0r 1/12 mph
Solve each equation algebraically. Show all work. #1, #4, and #6
Answer:
Step-by-step explanation:
Help!!!!!!! i don’t get it !!!!!!!!!!
Answer:88*8y=6x
Step-by-step explanation:
which could be the side lengths of a right triangle?
Answer:
B
Step-by-step explanation:
90+45+45=180
All triangles equal 180.
Its B because if one angle is 90° then the other angles will equal each other. It cant be 60° and 30° because they dont equal, so your final answer is B.
Hope this Helps!!! :)
may be helpful to your discussion.
7. Here's how Mo solved the subtraction problem
635 - 813:
635
- 813
- 222
Mo did this by working from right to left, saying
5 – 3 = 2
3 - 1 = 2
6 - 8 = -2
a. Is Mo's answer right?
b. Solve
6(100) + 3(10) + 5(1)
- [8(100) + 1(10) + 3(1)]
by working with expanded forms. Discuss how
Mo's work compares with your work in expanded
forms.
Answer:
Mo's answer is wrong.
635 - 813
= -178
Step-by-step explanation:
a. Is Mo's answer right?
No, Mo's answer is incorrect
Mo did this by working from right to left, Just like Subtraction
• 3 - 5 =
We that 1 from the number in tens , add that to 3, making it 13
13 - 5 = 8
• 1 - 3 = 7
The one above becomes 0, because 1 was taken from it. We add 1 to 0, making it 10
10 - 3 = 7
• 8 - 6 = 1
The 8 above reduces to 7 because 1 has been taken from 8.
Hence: 7 - 6 = 1
635 - 813
= -178
The answer is minus 178 because, we are subtracting the bigger number form the smaller number.
b. Solve
6(100) + 3(10) + 5(1)
- [8(100) + 1(10) + 3(1)]
by working with expanded forms. Discuss how Mo's work compares with your work in expanded forms.
= -1(100) + 7(10) + 8(1)
$3.50 per pound for potato salad OR 1.5 pounds of potato salad for $4.50
Answer:
1.5 pounds of potato salad for 4.50 would be cheaper
Step-by-step explanation:
because if you divide 3.50 by two you get 1.75 and added back to 3.50 you can purchase 1.5 pounds for 5.25 which is more expensive than 4.50
I WILL GIVE BRAiNLIEST TO FIRST PERSON WHO ANSWERS
Answer: 6 and 5
Step-by-step explanation:
Answer:
I will give you brainliest if you give me. :)
Step-by-step explanation:
1 11
2 19
What is the equation of the line passing through the points 20 and 3 12 in slope-intercept form?
?
2)
3
3 1
Oy-3
-
-
PLS HURRY AND ANSWER I HAVE 10 minutes left
The answer is y = 12x - 24
Use the form y = mx + b
If the points are (2, 0) and (3, 12) the slope is 12 which gives us m.
Since every time you go backwards once it goes down 12, (1, -12) is a point and then (0, -24) is a point that shows us the y-intercept which gives us b.