The value of the numerator of the calculation of the variance is 258, the correct option is D.
Given
The test scores of a geometry class are given below. 90, 75, 72, 88, 85.
What is a variance?Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.
The mean of the test scores of a geometry class is;
[tex]\rm Mean = \dfrac{90+75+72+88+85}{5}\\\\ Mean =\dfrac{ 410}{5}\\\\Mean =82[/tex]
The variance is given by;
[tex]\rm Variance =\dfrac{(90 - 82)^2 + (75 - 82)^2 + (72 - 82)^2 + (88 - 82)^2 + (85 - 82)^2}{5}\\\\Variance = \dfrac{8^2+7^2+(-10)^2+6^2+3^2}{5}\\\\Variance=\dfrac{64+49+100+36+9}{5}\\\\Variance = \dfrac{258}{5}[/tex]
Hence, the value of the numerator of the calculation of the variance is 258.
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Answer:
Step-by-step explanation:
d
Oliver earns $45 per week mowing lawns in his
neighborhood. Which expression can be used to
show how much money he earns in 8 weeks??
A. (8 x 40) + (8 x 5)
B. (8 x 40) x (8+5)
C. (8 + 40) x (8 + 5)
D. (8 + 40) + (8 x 5)
1) Which equation represents a function of that is not linear?
A) y= 6(x+2)
B) y = 63 + 2x
C) y = 6x + 2x7
D) y= (6 + xV2
Answer: y = (6+x^2) (D)
Step-by-step explanation: The equation of this line is not linear since it curves and does not pass the vertical line test.
1/4 = 8/k HELP! WILL GIVE BRAINLIST IF CORRECT ANSWER SND CORRECT FORMAT
Answer:
I think 32 because 32/4=8
Step-by-step explanation:
Find the length of x
Answer: 7.5
Step-by-step explanation:
These triangles are similar by AA, meaning we can set up a proportion.
This proportion is 5/3 = x/4.5
x=(4.5)(5)/3 = 7.5
can someone help me find the area of the shaded region?
Answer:
3600mm
Step-by-step explanation:
Simplify.
- 1/2x - 1/5 - 5x + 3/10 + 3/2x
Answer:
-4x+1/10
Step-by-step explanation:
Factor out common term X X(-1/2-5+3/2)-1/5+3/10
Simplify=-4x-1/5+3/10
-1/5+3/10=1/10
-4x+1/10
Find the area of the shaded region.
The area of the shaded region is _ (Simplify your answer.)
Answer:
15x-36
Step-by-step explanation:
let's simply get the area of the larger square, and then get the area of the smaller square and subtract the area of the smaller square from that of the larger square, what's leftover is the shaded region.
[tex]\stackrel{\textit{area of the larger square}}{(4x-6)(4x-6)\implies \stackrel{F~O~I~L}{16x^2-48x+36}} ~\hfill \stackrel{\textit{area of the smaller square}}{(x)(x)\implies x^2} \\\\[-0.35em] ~\dotfill\\\\ (16x^2-48x+36)~~ - ~~(x^2)\implies 15x^2-48x+36 \\\\\\ 3(5x^2-16x+12) \implies 3(5x-6)(x-2)[/tex]
please solve the question
Answer:
x/2 + y√3/2 = 4
Step-by-step explanation:
Step 1: Apply formula
Formula for this problem is :-
xcosα + ysinα = p
Step 2: Substitute values
xcos(60°) + ysin(60°) = 4
x(1/2) + y(√3/2) = 4
x/2 + y√3/2 = 4
Hope it helps.
;)
<3
Susan makes 8 dollars for each hour of work. Write a equation of her total pay after working hours
If 100 people have a certain disease out of 7,800,000,000 people. Then what percentage of the people have that disease
Answer:
b = 100 * 100
7.8
= 10000
7.8
= 50000
39
= 1282.05128%
Step-by-step explanation:
yea just someone help me please and thank you.
Answer:
Use protractor to measure the X thanks me later
My answer is 33° use protractor to confirm it
#Carryonlearning
Mark has some money in his wallet. He was paid $8 for for working for an hour and then had a total of $15. How much money did he have in his wallet before working?
show your work
Please help I’m stuck on this question, I’ll give brainliest
A clothing store is having an anniversary sale. Every piece of clothing in the
store is 15% off. If Lara bought a belt that was originally priced $23 and a
sweater that was originally $32, what is the final price after 6% sales tax?
Answer:
49.55
Step-by-step explanation:
okay so, what we do is
Get 15% of 23
Get 15% of 32
15% of 23 is 3.45
15% of 32 is 4.80
Now we do
23 - 3.45
32 - 4.80
23 - 3.45 is 19.55
32 - 4.80 is 27.2
This is the part im not 100% on
27.20 + 19.55 is 46.75
6% of 46.75 is 2.80
46.75 + 2.80 is 49.55
Now i dont know if its that way or if you apply the 6% sale tax to each individual item
Question: A clothing store is having an anniversary sale. Every piece of clothing in the
store is 15% off. If Lara bought a belt that was originally priced $23 and a
sweater that was originally $32, what is the final price after 6% sales tax?
Answer: $44.89
Step-by-step explanation:
23+32=55
15% of 55 = $8.25
leaves $47.75
6% of 47.75 = $2.87
leaves $44.89
I don't understand this.
Answer:
Me too i cant understand
Step-by-step explanation:
ba bay
find the value of each variable
x =
y=
Answer:
x=9
y=[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
This is a special type of triangle known as a 45-45-90 triangle.
The ratio for the sides of this triangle are x:x:x[tex]\sqrt{2}[/tex]
Meaning that the two sides other than the hypotenuse are equal, so in this triangle x=9 because it is not a hypotenuse.
The hypotenuse, however, is the value of one side multiplied by [tex]\sqrt{2}[/tex].
In this case it is 9, so 9*[tex]\sqrt{2}[/tex] = [tex]9\sqrt{2}[/tex]
PLEASE HELP!!!
50 POINTS
Only answer if you know
Your answer is below;
[RevyBreeze]
Can someone please help? The teacher didn’t explain us this part.
Answer:
With ratio's you would be comparing two different numbers. So RS and AB ratio is 18:24, which could be divided by 6 to simplify to 3:4
Step-by-step explanation:
Solve for O sin(x) tan(x)= sin(x)
Answer:
[tex] \frac{\pi}{4}, \: \frac{5\pi}{4}[/tex]
Step-by-step explanation:
[tex] \sin(x).\tan(x) = \sin(x) \\ \\ \implies \tan(x) = \frac{\sin(x) }{\sin(x)} \\ \\ \implies \tan(x) = 1 \\ (\because\:0\leq x\leq 2\pi) \\\\ \implies \tan(x) = \tan \frac{\pi}{4} \: or \: \tan(x) = \tan \bigg(\pi + \frac{\pi}{4} \bigg) \\ \\ \implies x = \frac{\pi}{4} \: or \: x = \frac{5\pi}{4} \\ \\ \huge{\purple{x = \frac{\pi}{4}, \: \frac{5\pi}{4}}}[/tex]
11.44 plus O.7 eqalls
Answer:
12.14
Step-by-step explanation:
because if 11.44 id added to .7 we add a zero to point .7. .70
11.44
+ .70
12.14
Answer:
12.14
Step-by-step explanation: Because if you add 0.7 to 0.44 then you get 1.14, then you add 1.14 to 11 you get 12.14
ill give the brainliest to the correct and the best explained answer :))
Answer:
20 m
Step-by-step explanation:
Using the Pythagorean Theorem,
a² + b² = c²
c² = (16)² + (12)²
= 256 + 144
= 400
c =√400
c = 20 m
Solution:
Given:
Length of rectangle = 16 mBreadth of rectangle = 12 mSolve using Pythagoras theorem:
c (Diagonal)² = 12² + 16²=> c² = 144 + 256=> c² = 400=> c = √400 = 20 mIf the length of the base of both triangles measures 80 inches, what is the length of the kite’s shorter diagonal? 30 inches 39 inches 10 StartRoot 39 EndRoot inches 10 StartRoot 11 EndRoot inches.
The length of kite’s shorter diagonal is 39 inches.
What is a KiteA kite is a quadrilateral (has four sides and four angles) in which adjacent sides are congruent and the diagonal bisect at 90 degrees.
Each leg of the upper triangle measures 41 inches and each leg of the lower one measures 50 inches. Hence half the length of the base = 80/2 = 40. The base = diagonal = 80 inches
Using Pythagoras:
41² = d₁² + 40²
d₁ = 9 inches
Also:
50² = d₂² + 40²
d₂ = 30 inches
Length of diagonal = 9 + 30 = 39 inches
The length of kite’s shorter diagonal is 39 inches.
Find out more on Kite at: https://brainly.com/question/25776644
Answer:
they are correct ^
Step-by-step explanation:
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Answer:
Step-by-step explanation:
7 1/3 t - (10 2/3 t - 6) Remove the brackets
7 1/3 t - 10 2/3 t + 6 Combine the first 2 terms.
- 3 1/3 t + 6 This binomial is the answer.
on a map 3 cm represents 60 km. what is the constant of proportionality
Krista is measuring plants for science class. She finds a leaf that is 5 inches long and a stick that is 7 inches long. How many inches longer is the stick than the leaf?
Answer:
2 inches
Step-by-step explanation:
7inches - 5 inches = 2 inches
Hope this helps!
Help please!
On a certain multiple choice test, you receive 8 marks for every
question you get right, but lose 5 marks for every question you get
wrong. Josh answered all 150 questions on the test but received only 485 marks. How
many questions did he answer correctly?
Answer:
he got 95 questions correct and 55questios wrong.
Step-by-step explanation:
i hope this will help
What is the value of
7p + 9/3
when p= 6 and q= 12?
Is the question 7p+q/3 ?!
Then the answer is 138/3
Because 7*6 + 12/3
42+12/3
LCM is 3
126/3 + 12/3
= 138/3
Answer:
45
Step-by-step explanation:
Pls explain this question for me
100/7
Answer:
100/7 --> 50/3.5 --> 25/1.75 . If we're assuming, without a calculator, we can just say 1.75 ~ 2. So 25/2 = 12.5 as an approx .
But actually, 100/7 -- with no assumptions etc, is just 14.28571429
A bookstore bought a case of 10 books at a wholesale price of $84. The bookstore will sell the books at a 25 percent markup, and each book will be sold for the same amount. How much will they sell each book in the case for?
$8.40
$10.50
$105.00
$105.80
pls I need help
Answer:
I am pretty sure that it is 105 dollars
This scale drawing shows a.reduction in a figure what is the value of X
Answer:
x = 2.25
Step-by-step explanation:
8:6
So, 8/6 = 4/3 or 1.33333333 (decimal multiplier)
Therefore, 8 divided by 4/3 = 6.
Then, we could also do 3 divided by 4/3= 9/4 or 2.25.
2.25 x 4/3 = 3.
Answer:
x = 2.25
setting up proportionality:
[tex]\rightarrow \sf \dfrac{8}{3} = \dfrac{6}{x}[/tex]
[tex]\rightarrow \sf 8x = 18[/tex]
[tex]\rightarrow \sf x = \dfrac{18}{8}[/tex]
[tex]\rightarrow \sf x = 2.25[/tex]
could the following side lengths form a right triangle? Elplain 11,60,61
Answer:
Yes
Step-by-step explanation:
A^2+B^2=C^2
11^2+60^2=61^2
121+3600=3721
3721=3721
:)
