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Andreas93 [3]
3 years ago
10

A ________ exists between two variables when the values of one variable are somehow associated with the values of the other vari

able. correlation inference difference trial
Mathematics
1 answer:
motikmotik3 years ago
8 0
Correlation would be the correct answer
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If a pyramid is cut with a plane parallel to the base, the intersection of the pyramid and the plane is ----- a cross section
Stella [2.4K]

Answer:

Square cross section (Red)

Step-by-step explanation:

If the pyramid is cut with a plane (green) parallel to the base, the intersection of the pyramid and the plane is a square cross section (red). If the pyramid is cut with a plane (green) passing through the top vertex and perpendicular to the base, the intersection of the pyramid and the plane is a triangular cross section (red)

4 0
4 years ago
So confused! I have the answer, but can't understand the explanation. Please help...
andrey2020 [161]
(mx^3+3)*(2x^2+5x+2)-(8x^5+20x^4)=8x^3+6x^2+15x+6 \\ (mx^3*2x^2)+(mx^3*5x)+(mx^3*2)+(3*2x^2)+(3*5x)+(3*2) \\ -8x^5-20x^4=8x^3+6x^2+15x+6\\ \\ 2mx^5+5mx^4+2mx^3+6x^2+15x+6-8x^5-20x^4 \\ =8x^3+6x^2+15x+6 \\ \\ (2m-8) x^{5} +(5m-20) x^{4} +2mx^3+6x^2+15x+6 \\ =8x^3+6x^2+15x+6 \\ \\ (2m-8) x^{5} +(5m-20) x^{4} +(2m-8)x^3=0 \\ (m-4) 2x^{5} +(m-4) 5x^{4} +(m-4)2 x^3=0 \\ (m-4)( 2x^{5} + 5x^{4} +2 x^3)=0 \\ m=4

6 0
3 years ago
Read 2 more answers
You put $400 in a account. The account earns $18 simple interest in 9 months. What is the annual interest rate?
Paha777 [63]
Use the formula,
I = Prt
P = Principal amount = 400
I  = interest = 18
r = annual rate
t = time in years = 9/12 = 3/4

so,
18 = 400*r*3/4

r =  0.06
so the annual interest rate is 0.06 or 6%.
8 0
3 years ago
Read 2 more answers
A) What is the equation of the line that passes through the given pair points in slope-intercept form?
lesya [120]

A)

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, 5.1) and (-1, -0.5). Substitute:

m=\dfrac{-0.5-5.1}{-1-2}=\dfrac{-5.6}{-3}=\dfrac{5.6}{3}=\dfrac{56}{30}=\dfrac{28}{15}

Therefore we have:

y=\dfrac{28}{15}x+b

Put the coordinates of the point (-1, -0.5) ot the equation:

-0.5=\dfrac{28}{15}(-1)+b

-0.5=-\dfrac{28}{15}+b     <em>multiply both sides by 2</em>

-1=-\dfrac{56}{15}+2b       <em>add \dfrac{56}{15} to both sides</em>

\dfrac{41}{15}=2b            <em>divide both sides by 2</em>

b=\dfrac{41}{30}

Answer: \boxed{y=\dfrac{28}{15}x+\dfrac{41}{30}}

-------------------------------------------------------------------------

B)

We have the points (-2, 3) and (3, -4).

Calculate the slope:

m=\dfrac{-4-3}{3-(-2)}=\dfrac{-7}{5}=-\dfrac{7}{5}

Therefore we have:

y=-\dfrac{7}{5}x+b

Put the coordinates of the point (-2, 3) to the equation of a line:

3=-\dfrac{7}{5}(-2)+b

\dfrac{15}{5}=\dfrac{14}{5}+b              <em>subtract \dfrac{14}{5} from both sides</em>

\dfrac{1}{5}=b\to b=\dfrac{1}{5}

Answer: \boxed{y=-\dfrac{7}{5}x+\dfrac{1}{5}}

7 0
4 years ago
A carnival roulette wheel contains 2424 slots numbered​ 00, 0,​ 1, 2,​ 3, ..., 2222. 1111 of the slots numbered 1 through 2222 a
julsineya [31]

Answer:

the probability that the ball falls into a redred ​slot is 0.4996

Step-by-step explanation:

The question is not correct right question is:

A carnival roulette wheel contains 2224 slots numbered​ 00, 0,​ 1, 2,​ 3, ..., 2222. 1111 of the slots numbered 1 through 2222 are colored​ red, and 1111 are colored black. The 00 and 0 slots are uncolored. The wheel is​ spun, and a ball is rolled around the rim until it falls into a slot. What is the probability that the ball falls into a redred ​slot?

Given that:

The carnival roulette wheel has 2224 slots numbered​ 00, 0,​ 1, 2,​ 3, ..., 2222.

1111 of the slots are colored red while 1111 of the slots are uncolored. The remaining slots 00 and 0 are uncolored.

Therefore, the total number of possible outcome is 2224. Probability is the ratio of number desired outcome to total number of possible outcome.

For, the probability that the ball falls into a redred ​slot, the desired outcome is 1111(i.e number of red slot)

Therefore, the probability that the ball falls into a redred ​slot = 1111/2224 = 0.4996

4 0
3 years ago
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