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2 years ago

Evaluate and Explain 3t(t+2)-3t^2 for t=19 and Simplifiy -(3a-2b)-3(-a-b)

1 answer:

5 0

1 ) 3 t ( t + 2 ) - 3 t² =
= 3 t² + 6 t - 3 t² = 6 t = 6 · 19 = 114

2 ) - ( 3 a - 2 b ) - 3 ( - a- b ) =
= - 3 a + 2 b + 3 a + 3 b = 5 b

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Seven more than the product of a number and 8 is equal to 5

yuradex [85]

8x + 7 = 5

A "product" is the result of a multiplication operation. So the product of a number, ( which we will call x,) and 8 would be 8x. (Or 8*"x" number) 7 more than that product would be 8x + 7 = 5

Hope that this helps!

8 0

2 years ago

Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find th

Digiron [165]

Answer:

$P(X = 0) = 0.0263$

$P(X = 1) = 0.1407$

$P(X = 2) = 0.3012$

$P(X = 3) = 0.3224$

$P(X = 4) = 0.1725$

$P(X = 5) = 0.0369$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 5, p = 0.517$

Distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.517)^{0}.(0.483)^{5} = 0.0263$

$P(X = 1) = C_{5,1}.(0.517)^{1}.(0.483)^{4} = 0.1407$

$P(X = 2) = C_{5,2}.(0.517)^{2}.(0.483)^{3} = 0.3012$

$P(X = 3) = C_{5,3}.(0.517)^{3}.(0.483)^{2} = 0.3224$

$P(X = 4) = C_{5,4}.(0.517)^{4}.(0.483)^{1} = 0.1725$

$P(X = 5) = C_{5,5}.(0.517)^{5}.(0.483)^{0} = 0.0369$

6 0

3 years ago

Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.

rodikova [14]

Answer:

A,B,andE

Step-by-step explanation:

Or The length AB is 2, The length A'B' is 3, and The scale factor is Two-Thirds

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3 years ago

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storchak [24]

Use the Pythagorean Theorem to find the length of the line segment connecting (4,-6) and (9,-5). The change in x is 5 and the change in y is 1. Thus, the
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A helicopter is hovering 100 meters above the ocean. Directly below it, a submarine is at a depth of 200 meters.The altimeter on

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A helicopter is hovering 100 meters above the ocean. Directly below it, a submarine is at a depth of 200 meters.The altimeter on the helicopter reads 100 meters,which means it is 100 meters above sea level.The altimeter on the submarine reads 200 meters,which means it is 200 meters below sea level

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3 years ago

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