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Vedmedyk [2.9K]
3 years ago
6

5(x−2)+3(2−x). simplify

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

Answer:  2x-4

Step-by-step explanation:

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The arithmetic mean (A) of two numbers (a and b) is given by the formula A=a+b/2, and their geometric mean (G) is given by G=√ab
Ann [662]
A = a+b / 2
G = √( a b )
G = √ ( A H )   / ²  ( we will square both sides of the equation )
G² = A H
H = G² / 2
H =  \frac{G ^{2} }{A}= \frac{a b}{A}= \\ = \frac{ab}{ \frac{a+b}{2} }= \frac{2ab}{a+b}
6 0
4 years ago
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An engineer commutes daily from her suburban home to her midtown office. The average time for a one-way trip is 36 minutes, with
Ivanshal [37]

Answer:

57.93% probability that a trip will take at least 35 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 36, \sigma = 4.9

What is the probability that a trip will take at least 35 minutes

This probability is 1 subtracted by the pvalue of Z when X = 35. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{35 - 36}{4.9}

Z = -0.2

Z = -0.2 has a pvalue of 0.4207

1 - 0.4207 = 0.5793

57.93% probability that a trip will take at least 35 minutes.

3 0
4 years ago
The domain for f(x) and g(x) is the set of all real numbers.
zvonat [6]

Answer:

it's the first choice: 2x^3 +  5x^2 - x - 6.

Step-by-step explanation:

(f•g)(x)

= f(x) * g(x)

= (x + 2)(2x^2 + x - 3)

= 2x^3  + x^2 - 3x + 4x^2 + 2x - 6

= 2x^3 +  5x^2 - x - 6.

7 0
4 years ago
Convert 100 mph to feet per second
GarryVolchara [31]
It should be 146.667 feet per second
7 0
3 years ago
PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!!!!!!!!!!!
Ilia_Sergeevich [38]

Answer:

D

Step-by-step explanation:

Circumference = Pi * radius^2

The radius is half of the diameter, 23.

5 0
3 years ago
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