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2 years ago

Solve the equation, if possible. 1. 2x + 2(4x - 2) + 3x = x + 3(x – 8) + 4x

Mathematics

1 answer:

MAXImum [283]2 years ago

5 0

Answer:

x=-4

Step-by-step explanation:

Distribute and expand everything in brackets.

2x+2*4x+2*-2+3x=x+3*x+3*-8+4x

2x+8x-4+3x=x+3x-24+4x

Solve like terms

13x-4=8x-24

Place like terms on same side.

13x-8x=-24+4

Solve for x

5x=-20

x=-4

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2 years ago

Suppose the weights of the Boxers at this club are Normally distributed with a mean of 166 pounds and a standard deviation of 5.

lesya [120]

Answer:

0.1994 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 166 pounds

Standard Deviation, σ = 5.3 pounds

Sample size, n = 20

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{5.3}{\sqrt{20}} = 1.1851$

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$P( x > 167) = P( z > \displaystyle\frac{167 - 166}{1.1851}) = P(z > 0.8438)$

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2 years ago