4. Jake had a 12-foot board that needed to be cut

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

4 0

Answer:2 feet, 5 inches

Step-by-step explanation:12 inches in a foot. 12 feet minus 9 feet is 3 feet. Take that remaining 3 feet and subtract 7 inches (12 inches mins 7 inches = 5 inches). So 2 feet, 5 inches

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Factor out the GCF -2x^2 - 4x - 6

andrew-mc [135]

The Greatest Common factor(GCF) of -2x^2-4x-6 is -2(x+1)(x-3)

<h3>What is Greatest Common Factor?</h3>

The greatest common factor (GCF) is the largest factor two or more numbers have in common

From the question,

-2x^2-4x-6

By collecting like terms

-2(x^2-2x-3)

By factoring x^2-2x-3

-2(x^2-3x+1x-3)

Collecting like terms

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

-2(x(x-3)+1(x-3))

-2(x+1)(x-3)

hence -2(x+1)(x-3) is the Greatest Common factor of -2x^2-4x-6 is

Learn more about Greatest Common factor on:brainly.com/question/219464

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3 0

10 months ago

The stock price for International Business Machines (IBM) historically has followed an approximately normal distribution (when a

olganol [36]

Answer:

0.494 is the probability that on a selected day the stock price is between $186.26 and $192.47.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $188.876

Standard Deviation, σ = $4.6412

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

Formula:

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

P(stock price is between $186.26 and $192.47)

$P(186.26 \leq x \leq 192.47) = P(\displaystyle\frac{186.26 - 188.876}{4.6412} \leq z \leq \displaystyle\frac{192.47-188.876}{4.6412}) = P(-0.5636 \leq z \leq 0.7743)\\\\= P(z \leq 0.7743) - P(z < -0.5636)\\= 0.781 - 0.287 = 0.494 = 49.4\%$