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2 years ago

Multiply 8x(3/4y+4) using distributive property

Mathematics

1 answer:

katrin [286]2 years ago

4 0

6xy+32

You multiply 8x by each number and get

24/4xy+32 You can simplify the 24/4 to get six. so your answer is

6xy+32

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The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

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Let's define the random variable, $X =$ "Comprehensive strength of concrete". We have information that $X$ is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, $X \sim N(2500, 2500)$ .

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$P(2499 \leq \bar{X} \leq 2510) \Rightarrow P(\frac{2499 - 2500}{500} \leq \frac{\bar{X} - 2500}{500} \leq \frac{2499 - 2500}{500} ) \Rightarrow\\\Rightarrow P(-0.002 \leq \frac{\bar{X} - 2500}{500} \leq 0.02 ) \Rightarrow P(-0.002 \leq Z \leq 0.02 )$

Where $Z \sim N(0,1)$ , then:

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