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3 years ago

What is the value of y in the equation 4y - 2(1-y) = -442

Mathematics

1 answer:

kirill115 [55]3 years ago

8 0

Answer:

4y -2(1-y)= -442

4y -2+2y =-442

6y -2=-442

6y =-442+2

6y = -440

y = -440/6

y = - 220/3

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What is the equation of the following line? (0,0) (6,2)

leva [86]

If you want it to be a slope intercept form, the first you have to find slope.

y2-y1/x2-x1

2-0/6-0

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4 years ago

List the members of P(fa, b, c, d}). Which are proper subsets of fa, b,c, d)?

ankoles [38]

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this is:

the sets of one element : {a}, {b}, {c}, {d} and the null set; ∅

sets of two elements: {a,b} , {a,c} , {a.d}, {b,c}, {b,d}, {c,d}

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3 years ago

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3 years ago

Read 2 more answers

The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran

VARVARA [1.3K]

Answer:

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

Step-by-step explanation:

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, $X \sim N(2500, 2500)$ .

We want to know the probability of the mean of X or $\bar{X}$ that falls in the interval $[2499;2510]$ . From inference theory we know that :

$\bar{X} \sim N(2500, \frac{2500}{5}) \Rightarrow \bar{X} \sim N(2500,500)$

Now we can find the probability as follows:

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

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

$P(-0.002 \leq Z \leq 0.02 ) \approx P(0 \leq Z \leq 0.02 ) = P(Z \leq 0.02 ) - P(Z \leq 0) \\P(0 \leq Z \leq 0.02 ) = 0.50798 - 0.5 = 0.00798$

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3 years ago

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3 years ago