Choose the two numbers from the box to complete

frosja888 [35]

Answer:

2) 2x = y + 13

Step-by-step explanation:

We have to translate the given information into an equation. We don't know what the numbers are yet, so let the first number be represented by the variable x and the second number be represented by the variable y.

Start by breaking the sentence apart. "2 times the first number" gives us $2x$ . The "is" in the sentence means that $2x$ equals something, bringing us to $2x =$ . Finally, it says "13 more than the second number." 13 more would mean you have to add to the second number, represented by y, so this gives us $y + 13\\$ . Put it all together and it is $2x = y + 13\\$ .

3 0

3 years ago

What is the absolute value of 9.8 and

Citrus2011 [14]

The answer is -10/3 your answer

7 0

3 years ago

Recently, FHA mortgages, which are insured by the federal government, accounted for 28% of all home-purchase mortgages that were

Murljashka [212]

Answer:

15.87% probability that 48 or more from this sample were insured by the FHA

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .