Which example illustrates the distributive property? 4 + 5 = 5 + 4 3(x + 4) = 3x + 12 5 * 1 = 5 4 + (5 + 6) = (4 + 5) + 6

Connor wants to attend the town carnival. The price of admission to the carnival is $4.50, and each ride costs an additional 79

inysia [295]

4 rides because that is enough to afford

5 0

3 years ago

Solve for P: 9(p−4)=−18 Please Explain

vekshin1

Answer:

p = 2

Step-by-step explanation:

Happy to help.

When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:

2(3 + 4) = 2(7), or 14.

But, the two can also be distributed into both numbers in the parenthesis, like this:

2(3 + 4) = 2*3 + 2*4

That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(p - 4), or the left side of your equation you presented.

9(p - 4) = -18

9*p - 9*4 = -18

9p - 36 = -18

Add 36 on both sides to isolate the variable (in this case, p)

9p = -18 + 36

You can also write it like this; 9p = 36 - 18

9p = 18

Divide 9 to isolate p

p = 2

So, we would get (p = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!

Good luck!

3 0

3 years ago

What's the value of x when f(x)=58

Natalka [10]

Infinite, because essentially the graph is going to have a horizontal line because f(x)=58/y=58 just means that the y will remain on 58 but the x can have whatever value.

3 0

3 years ago

Your investment of $18,100 at 13.6% compounded annually for 7.5 years will be worth how much?

Andrei [34K]

Answer: 49350.86
Explanation

3 0

3 years ago

Read 2 more answers

Concerns about the climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g. from r

natta225 [31]

Answer:

a) 99% of the sample means will fall between 0.933 and 0.941.

b) By the Central Limit Theorem, approximately normal, with mean 0.937 and standard deviation 0.0015.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .