how man 1/3 inch cubes does it take to fill a box with width 2 2/3 inches,lenght 3 1/3 inches and height 2 1/3

(2y + 9)(3y - 1) = 5y2 + 25y - 9

Vikki [24]

Answer:

y1= 0, y2= 5/3

Step-by-step explanation:

Remove the parentheses and multiply

then cancel the equal terms

collect the lie terms

move the variables to one side

divide both sides by two

split into possible cases

then solve the equation to get

y= 0 and

y= 5/3

7 0

2 years ago

Andrew wants to know how many 3/16 pound servings in a bag containing 7/8 pound of granola

Aleksandr-060686 [28]

Do 7/8 divided by 3/16.
Multiply by the reciprocal of 3/16 which is 16/3
7/8 x 16/3= 112/24
Simplify by dividing by 8 on top and bottom
14/3
Change it into a mixed number
Answer is 4 2/3

3 0

3 years ago

Please answer these 5 questions ill give brainliest and give more points after you answer

givi [52]

Answer:

go to the skating rink

Step-by-step explanation:

if multiply 5x 7 you get 35

If you add 35+15 you get 50 which is the amount of money you have. So if you chose the bowling ally you could bring 7 friends

but is you multiply 3x10 that equals 30

Add that by 20 and you get 50

let me know if its right

3 0

3 years ago

Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.58, what is the

aliina [53]

Answer:

0.36% probability that fewer than half in your sample will watch news videos

Step-by-step explanation:

To solve this question, i am going to use the binomial approximation to the normal.

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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 250, p = 0.58$

So

$\mu = E(X) = 250*0.58 = 145$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.58*0.42} = 7.80$

If the population proportion of adults who watch news videos is 0.58, what is the probability that fewer than half in your sample will watch news videos

Half: 0.5*250 = 125

Less than half is 124 or less

So this is the pvalue of Z when X = 124

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{124 - 145}{7.8}$