Multiply. Write your answer in lowest terms as a proper or improper fraction.<br> 3/4 (-2/15)

inn [45]

X^2+10x+16＝0

First, you find factors of 16.
1 x 16
2 x 8
4 x 4

Next, you find which of the factor pairs adds up to 10 (from the 10x). In this case, 2 x 8 because 2 times 8 is 16 and 2 plus 8 is 10.

Then, the equation will be written out as: (x+2) (x+8). Take those two equations and set them equal to 0, and then solve.

x+2＝0
-2 -2
x＝-2

x+8＝0
-8 -8
x＝-8

So, your answers are x＝-2 and x＝-8. You can check by plugging in those two numbers as x.

7 0

3 years ago

A tank that is 30% full contains 651 gallons of water. How much water does the tank hold when it is full?

Andreas93 [3]

last one 2170

Answer:

651=30 percent

x=100 percent

x=( 100×651)/30=2170 gallons

3 0

3 years ago

Read 2 more answers

Please help! picture attached :)

Radda [10]

Answer:

y=-3x+4

Step-by-step explanation:

im assuming that you need the equation of the table

to find slope, y2-y1/x2-x1 10-4/-2-0

6/-2=-3 slope=-3

y=mx+b just sub in the numbers from a point in the table

10=-3(-2)+b

10=6+b

b=4

y=-3x+b

4 0

2 years ago

The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probabili

Lena [83]

Answer:

a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

b) 0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c) 0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

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 z-score 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 p-value, 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 $s = \frac{\sigma}{\sqrt{n}}$ .