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AnnZ [28]
3 years ago
9

Factor the quadratic expression completely 6x^2 – 28x + 32

Mathematics
1 answer:
Fiesta28 [93]3 years ago
7 0
Answer: 2(x-2)(3x-8)

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In the figure above, are <3 and <7 alternate interior angles,
icang [17]

Answer:

Corresponding angles

Step-by-step explanation:

<3 and <7 lie on the same side of the transversal line. Each angle also is located on the outside of each parallel lines cut across by the transversal.

Therefore, <3 and <7 are corresponding angles.

7 0
3 years ago
If x – 9 is a factor of x2 – 5x – 36, what is the other factor a. x – 4 b. x 4 c. x – 6 d. x 6
schepotkina [342]
X^2 -5x -36 = x*x -9x+4x -9*4 = x(x-9) +4(x-9) = (x+4)(x-9)

so the second other factor is x+4 so hope that choice wan being x+4 than this will be right just you missed the sign pf plus 

hope this will help you 
5 0
3 years ago
Read 2 more answers
At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine
Tresset [83]

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

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}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

The machine is known to have 99 green balls and 78 red balls.

This means that p = \frac{99}{99+78} = 0.5593

Mean and standard deviation:

\mu = p = 0.5593

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.61 - 0.5593}{0.0373}

Z = 1.36

Z = 1.36 has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

8 0
3 years ago
Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you 75 cents for sell
nikdorinn [45]

Answer:

5075 cents or 50.75

so sorry if it was wrong!

4 0
3 years ago
I NEED HELPPPP PLEASEEEEW BEGGINGGG YOUUUU PLEASEEEEEE PLEASEEEEEEE​
avanturin [10]

Answer:

7x + 7

Step-by-step explanation:

2x + 5x = 7x

5 +2 = 7

4 0
3 years ago
Read 2 more answers
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