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never [62]
3 years ago
10

(7x+3)(x-9) need help

Mathematics
1 answer:
Natalka [10]3 years ago
8 0
7x^2-63x+3x-27=0

Simplify. 

7x^2-60x-27=0

To find value of x, 7x+3=0
x-9=0 

x1=-3/7
x2=9

Substitute back in equation to find the answer either x1 or x2
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The only root is -2.  The roots are where the function goes through the x-axis.  This polynomial goes through in lots of places, but the only answer that matches is -2
8 0
3 years ago
Plz help i will mark brainlist
iragen [17]
Y=x+4
3x+Y=-8

3x+x+4=-8
X=-3. Substitute the value of x


Y=-3+4
Y=1

(X,Y)= (-3,1)

So the answer is C
6 0
3 years ago
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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}

Z = -2.69

Z = -2.69 has a pvalue of 0.0036

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

8 0
3 years ago
Read 2 more answers
What is the mean of the data set?
olga nikolaevna [1]

Answer:

183

Step-by-step explanation:

125+141+213+155+281=915

915 divided by 5=183


3 0
3 years ago
Read 2 more answers
Help! Help!
Nina [5.8K]

Answer:

1. 50%

2.100%

3.0%

4.100%

Step-by-step explanation:

Use https://www.mathsisfun.com/data/standard-deviation-calculator.html for later references.

8 0
3 years ago
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