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777dan777 [17]
3 years ago
14

The slope of the line that contains the points (2, 11) and (0, 5 ) is 3. Which of the following equations represents this line?

A. y = 3x + 9 B. y = 3x + 11 C. y = 3x + 5 D. y = 3x - 5
Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

C

Step-by-step explanation:

This is your current equation: y= 3x + b. Next, plug in one of your coordinates to the equation. It doesn't matter which one. I'm going to use the second ordered pair, so it should look like this: 5 = 3(0) + b. Multiply 3 and 0 to get 5 = b. So, your equation is y = 3x + 5. The correct answer is C. Hope this helped!

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Please help!!! I’m really confused can someone explain 8 and 9
alexgriva [62]

Answer:

8.=150 9.=200

Step-by-step explanation:

7 0
3 years ago
What is 20.6 divided by 9.7? (Include remainder)
andre [41]
20.6 divided by 9.7 is 2.12371134
5 0
3 years ago
Help ASAP!
Tema [17]

Answer:

B

Step-by-step explanation:

\boxed{area \: of \: sector =  \frac{1}{2} {r}^{2} θ }

Radius= diameter ÷2

r= 32 ÷2

r= 16

\frac{1}{2}  {r}^{2} θ =  \frac{512\pi}{3}

Substitute r= 16,

\frac{1}{2} ( {16}^{2} )(θ) =  \frac{512\pi}{3}

128 \: θ =  \frac{512\pi}{3}  \\ θ =  \frac{512\pi}{3}  \div 128 \\ θ =  \frac{512\pi}{384}

Divide the denominator and numerator by 128:

θ =  \frac{4\pi}{3}

Thus, the answer is B.

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}

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
2 years ago
Read 2 more answers
Solve (x + 3)2 – 5 = 0 using the quadratic formula.
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

(x+3)² -5 =0 , use the formula (a+b) ² = a²+b²+2ab

x²+9 +6x -5 =0 , combine like terms

x²+6x +4 =0, use the quadratic formula x = (-b±√b²-4ac)/2a

x= (-6 ±√6²-4*1*4)/2*1

x= (-6 ± √36-16) /2

x= (-6±√20)/2

x=(-6 +2√5)/2 and x=( -6-2√5) /2, factor 2 in the numerator and simplify

x= -3 +√5 and x= -3 -√5

4 0
3 years ago
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