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Sophie [7]
3 years ago
14

Write the equation of the line, in slope intercept form, through the following points:

Mathematics
1 answer:
lakkis [162]3 years ago
8 0

Hey!

------------------------------------------------

First, find the slope.

y2-y1/x2-x1

-20-(-5)/21-16

-15/5

-3

------------------------------------------------

Second, find the y-intercept.

We can solve for b with one of the points.

Put into slope-intercept form,

y = -3x + b

Substitute x and y with (16, -5)

-5 = -3(16) + b

-5 = -48 + b

-5 + 48 = -48 + b + 48

43 = b

------------------------------------------------

Third, put in slope-intercept form.

y = mx + b

m = slope

b = y-intercept

y = -3x + 43

------------------------------------------------

Hope This Helped! Good Luck!

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Lines a and b are parallel. The slope of line b is 1/3 . What is the slope of line a?
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Answer:

1/3

Step-by-step explanation:

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2 years ago
Will AWARD BRAINIEST!!!!! 20 POINTS
Vesna [10]

Answer:

6

Step-by-step explanation:

The 3 by 2 rectangle is 6 so 15-6=9

3 x (x-2) x 0.5 = 9

3 x (6-2=4) 4 = 12 / 2 = 6

5 0
2 years ago
Find the value of BC. HELP PLEASE!!
Masteriza [31]

It's an equilateral triangle, therefore

AB = BC = BA

We have the equation:

\dfrac{3}{2}x-12=\dfrac{1}{2}x-2\qquad\text{multiply both sides by 2}\\\\3x-24=1x-4\qquad\text{add 24 to both sides}\\\\3x=x+20\qquad\text{subtract x from both sides}\\\\2x=20\qquad\text{divide both sides by 2}\\\\x=10

BC=BA\to BC=\dfrac{1}{2}(10)-2=5-2=3

<h3>Answer: BC = 3</h3>
6 0
3 years ago
Read 2 more answers
The test statistic of zequals2.32 is obtained when testing the claim that pgreater than0.3. a. Identify the hypothesis test as b
Sonja [21]

Answer:

a) We need to conduct a hypothesis in order to test the claim that the true proportion p is greatr than 0.3, so then the system of hypothesis are.:  

Null hypothesis:p \leq 0.3  

Alternative hypothesis:p > 0.3  

Right tailed test

b) p_v =P(z>2.32)=0.0102  

c) So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is higher than 0.3

Step-by-step explanation:

Part a: Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion p is greatr than 0.3, so then the system of hypothesis are.:  

Null hypothesis:p \leq 0.3  

Alternative hypothesis:p > 0.3  

Right tailed test

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

For this case the statistic is given by z_{calc}= 2.32

Part b: Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.32)=0.0102  

Part c

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is higher than 0.3

6 0
3 years ago
Evaluate 5+x; if x=7
maksim [4K]
X = 7


5 + x can also be written as 5 + 7

5 + 7 = 12
7 0
3 years ago
Read 2 more answers
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