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wolverine [178]
2 years ago
5

Pls help me im so confused and i need this done!

Mathematics
2 answers:
lawyer [7]2 years ago
5 0

Answer:

y = (1/3)x - 9

Step-by-step explanation:

We know that m = 1/3

The function will be in the form:

y = (1/3)x + b

Let's find b by plugging in the coordinates of the point, in the function:

-7 = (1/3)*6 + b

b = -9

Therefore:

y = (1/6)x - 9

Shalnov [3]2 years ago
4 0

Answer:

y + 7 =  \frac{1}{3} (x - 6)

Step-by-step explanation:

using equation y=mx+c where y is -7, x is 6 and m is 1/3

equate them in the equation to work out c

y = mx + c

- 7 =  \frac{1}{3} (6) + c

1/3 × 6 is 2

- 7 = 2 + c

subtract 2 on both sides to find c

- 7 - 2 = c

c =  - 9

The equation is

y =  \frac{1}{3} x - 9

based out of the following options you have:

i would expand each equation you have and equate it in y=mx+c to see where you have the same equation as above.

It looks like the third option is correct:

writing out the third option

y + 7 =  \frac{1}{3} (x - 6)

expanding the right side my multiplying. 1/3 × x is 1/3x. 1/3 × -6 is -2

y + 7 = \frac{1}{3} x - 2

subtract 7 on both sides so you have y on its own

y =  \frac{1}{3} x - 2 - 7

y =  \frac{1}{3} x - 9

so the third option is the same equation as y=1/3x - 9

answer:

y + 7 =  \frac{1}{3} (x - 6)

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The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hun
Alisiya [41]

Answer:

<h2>8.54 units</h2>

Step-by-step explanation:

Given,

Perpendicular ( p ) = 8 units

Base ( b ) = 3 units

Hypotenuse ( h ) = ?

Using Pythagoras theorem:

{h}^{2}  =  {p}^{2}  +  {b}^{2}

plug the values

{h}^{2}  =  {8}^{2}  +  {3}^{2}

Evaluate the power

{h}^{2}  = 64 + 9

Calculate the sum

{h}^{2}  = 73

Squaring on both sides

h =  \sqrt{73}

Calculate

h = 8.54 units

Hope this helps..

Best regards!

5 0
4 years ago
Please help me thank you
dangina [55]
The answer is 1/27


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butalik [34]
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3 0
3 years ago
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured
FrozenT [24]

Answer:

The p value obtained was a low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of of driver fatalities related to alcohol is less from 0.77 or 77%.  

Step-by-step explanation:

1) Data given and notation n  

n=53 represent the random sample taken

X=35 represent the automobile driver fatalities in a certain county involved with an intoxicated driver

\hat p=\frac{35}{53}=0.660 estimated proportion of automobile driver fatalities in a certain county involved with an intoxicated driver

p_o=0.77 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the population proportion of driver fatalities related to alcohol is less than 77% or 0.77 in Kit Carson:  

Null hypothesis:p\geq 0.77  

Alternative hypothesis:p < 0.77  

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.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.660 -0.77}{\sqrt{\frac{0.77(1-0.77)}{53}}}=-1.903

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This methos 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 significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is an unilateral lower test the p value would be:  

p_v =P(z  

So the p value obtained was a low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of of driver fatalities related to alcohol is less from 0.77 or 77%.  

8 0
3 years ago
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