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Alisiya [41]
2 years ago
14

A line passes through the point ( -10, 4) and has a slope of 1/2

Mathematics
1 answer:
qwelly [4]2 years ago
3 0

Answer:

y-4=\frac{1}{2} (x+10)

Step-by-step explanation:

Point-slope form: y-y_1=m(x-x_1) when the given point is (x_1,y_1) and the slope is m

y-y_1=m(x-x_1)

Plug in the point (-10,4)

y-4=m(x-(-10))

Two negatives make a positive

y-4=m(x+10)

Plug in the slope

y-4=\frac{1}{2} (x+10)

I hope this helps!

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HELP MEE!!!|||||||||Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use 3
natulia [17]

Answer: There are several information's of immense importance already given in the question. Let us write them down first.

Diameter of the cylinder = 6 inches

Then

Radius of the cylinder = 3 inches.

Height of the cylinder = 3 * radius

                                  = 3 * 3

                                  = 9 inches

Volume of the cylinder = (pi) * (Radius)^2 * Height

                                   = 3.14 * (3)^2 * 9

                                   = 3.14 * 9 * 9

                                   = 254.34 cubic inches

7 0
2 years ago
What percent of 4c in each expression? <br> 0.2c
Ymorist [56]

The percentage of 4c in the expression 0.2c is 2000%

<h3>How to determine the percentage of 4c?</h3>

The expression is given as:

0.2c

The percentage of 4c is then calculated as:

4c/0.2c

Evaluate the quotient

20

Express as percentage

2000%

Hence, the percentage of 4c in 0.2c is 2000%

Read more about percentages at:

brainly.com/question/843074

#SPJ1

7 0
2 years ago
a coin is tossed and a six-sided die number 1 through 6 is rolled. Find the probability of tossing a head and then rolled a numb
pantera1 [17]

Answer:

since the six sided die is numbered,1 ,2 ,3 ,4 , 5, and 6.

numbers greater than 1 are 5 in number.

so, probability is = 5/6.

4 0
2 years ago
Simplify the expression: 2(x+h)^2 - 2x^2 over (x+h) - x
Karolina [17]

Answer:

4x

Step-by-step explanation:


4 0
3 years ago
A TV station claims that 38% of the 6:00 - 7:00 pm viewing audience watches its evening news program. A consumer group believes
Elena L [17]

Answer:

z=\frac{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374  

p_v =P(Z  

So the p value obtained was a very 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 people that regularly watch the TV station’s news program is significantly less than 0.38 .  

Step-by-step explanation:

1) Data given and notation

n=830 represent the random sample taken

X=282 represent the people that regularly watch the TV station’s news program

\hat p=\frac{282}{830}=0.340 estimated proportion of people that regularly watch the TV station’s news program

p_o=0.38 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 proportion is less than 0.38:  

Null hypothesis:p\geq 0.38  

Alternative hypothesis:p < 0.38  

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{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374  

4) 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 significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

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

p_v =P(Z  

So the p value obtained was a very 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 people that regularly watch the TV station’s news program is significantly less than 0.38 .  

3 0
3 years ago
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