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Andrej [43]
3 years ago
10

How do we prove that a line is a tangent of a circle ​

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0

Answer:

if the line makes an angle of 90° with the radius of the circle at the point of contact of the tangent and the circle

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What is the solution to the system of equations
yKpoI14uk [10]

The solution is the set of numbers that can be written in place of
all the variables and make all of the equations true.

If you're asking for the actual numbers, there's nobody in the world
who could find those without seeing the system of equations.

7 0
3 years ago
Suppose the standard deviation of a normal population is known to be 3, and H0 asserts that the mean is equal to 12. A random sa
blagie [28]

Answer:

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

p_v =P(z>1.9)=0.0287  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=12.95 represent the sample mean

\sigma=3 represent the population standard deviation for the sample  

n=36 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 12, the system of hypothesis would be:  

Null hypothesis:\mu \leq 12  

Alternative hypothesis:\mu > 12  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

P-value  

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

p_v =P(z>1.9)=0.0287  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

4 0
3 years ago
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Maria uses paper squares to create a rectangle. Joey cuts all of Maria’s squares in half to create triangles. He uses all the tr
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9 squares because if there are 18 triangles in it then you divide 18 by 2 and get 9
6 0
3 years ago
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Solve the equation using the distributive property and properties ofequally 1/2 (x+6)=18 what is the value of X
Natali [406]

x = 30

The distributive property says that we need to multiply what's in the brackets by 1/2 (so 1/2*x and 1/2*6) to get the equation 1/2x + 3 = 18.

Then we need to subtract our constant, 3, from boths sides to get 1/2x = 15.

Multiply both sides by two to isolate x and you get x = 30.

Hope this helps! :)

7 0
2 years ago
The hockey team won 63 out of the 84 games it played this year.what percent of the games did the team win
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63 is 75% of 84.
Percent of a Total
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3 years ago
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