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3 years ago

11

The length of two sides of a triangle are 10 cm and 8 cm which measure cannot be the length of the third side of the triangle

2 answers:

erik [133]3 years ago

6 0

I think the 3rd side is 6

koban [17]3 years ago

3 0

Answer:

<u>Triangle inequality theorem:</u>

10 + 8 > x ⇒ x < 18
10 + x > 8 ⇒ x > -2
8 + x > 10 ⇒ x > 2

<u>Combined the inequality is:</u>

2 < x < 18

The length of the third side can't be 2 or smaller or 18 or greater

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What undefined terms are needed to define a line segment?

Kisachek [45]

I think it would be B but not 100% sure

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3 years ago

A student believes that the average grade on the statistics final examination was 87. A sample of 36 final examinations was take

Fed [463]

Answer:

The p-value for this test is 0.1375.

Step-by-step explanation:

A student believes that the average grade on the statistics final examination was 87. The student wants to test whether the average is different from 87 at 90% level of confidence.

At the null hypothesis, we test if the average is 87, that is:

$H_0: \mu = 87$

At the alternate hypothesis, we test if the average is different from 87, that is:

$H_a: \mu \neq 87$

The test statistic is:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $s$ is the standard deviation of the sample and n is the size of the sample.

87 is tested at the null hypothesis:

This means that $\mu = 87$

The average grade in the sample was 83.96 with a standard deviation of 12. Sample of 36

This means that $X = 83.96, s = 12, n = 36$

Value of the test-statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{83.96 - 87}{\frac{12}{\sqrt{36}}}$

$t = -1.52$

Pvalue:

Probability of the sample mean differing of 87, which means that we have a two-tailed test, with t = -1.52 and 36 - 1 = 35 degrees of freedom.

With the help of a calculator, the pvalue is of 0.1375.

The p-value for this test is 0.1375.

3 0

3 years ago

Evaluate the exponential function f(x)=(1/2)^x. Which value completes this table?

zheka24 [161]

0.5^-1=2
the answer is 2

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3 years ago

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Find an equation of the plane through the point(1, 5,-1) and perpendicular to the vector (1, 5, 1). Do this problem in the stand

Vladimir79 [104]

Answer:

<h2>x+5y+z = 25</h2>

Step-by-step explanation:

Given a plane passing through the point(1, 5,-1) and perpendicular to the vector (1, 5, 1), the equation of the plane can be expressed generally as;

a(x-x₀)+b(y-y₀)+c(z-z₀) = 0 where (x₀, y₀, z₀) is the point on the plane and (a, b,c) is the normal vector perpendicular to the plane i.e (1,5,1)

Given the point P (1, 5, -1) and the normal vector n(1, 5, 1)

x₀ = 1, y₀ =5, z₀ = -1, a = 1, b = 5 and c = 1

Substituting this point in the formula we will have;

a(x-x₀)+b(y-y₀)+c(z-z₀) = 0

1(x-1)+5(y-5)+1(z-(-1)) = 0

(x-1)+5(y-5)+(z+1) = 0

x-1+5y-25+z+1 = 0

x+5y+z-1-25+1 = 0

x+5y+z-25 = 0

x+5y+z = 25

The final expression gives the equation of the plane.

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3 years ago

Shawn has 25 coins, all nickels and dimes. The total value is $2.00. How many of each coin does he have?

olga55 [171]

15 dimes and 10 nickels

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3 years ago

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