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2 years ago

Answer the triangle

Mathematics

1 answer:

zloy xaker [14]2 years ago

6 0

Answer:

Step-by-step explanation:

Assuming it is a right triangle, use the Pythagorean Theorem.

Let x be the length of the vertical leg.

x² + 8² = 10²

x² = 10² - 8² = 36

x = √36 = 6 in

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Solve the system by the substitution method.

Ghella [55]

Answer:

A) The solution set is (6,-8).

Step-by-step explanation:

3x - y = 26

-3x - 3x Subtract 3x from both sides

-y = -3x + 26 Divide both sides by -1

y = 3x - 26

Now plug this into 7x + 8y = -22 to solve for x

7x + 8(3x - 26) = -22 Distribute

7x + 24x - 208 = -22 Combine like terms

31x - 208 = -22

+ 208 + 208 Add 208 to both sides

31x = 186 Divide both sides by 31

x = 6

Plug this into y = 3x - 26 to solve for y

y = 3(6) - 26 Multiply

y = 18 - 26 Subtract

y = -8

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The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consume

AfilCa [17]

Answer:

Yes. The male and female consumers differ in the amounts they spend.

Step-by-step explanation:

We can express the null and alternative hypothesis as:

$H_0: \mu_m=\mu_w\\\\H_1: \mu_m\neq\mu_w$

It is assumed a significance level of 0.05.

The standard deviation of the difference of means is calculated as:

$s=\sqrt{\frac{s_m^2}{n_m} +\frac{s_w^2}{n_w} } =\sqrt{\frac{35^2}{40} +\frac{20^2}{30} } =\sqrt{30.625+13.333} =\sqrt{43.958} =6.63$

The test statistic is

$t=\frac{(M_m-M_w)-0}{s}=\frac{135.67-68.64}{6.63}=10.11$

The degrees of freedom are:

$df=n_1+n_2-2=40+30-2=68$

The P-value for t=10.11 is P=0, so it is smaller than the significance level. The null hypothesis is rejected.

We can conclude that male and female consumers differ in the amounts they spend.

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