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3 years ago

Will Give Brainliest Correct Answers Only

Mathematics

1 answer:

oee [108]3 years ago

3 0

Answer:

$9.46$

Step-by-step explanation:

$\sin \theta=\frac{opposite}{hypotenuse}\\\\ \sin 72=\frac{9}{x}\\\\x=\frac{9}{\sin 72}\\\\x=\frac{9}{0.951057}\\\\x=9.4632\approx 9.46$

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Multiples that are shared by two or more numbers are_______

Elanso [62]

Answer:

it is called Common Multiples

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3 years ago

Read 2 more answers

The average household income for a recent year was $30,000. five years earlier the average household income was $24,500. assume

ikadub [295]

Using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

According to the question,

The average household income for a recent year (x₁⁻) = $30,000

The average household income for a recent year (x₂⁻) = $24,500

sample sizes n₁ = n₂ = 34

standard deviation of both samples were $24,500. Thus, s₁ = s₂ = $5928.

Null hypothesis: There is no evidence to believe that the average household income has increased.

H₀ : μ₁ ≤ μ₂

Alternative hypothesis: There is evidence to believe that the average household income has increased.

H₁: μ₁ > μ₂

To check hypothesis we have the formula

Standard error= $\sqrt{\frac{s_{1} ^{2} }{n_{1} } + \frac{s^{2} _{2} }{n_{2} } }$

= $\sqrt{2067128.4706}$

= 1437.7512

Thus, standard error is $1437.7512.

Formula for test statistic = [(x₁⁻ - x₂⁻) - (μ₁ - μ₂)]/standard error

= [(30000 - 24500) - 0]/1437.7512

= 3.8254

The critical value of z at 5% level of significance is 1.6449.

Here, the calculated value is greater than the critical value so we reject H₀.

Hence using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

Learn more about hypothesis test here

brainly.com/question/15060525

#SPJ2

3 0

2 years ago

Find (f*g)(x) when f(x)=x^2-7x+12 and g(x)=7/x^2-16

AleksandrR [38]

Answer:

$(f\cdot g)(x)=\dfrac{7x-21}{x+4}$

Step-by-step explanation:

$(f\cdot g)(x)=f(x)\cdot g(x)=(x^2-7x+12)\cdot\dfrac{7}{x^2-16}\\\\=7\dfrac{(x-3)(x-4)}{(x+4)(x-4)}=\dfrac{7(x-3)}{x+4}\\\\=\dfrac{7x-21}{x+4}$

7 0

4 years ago

[Systems of equations] (/20) 1. Suppose the coefficient matrix of a system of linear equations has a pivot position in every row

Marina86 [1]

Answer:

The system is consistent because the rightmost column of the augmented matrix is not a pivot column.

Step-by-step explanation:

It is given that the coefficient of the matrix of a linear equation has a pivot position in every row.

It is provided by the Existence and Uniqueness theorem that linear system is said to be consistent when only the column in the rightmost of the matrix which is augmented is not a pivot column.

When the linear system is considered consistent, then every solution set consists of either unique solution where there will be no any variables which are free or infinitely many solutions, when there is at least one free variable. This explains why the system is consistent.

For any m x n augmented matrix of any system, if its co-efficient matrix has a pivot position in every row, then there will never be a row of the form [0 .... 0 b].

6 0

3 years ago

determine os valores de x e y sabendo que os numeros x,6 e 27 sao diramente proporcionais aos numeros 2, y e 18 nessa ordem

bazaltina [42]

Answer:

x=3 e y=4

Step-by-step explanation:

x/2=6/y=27/18

...

x/2=27/18

18.x=2.(27)

18x=54

x=54/18

x= 3

...

6/y=27/18

27y=6.(18)

27y=108

y=108/27

y=4

3 0

4 years ago

*Will Give Brainliest* *Correct Answers Only*

Will Give Brainliest Correct Answers Only