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3 years ago

What is m∠DHG? Enter your answer in the box.

Mathematics

2 answers:

pentagon [3]3 years ago

8 0

Answer:

Step-by-step explanation:

Just took the test hope this helps :)

LenaWriter [7]3 years ago

6 0

the 2 equations given are vertical angles which mean they would equal the same.

Set the two equations to equal each other to solve for x:

6(x-2) = 3x+30

Simplify the left side:

6x-12 = 3x+30

Add 12 to eac side:

6x = 3x+42

Subtract 3x from each side"

3x = 42

Divide both sides by 3:

X = 42/3

X = 14

Now you know X, replace x with 14 in the equation for DHG:

DHG = 6(x-2)

6(14-2)

Simplify:

6(12)

Multiply:

Angle DHG is 72 degrees.

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simplify, i think the answer is 0 but i am not sure please help me clarify this doubt with explanation

vladimir1956 [14]

Answer:

Step-by-step explanation:

When the same quantities are being divided then the result is 1

2 ÷ 2 = 1

- 3 ÷ - 3 = 1

- $8^{5}$ ÷ - $8^{5}$ = 1

3 0

3 years ago

What is the value of "twelve more than the quotient of a number and two, decreased by four" when n = 4?

Blizzard [7]

Answer:

Step-by-step explanation:

Let

the number = n

The quotient of a number and two = n / 2

twelve more than the quotient of a number and two,

(n/2 + 12)

twelve more than the quotient of a number and two, decreased by four

(n/2 + 12) - 4

when n = 4?

(n/2 + 12) - 4

= (4/2 + 12) - 4

= (2 + 12) - 4

= 14 - 4

= 10

7 0

3 years ago

The bad debt ratio for a financial institution is defined to the dollar value of loans defaulted divided by the total dollar val

vlabodo [156]

Answer:

Step-by-step explanation:

From the information given:

Consider X to be the random variable denoting the bad debt ratios for Ohio Bank.

Then, $X \sim N ( \mu, \sigma ^2)$

Thus the null hypothesis and the alternative can be computed as:

Null hypothesis:

$H_o : \mu \leq3.5\%$

Alternative hypothesis

$H_1 : \mu > 3.5\%$

The type I and type II error is as follows:

Type I:

The mean bad debt ratio is > 3.5% when it is not

Type II:

The mean bad debt ratio is ≤ 3.5% when it is not.

The test statistics can be calculated by using the formula:

$t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

where;

sample size n = 7

mean = 6+8+5+9+7+5+8 = 48

sample mean $\overline x =\dfrac{48}{7}$

$\overline x$ = 6.86

sample standard deviation is :

$s = \sqrt{\dfrac{\sum( x -\overline x)^2}{n-1}}$

$s = \sqrt{\dfrac{( 6 -6.86)^2+( 8-6.86)^2+ ( 5 -6.86)^2 + ...+( 7 -6.86)^2+ ( 5 -6.86)^2+( 8 -6.86)^2 }{7-1}}$

s = 1.573

population mean $\mu = 3.5$

Therefore, the test statistics is :

$t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$t = \dfrac{6.86- 3.5}{\dfrac{1.573}{\sqrt{7}}}$

$t = \dfrac{3.36}{\dfrac{1.573}{2.65}}$

$t = \dfrac{3.36\times {2.65}}{{1.573}}$

t = 5.660

At significance level of 0.01

$t_{0.01} = 3.707$

P - value = P(T > 5.66)

P - value = 1 - (T < 5.66)

P - value = 1 - 0.9993

P-value = 0.0007

Therefore, since $t_{0.01} < t$ , we reject the null hypothesis and conclude that the claim that the mean bad debt ratio for Ohio banks is higher than the mean for all financial institutions is true.

4 0

4 years ago

Morgan lives in Austin, Texas, and lost his job when his company decided to reorganize. He had worked there for 3 years, and he

CaHeK987 [17]

Answer:

$455

Step-by-step explanation:

Minimum unemployment benefit in Texas is $69 per week and the maximum is $521.

In order to determine unemployment benefits in Texas, you must first calculate total earnings for the last quarter = 13 x $1,750 x 1/2 = $11,375

Now, you divide that amount by 25, so $11,375 / 25 = $455. Since that amount is below the maximum unemployment benefit per week, then Morgan is going to receive $455.

8 0

3 years ago

Dividing by 1/4 makes a number

erica [24]

Answer:

1 divided by 4 is 0.25

Step-by-step explanation:

calculator....;p

3 0

3 years ago