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3 years ago

What is the equation of the line that passes through the point ( 4 , 4 ) and has a slope of 0

Mathematics

1 answer:

Valentin [98]3 years ago

6 0

Answer:

y=4

Step-by-step explanation:

x1=4,y1=4,m=0

Equation of a line: y-y1=m(x-x1)

y-4=0(x-4)

y-4=0

y=4

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The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran

Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

5 0

3 years ago

50,000 x (2 + 5/100)<br> 50,000 x (3 + 5/100)<br> 50,000 x (4 + 5/100)<br> 50,000 x (5 + 5/100)

ELEN [110]

Answer:

Solution for What is 5 percent of 50000:

5 percent *50000 =

( 5:100)*50000 =

( 5*50000):100 =

250000:100 = 2500

Step-by-step explanation:

7 0

3 years ago

I’m confused on this one

kvv77 [185]

The answer is 42.

The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).

To find angle E:
$79 + 6x + 11 + 7x - 14 = 180$
Move numbers to the right side:
$6x + 7x = 180 - 79 - 11 + 14$
Combine like terms:
$13x = 104$
Divide both sides by 13:
$x = 8$
The formula for angle E:
$7x - 14$
Plug in the 8:
$7 \times 8 - 14 = 56 - 14 = 42$
The angle measure of E is 42. So angle N is automatically 42 too.

To solidify, we can try to use the formula which they give us for angle N:
$3x + 18 = 24 + 18 = 42$

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3 years ago

What’s the equation for the two points<br> (19, 3) and (20,3)

Orlov [11]

Answer:

Equation of line passing through point A = ( 19 , 3 ) , and point B = ( 20 , 3 ) is

y−3=0

Equation of line passing through point A = ( 19 , 3 ) , and point B = ( 29 , 3 ) is

y=0x+3

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3 years ago

A chef is using olive oil for a salad dressing recipe. He has 3 cups of olive oil. He knows there are 8 fluid ounces in 1 cup, a

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There is 24 table spoons

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3 years ago