Find the distance between Point A (-7,3) and point B (-4,3) , correct to 2 decimal places. Use distance formula

Helppppppp math !!!!!!!!!!

zhannawk [14.2K]

We conclude that the profit if the company produces 10 units is 1,040 dollars.

<h3></h3><h3>How to find the profit?</h3>

The profit is defined as the difference between the revenue and the costs.

In this case, we know that the revenue and costs are defined by:

R(x) = 200x - 5x^2

C(x) = 360 + 6x

Then the profit equation is:

P(x) = R(x) - C(x).

P(x) = 200x - 5x^2 - (360 + 6x)

P(x) = -5x^2 + 194x - 360

Now we want to find the profit when x = 10, then we will get:

p(10) = -5*10^2 + 194*10 - 360 = 1,040

We conclude that the profit if the company produces 10 units is 1,040 dollars.

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5 0

2 years ago

The heights of 40 randomly chosen men are measured and found to follow a normal distribution. An average height of 175 cm is obt

AVprozaik [17]

Answer:

95% two-sided confidence interval for the true mean heights of men is [168.8 cm , 181.2 cm].

Step-by-step explanation:

We are given that the heights of 40 randomly chosen men are measured and found to follow a normal distribution.

An average height of 175 cm is obtained. The standard deviation of men's heights is 20 cm.

Firstly, the pivotal quantity for 95% confidence interval for the true mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average height = 175 cm

$\sigma$ = population standard deviation = 20 cm

n = sample of men = 40

<em>Here for constructing 95% confidence interval we have used One-sample z test statistics as we know about population standard deviation.</em>

So, 95% confidence interval for the true mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

level of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

<u>95% confidence interval for </u> $\mu$ = [ $\bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ]

= [ $175-1.96 \times }{\frac{20}{\sqrt{40} } }$ , $175+1.96 \times }{\frac{20}{\sqrt{40} } }$ ]

= [168.8 cm , 181.2 cm]

Therefore, 95% confidence interval for the true mean height of men is [168.8 cm , 181.2 cm].

<em>The interpretation of the above interval is that we are 95% confident that the true mean height of men will be between 168.8 cm and 181.2 cm.</em>

3 0

3 years ago

the original price of a pair of sneakers is $89.00 the store advertizes a sale for 15% off what is the sale price for the sneake

4vir4ik [10]

Answer:

$75.65

Step-by-step explanation:

$89 x .15 = $13.35

$89 - $13.35 = $75.65

3 0

3 years ago

What is the correct answer to 20÷2(5+5)?

poizon [28]

Answer:

To answer the question above, we need to know about the rules of mixed count operation. In mixed count operation, we can find plus [+], minus [-], divided [:], multiplication [x] and parenthesis [(...)]. For example, if the operation is: 7 x 5 + 3 - (4 x 3) : 6 = ...

first, we must finish the operation inside the parenthesis symbol, which is (4 x 3), the result is 12

second, we must finish the operation with the multiplication or divided symbol but, if both exist we must finish the far left-side first. for this example is to finish "7 x 5 = 35" first, then finish the next operation with divided symbol "(4 x 3) : 6 = 12 : 6 = 2"

for the last, we finish the operation with plus or minus symbol, but if both exist then we must finish the far left-side first. For this example is to finish "35 + 3 = 38", then finish the next operation which is "38 - 2 = 36".

there are the rules of mixed count operations, to make it clear we finish the example operation step by step

7 x 5 + 3 - (4 x 3) : 6 = ...

7 x 5 + 3 - 12 : 6 = ...

35 + 3 - 12 : 6 = ....

35 + 3 - 2 = ...

38 - 2 = 36.

now the answer to the mixed count operation above 20 : 2 (5 + 5) = ...

20 : 2 x (5 + 5) = ...

20 : 2 x 10 = ...

10 x 10 = 100

the answer of the operation is 100

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Answer Details

Subject: Mathematics

Chapter: Mixed Count Operation

Grade: High School

Keyword: What is the correct answer of 2 2?, How do you explain a math problem?, Do you use Bodmas if there are no Brackets?

7 0

4 years ago

Read 2 more answers

Which lines are perpendicular to the line y – 1 = One-third(x+2)

Valentin [98]

Answer:

$y-1=-3(x+2)$

Step-by-step explanation:

The equation of the given line:

$y-1=\frac{1}{3}(x+2)$

This equation is in the form $y-y_{1}=m(x-x_{1})$ . Therefore, 1/3 is the slope.

To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope). Therefore, the slope of the perpendicular line is -3.

The equation of the perpendicular line: $y-1=-3(x+2)$

4 0

3 years ago