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3 years ago

A boathouse costs $3000 a month to operate, and it spends $750 each

Mathematics

1 answer:

weeeeeb [17]3 years ago

3 0

<h2>Answer:200b-3000</h2>

Step-by-step explanation:

Let $b$ be the number of boats the boat house dock.

It is given that the boat house spends $ $750$ and charges $ $950$ for each boat.

Let $p$ be the profit associate with each boat.

So,profit associated with each boat= $p=$ $950-750=$200$

It is also given that there exist a fixed cost of $ $3000$ for a month.

So,the net profit is $p\times b-3000=$ $200b-3000$

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2x-9<-1 pleassssssse help me

e-lub [12.9K]

Answer:

x <4

Step-by-step explanation:

2x-9<-1

Add 9 to each side

2x-9+9<-1+9

2x < 8

Divide each side by 2

2x/2 < 8/2

x <4

5 0

3 years ago

What is the area of a triangle whose side is 17 meters long

Lunna [17]

Answer:

125.141

Step-by-step explanation:

Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.

17 is our hypotenuse

17/2 = 8.5, this is one of our legs

The other leg is our height, which we will find.

We use Pythagoras Theorem to find the height/leg: $a^{2} +b^{2} =c^{2}$

$17^{2} -8.5^{2} = 216.75$

$\sqrt{216.75}$ = 14.72243186

Now, we use another formula to find the area of the triangle: $\frac{Base*Height}{2}$

14.72243186 × 17 = 250.2813416

250.2813416 ÷ 2 = <u>125.1406708</u>

8 0

3 years ago

Shanna is planning a trip from Dallas, Texas, to San Diego, California. She knows that the distance she will travel is

enot [183]

Answer:

4.67 inches

Step-by-step explanation:

Shanna is planning a trip from Dallas, Texas, to San Diego, California.

She will travel about = 1,400 miles

The scale of a map is 300 miles = 1 inches

The trip of 1,400 miles = $\frac{1400}{300}$

= 4.66666 inches ≈ 4.67 inches

Her trip is 4.67 inches far on the map.

3 0

3 years ago

The angle of elevation of the top of a tower from a point 100m away is 45 degrees. What is the height of the tower to the neares

OLEGan [10]

<h3>Answer: 100 meters</h3>

===========================================

Explanation:

If you draw out the diagram, then you'll find that a 45-45-90 triangle forms. The nice thing about this type of triangle is that the two legs are always the same length. The horizontal leg is 100 meters, so the vertical leg must also be 100 meters.

Side note: this type of triangle is an isosceles right triangle.

---------

You could use the tangent rule to get the same thing

tan(angle) = opposite/adjacent

tan(45) = 100/x

1 = 100/x

1*x = 100

x = 100

In this case, the opposite leg is the vertical leg since it is furthest from the angle of elevation.

5 0

3 years ago

Read 2 more answers

In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the

sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

<em>Let </em> $\hat p$ <em> = sample proportion of households who own a 4K television.</em>

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion of households own a 4K television = 35%

n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } }$ ) = P(Z > 3.67) = 1 - P(Z $\leq$ 3.67)

= 1 - 0.99988 = 0.00012

<em>Now, in the z table the P(Z </em> $\leq$ <em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.</em>

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

8 0

3 years ago