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schepotkina [342]
3 years ago
7

The area of a square game board is 144 sq. in. What is the length of one of the sides of the board?

Mathematics
2 answers:
Anika [276]3 years ago
4 0

Answer:

The length of the game board is 12 inches

Arada [10]3 years ago
3 0
<span>So we want to know what is the lenght of the sides of the board that has an area of A=144 in^2. Well, we know that the area of a square is A=a^2 where a is the side of a square. So the length of the side is square root of the area: sqrt(144)= 12. So the length of the game board is 12 inches.</span>
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Four brothers share 3 pizzas equally. How much of pizza does each get?
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1. A waste management service attempts to design routes so that each of their trucks pick-up on average four tons of garbage or
Galina-37 [17]

Answer:

We conclude that garbage collector's average picking is more than four tons of garbage per day.

Step-by-step explanation:

We are given the following information n the question:

First, we design the null and the alternate hypothesis

H_{0}: \mu \leq 4\text{ tons}\\H_A: \mu > 4\text{ tons}

Significance level = 5% = 0.05

P-value = 0.04

  • The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.
  • P values evaluate how well the sample data support that the null hypothesis is true.
  • P-value is a measure or indicator that helps us to know that whether the sample belongs to the population or not.
  • Null hypothesis states that the sample belongs to the population.
  • A high p-values states that the null hypothesis is true ad the sample belongs to the population.ll.
  • A low p-value suggests that sample provides enough evidence that you the null hypothesis is not true and the sample does not belong to the population.
  • We compare p-value to significance level to obtain our result.

Here,

p-value = 0.04 < Significance level = 0.05

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it. That is there were enough evidence to support the fact that sample does not belong to the population and we conclude that garbage collector's average picking is more than four tons of garbage per day.

6 0
3 years ago
A periscope is 5 feet above the surface of the ocean. Through it can be seen a ship that rises to 50 feet above the water. To th
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<span> Sketch this, assuming the Earth is a sphere with radius R, so a plane slice through the periscope, ship and center of the Earth is a circle of radius R. Draw the lines out from the center (O) of the circle to point A at the top of the periscope and point B at the top of the ship. so that line AB is tangent to the circle at point C. That makes triangles OAC and OBC right triangles, each having the right angle at C. </span>

<span>From the problem, the lengths OA = R+5, OC = R, and OB=R+50. Label the lengths AC = p and BC= q, then use Pythagoras: </span>

<span>R² + p² = (R + 5)² </span>
<span>R² + q² = (R + 50)² </span>

<span>Solve those: </span>
<span>p² = (R + 5)² - R² = 10R - 25 </span>
<span>p = √(10R + 25) </span>

<span>q² = (R + 50)² - R² = 100R + 2500 </span>
<span>q = √(100R + 2500) </span>

<span>Find a good value for the radius R (in ft. units!) and calculate. The distance from periscope top to ship top is (p + q) feet. Convert that to miles for your answer.</span>
8 0
3 years ago
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