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Assoli18 [71]
2 years ago
14

which pair of variables shows a clear causal link?a person's academic degree and state of birththe cost of aviation fuel and fli

ght durationthe number of lights switched on in a room and the room's brightness a person's annual income and the type of pet owned
Mathematics
1 answer:
DaniilM [7]2 years ago
8 0
The correct answer should be number of lights switched on in a room and the room's brightness

As you turn on more lights, the room gets brighter. Other options are not it because state of birth does not cause you to have higher or lower degrees innately, while the cost of fuel will not be affected by the flight duration. You will pay more for the amount of fuel, but the price of a single gallon would not change. Pets and annual income have nothing in common.
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Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93
Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

M = \frac{a + b}{2}

The standard deviation of the uniform distribution is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniform distribution between 2.93 and 3.1 volts

This means that a = 2.93, b = 3.1. So

Mean:

M = \frac{2.93 + 3.1}{2} = 3.015

Standard deviation:

S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049

What is the probability that a battery has a voltage less than 2.98?

P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

6 0
2 years ago
This is a graph of <−3+4. What is true about point on the graph?
marissa [1.9K]

Answer:cuko kene rene

Step-by-step explanation:

capichi

3 0
2 years ago
Sarah starts a Jewelry making business. She borrows the money for the supplies to start. She borrows $1,500.00 for 2 years at a
LuckyWell [14K]
O would be the answer, but I’m not sure why you have 3
(360.00 to be exact)
3 0
2 years ago
Write the equation of a straight line passing through the point (1,8) and perpendicular to y=3x+2
Neko [114]
Hello there!

The first thing you must do is to find the slope of the line. To do this, find the negative reciprocal of your current equation. Since your current slope is 3, the negative reciprocal of that would be -1/3, which would be your slope.

Now that you have your slope, plug it into the slope intercept equation as well as your known points:
(1,8)  m(slope)=-1/3
8=1(-1/3)+b

Now, solve for b:
8=1(-1/3)+b
8=-1/3+b
b=25/3

Now that you have the slope and the b value, you can conclude that your equation would be:
y=-1/3x+25/3
5 0
3 years ago
F the angle of elevation from the point on the ground to the top of the tree is 34° and the point is 25 feet from the base of th
Viktor [21]

<u>Given:</u>

The angle of elevation from the point on the ground to the top of the tree is 34° and the point is 25 feet from the base of the tree.

We need to determine the height of the tree.

<u>Height of the tree:</u>

Let the height of the tree be h.

The height of the tree can be determined using the trigonometric ratio.

Thus, we have;

tan \ \theta=\frac{opp}{adj}

Substituting the values, we get;

tan \ 34^{\circ}=\frac{h}{25}

Multiplying both sides by 25, we have;

tan \ 34^{\circ} \times 25=h

 0.6745 \times 25=h

       16.8625=h

Rounding off to the nearest tenth of a foot, we get;

16.9=h

Thus, the height of the tree is 16.9 feet.

Hence, Option B is the correct answer.

7 0
3 years ago
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