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nikdorinn [45]
3 years ago
10

If Event A and Event B are independent, what is the outcome if Event A occurs with a probability of 0.18 and Event B occurs with

a probability of 0.44?
Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0

Answer:

0.0792

Step-by-step explanation:

Independent events are events in which the outcome of one does not affect the outcome of the other. That means what happens in one event has no effect on what happens in another event.

Mathematically, P(A and B) = P(A) * P(B)

The outcome of this is thus multiplying the probability of A by the probability of B

P(A and B) = 0.18 * 0.44= 0.0792

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A researcher is interested in determining the mean energy consumption of a new
Nana76 [90]

Answer:

The most appropriate  value of the critical value is 2.289.

Step-by-step explanation:

We are given that a researcher takes a random sample of 41 bulbs and determines  that the mean consumption is 1.3 watts per hour with a standard deviation of 0.7.

We have to find that when constructing a 97% confidence interval, which would be the most appropriate  value of the critical value.

Firstly, as we know that the test statistics that would be used here is t-test statistics because we don't know about the population standard deviation.

So, for finding the critical value we will look for t table at (41 - 1 = 40) degrees of freedom at the level of significance will be \frac{1 - 0.97}{2} = 0.015 .

Now, as we can see that in the t table the critical values for P = 1.5% are not given, so we will interpolate between P = 2.5% and P = 1%, i.e;

     \frac{0.015 - 0.025}{0.025-0.01}= \frac{\text{Critcal value}-2.021}{2.021-2.423}

So, the critical value at a 1.5% significance level is 2.289.

7 0
3 years ago
Isabella has a board that is 5.24 feet long and 1.34 feet wide. ​
Masteriza [31]

Answer:

<u>Length of 1 piece= Length of total divided by 8</u>

Step-by-step explanation:

Length of total= 5.24 feet long

Width of total= 1.34 feet wide

Width is divided by 1 line so, there are 2 parts.

Width= 1.34 divided by 2

Width= 0.67 feet wide

Length is divided by 7 lines, so there are 8 parts.

Length= 5.24 divided by 8

Length=0.655 feet long

They are asking for formula to find the length of each piece

<u>Length of 1 piece= Length of total divided by 8</u>

<u></u>

Hope that helps!

8 0
3 years ago
Help please -2x+3=x+12
BARSIC [14]

Step-by-step explanation:

-2x+3=x+12

combin like terms

-2x-x=12-3

-3x=9

x=9/-3

x=-3

3 0
3 years ago
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Gwar [14]

Answer:

3rd group of possible answers is the correct set

Step-by-step explanation:

Each of the three points in the 3rd line of possible answers is a solution of the given equation, as can be verified by substitution:

If x = -2, y = -8(-2) = +16

If x = 3, y = -8(3) =  -24

If x = -4, y = -8(-4) = +32

8 0
3 years ago
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How to find the other endpoint with the given endpoint and midpoint?
prohojiy [21]
To find the other endpoint with a given endpoint and midpoint, you subtract the midpoint values from the endpoint, then with whatever the answer is, you subtract that from the midpoint.
6 0
3 years ago
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