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4 years ago

If A and B are independent events, then it must be true that P(BIA) = P(A).

Mathematics

1 answer:

Maksim231197 [3]4 years ago

5 0

Answer:

B. False

Step-by-step explanation:

For independent events, it must be true that ...

P(B|A) = P(B)

The probability of B does not depend on A. That is what makes them independent.

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Andy estimated that he would need 79 feet of lumber for a tree house project. He later found that the actual amount of lumber ne

Radda [10]

Answer:

Step-by-step explanation:

79 divided by 68 is your answer

You can do the math

5 0

3 years ago

Willie left the mall and traveled toward the town hall at an average speed of 40 km/h. Gabriella left two hors later and travele

mezya [45]

Answer:

<em>3 hours</em>

Step-by-step explanation:

Given that:

Average speed of Willie = 40 km/h

After 2 hours, Gabriella traveled in opposite direction at an speed of 70 km/h.

After some time, they are 410 km apart.

To find:

Number of hours = ?

Solution:

For the first two hours, Willie traveled alone.

Formula for distance:

$Distance = Speed \times Time$

Distance traveled in two hours by Willie = $40 \times 2 = 80\ km$

Now, they both travel in opposite directions.

So the relative speed is = 40 + 70 = 110 km/h

The distance traveled by them = 410 - 80 = 330 km

$Time\ taken = \dfrac{330}{110} = 3\ hours$

Therefore, the time taken is <em>3 hours.</em>

5 0

3 years ago

In the above figure (not drawn to scale), Find ∠AEC.

n200080 [17]

Answer:

C. 75°

Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

$m\angle AEC=\frac{110^o+40^o}{2}$

$m\angle AEC=\frac{150^o}{2}$

$m\angle AEC=75^o$

Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.

7 0

4 years ago

Read 2 more answers

A population of 200 animals has a growth rate of 1.03% each year. at this growth rate, the function f(x)=200(1.03)^x gives the p

Y_Kistochka [10]

For this case, the first thing we should do is use the following equation:
f (x) = 200 (1.03) ^ x
We substitute f (x) = 300:
300 = 200 (1.03) ^ x
We clear the value of x:
log1.03 (300/200) = log1.03 ((1.03) ^ x)
x = log1.03 (300/200)
x = 13.72
Answer:
the population will first reach 300 in about 13.72 years.

6 0

3 years ago

Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that

Deffense [45]

Answer:

The F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

Step-by-step explanation:

There are four treatments in the data given, i.e. k = 4.

Total number of observations, n = 12.

Note: degrees of freedom is denoted as df.

For treatment, the degrees of freedom = k-1 = 4-1 =3 df.

The total degrees of freedom = n-1 = 12-1 = 11 df.

The error in degrees of freedom = df (total) - df(treatment)

The error in degrees of freedom = 11 - 3 = 8 df

At α = 0.05 level,from the F table, the F-statistic with (3 , 8)df is 4.07.

Therefore, the F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

8 0

3 years ago