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3 years ago

Find the missing probability.

Mathematics

1 answer:

LekaFEV [45]3 years ago

6 0

<h3>Answer: P(B) = 7/20</h3>

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Work Shown:

Given info

P(A) = 7/20

P(A∩B)=49/400

P(B) = unknown

--------------------

P(A∩B) = P(A)*P(B), assuming A and B are independent events

49/400 = (7/20)*P(B)

(7/20)*P(B) = 49/400

P(B) = (20/7)(49/400)

P(B) = (20*49)/(7*400)

P(B) = (20*7*7)/(7*20*20)

P(B) = 7/20

---------------------

Note how

P(A∩B) = P(A)*P(B)

P(A∩B) = (7/20)*(7/20)

P(A∩B) = (7*7)/(20*20)

P(A∩B) = 49/400

which helps to confirm the answer.

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14w^9- 19w^9 Help please

zhuklara [117]

Answer:

-5w^9.

Step-by-step explanation:

These two terms are what we call, 'like terms'. This means that they are terms whose variables and exponents are the same. 14w^9- 19w^9 have the variable w^9 in common.

In these cases, all we do is use the coefficients (the number in front of the variable). Hence, 14w^9- 19w^9, quite literally turns into, 14-19. If we complete the sum, 14-19= -5. Put it all together, we have -5w^9.

Hope this helps!

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3 years ago

What is the equation of the line whose slope is 1/3 and y-intercept is -4?

faltersainse [42]

Answer:

y=1/3x-4

Step-by-step explanation:

the slope-intercept format of the line is y=mx+b, where m is the slope and b is the y intercept.

we are given the slope (1/3) and the y intercpet (-4).

substitute the numbers into the equation

y=1/3x-4

the answer is y=1/3x-4

hope this helps!

3 0

3 years ago

The area of a parallelogram is 44.4 square feet and its height is 7.4 feet. What is the length of the base? Do not round your an

aliya0001 [1]

The length of the base is 6. You can use the formula b=a/h to find the base.

8 0

4 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is

lidiya [134]

Answer:

The value of t test statistics is -2.25.

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is under filling the bags.

A 25 bag sample had a mean of 393 grams with a standard deviation of 20.

Let $\mu$ = mean filling of bags by the machine.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 402 gram {means that the the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 402 gram {means that the the machine is under filling the bags}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean bag filling = 393 grams

s = sample standard deviation = 20 grams

n = sample of bags = 25

So, test statistics = $\frac{393-402}{\frac{20}{\sqrt{25} } }$ ~ $t_2_4$

= -2.25

The value of t test statistics is -2.25.

5 0

3 years ago

Which of the following describes how to graph the line whose equation is y = x - 1?

jenyasd209 [6]

You would need to substitute a number for y. I would probably put 0 for y which would then give you x.

y = 0

x = 1

Then you can easily graph the point. :)

7 0

4 years ago