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OleMash [197]
2 years ago
15

A state energy agency mailed questionnaires on energy conservation to 1,000 homeowners in the state capital. Five hundred questi

onnaires were returned. Suppose an experiment consists of randomly selecting one of the returned questionnaires. Consider the events:
A: {The home is constructed of brick}
B: {The home is more than 30 years old}
In terms of A and B, describe a home that is constructed of brick and is less than or equal to 30 years old.
A ∩ Bc
A ∩ B
(A ∩ B)c
A ∪ B
Mathematics
1 answer:
guapka [62]2 years ago
8 0

Answer:

A ∩ Bc

Step-by-step explanation:

Home constructed of brick:

Event A

Home is less than or equal to 30 years old.

Event B is: {The home is more than 30 years old}

So the event home is less than or equal to 30 years old is the negation(complement) of B. So Bc.

And:

And means intersection.

We have the intersection of events A and the complement of event B, which is represented by:

A ∩ Bc

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After one week of meals, the bottle of ketchup contains 25% of its original amount. How many ounces are in the bottle after one
Maru [420]

Answer:

25/7 I think not sure though

6 0
3 years ago
Option A<br>Option B<br>Option C<br>Option D​
12345 [234]

Answer:(B) ASA

Step-by-step explanation:

8 0
2 years ago
Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it
ollegr [7]

Answer:

9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

Step-by-step explanation:

Diameter of reamed hole = 0.278 inch

Radius of reamed hole = \frac{0.278}{2} =0.139

Surface area of reamed hole = \pi r^2

Surface area of reamed hole = 3.14 \times  (0.139)^2

Surface area of reamed hole = 0.06066794

Diameter of pin = \frac{9}{32}

Radius of pin =\frac{9}{64}

Surface area of pin = \pi r^2 = 3.14 \times ( \frac{9}{64})^2=0.0620

Since the surface area of pin is more than the surface area of hole .

So, a 9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

7 0
3 years ago
If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di
erica [24]

Hello!

The answer is:

Luke did a work of 308N.m or 308 Joules.

<h2>Why?</h2>

When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.

We can calculate the work done by using the following equation:

Work=Force*distance*Cos(\alpha)

Where,

Work is the transferred energy.

Force, is the force applied to the object.

Distance, is the distance covered due to the applied force.

α, is the angle at the work is done.

We are given the following information to calculate the work done:

Force=22N\\Distance=14m

So, substituting the given information into the equation to calculate work, we have:

Work=Force*distance\\Work=22N*14m=308N.m

Hence, we have that Luke did a work of 308N.m or 308 Jouls.

Have a nice day!

3 0
3 years ago
Tracy McKinney is a disc jockey at radio station WMMM. Her annual salary is $52,750. What is her monthly salary?
attashe74 [19]
Okay, so since her annual salary is <span>$52,750 (the amount she gets a year, all twelve months combined) you're trying to find how much she gets monthly. That would mean we would have to divide her annual salary by 12 to find her monthly salary.

</span>$52,750 ÷ 12 = 4,395.8333333333333
<span>
And since that's a (bothersome) repeating decimal, we're going to have to round it. Once rounded, you would get $</span>4,395.83. That is her monthly salary.
5 0
3 years ago
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