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Slav-nsk [51]
3 years ago
6

Mr. Shively’s TV cabinet is 30 inches tall and 40 inches wide. Best Buy is selling 50 inch, 55 inch, 60 inch, and 65 inch TVs. O

f those options, which one should he buy? Explain your answer using mathematics , please explain using Pythagorean theorem.

Mathematics
1 answer:
Simora [160]3 years ago
4 0

Answer:

He should buy a 50 inch TV

Step-by-step explanation:

Using Pythagorean theorem the TV cabinet has a diagonal of :

\sqrt{30^{2} + 40^{2} } = 50

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A child is observing squirrels in the park and notices that some are black and some are gray. For the next five squirrels she se
slavikrds [6]

Answer:

20.48% probability that she will see exactly two black squirrels out of the five

Step-by-step explanation:

For each squirrel, there are only two possible outcomes. Either it is black, or it is not. The probability of a squirrel being black is independent of other squirrels. So we use the binomial probability distribition to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

20% of squirrels are black.

This means that p = 0.2

What is the probability that she will see exactly two black squirrels out of the five?

This is P(X = 2) when n = 5. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{5,2}.(0.2)^{2}.(0.8)^{3} = 0.2048

20.48% probability that she will see exactly two black squirrels out of the five

4 0
3 years ago
I need to factor this equation: 2x^2-2x-12...
Molodets [167]
Factor <span><span><span>2<span>x^2 </span></span>−<span>2x </span></span>− 12</span><span><span><span>
2<span>x^2 </span></span>− <span>2x </span></span>− 12</span><span>
=<span><span>2<span>(<span>x+2</span>)</span></span><span>(<span>x−3</span>)</span></span></span>
Answer:<span><span>
2<span>(<span>x+2</span>)</span></span><span>(<span>x−3</span><span>)</span></span></span>
3 0
3 years ago
An elephant has a mass of 4500 kilograms. How many mice, with a mass of 2×10−2 kilogram each, would it take to equal the mass of
eimsori [14]

Answer:225000 mice

Step-by-step explanation:

Mass of elephant=4500kg

Mass of mice=2x10^(-2)=2/100 kg

Let y be there number of mice

2/100 x y=4500

2y/100=4500

Cross multiply

2y=4500 x 100

2y=450000

Divide both sides by 2

2y/2=450000/2

y=225000

3 0
3 years ago
(I WILL GIVE BRAINLIEST) PLEASE HELP!!
Klio2033 [76]

Answer:

C. I,II,III

Step-by-step explanation:

Absolute value is the distance of a number from 0 on a number line. 6 is 6 units from 0, therefore this option is correct. -6 is 5 units to the left of 0, but it is still 6 units away, therefore this option is correct. 6 is 6 units away from 0, therefore, III is correct. But 0 is 0 units away from 0, therefore this option is incorrect.

6 0
2 years ago
Read 2 more answers
~PLEASE HELP ASAP OFFERING 25 POINTS ASAP PLEASE ANSWER ALL QUESTIONS~
seraphim [82]

6. If 55% of the selling price is markup, the remainder (45%) is the cost. Gaitan can pay up to 45% of 489.50 = $220.28.

7. If 52% of the selling price is markup, the remainder (48%) is the cost. 48% of the selling price is $38.87.

... 0.48 × selling price = cost

... selling price = cost/0.48 = $38.87/0.48 = $80.98

8. If 40% of the selling price is markup, the remainder (60%) is the cost, $12.95.

... 0.60 × selling price = $12.95

... selling price = $12.95/0.60 = $21.58

9. If 35% of the selling price is markup, the remainder (65%) is the cost.

... 0.65 × $24.00/dz = $15.60/dz

10. If 60% of the selling price is markup, the remainder (40%) is the cost. Veronica can pay up to 40% of $600.00 = $240 for the jacket.

4 0
3 years ago
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