1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Cerrena [4.2K]
3 years ago
15

You want to buy the biggest TV you can to fit into the space above your fireplace. The space where you want to put the TV measur

es 30 inches high and 43 inches wide. Given that television screens are measured by their diagonal distance across the screen, what size TV should you buy? Round to the nearest inch.
Mathematics
1 answer:
Gnesinka [82]3 years ago
6 0

30^2+43^2= x^2

900 +1849= 2749

sqr root of 2749 = x

the answer is about 52 in.

You might be interested in
Researchers are investigating the effectiveness of leg-strength training on cycling performance. A sample of 7 men will be selec
ruslelena [56]

Answer:

A. The interval will be narrower if 15 men are used in the sample.

Step-by-step explanation:

Hello!

When all other things remain the same, which of the following statements about the width of the interval is correct?

A. The interval will be narrower if 15 men are used in the sample.

B. The interval will be wider if 15 men are used in the sample.

C. The interval will be narrower if 5 men are used in the sample.

D. The interval will be narrower if the level is increased to 99% confidence.

E. The interval will be wider if the level is decreased to 90% confidence.

Consider that the variable of interest "Xd: Difference between the peak power of a cyclist before training and after training" has a normal distribution. To construct the confidence interval for the population mean of the difference you have to use a pooled t-test.

The general structure for the CI is "point estimate"±" margin fo error"

Any modification to the sample size, sample variance and/or the confidence level affect the length of the interval (amplitude) and the margin of error (semiamplitude)

The margin of error of the interval is:

d= t_{n-1;1-\alpha /2} * (Sd/n)

1) The sample size changes, all other terms of the interval stay the same.

As you can see the margin of error and the sample size (n) have an indirect relationship. This means, that when the sample size increases, the semiamplitude decreases, and when the sample size decreases, the semiamplitude increases.

↓d= t_{n-1;1-\alpha /2} * (Sd/↑n)

↑d= t_{n-1;1-\alpha /2} * (Sd/↓n)

Correct option: A. The interval will be narrower if 15 men are used in the sample.

2) The confidence level has a direct relationship with the semiamplitude of the interval, this means that when the confidence level increases, so do the semiamplitude, and if the level decreases, so do the semiamplitude:

↓d= ↓t_{n-1;1-\alpha /2} * (Sd/n)

↑d= ↑t_{n-1;1-\alpha /2} * (Sd/n)

I hope it helps!

4 0
3 years ago
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on t
Juliette [100K]

Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

Take the derivative of C(x) with respect to x

dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858

7 0
3 years ago
How to factor 25x^2 - 81= 0
dalvyx [7]
Your question is a difference of squares. both terms that need to be factored are squared. to solve take the square root of each put into two terms one of addition and one of subtraction.

anwser= (5x-9)(5x+9)

the reason this works is because when you foil you get
25x²-45x+45x-81 
the middle terms cancel revealing
25x²-81
4 0
3 years ago
Lake Michigan is the fifth largest lake
nikklg [1K]
Yes with a <span>58,016 Square Kilometers</span>
6 0
3 years ago
Read 2 more answers
Draw a X over the multiples of 10. What digit do all multiples of 10 have in common?
nata0808 [166]
All multiples of 10 end in a zero besides the number zero. So 10, 20, 30 and so on....
8 0
3 years ago
Other questions:
  • ¡¡ANSWER MY QUESTION FIRST¡¡<br><br> Can you help me with these questions, please?
    8·1 answer
  • What is a vertical line with a rise over run relationship that does not exist.
    12·1 answer
  • What is the distance between the points (-3, 9) and (5, 1)? Round to the
    6·1 answer
  • Find the value of y. –2y + 16 + 6y = 44
    15·1 answer
  • Stuart planted a shrub that was 64 centimeters tall. He measured the shrub regularly and found that it grew 1.8 centimeters each
    9·1 answer
  • Good morning! I am trying to get my sister her favourite game! However I am 4.78 short! I am willing to trade my 10$ Sephora gif
    15·1 answer
  • Jody is buying a scrapbook and sheets of designer paper. She has $0 and needs at least $18.25 to buy the scrapbook. Each sheet o
    7·1 answer
  • A woman invests $8000 in an account that earns 4.5% simple interest. If the money is invested for 5 years, how much money is in
    12·1 answer
  • I need helppp <br> Solve for e
    15·1 answer
  • A printer designs a tag in the shape of a circle with a smaller circle cut out. She cuts her prototype from a 5 in. by a 7 in. i
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!