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Temka [501]
3 years ago
8

Abby is buying a rectangular widescreen TV that she will hang on the wall between two windows such that the longer side of the T

V is horizontal. The windows are 363636 inches apart horizontally, and a widescreen TV is approximately twice as wide as it is tall. Which of the following could be the diagonal length of a widescreen TV that fits between the windows?
Mathematics
1 answer:
olasank [31]3 years ago
8 0

s us gsneyshqsosyshdhd tji s

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According to the latest survey the mean world lifespan is 68.8 years the university of Oregon wants to see if the average life s
pishuonlain [190]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

µ = 68.8

For the alternative hypothesis,

µ ≠ 68.8

This is a two tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 26,

Degrees of freedom, df = n - 1 = 26 - 1 = 25

t = (x - µ)/(s/√n)

Where

x = sample mean = 72.8

µ = population mean = 68.8

s = samples standard deviation = 2.5

t = (72.8 - 68.8)/(2.5/√26) = 8.16

We would determine the p value using the t test calculator. It becomes

p < 0.00001

Assuming a significance level of 0.05, then

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average life span of the residence of Oregon differs from the world average.

4 0
3 years ago
When you finally retire, you want to be able to draw from an account an annual salary of $100,000 for 20 years. Approximately ho
tankabanditka [31]
PV = P(1 - (1 + r)^-n) / r; where P is the periodic withdrawal = $100,000; r = rate = 5% = 0.05; n = number of periods = 20 years.

PV = 100000(1 - (1 + 0.05)^-20) / 0.05 = 100000(1 - 1.05^-20) / 0.05 = 100000(1 - 0.3769) / 0.05 = 100000(0.6231) / 0.05 = 100000(12.4622) = 1,246,221 ≈ $1,250,000
4 0
4 years ago
Read 2 more answers
What is 4*54<br> brainiest
nirvana33 [79]

Answer:

2 x54 + 2 x 54

108 + 108

216

Step-by-step explanation:

8 0
3 years ago
Please help me with this problem
sineoko [7]

Answer:

4

Step-by-step explanation:

\frac{ {3x}^{2} -2x + 7}{2x+5}  \\  \frac{3( - 1) {}^{2}  - 2( - 1) + 7}{2( - 1) + 5 }  \\  \frac{3 + 2 + 7}{ - 2 + 5}  \\  \frac{12}{3}  = 4

7 0
3 years ago
Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 3a cubed and 4a cubed
Over [174]

Answer:

106.4622 a^{3}

Step-by-step explanation:

Given the information:

  • A right triangle
  • Leg lengths of (3a)^{3} and (4a)^{3}

Use the pytagon theory to find the hypotenuse of the triangle

a^{2}  + b^{2}  = c^{2}

<=>((3a)^{3}) ^{2}  + ((4a)^{3}) ^{2}  = c^{2}

<=>(3a)^{6} + (4a)^{6} = c^{2}  

<=> c^{2}  = 4285a^{6}

Take the square root of both sides

<=> c = 69.4622 a^{3}

=> expression in simplest form for the perimeter of a right triangle is:

(3a)^{3} + (4a)^{3} + 69.4622 a^{3}  

= 27a^{3}  + 64a^{3}  + 69.4622 a^{3}  

= 106.4622 a^{3}

8 0
3 years ago
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