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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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An irrational number between 1/2 and 3/4
prohojiy [21]

Answer:

2.743/4

I guess?

4 0
4 years ago
Claim amounts for wind damage to insured homes are independent random variables with common density f(x) = ( 3 x4 , x > 1 0 ,
Irina-Kira [14]

f_X(x)=\begin{cases}\dfrac3{x^4}&\text{for }x>1\\\\0&\text{otherwise}\end{cases}

This distribution has expectation

E[X]=\displaystyle\int_{-\infty}^\infty xf_X(x)\,\mathrm dx=\int_1^\infty\frac3{x^3}\,\mathrm dx=\frac32

a. The probability that X falls below the average/expectation is

P\left(X

b. Denote by X_{(3)} the largest of the three claims X_1,X_2,X_3. Then the density of this maximum order statistic is

f_{X_{(3)}}(x)=3f_X(x)F_X(x)^2

where F_X(x)=P(X\le x) is the distribution function for X. This is given by

F_X(x)=\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt=\begin{cases}0&\text{for }x

So we have

f_{X_{(3)}}(x)=\begin{cases}0&\text{for }x1\end{cases}

and the expectation is

E[X_{(3)}]=\displaystyle\int_{-\infty}^\infty xf_{X_{(3)}}(x)\,\mathrm dx=\int_1^\infty\frac9{x^3}\left(1-\frac1{x^3}\right)^2\,\mathrm dx=\frac{81}{40}=\boxed{2.025}

c. Denote by X_{(1)} the smallest of the three claims. X_{(1)} has density

f_{X_{(1)}}(x)=3f_X(x)(1-F_X(x))^2=\begin{cases}0&\text{for }x1\end{cases}

so the expectation is

E[X_{(1)}]=\displaystyle\int_{-\infty}^\infty xf_{X_{(1)}}(x)\,\mathrm dx=\int_1^\infty\frac9{x^9}\,\mathrm dx=\frac98=\boxed{1.125}

3 0
4 years ago
At Which values of x does the function f(x) have a vertical asymptote? Check all that apply
LUCKY_DIMON [66]

Answer:

C, D and E

Step-by-step explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

solve 3x(x - 1)(x + 5) = 0

Equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 1 = 0 ⇒ x = 1

x + 5 = 0 ⇒ x = - 5

Vertical asymptotes at x = -5, x = 1 and x = 0

8 0
4 years ago
Which equation shows an example of the associative property of addition?
Nat2105 [25]

The associative property states that we can regroup the terms of an expression and obtain the same result.

We have then:

a + (b + c) = (a + b) + c

The expression that complies with this property is given by:

(-4 + i) + 4i = -4 + (i + 4i)

Answer:

An equation that shows an example of the associative property of addition is:

a. (- 4 + i) + 4i = -4 + (i + 4i)

6 0
3 years ago
Read 2 more answers
The number of seconds between lightning flash and the following thunderclap may be used to estimate, in kilometers, how far away
My name is Ann [436]

Answer:

4.08 km

Step-by-step explanation:

we must know what is the speed of sound to determine the distance at which the ray originated

The speed at which the sound of lightning travels is approximately 0.340km/s

then

d = 0.340km/s*12 s= 4.08 km

5 0
3 years ago
Read 2 more answers
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