(3/5) squared. help!

Step-by-step explanation:

6 customers per hour [tex]=1[tex] customer per 10 minutes

[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)

Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]

Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.

Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]

[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]

a)[tex] \begin{array}{c}

P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\

P(X<12)=0.699 \end{array}[/tex]

[tex]\begin{aligned}

&\begin{array}{c}

P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\

P(X>20)=0.1353

\end{array}\\[/tex]

&\text { c) }\\

&P(8<X<15)\\

&\begin{array}{l}

=P(X<15)-P(X<8) \\

=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\

=\exp (-8 / \beta)-\exp (-15 / \beta) \\

=e^{-0.8}-e^{-1.5} \\

=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\

\quad P(8<X<15)=0.2262

\end{array}

\end{aligned}

\begin{aligned}

&\text { d) }\\

&\begin{array}{l}

P(14<X<22) \\

=P(X<22)-P(X<14) \\

=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\

=\exp (-14 / \beta)-\exp (-22 / \beta) \\

=e^{-1.4}-e^{-2.2} \\

=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\

P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\

P(X<14 \cup X>22)=0.8642

\end{array}

\end{aligned}

Answer:

C. {x|x is an odd natural number between 1 and 67}

Step-by-step explanation:

B and C is also correct if the natural number is defined to be started with 1: positive integer,

but if it's defined to be non-negative real number then only C

Set-builder notation of the given set is  {[tex]x | x[/tex] is an odd natural number less than [tex]68[/tex]}.

" Set is defined as the collection of the given object with certain properties."

According to the question,

Given set,

[tex]\{1,3,5, ..., 67\}[/tex]

[tex]'x'[/tex] represents the variable

A. {[tex]x | x[/tex] is an even natural numbers less than [tex]68[/tex]}.

Even numbers are multiple of 2, given set does not represents set of even numbers.

Option(A) is not the correct answer.

B. { [tex]x | x[/tex] is an odd natural number less than [tex]68[/tex]}.

[tex]\{1,3,5, ..., 67\}[/tex] represents set of odd numbers , all numbers are less than 68.

Hence, Option (B) is the correct answer.

C. {[tex]x |x[/tex] is an odd natural number between [tex]1[/tex] and [tex]67[/tex]} means [tex]\{ 3, 5, 7,...., 65\}[/tex]

Here between  [tex]1[/tex] and [tex]67[/tex] excludes  [tex]1[/tex] and [tex]67[/tex]. But in the given set  [tex]1[/tex] and [tex]67[/tex]

are included.

Option (C) is not the correct answer.

D.  {[tex]x |x[/tex] is an odd natural number greater than [tex]1[/tex]} means [tex]\{ 1, 3, 5,...........\}[/tex]

Here this set goes till infinity.

Option (D) is not the correct answer.

Hence, Option (B) is the correct answer.

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Answer:

63 sq ft

Step-by-step explanation:

The formula for the area of a trapezoid is

A = h(a + b)/2  where a and b are the lengths of the parallel sides and h is the distance between them

A = 7(11 + 7)/2

   = 7(18)/2

   =  63 sq ft

Answer:

100$

Step-by-step explanation:

400/4 = 100

HOPE THIS HELPS

Plzz mark brainliest

If spent $2000 on new furniture. The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments. Then $400 is the monthly payments

Two or more expressions with an Equal sign is called as Equation.

Given,

Spent $2000 on new furniture.

The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments

The remaining balance can be calculated

$2000-$400=$1600

Now $1600 is to be paid in four months

Divide $1600 by 4 as we have to pay it in 4 months

1600/4

400 per month.

Hence $400 is the monthly payment.

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Answer:

I think the answer is 672 please be right

Answer:

4e²f(5e³f-4)

Step-by-step explanation:

Answer:

23 because i know it i have done that

Step-by-step explanation:

Answer:

B. 12 in.

Step-by-step explanation:

Diameter = 5 in.

Diagonal = 13 in.

Apply Pythagorean theorem to find the height of the cylinder.

Thus:

13² - 5² = height²

144 = height²

√144 = height

12 in. = height

Answer:

B. 12 in.

Step-by-step explanation:

Answer:

17.85% for 1 year

Step-by-step explanation:

Answer:

C = dπ

37.68 = d(3.14)

d = 12 inches

2r = d

2r = 12

radius = 6 inches

Answer:

m=18

Step-by-step explanation:

If 10 is 15. The scale factor is 150%. Times 10 by 1.5 to get 15. Times 12 by 1.5 to get 18.

Answer:

a=64

b=112

c=78

d=88

Step-by-step explanation:

hope this helps have a nice day !!!

Answer:

Hope this helps! If I can have brainliest I'm trying to rank up.

Step-by-step explanation:

3.4 is 100 times more than 0.034.

0.034 is 1/100 of 3.4.

We look at the statements about the values of 0.034 and 3.40 are true.

0.034 times 100 = 3.4 , When we multiply by 100 we move the decimal point two units to the right .

So, 3.4 is 100 times more than 0.034.

3.4 times 1/100 = 0.034 , When we divide by 100 we move the decimal point two units to the left .

So, 0.034 is 1/100 of 3.4

Answer:

theres no graph though...

Step-by-step explanation:

id love to help

9514 1404 393

Answer:

  a) -1

  b) 4A -3

Step-by-step explanation:

a) The function for x < 2 simplifies to ...

  f(x) = (x -3)(x -2)/(x -2)

  f(x) = x -3

Then f(2-) = 2 -3 = -1

The limit is -1.

__

b) The value for x=2 is ...

  f(2) = A(2^2) -4(2) +5

  f(2) = 4A -3 . . . . the limit at x→2+

Answer:

3x+5

Step-by-step explanation:

You just have to combine like factors.

Hope this helps! Have a good day!

Answer:

the measure of what?????

Answer:

7.5 * 10 ^- 4

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

the answer is 1/2.

if you simplify 3/6 you can find the solution.

Answer:

1/2

Step-by-step explanation:

 the fractions have like denominators, so subtract the numerators

10-4/12 = 6/12

simplify

6/12 = 1/2

Answer:

222 ft

Step-by-step explanation:

add 15 ft to each side of the length and width

L = 28 + 30 = 58

W = 23 + 30 = 53

perimeter = 2(L + W) = 2(58 + 53) = 222 ft

Answer:

222 ft

Step-by-step explanation:

The fence must be 15x2 (30) feet wider and 15x2 (30) feet longer, since the fence must be 15ft away at all points. Take 23+30 to find width, and take 28+30 to find length. You get that the fence is 53 ft. wide and 58 ft long. Feet of fencing is the same as asking for perimeter, so 53+53+58+58=222 feet of fencing

Answer:

tan−1(10/0.8)

Step-by-step explanation:

Answer:

B: y= 3(1/3)^x

Step-by-step explanation:

I graphed it on Desmos

Answer:

Answer: -14 gallons. Given : Seven days ago, the gas tank on Roses car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. ∵ 20> 6 , it means there is decrease in the amount gasoline.

Step-by-step explanation:

Your welcome :)

Answer:

x = + 7 or -7

Step-by-step explanation:

61 base 8 = 6*8+1 base 10 = 49

x^2=49

x = + 7 or - 7 base 10

x = + 7 or -7 base 8

Answer:

we need a picture to answer the question correctly

Step-by-step explanation:

Answer:

Step-by-step explanation:

root(23) - 8 < root(23) - 3      -3 is greater than -8

3 root(62) > 3 root(59)          62 > 59  Since the numbers are positive the roots of the larger number is going to be larger than the roots of the smaller number

-root(50) < - 3

The root of 50 is about 7. - 7 is smaller than - 3. Think money. Would you rather pay 3 dollars for a cup of coffee than 7 dollars for a cup of coffee?

root 15 + 2  < root(65) - 1

root(15) is roughly 4 when 2 is added to it, the result is about 6

root (65) is a touch over 8. When 1 is subtracted the result is about 7.

That's larger than the left side.

Answer:

85.4

Step-by-step explanation:

Answer:

y-3=x

so the value of y is 3 more than x. displaying the drop down menu would help narrow down the options, but I hope this helps