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Answer:

42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

60 x 30 =

60 x 0.3 = 18

60 - 18 = 42.

Answer and Step-by-step explanation: This function is a probability density function of a random variable X:

[tex]f(x)=\frac{3(8x-x^{2})}{256}[/tex]

and to calculate probabilities, we will have to integrate it:

[tex]P(X<x)=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

Solving:

[tex]P(X<x)=\frac{3}{256}(4x^{2}-\frac{x^{3}}{3} )[/tex]

Then:

a. P(X < 5)

[tex]P(X<5)=\int\limits^5_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]P(X<5)=\frac{3}{256}(100-\frac{125}{3} )[/tex]

[tex]P(X<5)=\frac{3}{256}(\frac{300-125}{3} )[/tex]

[tex]P(X<5)=\frac{175}{256}[/tex]

P(X < 5) = 0.683

b. P(X < 9)

Since density function's upper limit is 8, probability of x < 9 is 100% or 1.

So, P(X < 9) = 1

c. P(5 < X < 7)

[tex]P(5<X<7)=\int\limits^7_5 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]P(5<X<7)=\frac{3}{256}[4(7)^{2}-\frac{7^{3}}{3}-4(5)^{2}+\frac{5^{3}}{3}][/tex]

[tex]P(5<X<7)=\frac{3}{256}[96-\frac{218}{3} ][/tex]

[tex]P(5<X<7)=\frac{70}{256}[/tex]

P(5 < X < 7) = 0.273

d. P(X > 3)

[tex]P(X>3)=\int\limits^8_3 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]P(X>3)=\frac{3}{256}[256-\frac{512}{3}-36+9 ][/tex]

[tex]P(X>3)=\frac{3}{256}(229-\frac{512}{3} )[/tex]

[tex]P(X>3)=\frac{175}{256}[/tex]

P (X > 3) = 0.683

e. P(X < x) = 0.95

[tex]0.95=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]\frac{3}{256}[\frac{12x^{2}-x^{3}}{3} ] =0.95[/tex]

[tex]\frac{12x^{2}-x^{3}}{256}=0.95[/tex]

[tex]12x^{2}-x^{3}=243.2[/tex]

[tex]-x^{3}+12x^{2}-243.2=0[/tex]

Solving this cubic equation, we have three values for x:

x₁ = -3.909

x₂ = 8.992

x₃ = 6.917

The value of x will the one between 0 and 8, which are the limits of the function. So, value of x which gives a probability of 0.95 is x = 6.917.

Answer:

4x+2x² + 4

Step-by-step explanation:

Hope This Helps!!

Answer:

8.6

Step-by-step explanation:

Answer:

10₊0.40x

Step-by-step explanation:

Because it starts off by being 10 dollars plus 0.40 times however many refills you get

Answer:

40

Step-by-step explanation:

A rhombus diagonals form perpendicular angles. It also bisects and form 4 right triangles. Looking at triangle MAS, we can use pythagorean theorem to find the side MA.

[tex]ms {}^{2} + sa {}^{2} = {ma}^{2} [/tex]

ms=6, sa =8 so we plug that in.

[tex]6 {}^{2} + {8}^{2} = ma {}^{2} [/tex]

Simplify

[tex]36 + 64 = ma {}^{2} [/tex]

[tex]100 = ma {}^{2} [/tex]

take sqr root

[tex] \sqrt{100} = ma[/tex]

[tex]ma = 10[/tex]

Now let find the perimeter

Since perimeter of a Rhombus is 4a where a is the length of a side. We plug it in

[tex]4(10) = 40[/tex]

The answer is 40

9514 1404 393

Answer:

  $16,850

Step-by-step explanation:

The sale price is 1 -24% = 76% of the original price (p). An equation is ...

  12806 = 0.76p

  12806/0.76 = p = 16850

The original price of the vehicle was $16,850.

Answer:

Your answer is

2 times per min So Function.....

f(x)=n= 2x

where n= items

x= min

Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.

Answer:

Step-by-step explanation:

6727 BCS they add 2 form 6725 and it becomes the answer if 69. Yw

Answer:

I believe your answer would be C

Answer:

90 minutes

Step-by-step explanation:

an hour is 60 minutes+ another 30 minutes= 90

Answer:

279

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

A rhombus as both acute and obtuse angles that add up to 180 on each side

Answer:

5/1

Step-by-step explanation:

Answer:

5/1

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

28/35 as a percent =

First, simplify the fraction.

28/35 = 4/5

Next, turn the simplified fraction into a denominator of 100.

4/5 = 80/100

80/100 = 80%

Answer:

y = 5x + 7

Step-by-step explanation:

1. Substitue the numbers into their spots.

7 = 5(2)+b

2. Find b by simplifying

7 = 10 + b

-3 = b

3. Substitute it back in since parallel lines have the same slope.

Answer:

90,000 Mg would be the amount of protein.

Answer:

120 degrees

Step-by-step explanation:

50+70=120

Answer:

x

100

Step-by-step explanation:

Answer:

Two.

Step-by-step explanation:

If Ellie moves five boxes, and Jace can move one for every two Ellie moves, Jace can move two boxes.

Answer:

[tex]44-\sqrt{n}[/tex]

Answer:

141,243

Step-by-step explanation:

1. Use PEMDAS

(300)(470) - 78 + 344 - 23 (Do muti first)

141,000 - 78 + 344 - 23 (You can do any order now)

141,243

Answer:

7 hours 30 minutes

Step-by-step explanation:

Jane clocks into work at 7:30 and goes to lunch at 11:30. (4 hours)

4 hours so far.

takes 1 hour break and returns for 12:30.

She finishes at 4. Time from 12:30 to 4 is (3h30)

3h30 + 4 = 7h30m

Check yourself ^

Answer:

x0.58

Step-by-step explanation:

1-0.42=0.58

:)

Answer:

1mm

Step-by-step explanation:

1 × 1 × 1

good luck, i hope this helps :)

Answer:

1 m (milliliter)

Step-by-step explanation:

To find the volume, you need to know the formula for volume

The formula is

length × width × height.

So,

1 mm (length)

x

1 mm (width)

x

1 mm (height)

is 1 mm

Because 1 x 1 x 1 is just 1

Answer:

16 ;

17

Step-by-step explanation:

Number of cavities = 10

Number of parts chosen = 2

Number of cavities affected by temperature malfunction = 2

A.)

Number of samples that contain exactly one conforming part :

2C1 * 10-2C2-1

2C1 * 8C1

Combination formula :

nCr = n! ÷ (n-r)! r!

Using calculator :

2C1 * 8C1 = 2 * 8 = 16

B)

b. How many samples contain at least 1 nonconforming part?

10C2 - 8C2 = 45 - 28 = 17