9 tenths plus 7 hundredths =

Answer:

The answer is $3.09

Step-by-step explanation:

Hope this helps

Answer:

a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.

Four components means that [tex]n = 4[/tex]

Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]

a) Find the probability that exactly two of the four components last longer than 1000 hours.

This is [tex]P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) Find the probability that the subsystem operates longer than 1000 hours.

It will operate if at least two compoents last longer than 1000 hours. So

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]

[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]

0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Answer:

Step-by-step explanation:

Circumference is 2pir

So 14pi meters

Answer:

y= -x - 8

Step-by-step explanation:

To write an equation in slope-intercept form, we naturally need both the slope and the y-intercept. Here, our y-intercept is -8, and our slope is -1. The general form of a line in slope intercept form is y = mx + b, where m is the slope and b is the y intercept. Using our values of m = -1 and b = -8 then gives us the equation y = -x - 8.

Answer:

m= 0

Step-by-step explanation:

6=m+6

6−6=m+6−6

m=0

brainliest would be appreciated. have a great day :)

Answer:

Step-by-step explanation:

this is exactly the same as the 1st one,  just  they put it in a different orientation.   sooo use law of cosines , where

QR = c

a = 12

b = 23

cos(120) = cos (P)

c = sq rt [ a^2+b^2﹣2*a*b*cos(P) ]

QR = sq rt [ 12^2 + 23^2 - 2* 12*23*cos(120) ]

QR = sq rt [ 144 + 529 - 552 * (-0.5 0 ]

QR = sq rt [ 673 + 276 ]

QR = sq rt [ 949 ]

QR = 30.8058

rounded to nearest 10th is

QR = 30.8  :)

Answer:

9/8 teaspoon

Step-by-step explanation:

The original ratio is 0.75:0.66 (x:y). We need to find x when y = 1.

0.66*1.5 = 1

So, if the original y was multiplied by 1.5 to get 1 (which we need) then we can multiply the original x to get our answer.

0.75*1.5 = 1.125

Convert into fractional form:

1.125 = 9/8

Your answer is 9/8 teaspoon of cinnamon per one can of muffins.

Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?

Answer:

8h=p

Step-by-step explanation:

P is pay

H is hour

u make 8 dollars for an hour, so for h hours it would be 8h

Answer:

Area = 40 cm²

Step-by-step explanation:

Area of triangle is derived by the formula,

Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Length of Base = 8 cm

Height of the triangle = 10 cm

Therefore, area of the given triangle = [tex]\frac{1}{2}(8)(10)[/tex]

                                                             = 40 cm²

Answer:

Step-by-step explanation:

C

Answer: A

Step-by-step explanation:

There u go

Answer:

x = -5

Step-by-step explanation:

move the variable tothe left hand side change the sign

-x-7= -2

Calculate the sum

-x =5

change the sign on both of the equations

x =

Answer:

513

Step-by-step explanation:

549- 36 = 513

Answer:

2x-3x=24____eqn 1

3x+4y=2____eqn 2

solve eqn 1 and 2 simultaneously using elimination method

eliminate x use the coefficients of x in the two equations to multiply each other i.e

3(2x-3y=24)

2(3x+4y=2)

6x-9y=72

6x+8y=4

eliminate x using the subtraction sign(-)

6x-6x-9y-(+8y)=72-4

-9y-8y=68

-17y=68

divide both side by the coefficient of y

y=68/-17

y=-4

put y=-4 in eqn 2

3x+4y=2

3x+4(-4)=2

3x-16=2

collect like term

3x=2+16

3x=18

divide both side by the coefficient of x

x=18/3

x=6

since we're asked to find x-y

6-(-4)

6+4=10

0.5

Step-by-step explanation:

1/6 times 3 equals 0.5 or 3/6 or 1/2

Answer:

2500

Step-by-step explanation:

50020%50020%

Convert 20%20% to a decimal.

5000.25000.2

Divide 500500 by 0.20.2.

2500

Answer: y=-2

Step-by-step explanation:

8y=-16

divide by 8 on each side

y=-2

Answer:

greater than lol

Step-by-step explanation:

Answer:

5/7 is grater than 2/8

Step-by-step explanation:

5/7 = 0.714

2/8 = 0.25

therefore 5/7 is grater than 2/8

Answer:

5.34 pages/h

Step-by-step explanation:

4/45 = p/60

p ≈ 5.34

Answer:

Step-by-step explanation:

3/4 of an hour is the same as 0.75

Write a proportion.

4 (pages)/0.75 (hours)=p(pages)/1 hour

Cross multiply and divide

(4x1)÷0.75=5.33 (rounded to the nearest hundred)

p=5.33

Marcia can type 5.33 pages per hour.

Answer:

Square root of 3

Step-by-step explanation:

Answer:

can you help me with this math am not good enough

Answer:

n-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 792÷ 36=22

2) 1/2 ÷ 3 = 1/6

3) D

4) its 10,00 cause 7.741 x 10 = 77,410

5) the answer in decimal is 60.089

Answer:

Step-by-step explanation:

<2, <3, <6 have the measure of 135 degrees

Answer:

B. 1.5 cups

Step-by-step explanation:

6/8 = 0.75

each person gets 0.75 each

Since 2 people chose not to drink the juice. the left overs would be 0.75*2

0.75*2=1.5

Answer:

x = 32 is incorrect

Step-by-step explanation:

[tex]32 = \frac{1}{2} (x + 16) \\ \\ 32 \times 2 = x + 16 \\ \\ 64 = x + 16 \\ \\ x = 64 - 16 \\ \\ x = 48 \\ \\ y =360-(48+114 + 16) \\ \\ y =360-178 \\ \\y = 182 \\ \\ 4 \times n = 6 \times 3 \\ \\ n = \frac{18}{4} \\ \\ n = 4.5[/tex]

Answer:

acceleration

Explanation:

Newtons second law: "Force is equal to the change in momentum per change in time. For a constant mass, force equals mass times acceleration."