At a factory that produces pistons for cars, Machine 1 produced 174 satisfactory pistons and 116 unsatisfactory pistons today. Machine 2 produced 180 satisfactory pistons and 20 unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today's batch. What is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory

Answers

Answer 1

Answer:

[tex]0.7[/tex] is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory

Step-by-step explanation:

The two events are independent of each other.

Hence the probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 is equal  probability of choosing satisfactory piston from Machine 1 + probability of choosing unsatisfactory piston from Machine 2

Substituting the given values we get

Probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 =[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]

=[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]

=[tex]= \frac{174}{290} + \frac{20}{200}\\= 0.6 + 0.1\\= 0.7[/tex]


Related Questions

Help meh plsssssssssssssssssssssss

Answers

Answer:

the first one is 6 ,9, 13.5

Step-by-step explanation:

I need help. Please check this problem for accuracy I turn it in tomorrow.​

Answers

Answer:

you are 100% correct (^_^)

Step-by-step explanation:

What is unknown number in proportion?

Answers

Answer:

x = 2.4/20= 0.12

Step-by-step explanation:

Multiply both sides by 4 to eliminate the fraction 1/4:

1      20

--- = ------

x      2.4

Next, we cross-multiply.  This eliminates the fractions:

20x = 2.4

Dividing both sides by 20 results in an equation for x:  x = 2.4/20= 0.12

3- 8 + 4(3x + 3)
+2y
Thanks!!!

Answers

Answer:

7+12x+2y

Step-by-step explanation:

3-8+(12x + 12)+2y=

-5+(12x +12)+2y=

7+12x+2y

Answer:

Simplified, your answer should be 12x + 2y + 7

Step-by-step explanation:

Hope this helps! :)

Have a nice day! ♥

math algebra HELP!!!!

Answers

Answer:

y = 32

Step-by-step explanation:

[tex]\frac{1}{2} y + 22 = 38[/tex]

Subtract 22 from both sides to isolate the y variable.

[tex]\frac{1}{2} y = 16[/tex]

Divide both sides by [tex]\frac{1}{2}[/tex], which is the same as multiplying by 2.

y = 32

1/2y + 22 = 38

         -22    -22

1/2y = 16

x2      x2   ---> This is because if 1/2y = 26, that means y times 1/2 is 26, but we                  want to know what y times 1 is because y times 1 is equal to y so we multiply by 2 because 1/2 times 2 equals 1.

y = 32

According to the Centers for Disease Control, about 18% of adolescents age 12-19 are obese. Suppose we take a random sample of 30 adolescents and find the proportion in our sample who are obese. We record this value. Now, repeat this many more times so that we have a great many sample proportions drawn from this population. Suppose we make a dotplot of the sample proportions. Would the dotplot be a visualization of the population distribution, the distribution of a sample, or the sampling distribution of proportions?

Answers

Answer:

the sampling distribution of proportions

Step-by-step explanation:

A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions

Can someone explain this to me? I really need help. Thx!

Answers

Answer:

3 to the 4th power.

Step-by-step explanation:

Basically, here 3 to the 3rd power is 27. Multiplying it by 3 is only adding another power, making it 81, which is the same answer to 3 to the 4th power if that makes sense.

twelve men can build a house in 5 days so 4 men can build the same project in how many days?​

Answers

Answer:

15 days

Step-by-step explanation:

Answer:

15 days

Step-by-step explanation:

as

12×5/4

=15

hope it helps you

Help
==================

Answers

Answer: 0.5

Step-by-step explanation:

17 is half of 34 and 1/2 = 0.5

Answer: 0.5  is this second grade

solve each equation for given variable
-5i -15 = 15

Answers

Answer:

i= -6

Step-by-step explanation:

-5i-15=15

if we use inverse operation here, it would be -5i=30, so i= -6

First you regroup the terms .
-15 - 15i = 15
Since -15i - 5i = 15 is false , there is no solution

3a+2b-8a+b
What is the answer

Answers

(3a) - (8a) = -5a
2b + b = 3b
-5a + 3b

Step-by-step explanation:

3a+2b+8a-b

Combine like terms

Like tems are 3a and -8a

3 a - 8 a = -5a

-5a +2b+ b

combine like terms

2b +b = 3b

therefore the answer is

-5a + 3b

Hope it helpful

Pls help meeee :))))))

Answers

Answer:

A. 1.80

Step-by-step explanation:

Answer:

A. 1.80

Explanation:


Answer:
Need help with this plz

Answers

Answer:

(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)

                          10x+70=180

                                 10x=110

                                     x=11

(b) ∠C = 2x-10

           = 2(11)-10

           =  12°

Tom had 3 times as many pencils than Max. Tom then gave 24 pencils to Max and they now had the same amount of pencils. How many pencils did they have altogether?​

Answers

Answer:

24×3=72

Sooo the answer 72✨

The side of the base of a square pyramid is increasing at a rate of 666 meters per minute and the height of the pyramid is decreasing at a rate of 111 meter per minute. At a certain instant, the base side is 333 meters and the height is 999 meters. What is the rate of change of the volume of the pyramid at that instant (in cubic meters per minute)

Answers

Answer:

[tex]105m^3/min[/tex]

Step-by-step explanation:

We are given that

Base side of square pyramid, a=3 m

Height of square pyramid, h=9m

[tex]\frac{da}{dt}=6m/min[/tex]

[tex]\frac{dh}{dt}=-1/min[/tex]

We have to find  the rate of change of the volume of the pyramid at that instant.

Volume of square pyramid, V=[tex]\frac{1}{3}a^2h[/tex]

Differentiate w.r.t t

[tex]\frac{dV}{dt}=\frac{1}{3}(2ah\frac{da}{dt}+a^2\frac{dh}{dt})[/tex]

Substitute the values

[tex]\frac{dV}{dt}=\frac{1}{3}(2(3)(9)(6)+(3^2)(-1)[/tex]

[tex]\frac{dV}{dt}=105m^3/min[/tex]

Hence, the rate of change of the volume of the pyramid at that instant=[tex]105m^3/min[/tex]

Please look at picture

Answers

Answer:

By sum interior angle of triangle is equal to third exterior angle hence

z = x + y

No find x and y

Sum triangle is 180 degree

A triangle has the length of 8.3 and a height of 6.4. What is the area?

Answers

Answer:

Formula Bh x 1/2, so 26.56 is your answer

Multiply 8.3 x 6.4 to get 53.12 then divide it by 2 which is 26.56

Answer:

26.56

Step-by-step explanation:

<) Madison is organizing a 10K race. She is ordering cases of bottled water for the runners.
Each case contains 20 bottles of water. Madison wants to know the number of bottles, b,
she will receive based on the number of cases she orders, c.
) The variable b is the
dependent
variable.
The variable c is the
independent
variable.
) Write an equation that gives the total number of bottles, b, when Madison orders c cases.
+
=)
C
b
20

Answers

Answer:

b= 20 • c

b is equalled to how many bottles, which c is equalled to how many cases, since there is no number for how many cases then is just the variable "c".

The equation representing the number of bottles is c = 20b

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x - 5 = 16 is an equation.

Given that, Madison ordered c cases of the bottle with each case having 20 bottles,

So, for c cases she will have 20b bottles.

The equation is :-

c = 20b

Here,

c is dependent variable

b is independent variable

Hence, the equation representing the number of bottles is c = 20b

Learn more about equations, click;

https://brainly.com/question/29538993

#SPJ2

Bob has 17/23 left of a wall to demolish. Each swing of a sledgehammer brings down an additional 17/161 of the wall. How many more swings will it take him to bring down all of the wall?

Answers

(17/23)/(17/161) = 161/23 = 7

A spherical metal object with a mass of 13.0g has a diameter of 1.3cm. Calculate the density of the metal.

Answers

Answer:

11.304 kg/m³

Step-by-step explanation:

0.65cm radius

Volume is 1.15 cm³

.013/.00115

please help me understand this

Answers

Answer:

whats your snap ill help

Step-by-step explanation:

One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?

Answers

Answer:

8 apples for 9.25

Step-by-step explanation:

because 6.25 divided by 5 is 1.25, making each apple $1.25. and 9.25 divided by 8 is rounded to 1.16, making each apple cost $1.16.

Write 73/22 as a decimal.

Answers

3.318 is correct.

Just divide :)

Answer:

the answer of decimal is 331.82

Let f be the function given by f(x) = x +
Vx+1
X - 1
Find and simplify f(5).

Answers

Answer:

A)4

Step-by-step explanation:

Since (3+1)^1/2=2

and 3-1=2

2/2=1

3+1=4

Tennis star Rafael Nadal lost at the Australian Open. How many Grand Slams has he won?

Answers

Answer: 22

Step-by-step explanation:

carmen is taller than ramon but shorter than ricardo. carmen is shorter than ryan who is taller than ricardo. who is the tallest? who is the shortest?

Answers

Answer:

ramon is the shortest

ryan is the tallest

carmen is taller than ramon

carmen is shorter than ricardo

carmen is shorter than ryan

ryan is taller than ricardo

12-x
6
x+3
4
Solve for x

Answers

Step-by-step explanation:

x = 0 (I don't know what the result of this operation is and I need it to know the x but that's what I can do)

If an object goes from 50 mph to 30 mph in 5 seconds, what is its acceleration?
WILL MARK BRAINLIEST!

Answers

Answer:

-4 mph/sec

Step-by-step explanation:

Answer: -4 mph/s

Step-by-step explanation:

Remember the formula:

FinalVelocity = InitialVelocity + (acceleration)(time)

50 = 30 + (a)(5)

a = (30 - 50)/5

a = -4 mph/s

What is the solution to this inequality? 7x +18 > -3

x<-3
x<3
x>-3
x>3​

Answers

x > -3

Step-by-step explanation:

7x + 18 > -37x > -3 -187x > -21x > -21÷7x > -3

MARK ME AS BRAINLISTPLZ FOLLOW ME

Why was the invention of the mechanical reaper important?
A. The reaper separated cotton fibers from cotton seed much faster than the manual method used earlier.
B. The reaper made it possible to communicate very quickly across a wire.
C. The reaper replaced the old method of sewing clothes by hand.
D. The reaper could cut grain much faster than the older method of harvesting by hand with a scythe.

Answers

Answer:

A.) The reaper separated cotton fibers from cotton seed much faster than the manual

method used earlier.

B.) The reaper made it possible to communicate very quickly across a wire.

C.) The reaper replaced the old method of sewing clothes by hand.

D.) The reaper could cut grain much faster than the older method of harvesting by hand

with a scythe.Step-by-step explanation:

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