Suppose that 8% of all cars produced at Plant A have a certain defect, and 5% of all cars produced at Plant B have this defect. A quality control manager takes separate random samples of 150 cars from each plant. The manager will then look at the difference (A-B) between the proportions of cars with the defect in each sample.
What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Choose 1 answer:
A. Approximately normal, because we expect 12 defective and 138 defect-free cars from Plant A, and 15 and 135 from Plant B, and all of these counts are at least 10.
B. Approximately normal, because we expect 16 defective and 134 defect-free cars from Plant A, and 10 and 140 from Plant B, and all of these counts are at least 10.
C. Not normal, because we expect fewer than 10 defective cars in Plant A.
D. Not normal, because we expect fewer than 10 defective cars in Plant B.
Answer:
Not normal, because we expect fewer than 10 defective cars in plant B
Step-by-step explanation:
Answer: D
Not normal, because we expect fewer than 10 defective cars in Plant B. [tex].05*150=7.5[/tex]
Step-by-step explanation: Khan Answer
HELP ME IM GOING TO FAIL WILL GIVE BRAINLESS
Step-by-step explanation:
wt=swqt=srpw=ptpu=prtr=sqpr=puws=quwr=urplz mark as brainliest plz frd
Find the slope of the line through each pair of points.
Type your answer as a fraction.
(-1, -11), (16, -8)
Answer:
m = 3/17
Step-by-step explanation:
M = -1y/-11c + 16y/-8x = 3/17
A factory increased its production by 22%and produced 4900tonnes. How many tonnes was it producing before
Answer:
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please help me on this will give you brainliest!!
Answer:
a) -13 B) 82
Step-by-step explanation:
a) -34+21= -13
b) 73+9= 82
Paul’s dad drives on the highway at an average rate of 70 miles per hour. If the entire trip is driven on a highway, how many driving hours will be required for the trip
Answer:
The answer would be based off of how many miles the dad went so if he went to say 140 miles then it would be 2 hours.
Step-by-step explanation:
Just go to your calculator and divide how many miles he went by 70 then it will give you the amout of hours he went.
Have a great day! :)
A pentagon is transformed according to the R 180 degrees. Which is another way to state the transformation?
Answer:
(x, y) → (–x, –y)
Step-by-step explanation:
Given
[tex]R_0, 180^{\circ}[/tex]
Required
Another way to write the above transformation
The above transformation means 180 degrees clockwise rotation.
When a coordinate point (x,y) undergoes this type of transformation, the new coordinate point becomes (-x,-y).
Hence, another way to write [tex]R_0, 180^{\circ}[/tex] is (x, y) → (–x, –y)
Ava owns a small business selling clothing. She knows that in the last week 35 customers paid cash, 13 customers used a debit card, and 5 customers used a credit card. Based on these results, express the probability that the next customer will pay with cash as a fraction in simplest form.
Answer:
Why dont you just do the steps
Step-by-step explanation:
First you have to add it all together then take your second number, aka 35 which gives you
35/53 which then you just get your fraction from that
Probability of next customer paying cash is [tex]\frac{35}{53}[/tex].
Given that,
Number of customer paid cash (a) is 35.Number of customer paid by debit card (b) is 13.Number of customer paid by credit card (c) is 5.According to the scenario, computation of the given data are as follows,
Probability of next customer paying cash = [tex]\frac{a}{(a+b+c)}[/tex]
By putting the value, we get
Probability = [tex]\frac{35}{(35 + 13 + 5)}[/tex]
= [tex]\frac{35}{53}[/tex]
Learn more about probability : https://brainly.com/question/24361544
Which of the following is the slope of the line that passes through the points (- 2, 8) and (10, - 1)
(1) -1/2
(2)-3/4
(3)7/8
(4)9/8
Answer:
2. -3/4
Step-by-step explanation:
slope formula is y2-y1/x2-x1
-1-8/10-(-2)
simplify the two negatives make a positive
-9/12
simplify
-3/4
I need to fill in the blanks i need this before Monday at 10:45 am
Answer:
1. 0.4 cup of sugar
2. 2.5 cup of flour
3. 17.5 cup of flour
4. 2.4 cup of sugar
Step-by-step explanation:
A triangle has a base of 3 inches and an area of 5 to square inches. Find the height of
the triangle. Show your reasoning.
Answer:
Four Is The Answer
Step-by-step explanation:
Thx Me Later
PROBLEM SOLVING When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y in grams) of carbon-14 in the body of an organism after t years is y= a(0.5)^t/5730, where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round your answer to the nearest hundredth.
Answer:
0.01%
Step-by-step explanation:
y=a (0.5)^t/5730
y=a [(0.5)^t/5730]
when you put 0.5^1/5730
it'll give you 0.99
The "equation" is y=a(1-r)^t
so 1-0.99 is 0.01
The percent of carbon-14 released each year will be 50.
What is an exponent?Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.
The equation is given below.
[tex]\rm y= a \left ( 0.5 \right )^{t/5730}[/tex]
Where 'a' is the initial amount (in grams) and 't' represents the number of years.
The equation is also written as,
[tex]\rm y= a \left ( 0.5 \right )^{t/5730}\\\\\rm y= a \left ( 1 - 0.5 \right )^{t/5730}[/tex]
The percent of carbon-14 released each year will be 50.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
7a^3b-7ab^3 needs factoring plz
Answer:
7ab (a+b)(a-b)
Step-by-step explanation:
how do you know 3001x25 is (whatever the answer you get) without using a calculator
explain
Answer:
75,025
Step-by-step explanation:
There are many ways to solve this equation, you can divide 3001 by 4, this way you will know how many hundereds will be in your answer. 4*25=100, so in this case, 3001/4 is 750.25. Then you multiply 750.25 by 100. 750.25*100=75,025.
Find the indicated side of the triangle
Answer:
It's a 30-60-90 triangle so x=6
Step-by-step explanation:
Answer:
90 I think bc I saw the right angle
plz help me and show your work
This is simple:
First of all, let us take the first equation:= 4x - 2y = 8
Put x = 0
= 4 ( 0) - 2 y = 8
= 0 - 2y = 8
= -2y = 8
= y = 8/-2
= y = - 4
So, the solution will be ( 0, -4)
For second equation,= y = ½ x + 2
Put x = 0
= y = ½ × 0 + 2
= y = 0 + 2
= y = 2
So, the solution will be ( 0, 2 ).
Now plot these points on the graph.Note*- I have taken x = 0 for easy calculation, you can take any number of your choice._________________________I'm not sure what the answer is. If you know, please help me out.
Answer:
Is y = (x+8) (x+3)
Answer:
1. y=(x+8)(x+3)
Step-by-step explanation:
Problem to solve:
A bag is filled with red,blue,and green marbles.
Red-70
Blue-120
Green-60
Marble is pulled out of random from the bag. What REDUCED fraction and percent represent the probability that the marble will be green?
HELPpppppp!!!!
721 + 19 =
886 + 33 -
447 22=
915 + 36 =
??
Answer:
Step-by-step explanation:
I dont know if you still need the answers but im on a mathematics streak so imma jus answer dis rq.
$500 12% 3years what is the interest
Answer:
$180 is the Interest.
Hope it helps!
Answer:
702
Step-by-step explanation:
pls answer this....................................................................................................................................................................................................................................................................................................................................................................................is -5x+10 proportional and if it has a positive y intercept
Answer:
d) the graph will not pass through (0, 0).
Step-by-step explanation:
a non-proportional graph doesnt start at 0/doesnt go through the origin.
13) Find the measure of an exterior angle of a regular 20-gon.*
360
n
A) 18°
OB) 20°
0 C) 162
Suppose you were to drop a stone down a well. A falling object obeys the equation s=16(t1)2 , where s is the distance fallen in feet and t is the time in seconds. Sound waves travel at a speed of about 1100 ft/sec, and the time it takes to travel a distance s is t2=s1100 . The total time it takes for you to hear the stone hit the water below equals the time it spent falling plus the time it takes the sound to reach your ear. What is the distance to the water's surface in the well if you hear the stone hit the water 4 seconds after dropping the stone?
Answer:
228.64 ft
Step-by-step explanation:
Given that the total time, t it takes for you to hear the stone hit the water below equals the time it spent falling, t1 plus the time it takes the sound to reach your ear t2.
Given that t = 4s and t = t1 + t2.
So t1 + t2 = 4 (1)
Also s = 16(t1)² and t2 = s/1100
Thus t2 = 16(t1)²/1000
From (1), t2 = 4 - t1
So 4 - t1 = 0.016(t1)²
0.016(t1)² + t1 - 4 = 0
(t1)² + 62.5t1 - 250 = 0
Using the quadratic formula to find t1,
[tex]t1 = \frac{-1 +/- \sqrt{1^{2} - 4 X -4 X 0.016} }{2 X 0.016}\\t1 = \frac{-1 +/- \sqrt{1 + 0.256} }{0.032} \\t1 = \frac{-1 +/- \sqrt{1.256} }{0.032} \\t1 = \frac{-1 +/- {1.121} }{0.032} \\t1 = \frac{-1 + 1.121 }{0.032} or t1 = \frac{-1 - 1.121 }{0.032}\\t1 = 0.121/0.032 or -2.121/0.032\\t1 = 3.78 s or -66.28 s[/tex]
Since t1 cannot be negative, t1 = 3.78 s
So, s = 16(t1)²
= 16(3.78)²
= 16(14.29)
= 228.64 ft
Ravi has to take a walk around a field once. If the field is 15 m long and 20 m wide, then how many metres does he have to walk?
Answer: 70 m
Step-by-step explanation:
The field described has the shape of a rectangle because one side is longer than the other.
The length that Ravi would have to walk therefore is the perimeter of this rectangle.
Perimeter = 2 × ( Length + Width)
= 2 × ( 15 + 20)
= 2 × 35
= 70 m
together dien and jane eat 2/3 a pizza in 4 seconds. how long would it take each of them to eat the whole pizza alone if jane can eat a pizza 5 seconds faster than dien?
BRAINLIEST WILL BE GIVEN
Answer:
10 secs for Jane and Dien is 15 secs
Step-by-step explanation:
Using the together rate, it is found that Jane can eat a pizza in 10 seconds and Dien in 15 seconds.
What is the together rate?It is the sum of each separate rate.
In this problem, the rates are:
Dien's rate: 1/x+5.Jane's rate: 1/x.Together rate: (2/3)/4 = 1/6Hence:
[tex]\frac{1}{x + 5} + \frac{1}{x} = \frac{1}{6}[/tex]
[tex]\frac{x + x + 5}{x(x+5)} = \frac{1}{6}[/tex]
[tex]\frac{2x + 5}{x^2 + 5x} = \frac{1}{6}[/tex]
[tex]x^2 - 7x - 30 = 0[/tex]
[tex](x - 10)(x + 3) = 0[/tex]
The positive solution is x = 10, hence Jane can eat a pizza in 10 seconds and Dien in 15 seconds.
More can be learned about the together rate at https://brainly.com/question/25159431
please help me lol it’s due today
Answer:
0091880102993201019200299219191
[tex]1 \times 666 = 1000[/tex]
Step-by-step explanation:
1+1
Find the volume of a sphere whose radius is 13 feet. Round your answer to two decimal places. (use = 3.14)
Answer:
9,202.77
Step-by-step explanation:
This is off of g/o/o/g//l/e/// btw hope this helped
A scale model NASA is working on for the space shuttle is built in the ratio of 1:15, meaning the actual space shuttle is 15 times larger. If the rocket fuel container on the model is 5 inches long, how many inches long is the rocket fuel container on the actual space shuttle?
Answer: 75 inches
Step-by-step explanation:
From the question, we are informed that a scale model NASA is working on for the space shuttle is built in the ratio of 1:15.
If the rocket fuel container on the model is 5 inches long, the number of inches long is the rocket fuel container on the actual space shuttle will then be:
= 5 × 15.
= 75 inches
the sum of three plus three times x equals 129 which color
Answer:
Yellow I think
Step-by-step explanation:
(3+3)*x=129
Please solve the proof in the picture. It uses either all of the lines or all but one.
Answer:
we cant see the picture-
Step-by-step explanation:
Answer:
Step-by-step explanation:
so do i download it?