Answer:
(a) 0.0000245
(b) 0.000025
Step-by-step explanation:
The complete question is:
Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) There are 50 defective chips out of 10,000 shipped. The probability that the first chip randomly selected is defective is 50 /10,000 = 0.005. Compute the probability that two randomly selected chips are defective under the assumption of independent events.
Solution:
(a)
In this case we need to compute the conditional probability of selecting two defective chips, i.e. the selection of the second defective chip is dependent on the first defective chip.
The probability of selecting the first defective chip is:
[tex]P(1D)=\frac{50}{10000}=0.005[/tex]
Now there are 9999 chips left and 49 defective chips among them.
The probability of selecting the second defective chip is:
[tex]P(2D)=\frac{49}{9999}=0.0049[/tex]
Compute the probability that two randomly selected chips are defective using conditional probability as follows:
P (Two defective chips) [tex]=P(1D)\times P(2D)=0.005\times 0.0049=0.0000245[/tex]
Thus, the answer is 0.0000245.
(b)
Compute the probability that two randomly selected chips are defective under the assumption of independent events as follows:
The above statement implies that the selection was done with replacement.
The probability is:
P (Two defective chips) [tex]=P(1D)\times P(2D)[/tex]
[tex]=\frac{50}{10000}\times \frac{50}{10000}\\\\=0.005\times 0.005\\\\=0.000025[/tex]
Thus, the probability that two randomly selected chips are defective under the assumption of independent events is 0.000025.
Mohammed wrote down all the money coming in and out for the month. Select all the expenses
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. How many inches of snow will fall in 24 hours if it continues to snow at this rate?
(1 Point)
A)48 inches
B)36 inches
C)28.5 inches
D) 24 inches
Answer:
B) 36-in
Step-by-step explanation:
i will not bore you with the explanation ;w;
find the standard deviation
Answer:
d. 7.3
Step-by-step explanation:
To get the standard deviation of a population of data, first take the sum of all the values, and divide it by the count to get the mean (average).
75 [1] + 90 [2] + 75 [3] + 80 [4] + 90 [5] + 80 [6] + 100 [7] + 85 [8] + 80 [9] + 85 [10] = 840.
Then divide by the count which is 10.
840/10 = 84 [This is the mean of the data.]
Then subtract every point of data from the mean and square it:
(75-84)^2 + (90-84)^2 + (75-84)^2 + (80-84)^2 + (90-84)^2 + (80-84)^2 + (100-84)^2 + (85-84)^2 + (80-84)^2 + (85-84)^2 = 81 + 36 + 81 + 16 + 36 + 16 + 256 + 1 + 16 + 1 = 540.
Then to get the variance, divide this all by the count.
540/10 = 54 [This is the variance of the data.]
Then all you have to do to get the standard deviation is take the square root of the variance.
√54 = 3√6 ≈ 7.3 [This is the standard deviation of the data.]
Evaluate f(x) = -2x - 5 for x = 3.
A. 11
B. -6
C. -11
D. 1
Answer:
C. -11
Step-by-step explanation:
f(x) = -2x - 5
Plug the 3 in for x
f(3) = -2(3) - 5
Multiply the -2 and 3
f(3) = -6 - 5
Subtract 5 from -6
f(3) = -11
Answer: C -11
Step-by-step explanation:
Its asking you to solve for f(x) which is Y
Y=-2x-5
X is 3
so replace -2x with 3 but only the x
you should get -23 not negative 23 its more of 2 times 3
then multiply -2 by 3 and get -6
add -6 and -5 to get -11
PLEASE HELP IT'S DUE NOW!!! Rob deposited 22% of his paycheck into his savings account. If he deposited $21.67, what was the amount of his paycheck?
Please include all of the work as well as the answer!!! Thank you so much!!
Answer:
56.33
Step-by-step explanation:
because if 78+22=100 then you divide 78 by
21.67 which gets you the answer 56.33
A segment of a line that has an endpoint and extends infinitely in one direction is a
that would be a ray because it has a single endpoint and extends infinetly in one direction.
Solve. -23 = -2a -10 + a
Answer:
13
Step-by-step explanation:
1. Collect like-terms
-23=-a-10
2.Isolate variable
-13=-a
a=13
Answer:
A=13
Step-by-step explanation:
-23=-2a-10+a
add 10 to -23 which is now
-13=-2a+a
now add -2a and a together to get -1a
-13=-1a
divide -1 into both sides to get
13=a
A shoe store has 23 pairs off white tennis shoes out of 90 pairs of shoes. Estimate the percent of white tennis shoes.
Answer:
percent=25.56%
Step-by-step explanation:
Percentages
To know the percentage of having n elements out of a total of m elements, we calculate the ratio n/m and express the result as a percentage.
The shoe store has 23 pairs of white shoes out of 90 total pairs of shoes. The percent of white tennis shoes is calculated as follows:
[tex]\displaystyle percent= \frac{23}{90}*100\%[/tex]
Operating:
percent=25.56%
add the following binary numbers 101 and 111 in base 2
Answer:
1100
Step-by-step explanation:
Number 1 in the decimal system
1012 = 510
Number 2 in the decimal system
1112 = 710
Their sum
5 + 7 = 12
Result in binary form
1210 = 11002
Hope it's the right answer and hope it will help you
Find two consecutive whole numbers that 10 lies between
Answer:
3<√10<4Step-by-step explanation:
Hope this helpsMrs. Johnson wants to order pizza for her students. There are 21 students in her class Her goal was for each student to get 1/5 of a pizza. How many pizza's does she need to order?
Answer:
5 and she will have 4/5 remaining.
Step-by-step explanation:
If you multiply the 5 slices per pizza by 4 pizza's you would be able to feed 20 students. Since her goal is to make sure EACH student gets 1/5 of a pizza she would need to order another one. So she needs to purchase 5 pizzas and would have 4 slices remaining.
(She could always eat those by herself or give them to me lol)
Hope that helps and have a great day!
Answer:
Mrs. Johnson need to order 5 pizzas.
Step-by-step explanation:
1. If you do 5, 10, 15, 20 that’s four
2. it’s not fair to leave one kid out so she needs to order 5 pizzas
What value of x makes this equation true 5(x-3)=20
Answer:
X=7
Step-by-step explanation:
5x - 15 =20
5x=15+30
5x=35
Divide by 5
X=7
Cassie has a small cube-shaped box. Its volume is 64 cubic centimeters.
What is the area of one face of the box? Enter your answer in the box.
PLZ HELP DUE IN 5 MINUTES
Answer: one face is 16 square inches
Step-by-step explanation:
[tex]\sqrt[3]{64} = 4[/tex] side length
4 × 4 = 16 the area of one face
-4 1/2 divided by 2/3
Answer:
-4/27
Step-by-step explanation:
first write -4 1/2 as a fraction, which is -9/2. Then you divide by 1/3:
-9/2 / 2/3=
-2/9 * 2/3 =
-4/27
Good luck on your report card!
405,000,000−1.7×10^8
Answer: 235,000,000
Step-by-step explanation:
-16+2x= -64 what is the value of x
Answer:
add 16 to both sides so it would 2x=-48 then you would divide 2 on both sides so it would be x=-24
Step-by-step explanation:
X=-24
Answer:
-16 + 2x = -64
+16 +16
2x = -48
-48÷2=-24
x = -24
The beginning balance of Keyshawn's savings account for the month of September was $3900, and it remained this way for the first 11 days of the month. On September 12, Keyshawn made a withdrawal of $700, so his balance changed, and it remained the same for a total of 9 days. On September 20, Keyshawn made a deposit of $1500, so his balance changed again, and it remained the same for a total of 10 days to finish out the month. Keyshawn's savings account has an APR of 3.65%, calculates interest daily, and pays interest at the end of the month. Keyshawn wants to calculate the amount he earned in interest during the month of September.
Part I: What interest rate does Keyshawn's savings account pay per day?
Part II: How much did Keyshawn earn in interest during the first 11 days of September?
Part III: How much did Keyshawn earn in interest during the next 9 days of September?
Part IV: How much did Keyshawn earn in interest during the last 10 days of September?
Part V: How much did Keyshawn earn in interest during the month of September?
Answer:
1. 3.65%
2. 14,235
3. 49402.75
4. 185,795.04
5. 181,895.0375
Step-by- step explanation:
Lily paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
Step-by-step explanation:
18.60$
I believe is your answer ...
What is the slope in the picture?
what’s the slope?
Answer:
Step-by-step explanation:
Either zero or undefined but I'm sure it's zero
I am really confused by this task..please help
Answer:
22
Step-by-step explanation:
what is the answer for
Answer:
3: 38
4: 36
Step-by-step explanation:
531.775197122 to the nearest ten thousandth
Answer: 3266.528
Step-by-step explanation:
The number 531.775197122 is rounded to the nearest ten thousandth place by 531.7752
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Given data ,
Let the number be = A
Let the rounded number be = B
The value of A is given by
A = 531.775197122
Now , the number A can be rounded of to the nearest ten thousandth place by rounding to the nearest 0.0001 or the Ten Thousandths Place
So , the number will be
The 1 in the ten thousandths place rounds up to 2 because the digit to the right in the hundred thousandths place is 9
When the digit to the right is 5 or greater we round away from 0
Therefore , the number 531.775197122 is rounded to 531.7752
Therefore , the value of B is 531.7752 after rounding up
Hence , The number 531.775197122 is rounded to the nearest ten thousandth place by 531.7752
To learn more about rounding up of numbers click :
https://brainly.com/question/4896544
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Hats, T-shirts, and jackets are sold at a rock concert. 3 hats, 2 shirts, and one jacket costs $140. Two hats, two shirts, and 2 jackets cost $170. One hat, 3 shirts, and 2 jackets cost $180. Create a system of 3 equations to model the situation. Assume the price of hats is x, shirts is y and jackets is z.
Step-by-step explanation:
3x + 2y + z = 140
2x + 2y + 2z = 170
x + 3y + 2z = 180
Solve completely and show your work
9. Bonnie Heisey sells clothing. Her commission rate is 7.5%. Las month her
sales were $10,875.
What was her commission?
Answer:
$815.63
Step-by-step explanation:
Commission=10875(.075)
=815.625
a withdrawal of $225
Answer:
ok bro
Step-by-step explanation:
2) Use a graph to find the length of DE if D(4, -3) and E(-5, -7).
Answer:
The answer rounded to the nearest tenth is 9.8.
Step-by-step explanation:
The answer itself is really long so I rounded to the tenths place.
3.2x-1.7x+5.5=10
How dI yoI solve this
The value of x is 0.918 for the equation 3.2x - 1.7x + 5.5 = 10.
To determine this equation 3.2x - 1.7x + 5.5 = 10,
3.2x - 1.7x + 5.5 = 10
Subtract 10 on both side,
3.2x - 1.7x + 5.5 - 10 = 10 - 10
3.2x - 1.7x + 4.5 = 0
Subtract 4.5 on both side,
3.2x - 1.7x = -4.5.
4.9x = -4.5
x = 0.918.
Therefore, the value of x is 0.918.
Learn more about equation here:
https://brainly.com/question/40831
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(5+3) • 5-3/8-3•2 help me
Answer:
79.25
Step-by-step explanation:
8*5=40
40-3/8=39.625
39.625*2=79.25
Hope this helps
Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Answer:
3,0
0, -10
Step-by-step explanation:
Which table does NOT represent a function please hurry it’s urgent Thank you
A) a
B) b
C) c
D) d
