Answer:
a
[tex]P(shipment\ accepted) =0.6337 [/tex]\
b
[tex]P(shipment\ not\ accepted)= 0.3663 [/tex]
Step-by-step explanation:
from the question we are told that
The number of boxes N = 100
The number of keyboard in each box is k = 20
The sample size is n = 5
Generally the number of ways of selecting 1 keyboard from the 5 selected keyboard is mathematically represented as
[tex]G = \ ^{5}C_1[/tex]
Here C stands for combination (Hence in the question we will be making use of the combination functionality in our calculator )
Generally the number of ways of selecting 0 keyboard from the 5 selected keyboard is mathematically represented as
[tex]H = \ ^{5}C_0[/tex]
Generally the number of ways of selecting 5 keyboard from the 20 keyboards is mathematically represented as
[tex]F = \ ^{20}C_5[/tex]
Generally the number of ways of selecting 5 keyboard from the 15 keyboards is mathematically represented as
[tex]W = \ ^{15}C_5[/tex]
Generally the number of ways of selecting 5 keyboard from the 15 keyboards is mathematically represented as
[tex]V = \ ^{15}C_4 [/tex]
Generally the probability that a shipment will be accepted is mathematically represented as
Probability of 0 defect out of 5 + Probability of 1 defect out of 5
Now
Probability of 0 defect out of 5 is mathematically represented as
[tex]P(A_1) = \frac{H*W }{ F}[/tex]
=> [tex]P(A_1) = \frac{1 *3003 }{ 15504}[/tex]
=> [tex]P(A_1) = 0.1937[/tex]
And Probability of 1 defect out of 5 is mathematically represented as
[tex]P(A_2) = \frac{ G * V}{ F}[/tex]
=> [tex]P(A_2) = \frac{ 5 * 1365}{15504}[/tex]
=> [tex]P(A_2) = 0.440[/tex]
Generally the probability that a shipment will be accepted is mathematically represented as
[tex]P(shipment\ accepted) =0.1937 + 0.440[/tex]
=> [tex]P(shipment\ accepted) =0.6337 [/tex]
Generally the probability that this shipment will not be accepted is mathematically represented as
[tex]P(shipment\ not\ accepted)= 1 -P(shipment \ accepted)[/tex]
[tex]P(shipment\ not\ accepted)= 1 - 0.6337 [/tex]
[tex]P(shipment\ not\ accepted)= 0.3663 [/tex]
A certain scale has an uncertainty of 4 g and a bias of 2 g. A single measurement is made on this scale. What are the bias and uncertainty in this measurement
Answer: 0.8
Step-by-step explanation:
given data:
uncertainity = 4g
bias = 2g
solution:
σX =0.2 and σY = 0.4
σcX
= 3σX
= 4(0.2)
= 0.8
So Can anyone help me with this
What is 120 divided by 55
Answer:
2.2
..................
120/55
Stacy has 6 fewer than half as many marbles as Mallory .If Stacy has thirty marbles how many does Mallory have
Answer:
72
Step-by-step explanation:
Stacy has 30 marbles
Let m= the number of marbles that mallory has
stacy has 1/2 m -6
30 = 1/2 m -6
Add 6 to each side
30+6 = 1/2m
36 = 1/2m
Multiply each side by 2
72 = m
Mallory has 72 marbles
Answer:
72
Step-by-step explanation:
I'm cool and the guy above me stinko
Find the slope of f(x)=5x-4
Answer:
5
Step-by-step explanation:
Answer:
slope, m = 5
Step-by-step explanation:
Recall that the slope-intercept form of a linear equation can be written:
y = mx + b or f(x) = mx + b
where m is the slope of the line.
in our case, we are given
f(x) = 5x - 4
if we compare this with the general equations above, we can see that
slope = m = 5
hence the slope is 5
I tried and couldn't get it can someone help me out
Answer:
I think it would be B)
Step-by-step explanation:
This problem seems badly worded and/or vague.
It looks like you plugged x = 3 into the inverse [tex]f^{-1}(x)[/tex] function to get 3 as the output, which is correct.
However it seems like your teacher wants you to find the (x,y) point on f(x). This means s/he is asking "what x value will get us y = 10?" As you found through working with the inverse, the x value x = 3 does that.
We can see it as such
f(x) = 3x+1
f(3) = 3*3+1
f(3) = 10
So in a sense, you were working backwards.
The point (3,10) is on the graph of f(x)
While the point (10,3) is on the graph of [tex]f^{-1}(x)[/tex]
It's likely your teacher wants you to select choice C
help me idk what it is
the answer is the bottom one on the first row
1,265.19 is what percent of 699
Answer:
1,265.19 is 181% of 699Step-by-step explanation:
Calculate the ratio of 1265.19 and 699, then convert it to a percent (multiply by 100%):
[tex]\dfrac{1,265.19}{699}=1.81\\\\1.81\cdot100\%=181\%[/tex]
How many liters are in 120 quarts?
1 qt ≈ 0.95 L
Answer:
114 liters
Step-by-step explanation:
120 x 0.95 = 114
Please Solve as Fast as You Can
If the point (3, -2) is reflected across the y-axis, what are the coordinates of the reflected point?
Answer:
flips the sign of the opposing coordinate (-3,-2)
Step-by-step explanation:
(-7, 13); slope = -2 Write the equation of the line in slope-intercept form with the given point and slope or two points.
Answer:
y=-2x-1
Step-by-step explanation:
13=-2*-7+b
13=14=b
-1=B
The equation of the line in the slope-intercept form will be 2x+y+1=0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that,
The coordinate of the points are (x,y) = (-7, 13)
Slope, m = -2
The standard equation of a line is,
y = mx+c
Substitute the given coordinate value in order to find the intercept value as
13=-2×-7+c
13-14=c
-1=c
Put the values in the standard equation,
y = mx+c
y=-2x-1
Thus, the equation of the line in the slope-intercept form will be 2x+y+1=0.
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An airplane leaves a runway at an angle of 0 .when the airplane has reached an altitude of 5000 feet it has traveled 10,000 feet in the direction it took off.At what angle (0) did the airplane leave the runway ?
Answer: no
Step-by-step explanation: if it left then it would have to be angled at least a little bit.
Factors are the numbers used to multiply. True False
Answer:
True
Step-by-step explanation
Please help ASAP 50 pts
Answer:
Answer is C
Step-by-step explanation:
I learned this in algebra
Answer:
c. If two distinct planes
Which measurement statement is correct?
Answer:
What do you need help with?
What is 1/2÷3 as a fraction?
Answer: 1/6
Step-by-step explanation:
1/2 divided by 3/1 turns into 1/2 x 1/3 and when multiplying numerators and denominators with each other, you get 1/6.
The line y=2x+7 meets at rthe y-axis at A.
Write down the co-ordinates of A
Answer:
(0, 7)
Step-by-step explanation:
y = mx + c
c is the y-intercept - where the line crosses the y-axis
Some teenagers collected trash for a beach clean-up. The data for the number of pounds of trash collected by each teenager are shown below.
26, 26, 21, 22, 20, 25, 35
What is the range of the data?
Answer:
D. 15 pounds
Step-by-step explanation:
35-20=15
The range of the data that represents the number of pounds of trash collected by each teenager is 15.
What is the range of a data set?The range is the difference between the Maximum value of the data set and the Minimum value of the dataset. Therefore, we can write the range as,
Range = Maximum value of the data set - Minimum value of the dataset
Given the data for the number of pounds of trash collected by each teenager as 26, 26, 21, 22, 20, 25, and 35.
Now, from the data, the Maximum value of the data set is 35 and the Minimum value of the dataset is 20. Therefore, we can write the range of the data set as,
Range = Maximum value of the data set - Minimum value of the dataset
= 35 - 20
= 15
Hence, the range of the data that represents the number of pounds of trash collected by each teenager is 15.
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Jonae gets paid $16.50 an hour working at a furniture store. She also gets paid 20% of all of the store's furniture sales each week. This week, the store made $600 on a table and $400 on chairs. If Jonae worked 40 hours this week, how much will she be paid?
Answer:
$860
Step-by-step explanation:
Jonae makes $16.50 an hour and worked 40 hours. Multiply the hours worked by the amount of money she earned.
$16.50 × 40 = $660
The stored made $600 on a table and $400 on chairs, which, in total, is $1000. Since Jonae gets paid 20% of all of the furniture sales, multiply the total sales by the percentage.
$1000 × 0.2 = $200
Add together the earnings she made per hour and the earnings she made from the furniture store's sales.
$660 + $200 = $860
What happens to the median if the game with 3 hits is remqued from the data sset
the circumference of the circle is 23 inches what is the radius of the circle?
Answer:
The radius is 3.66 if you need to round it would be 3.70.
Step-by-step explanation:
r= c/2[tex]\pi[/tex]
23/2pi= 3.66
The radius of the circle for the circumference of the circle is 23 inches is,
⇒ r = 3.66 inches
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The circumference of the circle is 23 inches.
Now, We know that;
The circumference of the circle = 2πr
Where, r is radius of the circle.
Hence, We get;
⇒ 2πr = 23
⇒ πr = 23/2
⇒ 3.14 × r = 11.5
⇒ r = 11.5 / 3.14
⇒ r = 3.66 inches
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The cost of the lunches for the field trip can be represented by the expression:
4(29) + 4(6)
Identify the values to make these expressions true.
Expand 29 to create an equivalent expression with friendly numbers.
40 ) + 4(6)
Distribute the 4
Evaluate the multiplication
80 + 36 + 24 =
Answer: 4(20+9)+4(6) thats the first one
4(20)+4(9)+4( 6) thats the second one
80+36+24=140 that is the third
Step-by-step explanation:
Answer:
4(20+9)+4(6)
4(20)+4(9)+4( 6)
Step-by-step explanation:
what is the most frequently occurring value in a set
Answer:
mode
Step-by-step explanation:
in statistics, the mode is the most commonly observed value in a set.
Answer:
Mode
Step-by-step explanation:
Mode is the value that is shown most frequently in a set.
Six and forty-two ten-thousandths as a decimal
A snail travels 10 cm and 4 minutes at this rate how long will it take for the snail to travel 24 cm?
Answer:
It will take 9.6 minutes to travel 24 cm.
Step-by-step explanation:
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Answer:
9.6 minutes.
Step-by-step explanation:
First we need to find how many minutes it takes the snail to travel 1 cm.
to do this we need to divide the time it takes by the distance traveled.
4 ÷ 10 = 0.4. So, the snail takes 0.4 minutes to travel 1 cm.
Next we need to find how long it takes to travel 24 cm.
to do do that we need to multiply how long it takes the snail to travel 1 cm by the number of cm it needs to travel.
0.4 x 24 = 9.6. So, it takes the snail 9.6 minutes to travel 24 cm.
Choose the scenario that could be represented by ſ
A. Five bottles of water are shared equally by two teammates.
B. Two people share five oranges equally.
C. Five granola bars are divided equally between two friends.
D. Two yards of fabric are used to make five place mats.
Answer:
D. Two yards of fabric are used to make five place mats.
Step-by-step explanation:
Given
[tex]Scenario = \frac{2}{5}[/tex]
Required
Select the option that describes the scenario
Options A, B and C do not describe the given scenario.
because they all represent
[tex]Ratio = \frac{5}{2}[/tex]
Analyzing D:
We have the following:
Yards = 2
Place Mats = 5
[tex]Ratio = \frac{Yards}{Place\ Mats}[/tex]
[tex]Ratio = \frac{2}{5}[/tex]
Compare this ratio with the given scenario, we have:
[tex]Ratio = Scenario= \frac{2}{5}[/tex]
VODY VON
Dom
18. Mr. Cook's class has a female student to male student ratio of 3:2. If Mr. 5 points
Cook's class has 18 girls, how many boys does he have?
17 boys
5 boys
12 boys
16 boys
Einstein's equation relating mass and
energy is given by the formula E = mc,
where m is the mass of an object and
<= 3 x 10 ms', the speed of light.
a Find how much energy is present in
a 1 kg mass. (1 kg ms-'= 1 joule)
(2 marks)
2) Jamie studies her Social Studies vocabulary for 30 minutes and studies 15
her Math problems for 15 minutes. After several days, she has studied her
Math problems for 60 minutes. How many minutes did Jamie study her
Social Studies vocabulary in the same time period?"
Your answer
This is a required question
Answer:
2 hours or 120 minutes
Step-by-step explanation:
So, let's assume that she studies the same amount each day. If she has studied math for a total of 60 minutes, she should have studied for 4 days because 60 (total) divided by 15(time each day) would equal to 4 (period of time). So we have to multiply 30 minutes by 4 (period) to get 120 minutes, which is 2 hours.
two angles of a triangle measure 12° and 40° what id the measure of the third angle of the triangle
Answer:
128
Step-by-step explanation:
The sum of angles in the triangle is 180 degrees
12 + 40 + x = 180
52 + x = 180
x= 180 - 52 = 128 degrees
(x is the third angle of the triangle)
Credit: study1104 for the answer: they originally answered this question, though i copy and pasted to help you with your assignment! Hope this helps, wanted to include credit so your aware where the answer came from!!