A factory received a shipment of 19 bolts, and the vendor who sold the items knows there are 7 bolts in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the bolts in the sample are defective, he will refuse the shipment. For each of the following, give your responses as reduced fractions. If a sample of 7 bolts is selected, find the probability that all in the sample are defective. If a sample of 7 bolts is selected, find the probability that none in the sample are defective.
Answers
Answer:18
Step-by-step explanation: 19-7=12 bolts and 7+7=14 so 12-14=18
If a sample of 7 bolts is selected, then the probability that all in the sample are defective = \(\frac{7}{50388}\)
If a sample of 7 bolts is selected, then the probability that none in the sample are defective = \(\frac{66}{4199}\)
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
What is the formula for combination?\(^nC_r=\frac{n!}{r!(n-r)!}\)
For given question,
Out of 19 bolts, 7 bolts are defective.
So 19 - 7 = 12 bolts are non-defective.
If sample of 7 bolts is selected.
The total number of ways of selecting 7 bolts from the 19 bolts.
Using combination formula,
\(^{19}C_7\\\\=\frac{19!}{7!(19-7)!} \\\\=50388\)
Let event A: all bolts in the sample are defective
n(A) = 7
So the probability that all in the sample are defective would be,
\(P(A)=\frac{7}{50388}\)
Let event B: no bolt in the sample are defective
This means the sample of 7 bolts has non-defective.
The total number of ways of selecting 7 bolts from the 12 non-defective bolts.
Using combination formula,
\(^{12}C_7\\=\frac{12!}{7!(12-7)!}\\\\ =792\)
son n(B) = 792
So, the probability that none in the sample are defective would be,
\(P(B)=\frac{792}{50388} \\\\P(B)=\frac{66}{4199}\)
Therefore, If a sample of 7 bolts is selected, then the probability that all bolts in the sample are defective = \(\frac{7}{50388}\)
If a sample of 7 bolts is selected, then the probability that none in the sample are defective = \(\frac{66}{4199}\)
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Related Questions
Ravin is g years old and Eva is 2 years younger than Ravin.
What is the sum of their ages in terms of g?
What is the sum of their ages after g more years, in terms of g?
Answers
(gx2)-2
Hope this helps! :)
______________
The sum of their ages will be = g + (g-2)
= 2g -2
After g more years,
Ravin will be = g + g = 2g years old
Eva is still 2 years younger, so she will be = 2g - 2 years old.
The new sum of their ages will be
= 2g + (2g - 2) = 4g - 2 years
find the value of x and the measure of angle axc
Answers
Answer:
x = 4
m<AXC = 150
Step-by-step explanation:
m<1 + m<2 = m<AXC
102 + 10x + 8 = 6(6x + 1)
10x + 110 = 36x + 6
26x = 104
x = 4
m<AXC = 6(6x + 1)
m<AXC = 6(24 + 1)
m<AXC = 150
express 111 as a sum of two primes
Answers
Answer:
2 + 109 = 111
Step-by-step explanation:
.............
Which expression simplifies to 8x^5?
Answers
Answer:
32768x^5
Step-by-step explanation:
\( {8x}^{5} \)
...
in an experiment to learn whether substance m can help restore memory, the brains of 20 rats were treated to damage their memories. first, the rats were trained to run a maze. after a day, 10 rats (determined at random) were given substance m and 7 of them succeeded in the maze. only 2 of the 10 control rats were successful. the two-sample z test for the difference in the true proportions. Gives z= 2.25, P< 0.02
Answers
The z-value obtained from the test was 2.25, and the p-value was less than 0.02.
What is probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.
This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).
In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.
Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.
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There are 130 people in a sport centre. 76 people use the gym. 60 people use the swimming pool. 32 people use the track. 23 people use the gym and the pool. 8 people use the pool and the track. 20 people use the gym and the track. 6 people use all three facilities. A person is selected at random. What is the probability that this person uses at least 2 facilities?
Answers
Answer:
64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
HELP PLS EASYyyyyyyyyyyyyy
Answers
Answer:
My best guess would be 19.5
Step-by-step explanation:
I asked go ogle
and
thats
all
I
could
find
hope
this
helps!
Find the area
…………………………
Answers
Answer:
118
Step-by-step explanation:
18*4=72
8+3*2=22
8*3=24
72+22+24=118
(p^2n^1/2)^0
√ p^5n^4 equivalent to p^18n^6 √p?
Answers
The two expressions are not equivalent.
To simplify the expression (p^2n^1/2)^0 √ p^5n^4, we first need to understand the properties of exponents and radicals.
Recall that any number raised to the power of zero is equal to 1, so (p^2n^1/2)^0 = 1.
Next, we can simplify the radical term by multiplying the exponents inside and outside the radical:
√ p^5n^4 =
(p^5n^4)^(1/2)
= p^(5/2)n^(4/2)
= p^(5/2)n^2
Combining this result with the previous step, we have:
(p^2n^1/2)^0 √ p^5n^4
= 1 * p^(5/2)n^2
= p^(5/2)n^2
This is not equivalent to p^18n^6 √p. In fact, p^(5/2)n^2 cannot be simplified any further without additional information about the expression. ,
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Explain how circle C with center at (−9, 8) and radius 7 is similar to circle D with center at (−1, −1) and radius 5.
Answers
Answer:
We are told that circle C has center (-4, 6) and a radius of 2.
We are told that circle D has center (6, -2) and a radius of 4.
If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.
Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:
If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.
Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.
Thus, the argument is correct and the last choice is best.
Cute copy and paste:
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Exponential properties
Answers
Answer:
none of the above
Step-by-step explanation:
f(x) = 5 * 2^x
Let x = 3
f(3) = 5 * 2^3
= 5 * 8
= 40
A 1/3
B 1/2
C 2
D 3
will give brainliesttt
Answers
Explanation:
y = 5x - 3 I need help with this please
Answers
Answer:
the value of y is 12 x is 3
Step-by-step explanation:
you can check the answer with these. values
Help help help please
Answers
Answer:
17.6
Step-by-step explanation:
1kg=2.2lbs
Multiply each side by 8
8kg=17.6 lbs
What is the next three-term of the geometric sequence? 60, 30, 15...?
Answers
Answer:
7.5
Step-by-step explanation:
it is feometeic progression
r=0.5
A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
Answers
Answer:
114.29
Step-by-step explanation:
What’s the correct answer answer asap for brainlist
Answers
Answer: serbia
Step-by-step explanation:
Need help ASAP
Which function is continuous across its domain
Answers
Answer:
I have the same question, so i chose B and got it right :)
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
plato
A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can it drink in 8 minutes?
Answers
Answer:
12
Step-by-step explanation:
15:10
15/10=1.5g/min
1.5x8=12.
A camel can drink 12L in 8 minutes.
Select the correct answer.
A figure shows the inscribed triangle ABC with center point O which bisects BO. An angle of C is 50 degrees.
In the diagram,
is a diameter of the circle with center O. If m∠
= 50°, what is m∠
?
A.
50°
B.
40°
C.
80°
D.
100°
Reset Next
Answers
Answer: C
Step-by-step explanation:
Solve the following for θ, in radians, where 0≤θ<2π.
3cos2(θ)+6cos(θ)−4=0
Answers
Answer:
0 ≤ < 2
Step-by-step explanation:
Answer:1.02 5.27 are correct
Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):
3u^2 + 6u - 4 = 0
Now we can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 3, b = 6, and c = -4. Substituting these values, we get:
u = (-6 ± sqrt(6^2 - 4(3)(-4))) / 2(3)
u = (-6 ± sqrt(84)) / 6
u = (-3 ± sqrt(21)) / 3
Therefore, either:
(2/7 , −3) ; r = 6 standard form of circle
Answers
if two vertical angles are 2x-10 and x+20 find the value of x
Answers
Answer:
x=70
Step-by-step explanation:
when added together, verticle angles equal 180 degrees.
2x-10+x+20=180
3x-10+20=180
3x-30=180
3x=210
x=70
help asap. will give best answer.
Answers
Answer:
neither
Step-by-step explanation:
the volume of a pyramid is given by the formula V=1/, where B is the area of the base and h is the height?
Answers
Answer:
Step-by-step explanation:
The volume of this pyramid in cubic inches is 16.
Given that,
The base and height is 8 and 6.
Based on the above information, the calculation is as follows:
The volume is
= 16
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Answers
The practical domain of the situation is all real numbers, since there is no restriction on the number of hours the child can spend at the arcade.
The practical range of the situation is [1,140], since the minimum value of the function is 1 and the maximum value is 140.
algebra 2 look image below
Answers
So let's plug in some numbers!
r=(1 mile)/(30 seconds), which is 1/30 miles per second!
r=(5 miles)/(150 seconds), which is also 1/30 miles per second!
I'm not sure if you're supposed to estimate your response, so I would just put 1/30 in the answer box!
you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
Answers
Peter borrowed $100,000 at 8% compounded
annually, how much will he be paying after 2
years?
Answers
Answer:
The general formula for this type of problem is F=P[1+(i/n)]^(nt), where F is the Future Worth, P is Present Worth, i is interest, n=1 for annual payments, and t for the number of periods - which is 2. This is solved as: F=100000[1+(0.08/1)]^(1*2)=116640
Step-by-step explanation:
(HElP) which answers describe the shape below?
Answers
I think it would be A, B, D and E.