Answer:
0.9167 = 91.67% probability that the entire batch will be accepted
Step-by-step explanation:
The CDs are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
2100 write-rewrite CDs, and 60 are defective.
This means, respectively, that [tex]N = 2100, k = 60[/tex]
3 of these CDs are randomly selected for testing
This means that [tex]n = 3[/tex]
What is the probability that the entire batch will be accepted?
Probability of none defective, so P(X = 0).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,2100,3,60) = \frac{C_{60,0}*C_{2040,3}}{C_{2100,3}} = 0.9167[/tex]
0.9167 = 91.67% probability that the entire batch will be accepted
i know mia is right but what’s the explaining?
Answer:
Just explain why you chose mia..
Step-by-step explanation: Why do you think mias right?
Answer:
Mia is right
Step-by-step explanation:
But the reason is because y=4+6x mark is going over the line and he needs to make sure its accross.
Expand (2+x)^3 using binomial theorem
Step-by-step explanation:
= 2³ + x ³ + 3(2)²x + 3(2)x²
= 8 + x³ + 12x + 6x²
= x³ + 6 x² + 12 x + 8
what is the equation of the line in slope-intercept form?
Answer:
y = 8x
Step-by-step explanation:
Slope intercept form is y = mx + b
y = y coordinate
m = slope, rise over run
x = x coordinate
b = y-intercept, where the line crosses the y-axis.
y = mx + b
y = 80/10x + 0
y = 8x + 0
y = 8x
Answer:
y=-8x
Step-by-step explanation:
If x = 5, then which of the following equations makes a true statement?
P=6 and q=5, what is the value of 3pq
Answer:
90
Step-by-step explanation:
3pq
3×6×5=90
mark as brainliest please
5 A box of donuts holds
12 donuts. One-fourth
of the donuts have
sprinkles. Of the remaining
donuts, one-third have
cherry filling. The rest are
plain, What percent of the
donuts are plain?
Answer:
91.6667%
Step-by-step explanation:
1/3 of 1/4 = 1/12
11/12 = 91.6667%
Have a great day <3
Answer:
50% of the donuts are plain
Step-by-step explanation:
out of 12 donuts, 1/4 have sprinkles. This results in 3 donuts having sprinkles. 3 out of 12 is 9. 1/3 of 9 is 3. 3 donuts have cherry filling. The rest, which is 6 are plain. 6 is 50% of 12.
Can I please have help I will mark brainly est
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer......
I believe its SQUARE! Cuz it says 4 right angles.....Hope it helps!
mark me brainliest pls.....
Follow me! :)
Maths question is very hard
Answer:
I cant quite see the question or understand what your asking.
Each triangle in the net below has a base of 6 centimeters and a height of 8 centimeters. What is the surface area, in square centimeters, of the figure represented by the net? helpppppp i need help pls
The area of a triangle is 1/2 x base x height.
The area of the triangle is 1/2 x 6 x 8 = 24 square cm.
There are 4 identical triangles so 24 x 4 = 96 square cm.
The area of the square base = 6 x 6 = 36 square cm.
Total area = 96 + 36 = 132 square cm.
Which retirement plan is managed by an insurance company?
a Fixed Annuity
b Pension Plan
c Roth IRA
d Traditional IRA
Answer:
Fixed Annuity
Step-by-step explanation:
Fixed annuity is the most common annuity
During the accumulation phase, the individual makes a lump-sum payment or multiple payments over time to the insurance company
The insurance company invests the money as it sees fit, along with the money of other participants, forming a pool of invested funds
Will mark brainliest for any help!
Answer:
2) 523.3 in²
Steps:
the given polygon is a heptagon
a regular heptagon's area = 7/4 × s² × cot(180°/7)
for the given heptagon
A = 7/4 × 12² × cot(180/7) ≈ 523.28 in² = 523.3 in² (rounded)
Delia put I two bags of blocks in the left-side pan of a balance. Each bag has the
same number of blocks. After she adds 10 blocks to the right-side pan, the pans
hang evenly. How many blocks are in 1 bag?
Can you conclude that the
parallelogram below is a
rectangle?
Yes
No
Answer:
yes
Step-by-step explanation:
Answer:
Yes. If no right angle exists, then it's not a rectangle.
Step-by-step explanation:
Why is stock data calculated using the subtraction and addition method instead of a simple moving average? PLEASE HURRY I AM TAKING A TEST
Answer:
The moving average (MA) is a simple technical analysis tool that smooths out price data by creating a constantly updated average price. The average is taken over a specific period of time, like 10 days, 20 minutes, 30 weeks or any time period the trader chooses. There are advantages to using a moving average in your trading, as well as options on what type of moving average to use. Moving average strategies are also popular and can be tailored to any time frame, suiting both long-term investors and short-term traders.
Step-by-step explanation:
One disadvantage to solving systems using substitution is that isolating a variable often involves dealing with messy fractions. There is another method for solving systems of equations: the addition/subtraction method.
In the addition/subtraction method, the two equations in the system are added or subtracted to create a new equation with only one variable. In order for the new equation to have only one variable, the other variable must cancel out. In other words, we must first perform operations on each equation until one term has an equal and opposite coefficient as the corresponding term in the other equation.
sorry it is so long, i hope this helps!
72 is 40% of what number? A. 18 B. 144 C. 180 D. 280
Answer:180(D)
Step-by-step explanation: First, do 72/x=40/100. Then, cross muliply which is 7200 and 40*x. do 7200/40. The answer should be 180.
Answer:
The answer is C(180) on edg 2021
please help me w ith thsi
Hi there! :)
[tex]\large\boxed{A = 12.5 \text{ units}^{2}}[/tex]
Find the area of the shape using the formula for the area of a trapezoid:
A = 1/2(b1 + b2) · h
Where:
b1 = base 1
b2 = base 2
h = height
A = area
Plug in the given bases and height:
A = 1/2(7.5 + 2.5) · 2.5
Simplify:
A = 1/2(10) · 2.5
A = 5 · 2.5
A = 12.5 units²
Find anequation of the line containing (3,-4) and having slope -2. If this line
contains the points (2,8) and (5.b), find a and b.
Answer:
A linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we want to have a slope equal to -2, then our line will be something like:
y = -2*x + b
Now, we also want this line to pass through the point (3, -4)
This means that when x = 3, we must have y = -4
Then:
-4 = -2*(3) + b
-4 = -6 + b
-4 + 6 = b
2 = b
Then our line is:
y = -2*x + 2
Now, the second part says that:
If this line contains the points (2,8) and (5.b), find a and b.
This is incorrectly written because this line clearly does not contain the point (2, 8), so i guess the actual problem is something like:
If this line contains the points (a,8) and (5.b), find a and b.
If the line contains the point (a, 8), this means that when y = 8, we must have x = a.
Then:
8 = -2*a + 2
8 - 2 = -2*a
6 = -2*a
6/-2 = -3 = a
a = -3
Similar reasoing for the other point, if the line contains the point (5, b), this means that when x = 5, we have y = b.
Then:
b = -2*5 + 2 = -10 + 2
b = -8
The time it takes to drive to Myrtle Beach varies inversely with the speed you drive. If it takes you 4 hours to reach Myrtle Beach when driving at a speed of 60 mph, how much time would it take if you drove at a speed of 80 mph?
If you drove at 80mph it would take you approximately 3 hours
This is because 60 is 75% of 80 and 3 hours is 75% of 4 hours.
25% of 4 hours is 1 hour
4 hours - 1 hour = 3 hours
URGENT I NEED HELP FIRST PERSON WHO ANSWERS I'LL GIVE BRAINLYEST
A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches.
Which of the following could be used to calculate the volume of water in the vase?
π(3in)2(12in) − 1.5(four over threeπ(9in)3)
π(12in)2(3in) − 1.5(four over threeπ(9in)3)
π(3in)2(12in) − 9(four over threeπ(1.5in)3)
π(12in)2(3in) − 9(four over threeπ(1.5in)3)
Answer:
C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)Step-by-step explanation:
Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.
Volume of cylinder up to water level:
Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)Volume of marbles:
Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)Volume of water:
Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)Correct choice is C
Answer:
C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)
Step-by-step explanation:
Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.
Volume of cylinder up to water level:
Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)
Volume of marbles:
Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)
Volume of water:
Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)
Correct choice is C
Mrs Tyler rolls a die each day to see how many points the homework will be worth that day. What is the probability that she rolls a 6 on Monday and a number less than 3 on Tuesday
Answer:
2/12
Step-by-step explanation:
Please answer I’ll give Brainly
Answer:
62.5%
Step-by-step explanation:
There are a total of 8 people on the data plot.
5 of them got 15 questions or more correct, meaning 5/8 people got 15 or more questions correct.
5/8 = 5 ÷ 8
5 ÷ 8 = 0.625
0.625 = 62.5%
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
Answer:
0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Uniformly distributed between 0 and 5 minutes.
This means that [tex]a = 0, b = 5[/tex]
Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
[tex]P(X > 4.25) = \frac{5 - 4.25}{5 - 0} = 0.15[/tex]
0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
If a Tv costs $910 and the sales tax is $80, how much will the TV cost in total?
Answer:
$1,638.00
Step-by-step explanation:
Before Tax Price: $910.00
Sale Tax: 80.00% or $728.00
After Tax Price: $1,638.00
There Are The Before And After :D!!
There are 9,481 eligible voters in a precinct. 500 were selected at random and asked to indicate whether they planned to vote for the Democratic incumbent or the Republican challenger. Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent. Using an 80% confidence level, what are the confidence limits for the proportion that plan to vote for the Democratic incumbent
Answer:
The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.
This means that [tex]n = 500, \pi = \frac{350}{500} = 0.75[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.725[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.775[/tex]
The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.
what is the area of the triangle 10,24,26
Step-by-step explanation:
i d like to help but i fon knoeww
2 : 6 : 7 = x : 36 : y
Answer:
x = 12, y = 42
Step-by-step explanation:
6 is multiplied by 6 to get 36 (lot of sixes lol)
So multiply everything else by 6
2 x 6 = 12
7 x 6 = 42
Answer:
d y/d x = y/x
Step-by-step explanation:
I don’t understand this. Please help me.
Answer:
A
Step-by-step explanation:
To check for similarity, check for the scale factor. We can see angle X and angle U are both 32°. If the triangles were similar side RS to side UV and side RT to side UW should give the same scale factor. 10:12 = 5:6 and 15:18 = 5:6. Therefore the two triangles are similar. When naming similar triangles make sure you start from the same point, so triangle RST is similar to triangle UVW.
Find the greatest common factor of 28 and 35
Answer:
7
Step-by-step explanation:
Factors for 28: 1, 2, 4, 7, 14, and 28
Factors for 35: 1, 5, 7, and 35
A helicopter hovers 1500 feet above a small island. The
figure shows that the angle of depression from the
helicopter to point P is 40°.
How far off the coast, to the nearest foot, is the island?
400
1500ft
Please help me solve this problem
Answer:
the island is 1787.63ft far.
Step-by-step explanation:
<P=40° alternate angle
in triangle
relationship between perpendicular and base is given by tan angle
tan 40=p/b
tan40=1500/b
b=1500/tan40=1787.63ft
is the marked equation right?
i cola in for me please
Answer:
Yes, because it crosses through (-2) at a rate of 1/3