Answer:
a) 0.83 = 83% probability that a LED screen will meet specifications.
b) 0.2892 = 28.92% probability that a LED screen that meets specifications was sent by the second supplier.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
45% from supplier B1, 30% from supplier B2, and the rest from supplier B3.
So 100 - (45 + 30) = 100 - 75 = 25% from supplier B3.
a) Find the probability that a LED screen will meet specifications.
95% of 45%(supplier B1)
80% of 30%(supplier B2)
65% of 25%(supplier B3). So
[tex]p = 0.95*0.45 + 0.8*0.3 + 0.65*0.25 = 0.83[/tex]
0.83 = 83% probability that a LED screen will meet specifications.
b) Calculate the probability that a LED screen that meets specifications was sent by the second supplier.
Conditional probability.
Event A: Meets specifications.
Event B: Sent by second supplier.
0.83 = 83% probability that a LED screen will meet specifications.
This means that [tex]P(A) = 0.83[/tex]
Meets specifications and is sent by the second supplier.
80% of 30%, so
[tex]P(A \cap B) = 0.8*0.3 = 0.24[/tex]
Probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.24}{0.83} = 0.2892[/tex]
0.2892 = 28.92% probability that a LED screen that meets specifications was sent by the second supplier.
A company selects a random sample of 75 employees and records the proportion of employees who have been with the company for at least 10 years. A 95% confidence interval for the true proportion was computed to be (0.18, 0.23).
If the company wants to cut its margin of error in half, how many employees should it survey? ⇒ 300
Answer:
300
Step-by-step explanation:
just took edge test
Answer: 300
Step-by-step explanation:
Increasing the sample size by a factor of 4 will cut the margin of error in half.
Always multiply the original sample by 4 if we have a type of question like this. Therefore, 75x4= 300.
You are welcome
Define what a "natural number" is and how to determine if it is or not
Answer:
In mathematics, the natural numbers are those used for counting and ordering.
Natural numbers include all the whole numbers excluding the number 0. In other words, all natural numbers are whole numbers, but all whole numbers are not natural numbers.
Hi, I'm trying to level up so if you are satisfied with my answer you don't have to but if you could give me brainliest that would be great.
Help me plz!!!!!! Anyone???
Answer:
D should be the correct answer
Step-by-step explanation:
Help me with finding it I’m not smart at all
Answer:
52cm^2
Step-by-step explanation:
6*3+2((2*5)/2)+4*6
=18+10+24
=52
Answer:
77cm²
Step-by-step explanation:
Okay, so first you have to find the area of all the shapes that make up the net, I'm going to start with the triangle:
So the height is 2 and the base is 5, so we plug this into our equation to get:
2 x 5 ÷ 2 = 5
There's 2 triangles so:
5 x 2 = 10
Then we start on the rectangles, we're going left to right:
6 x 3 = 18
5 x 5 = 25
4 x 6 = 24
Then we add that all up:
10 + 18 + 25 + 24 = 77
So the net of the triangular prism is 77cm²
hope this helps:)
solve the radical equation √x=6
An industrial plant claims to discharge no more than 1000 gallons of wastewater per hour, on the average, into a neighboring lake. An environmental action group decides to monitor the plant in case this limit is being exceeded. A random sample of four hours is selected over a period of a week. The observations are 1007, 2226, 2232, 2209.
Required:
a. Find the standard error.
b. To test H0:μ=1000 vs, Ha:μ>1000, find the test statistic. Use the answer from part a for the standard error.
c. Find p-value.
d. Explain how your one-sided analysis implicitly tests the broader null hypothesis that μâ¥1000.
Step-by-step guivivytfyuyufcfycuycuyfcuycfyfuccyctffcycfg. G
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With the random sampling method, every item in the population has an equal chance of being chosen for the sample. Consequently, the process of chance sampling is another name for it.
What is the standard deviation?The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.
Therefore, if the impacts of the random changes are more pronounced, the standard error of the mean will be greater; conversely, if there are no random charges, the standard error of the mean will be zero. The formula for the mean's standard error is: M=N.
The sample data, test type, and sampling distribution of the test statistic under the null hypothesis are used to determine the p-value (lower-tailed test, upper-tailed test, or two-sided test). The formula for calculating the p-value for a lower-tailed test is: p-value = P(TS ts | H 0 is true) = cdf (ts).
To learn more about Random sampling refer to:
https://brainly.com/question/24466382
#SPJ2
Find the area of the polygons
Answer:
1.) 17.5
2.) 120
3.) 372
Step-by-step explanation:
hope that helps
A parabola has a vertex at (-6, 6) and roots at 10 and m. Find the value of m.
Answer:
m = -22
Step-by-step explanation:
Formula for parabola in it's vertex form is given by;
y = a(x - h)² + k
Where (h, k) is the coordinate of the vertex.
We are told that vertex is at (-6, 6) and the roots are at 10 and m.
Thus;
y = a(x - (-6))² + 6
y = a(x + 6)² + 6
Since 10 is a root, thus;
0 = a(10 + 6)² + 6
-6 = 256a
a = -6/256
a = -3/128
Thus,the equation is;
y = (-3/128)(x + 6)² + 6
Since m is a root, then;
0 = (-3/128)(m + 6)² + 6
-6 = (-3/128)(m + 6)²
Rearranging, we have;
128 × 6/3 = (m + 6)²
256 = m² + 12m + 36
m² + 12m - 256 + 36 = 0
m² + 12m - 220 = 0
Using quadratic formula, we have;
m = 10 or -22
What is the answer please help no links no links
In the diagram, chords LM and NP are parallel and the measure of angle M = 68º.
Determine the value of x.
Answer: 44
Step-by-step explanation:
180-68-68 = 44
find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any trial is 9%
Answer:
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
7 trials
This means that [tex]n = 7[/tex]
The probability of success in any trial is 9%?
So the probability of a failure is 100 - 9 = 91%, which means that [tex]p = 0.91[/tex]
Probability of at least 6 failures in 7 trials?
This is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{7,6}.(0.91)^{6}.(0.09)^{1} = 0.3578[/tex]
[tex]P(X = 7) = C_{7,7}.(0.91)^{7}.(0.09)^{0} = 0.5168[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.3578 + 0.5168 = 0.8746[/tex]
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
A bag contains five batteries, all of which are the same size and are equally likely to be selected. Each battery is a different brand. If you select four batteries at random, use the counting principle to determine how many points will be in the sample space if the batteries are selected.
a) with replacement.
b) without replacement.
Answer:
b
Step-by-step explanation:
Santiago walked 500 m
per day, every day for
one week. How many
kilometers did he walk
all together?
Answer:
500 X 7 = 3500, 3500m = 3.5 km
She walked 3.5 km in 1 week.
Find the number of distinguishable permutations of the given letters "AABBCCCD".
Answer:
mother A1 has daughter A2, and
mother B1 has daughter B2, and
mother C1 has daughter C2, and
mother D1 has daughter D2.
Step-by-step explanation:
.
Need answer asap, will give brainliest
Answer:
35
Step-by-step explanation:
What is the area of the figure?
Answer:
69.75
Step-by-step explanation:
g A shopping center includes a grocery store and a drug store. One%E2%80%8B afternoon, a total of 200 people visited the shopping%E2%80%8B center, and 121 shopped at the grocery%E2%80%8B store, 91 shopped at the drug%E2%80%8B store, and 33 shopped at both businesses. %E2%80%8Ba) How many people shopped at the grocery store or the drug%E2%80%8B store? %E2%80%8Bb) How many people shopped at neither the grocery store nor the drug%E2%80%8B store?
Answer:
a) 179 people shopped at the grocery store or the drug store.
b) 21 people shopped at neither the grocery store nor the drug store
Step-by-step explanation:
I am going to treat these events as Venn sets.
I am going to say that:
Set A: Shopped at the grocery store
Set B: Shoped at the drug store.
121 shopped at the grocery store:
This means that [tex]A = 121[/tex]
91 shopped at the drug store:
This means that [tex]B = 91[/tex]
33 shopped at both businesses.
This means that [tex]A \cap B = 33[/tex]
a) How many people shopped at the grocery store or the drug store?
This is
[tex]A \cup B = A + B - (A \cap B)[/tex]
With the values given in the exercise.
[tex]A \cup B = A + B - (A \cap B) = 121 + 91 - 33 = 179[/tex]
179 people shopped at the grocery store or the drug store.
b) How many people shopped at neither the grocery store nor the drug store?
179 of 200 shopped in at least one. So 200 - 179 = 21 shopped at neither.
21 people shopped at neither the grocery store nor the drug store
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: s=13
Step-by-step explanation:
so first i did 180-76=104, then i did 104/2=52
then i do a random number times 4, 4x9=36, so then i did 4x13=52, so s=13
A restaurant manager believes that a majority of customers who dine at his restaurant would rate the food as excellent. To investigate this belief, he sends an email survey to a random sample of 50 customers from the large list of customers who have signed up for his frequent diner club. To encourage the customers to complete the survey, he offers a $10 gift card upon completion of the survey. He receives 22 responses, of which 20 rated the food as excellent. He would like to know if these data provide convincing evidence that more than 50% of custome who dine at his restaurant would rate the food as excellent. Are the conditions for inference met? O Yes, the conditions for inference are met. O No, the 10% condition is not met. No, the Large Counts Condition is not met. O No, the randomness condition is not met.
Answer:
D. No, the randomness condition is not met.
Step-by-step explanation:
Edge 2021
Find the surface area of the right rectangular prism shown below.
Answer:
your answer would be A= 67
Step-by-step explanation:
all you have to do is multpily L= 5 W=4 and H=1.5
i hope this helps
18. The distance that a freely falling object falls varies
directly as the square of the time it falls. If the object
falls 400 feet in 5 seconds, how far does it fall in 3
seconds?
Answer:
240 feet
Step-by-step explanation:
Given that,
The object falls 400 feet in 5 seconds.
We need to find how far it fall in 3 seconds.
5 seconds = 400 feet
1 second = 80 feet
So,
In 3 seconds,
d = (80×3) feet
= 240 feet
So, it will fall 240 feet in 3 seconds.
HELP ME ASAP PLEASE:(
Answer:
is B
Step-by-step explanation:
if alpha beta are the roots of the equation 2 x square - 6 x + 5 is equal to 0 find the equation whose roots are alpha / beta and beta/alpha
Answer:
Step-by-step explanation:
Answer:
In the equation :
[tex]2x^2+6x-5[/tex]
α + β = -b/a
= -6/2
= -3
αβ = c/a
= -5/2
I hope this will help you
Pls mark my answer as brainliest
Bill bought 4 CDs that were each the same price. Including sales tax, he paid a total of $58.80 Of that total, $5.20 was tax. What was the price of each CD before tax?
Answer:
$14.7
Step-by-step explanation:
Given: Total = $58.80, Tax = $5.20
To find: The price of each CD before tax
Solution: The total price of the 4 CDs can be determined first by subtracting the tax from the total paid;
$58.80 - 5.20 = $53.6
To find the price of each CD before tax, divide $58.80 by 4:
$58.80 ÷ 4 = $14.7
The price of each CD was $14.7 before tax.
ANSWERED
Which key on the scientific calculator will you need to simplify exponential expressions?
Answer:
b because it more useful
Answer:
b
Step-by-step explanation:
PLEASE HELP FOR ENVIROMENTAL SCIENCE!!!
I NEED HELP I don’t understand
Answer:
Step-by-step explanation:
Whole numbers are numbers such as 0, 1, 2, 3, 4. Irrational numbers are numbers that cannot be represented as a ratio, such as [tex]\sqrt{2}[/tex]. The first one would be false.
Rational numbers are numbers that can be represented as a ratio, like [tex]\frac{4}{5}[/tex] or [tex]\frac{2}{1}[/tex]. Because 4/5 is not a whole number but is a rational number, the second one would be true.
Irrational numbers are numbers that cannot be represented as a ratio. Because integers can be represented as a ratio, since integers are numbers like -2, -1, 0, 1, 2, etc, all irrational numbers are not integers and, therefore, the third one is false.
Using the definition of rational numbers and integers from responses two and three, respectively, this fourth one is false.
Lawrence wants to drive from Durban to Johannesburg 550km. If he travels at an average speed of 100km/hr, how long does he tale to get there?
Answer:
5.5hr
Step-by-step explanation:
Distance=550Km
Speed=100Km/hr
Speed=(Distance/Time)
Time=(Distance/Speed)
Time=550/100=5.5hr
Help please! :) -Substitution Method-
Answer:
d
Step-by-step explanation:
Will all slices created by a slicing plane that passes through a sphere be the same size
Answer:
The suggestion proposed considering special cases, so that’s what we’ll do.
One special case we could consider is when x=0. If h=r, then we have a hemisphere. You may have learnt that the surface area of a sphere is 4πr2, so the answer in this case is 2πr2. Likewise, we can consider the most extreme cases: when h=2r, we get an area of 4πr2 (the entire sphere), and when h=0, we get zero area.
So if we do manage to get a general formula, we will be able to check it in these special cases.
Another possible idea when x=0 is to consider what happens when h is very small. In this case, the surface area looks a lot like a circle, but the radius of the circle does not seem particularly easy to work out, so maybe we’ll leave this one for a moment. (There are things we can do to approximate the radius using more advanced techniques, but they are currently beyond us.)
Another thing we could consider is the situation where h is very small. Then the part of the sphere between the planes looks very much like the frustum of a cone, and we know how to find the (surface) area of such a shape – see Cones.
If we recall our answer from that problem, we find the formulae for the surface area
π(R+r)s=π(R+r)hcosθ=π(R2−r2)sinθ.
Here, R is the radius of the base of the frustum, r is the radius of the top, h is the perpendicular height, s is the slant length and θ is the angle the slant makes with the vertical.
Step-by-step explanation:
Answer: no
Step-by-step explanation: