Answer:
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars
This means that [tex]\mu = 45, \sigma = 7[/tex]
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{59 - 45}{7}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
To be considered 18-karat (18K) gold, a piece of jewelry must be made of 75% pure gold. The higher the karats, the more valuable a piece of jewelry. A jewelry designer is purchasing a large quantity of 18K gold from a new supplier. To see whether the new supplier is being dishonest about the karat rating in the shipment, the designer melts a random sample of the gold and conducts a hypothesis test with H0: The proportion of metal that is gold is 75%, and Ha: The proportion of metal that is gold is less than 75%. What are a Type I error and a Type II error in this context?
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, and the designer concludes that it is made of less than 75% gold.
Type I error: The gold shipment truly is made of 75% gold, and the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Answer:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Step-by-step explanation:
Edge 2021
The type I error and type II errors for this condition are given by: Option A:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).
The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).
For this case, the hypotheses laid down are:
Null hypothesis: H₀ : The proportion of metal that is gold is 75%, Alternate hypothesis: H₁ : The proportion of metal that is gold is less than 75%.Thus, we get:
Type I error = False positive = Falsely accusing null hypothesis to be incorrect = Concluding that the proportion of metal that is gold is less than 75% when actually the proportion of gold is 75%.
Type II error = False negative = Falsely accepting the null hypothesis = Concluding that the proportion of metal that is gold is 75% when actually the proportion of gold is less than 75%.
Therefore, the type I error and type II errors for this condition are given by: Option A:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.Learn more about type I and type II errors here:
https://brainly.com/question/26067196
A line has a slope of 2 and y-intercept of -3/4 . Which if the following is an equation of the line ?
Answer: y = 2x - 3/4
Step-by-step explanation:
y = mx + b where m is the slope, and b is the y-intercept.
y = 2x - 3/4
10 points!!!!!!! Plssssss helpppppp
given that the circumference of an orange us 50.24mm find the volume of the orange
Answer: 803mm
Step-by-step explanation:
5th grade and help this is the last day for my homework!!
Answer and Step-by-step explanation:
The values should go in this order:
7 × 6 - 4
^ That is the correct way. this is because the 4 is being subtracted from the product, not the other way around.
#teamtrees #PAW (Plant And Water)
If f(x)=x+5,g(x)=1-2x,h(x)=x-2 find fog,foh,goh,gof,hof
Answer:
The answer is below
Step-by-step explanation:
Function is a rule, or law that defines the relationship between one variable (the independent variable) and another variable (the dependent variable)
a) fog = f[g(x)] = f(1 - 2x) = 1 - 2x + 5 = 6 - 2x
b) foh = f[h(x)] = f(x - 2) = x - 2 + 5 = x + 3
c) goh = g[h(x)] = g(x - 2) = 1 - 2(x - 2) = 1 - 2x + 4 = 5 - 2x
d) gof = g[f(x)] = g(x + 5) = 1 - 2(x + 5) = 1 - 2x - 10 = 9 - 2x
e) hof = h[f(x)] = h(x + 5) = x + 5 - 2 = x + 3
Tennis Replay In the year that this exercise was written, there were 879 challenges made to referee calls in professional tennis singles play. Among those challenges, 231 challenges were upheld with the call overturned. Assume that in general, 25% of the challenges are successfully upheld with the call overturned. a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231. b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
Answer:
a. 0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. 231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
Step-by-step explanation:
For each challenge, there are only two possible outcomes. Either it was overturned, or it was not. The probability of a challenge being overturned is independent of any other challenge. This means that the binomial probability distribution is used to solve this question.
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.
Significantly high:
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
If a value is more than 2.5 standard deviations above the mean, this value is considered significantly high.
25% of the challenges are successfully upheld with the call overturned.
This means that [tex]p = 0.25[/tex]
879 challenges
This meas that [tex]n = 879[/tex]
a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231.
This is P(X = 231). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 231) = C_{879,231}.(0.25)^{231}.(0.75)^{648} = 0.0209[/tex]
0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
The mean is:
[tex]E(X) = np = 879*0.25 = 219.75[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{879*0.25*0.75} = 12.84[/tex]
[tex]219.75 + 2.5*12.84 = 251.85 > 231[/tex]
231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
plz help me i give brainliest
Answer:
The median is 5
Step-by-step explanation:
The median is the value that is in the middle of a data set. One can find this value by lining up all of the values in the data set in ascending order (from smallest to largest). Then one will cross out answers on either side of the data set until one is left with a single value. In the event that one is left with two values, one will take the average of the two values. In other words, add the two values and then divide the result by 2.
The first step in finding the median is to list out all of the given data. Transcribe the visual data that is given in the problem into numerical data. In other words, rewrite the numbers represented by the dots as actual numbers.
1, 1, 3, 4, 4, 5, 6, 6, 6, 7, 9
Now take out numbers from each side until a single number is left in the middle.
1, 1, 3, 4, 4, 5, 6, 6, 6, 7, 9
1, 3, 4, 4, 5, 6, 6, 6, 7
3, 4, 4, 5, 6, 6, 6
4, 4, 5, 6, 6,
4, 5, 6,
5
which pint on the number line best represents the squat root of 10
Answer:
e is ya answer hope you have a blessed day
Step-by-step explanation:
here is a tree diagram showing the sample independent events how many outcomes are there for the second event
8
1
2
4
Please help __________
Answer:
B √245
Step-by-step explanation:
7√5
= √7²×5
= √49×5
= √245
A store sold 6 fruit trees. Five of the trees were apple trees.
What fraction of the trees were apple trees?
The graph of y=f(x) is a transformation of the graph y=h(x) write a formula for the function f in terms of function h
Answer:
y=h(x)-8
Step-by-step explanation:
it shifted down 8 units
Answer:
f(x)= h(x)+8
Step-by-step explanation:
WILL MARK BRAINLYIST
what is the top length of the missing piece
Answer:
4 1/2
Step-by-step explanation:
6--------1/2
/\
4 1/2
If you answer I’ll reward brainiest it’s easy
Answer:
1/9 of the total bag is chocolate
Need help on this math ASAP I will give the brainiest to the person who answers this correctly! Do the ones that are circled in red please. (67 points to the person who answers this)
The solution is, 0.39 = 39% of probability.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
When you need to calculate probabilities involving "or" questions, in general you should use the following formula: , where P(A) is the probability of event A and P(B) is the probability of event B.
In the problem given, P(A) = yes and P(B) = male, then:
P(yes) = 33/100
= 0.33
P(male) = 20/100
= 0.20 (all male that answered the question)
P(yes and male)
= 14/100
= 0.14 (all male that answered yes to the question)
P(yes or male) = P(yes) + P(male) - P(yes and male)
= 0.33+0.20-0.14
= 0.39
=39%
Hence, The solution is, 0.39 = 39% of probability.
To learn more on probability click:
brainly.com/question/11234923
#SPJ3
Complete question:
One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?
Q1. If sinθ = 3/5 and cosθ = 4/5, Find the value of tanθ (Use Pythagorean Identity)
Q2. If sinθ = 3/5 and cosθ = 4/5, Find the value of tanθ (Use Trignometric Identity)
Step-by-step explanation:
[tex]sinθ = \frac{3}{5} \: \: cosθ = \frac{4}{5} \\ now \\ tanθ = \frac{sinθ}{cos θ } \\ = \frac{3}{5 } \div \frac{4}{5} \\ = \frac{3}{5} \times \frac{5}{4} \\ = \frac{3}{4} [/tex]
Hope it will help :)❤
A cone and it’s dimensions are shown in the diagram below.
13 cm. 17.5 cm. 12 cm.
Which formula could be used to determine the volume of the cone?
Answer:
π r² h/3
Step-by-step explanation:
(pi x radius to the 2nd power times height divided by 3 )
π r² h/3
insert the height at the letter (h)
convert π to 3.14
insert radius at letter (r)
Lucy rode her bike around the block 4 times for a total of 1 mile yesterday.
Today she wants to ride her bike 3/4 of a mile.
How many times will she need to ride her bike around the block?
Answer:
4 times = 1 mile
1 time = 1/4 of a mile
She wants to ride 3/4 of a mile
3/4 is 3 times 1/4
She has to ride her bike 3 times around the track
3 times <<<<<===== answer
hope this helps tell me if im wrong plz
After traveling 70 m in its dive, the submarine is at a depth of 25 m. What will the submarine’s depth be if it continues its dive for another 110 m? (NOTE: The total length of the dive is MORE than 110m!)
Answer:
Total Depth: 64.28m
Step-by-step explanation:
Assuming that the submarine is travelling at a constant rate, then we can use the information provided and apply a Rule of Three since it is basically a ratio problem. In this rule, you simply need to multiply the diagonal values of the ratio and divide by the last value to get the variable, which would be the depth after 110m
70min <=======> 25 m
110min <=======> x m
(110 * 25) / 70 = x
2750 / 70 = x
39.28 = x
We can see that at 110min the depth would be 39.28 m but since this is an additional period of time that the submarine travelled we need to add this distance to the initial 25 m to get the total depth of the submarine.
39.28m + 25m = 64.28m
Six friends go to lunch and the total cost of lunch is $41.12. After using a $5 coupon to reduce the bill, the friends split the cost of lunch evenly. How much does each friend owe?
A $6.20
B $6.02
C $6.85
Answer:
6.02
Step-by-step explanation:
(41.12 - 5) / 6
= 6.02
whats 100 times 63 times 23 divided by 20 times 30 times 0 times 5 times 50 times 10
Answer:
0
Step-by-step explanation:
100 × 63 × 23 ÷ 20 × 30 × 0 × 5 × 50 × 10
You see the bold " × 0"; this means whatever happened before the " × 0" means nothing. You are left with "× 0 × 5 × 50 × 10". Any number times 0 or 0 times any number = 0. Your answer is 0.
certain adventure tourism business has a promotion with a 10% discount on the original price of light boat rentals. In addition, by recommending the business, a 5% discount is given on the previously discounted price. If a customer pays $12,000 after recommending the business, what was the original rental price?
HELP PLEASE
LOTS OF POINTS
EASY POINTS
JUST ANSWER
THXX <3
Answer:
180°
Step-by-step explanation:
You can rotate the equilateral triangle 180° to match the original orientation.
Help! I’ll reward brainest its pretty easy
Answer:B
Step-by-step explanation: looks like you got it right don’t second guess yourself.
Answer:
30yi terillion 9billion 8mil only
In a Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. Use the normal distribution to construct and interpret a 90% confidence interval for the proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12. The standard error is SE
Answer:
The standard error is 0.0157.
The 90% confidence interval for the proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is (0.5042, 0.5558). This means that we are 90% sure that the true proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is between 0.5042 and 0.5558.
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 zs[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex] is the standard error.
In a Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.
This means that [tex]n = 1012, \pi = 0.53[/tex]
The standard error is:
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.53*0.47}{1012}} = 0.0157[/tex]
The standard error is 0.0157.
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - zs = 0.53 - 1.645*0.0157 = 0.5042[/tex]
The upper limit of this interval is:
[tex]\pi + zs = 0.53 + 1.645*0.0157 = 0.5558[/tex]
The 90% confidence interval for the proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is (0.5042, 0.5558). This means that we are 90% sure that the true proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is between 0.5042 and 0.5558.
Please help!!!!!!!!!!
Answer:
557.8 square inches
each square is 5". the base is 4x4 squares- so 20 inches square. 20x20= 400sq inches.
the semicircle at the top is 20 inches in diameter, which makes the radius 10 inches.
pi× 10^2= 314.16.
duvide that by 2 to get a semicircle- 157.8
so, the total area is the 400+ 157.8, for a total area of 557.8 square inches
Find the perimeter of the figure to the nearest hundredth. due today
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 36.57
Explanation:
6x4 = 24
3.14(2)^2 = 12.56
12.57+24=36.57
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Can you simplify 6^7^3.
Answer:
6^7^3
6^(7×3)
6^21
power of power is multiplied.
A box had 8 rocks in it. Megan added some more rocks.
Now the box has 12 rocks in it. How many rocks did Megan
add to the box?
Answer:
Megan added 4 rocks.
Step-by-step explanation:
We know this because if the box had 8 rocks in it intially and it now has 12 rocks, we know that Megan added 4 rocks. Since, 8+4= 12 or 12-8=4
Equation form:
r = how many rocks Megan added
8+r=12
12-8=4
r=4
Megan added 4 rocks.
Hopefully this helps!! ^^