Answer:
I'm going to make an uneducated guess here.
I think the probability of two engines failing would be the same for either aircraft. In the instance that does happen, the helicopter doesn't fly at all and the airplane does.
I say the airplane is safer.
Step-by-step explanation:
So, the plane is safer than the helicopter.
Binomial distribution:
The formula for finding the probability by Binomial distribution is,
[tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]
For Helicopter,
We need to calculate, Probability of safe landing, [tex]P(X = 0)[/tex]
Here, [tex]n = 2, p = 0.99, (1 - p) = 0.01\ and\ x = 1[/tex]
As per binomial distribution formula [tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]
We need to calculate [tex]P(X \ge 1).[/tex]
[tex]P(X \ge1) = (2_C_1 \times 0.99^1 \times 0.01^1) + (2_C_2 \times 0.99^2 \times 0.01^0)\\P(X \ge1) = 0.0198 + 0.9801\\P(X \ge 1) = 0.9999[/tex]
For Plane,[tex]P(safe\ landing)[/tex]
Here, [tex]n = 4, p = 0.99, (1 - p) = 0.01\ and\ x = 2[/tex]
As per binomial distribution formula [tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]
We need to calculate P(X >= 2).
[tex]P(X \ge 2) = (4_C_2 \times 0.99^2 \times 0.01^2) + (4_C_3 \times 0.99^3 \times 0.01^1) + (4_C_4 \times 0.99^4 \times 0.01^0)\\P(X \ge 2) = 0.0006 + 0.0388 + 0.9606\\P(X \ge2) = 1\\[/tex]
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Convert the fraction 5/8 to decimal using long division method
A density graph for all of the possible times from 50 seconds to 300 seconds
can be used to find which of the following?
A. The probability of a time from 75 seconds to 350 seconds
B. The probability of a time from 25 seconds to 250 seconds
C. The probability of a time from 150 seconds to 350 seconds
D. The probability of a time from 75 seconds to 250 seconds
Answer: D. took quiz :)
Step-by-step explanation:
Answer: d. the probability of a time from 75 seconds to 250 seconds
Step-by-step explanation:
Find the missing side of the triangle
Answer:
195^2 + 28^2 = x^2
38025 + 784 = x^2
38809 = x^2
square root both sides
x = 197
Simplify -12x + 5x - x show work plz
Answer: -8x
Step-by-step explanation:
First, we need to take our given numbers
-12x+5x-x
Now let's start with the start of the equation
-12x + 5x = -7x
Now we take -7x and -x
-7x - x = -8x
Can you plz help right answer plz
Answer:
4.8 inches
Step-by-step explanation:
HEY I NEED HELP PLEASE
A bike travels 7 feet in 1/3 of a second
At the same speed, how many feet will
it travel in 5 seconds?
A) 35 feet
B) 155 feet
C) 105 feet
D) 21 feet
A) 35 Feet
7x5-35
Answer:
C) 105 feet
Step-by-step explanation:
7(15) = 105 feet
Answer:
C
Step-by-step explanation:
Set one second to x
7 = 1/3x
5÷1/3 = 15
7*15 = 105
Thus, we get C, or 105 as our answer
About 25% of the students at a college are freshmen. Of those, about 50% are women. Does that mean that 75% of the students at the college are freshmen women? Explain
Garland put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week
Answer:
1st week deposit= 2b+3
2nd week deposit=2(2b+3)
3rd week deposit=4(2b+3)
Total deposit=2b+3+2(2b+3)+6(2b+3)
=9(2b+3)
=18b+27
18b+27=477
18b. =477-27=450
18b. =450
;
b=450/18=25
Therefore 2b+3=2(25)+3 =50+3=53
PLEASE GIVE BRAINLIEST
A golf pro wants to determine if Titleist Pro V1 golf balls (1) travel farther, on average, than Callaway Chrome Soft golf balls (2). A robot hits 9 of each ball, selected at random, and the distance traveled is measured. Assume the distances traveled are normally distributed. The average distance traveled by the 9 Titleist Pro V1 golf balls is 261.1 yards with standard deviation 10 yards, and the average distance traveled by the 9 Callaway Chrome Soft golf balls is 249.3 yards with standard deviation 12 yards.
Which test should the golf pro use to determine if Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls?
a. pairedt test for means
b. paredz test for means
c. Ottest for proportions
d. test for means
e. test for means
f. Ottest for proportions
Complete options are;
A) Paired t-test for means
B) Paired Z-test for means
C) Z-test for proportion
D) t-test for means
E) Z-test for means
F) t-test for proportion
Answer:
B) Paired Z-test for means
Step-by-step explanation:
We are told that the distances travelled are normally distributed.
We are also trying to find out if the average distance travelled by the Titleist Pro V1 golf balls is farther than that of the Callaway Chrome Soft golf balls.
Also, the standard deviation of both cases are known.
Thus, this is where Paired Z-test for means is used.
According to the desired test, the correct option is:
a. paired t-test for means
At the null hypothesis, it is tested that ball 1 does not travel farther than ball 2, that is, the subtraction is of at most 0:
[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]
At the alternative hypothesis, it is tested if it travels farther, that is:
[tex]H_1: \mu_1 - \mu_2 > 0[/tex]
Since we have the standard deviation for the sample, the t-distribution is used.The values tested are greater than 1, hence, the test is for means.There are two samples, hence a paired test is used.Considering the three bullet points above, the correct option is a.
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A theatre has 46 rows.
There are 42 seats in each row.
During a show at the theatre, there are 50 empty seats.
Work out how many people are watching the show.
Answer:
1882
Step-by-step explanation:
46x42=1932 1932-50=1882
A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that more than 20 percent of the students will use them. A random sample of n students will be selected and asked whether or not they would use the vending machines. A large-sample test for proportions at the significance level of α = 0.05 will be performed. The null hypothesis that the proportion of all students who would use the vending machines is 20 percent will be tested against the alternative that more than 20 percent of all students would use them. For which of the following situations would the power of the test be highest?
A
The sample size is n = 750, and 20 percent of all students use the vending machines.
B
The sample size is n = 750, and 25 percent of all students use the vending machines.
C
The sample size is n = 1,000, and 25 percent of all students use the vending machines.
D
The sample size is n = 500, and 50 percent of all students use the vending machines.
E
The sample size is n = 1,000, and 50 percent of all students use the vending machines.
Answer:
E) The sample size is n = 1,000, and 50 percent of all students use the vending machines.
Step-by-step explanation:
CollegeBoard
For the following situations the power of the test be highest is, The sample size is n = 1000, and 55 percent of all students actually use the vending machines. So Option C is correct
What are the factors that affects the hypothesis test ?The power of the hypothesis test depends on three factors.
1. Sample size (n). Other things being equal, the greater the sample size, the greater the power of the test.
2. Significance level (α) : which is constant in this question.
(3) The "true" value of the parameter being tested. The greater the difference between the "true" value of a parameter and the value specified in the null hypothesis, the greater the power of the test.
Given that,
A random sample of n students will be selected
A large-sample test for proportions at the significance level of α = 0.05
The null hypothesis that the proportion of all students who would use the vending machines is 20%
Power of test would be highest,
For the largest sample size
Option C, has largest sample size
difference = true value - value specified in null hypothesis
= 55 - 20
= 35
both the conditions are satisfied for being a highest power of the test
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Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data: 1 1 2 3 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1 5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 7 1 2 2a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Enter relative frequencies to three decimal places.)x Frequency Relati veFrequency01245678(b) What proportion of batches in the sample have at most six nonconforming transducers? (Enter your answer to three decimal places.)What proportion have fewer than six? (Enter your answer to three decimal places.)What proportion have at least six nonconforming units? (Enter your answer to three decimal places.)
Answer:
(a) See attachment for table
(b) [tex]Atmost\ 6 = 21.667\%[/tex]
(c) [tex]Less\ than\ 6 = 21.667\%[/tex]
(d) [tex]At\ least\ 6 = 78.333\%[/tex]
Step-by-step explanation:
Given
The data (in the question)
Solving (a): Frequency and Relative frequencies of each data
The range of the data is 0 to 8. So the frequency of each is the number of times each of 0 - 8 occurs.
This is tabulated below:
[tex]\begin{array}{ccc}x & {Frequency} & {Relative\ Frequency} & {0} & {7} & {11.667\%} &{1}& {13} & {21.667\%} & {2} & {13} & {21.667\%} & {3} & {14} &{23.333\%} & {4} & {5} & {8.333\%} & {5} &{3} &{5.000\%} &{6} &{2} & {3.333\%} & {7} & {2} & {3.333\%} & {8} & {1} & {1.667\%} \ \end{array}[/tex]
[tex]Total\ \ \ 60[/tex]
The relative frequency is calculated as:
[tex]Relative\ Frequency = \frac{Frequency}{Total\ Frequency} * 100\%[/tex]
For instance: When x = 0:
[tex]Relative\ Frequency = \frac{7}{60} * 100\%[/tex]
[tex]Relative\ Frequency = \frac{700}{60} * \%[/tex]
[tex]Relative\ Frequency = 11.667 \%[/tex]
Solving (b): Proportion that have at most 6.
Here, we consider frequencies of 0 to 6.
This is represented as thus:
[tex]\begin{array}{ccc}x & {Frequency} & {Relative\ Frequency} & {4} & {5} & {8.333\%} & {5} &{3} &{5.000\%} &{6} &{2} & {3.333\%} & {7} & {2} & {3.333\%} & {8} & {1} & {1.667\%} \ \end{array}[/tex]
Add up the relative frequencies to get the proportion
[tex]Atmost\ 6 = 8.333\% + 5.000\% + 3.333\% + 3.333\% + 1.667\%[/tex]
[tex]Atmost\ 6 = 21.667\%[/tex]
Solving (c): Proportion that have at fewer than 6.
Here, we consider frequencies of 0 to 5.
This is represented as thus:
[tex]\begin{array}{ccc}x & {Frequency} & {Relative\ Frequency} & {4} & {5} & {8.333\%} & {5} &{3} &{5.000\%} &{6} &{2} & {3.333\%} & {7} & {2} & {3.333\%} & {8} & {1} & {1.667\%} \ \end{array}[/tex]
Add up the relative frequencies to get the proportion
[tex]Less\ than\ 6 = 8.333\% + 5.000\% + 3.333\% + 3.333\% + 1.667\%[/tex]
[tex]Less\ than\ 6 = 21.667\%[/tex]
Solving (d): Proportion that have at least 6.
Here, we make use of the complement rule:
[tex]At\ least\ 6 = 100\% - Less\ than\ 6[/tex]
[tex]At\ least\ 6 = 100\% - 21.667\%[/tex]
[tex]At\ least\ 6 = 78.333\%[/tex]
what is bigger 1 yard or 35 inches
Answer:
1 yard
Step-by-step explanation:
in a yard there is 36 inches
Find the
area of each
triangle.
9 m
5 m
8m
Answer:
22.5 [tex]m^{2}[/tex]
Explanation:
The equation for the area of a triangle is [tex]\frac{1}{2}[/tex]bh
In this case, the base is 9 m and the height is 5 m
9x5=45
45/2= 22.5
말 8.) A baker is ordering eggs for the week. How many cartons of 6 eggs would a baker need to have 225 eggs all together? Explain the reasoning for your answer. (4 pts.)
Answer:
38
Step-by-step explanation:
We know that each carton contains 6 eggs and we need a total of 225. To find this answer, divide 225 by 6, which is 37.5. We would have to round up one because you cannot buy half of a carton. So the answer is 38 cartons.
Stefan sells Jin a bicycle for 135 and a helmet and a helmet for 19 the total cost for Jin is 140% of Stefan spent originally to buy the bike and helmet how much did Stefan spend originally how much money did he make by selling the bicycle and helmet to Jin
Answer:
Originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.
Step-by-step explanation:
Given that Stefan sells Jin a bicycle for $ 135 and a helmet for $ 19, and the total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet, to determine how much did Stefan spend originally and how much money did he make by selling the bicycle and helmet to Jin, the following calculation must be performed:
100 + 140 = 240
140 = 135 + 19
100 = X
(100 x (135 + 19)) / 140 = X
100 x 154/140 = X
15,400 / 140 = X
110 = X
So originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.
Sharmila had 5/6 portion of the cake. She gave 2/6 portion of the whole cake to
her brother, then how much cake will remain with her?
Answer: [tex]\dfrac{3}{6}[/tex]
Step-by-step explanation:
Given
Sharmila has [tex]\frac{5}{6}[/tex] portion of cake
she gave [tex]\frac{2}{6}[/tex] portion to her brother
The remaining cake is given by
[tex]\Rightarrow \dfrac{5}{6}-\dfrac{2}{6}=\dfrac{5-2}{6}\\\\\Rightarrow \dfrac{3}{6}[/tex]
i.e. [tex]\frac{3}{6}[/tex] portion of cake will remain with her
The two rectanglesare similar. Which is a correct proportion between correspoding sides? I need help
Answer:
c. 12/4 = l/8
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Another friend's distance d from you (in feet) after t seconds is given by
d = |80 - 5t|. What does the 80 in the equation represent? What does the 5 in the equation represent? At what times is she 60 ft from you?
Quadrilateral A'B'C'D'is the result of rotating quadrilateral ABCD by 60° about the origin.
Choose all answers that apply
a. BC and B'C' are both parallel to the y-axis
b. <B and <B' have the same measures
c. D and D' have the same coordinates
d. none of the above
Answer:
a. No
b. Yes
c. No
Step-by-step explanation:
a. For BC and B'C to both be parallel to the y-axis when BC is parallel to the y-axis the figure must be rotated by a multiple of 180 degrees.
b. When you rotate a figure none of the angles in the figure change.
c. For D and D' to have the same coordinates the figure must be rotated by 360.
If the spinner is spun one time, what is the probability of the arrow NOT landing on a section labeled with an even number?
find the ratio of 20 : 50
Answer:
20:50
20/50=40%
need help on question 22 and 23 , ill give extra points
Andera worked 11 hour and 25 minutes last week at her job after school. How many minutes did she work?
Answer:
685
Step-by-step explanation:
11 hours = 660 minutes
660 + 25
Which arrangement of blocks has the least surface area?
Answer:
8 cubes separated
Step-by-step explanation:
What is the vertex of y=−2x2−4x−5
?
Question 1 options:
(−1,−3)
(−2,−3)
(1,−1)
(−1, 3)
Answer:
2x2-4x-5=0..........
OMG HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEE
Which choices are correct when determining the distance between −56 and 44?
A) The distance is 12 units.
B) The distance is 100 units.
C) distance = |−56 + 44|
D) distance = |−56 − 44|
E) distance = −|−56 + 44|
The correct way of determining the distance between −56 and 44 is distance = |−56 − 44|
What is distance?Distance is referring to the numerical measurement of how far an object is from a particular place.
Given that, what is correct way to determine the distance between -56 and 44,
So, the distance will be = |-56-44|
= |-100|
= 100
Hence the correct way of determining the distance between −56 and 44 is distance = |−56 − 44|
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There is an ice cream cake in the freezer. On Monday, the family eats 1/2 of
the cake. On Wednesday, they eat 1/4 of the cake. How much did the family
eat altogether?
Answer: 2/4
Step-by-step explanation: Easy 2 + 2 = 4
2. Which expression is equivalent to (9n - 7) - (6n + 5)?
A. 3n - 2
B. 3n - 12
C. 13n - 2
D. 13n - 10