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Work Shown:
0.95% = (0.95)/100 = 0.0095
0.95% of 100,000 = 0.0095*(100,000) = 950
We expect about 950 games will be defective.
Answer:
A: 950
Step-by-step explanation:
Each observation indicates the primary position played by the Hall of Famers: pitcher (P), catcher (H), 1st base (1), 2nd base (2), 3rd base (3), shortstop (S), left field (L), center field (C), and right field (R). a. Construct frequency and percent frequency distributions to summarize the data. Position Frequency Percent Frequency (to one decimal) Pitcher % Catcher % 1st base % 2nd base % 3rd base % Shortstop % Left field % Center field % Right field % b. What position provides the most Hall of Famers
Answer:
a. See below for the Frequency and Relative frequency Table.
b. Pitcher (P) is the position provides the most Hall of Famers.
c. 3rd base (3) is the position that provides the fewest Hall of Famers.
d. R is the outfield position that provides the most Hall of Famers.
e. Th number of Hall of Famers of Infielders which is 16 is less than the 18 Hall of Famers of those of outfielders.
Step-by-step explanation:
Note: This question not complete. The complete question is therefore provided before answering the question as follows:
Data for a sample of 55 members of the Baseball Hall of Fame in Cooperstown, New York, are shown here. Each observation indicates the primary position played by the Hall of Famers: pitcher (P), catcher (H), 1st base (1), 2nd base (2), 3rd base (3), shortstop (S), left field (L), center field (C), and right field (R).
L P C H 2 P R 1 S S 1 L P R P
P P P R C S L R P C C P P R P
2 3 P H L P 1 C P P P S 1 L R
R 1 2 H S 3 H 2 L P
a. Use frequency and relative frequency distributions to summarize the data.
b. What position provides the most Hall of Famers?
c. What position provides the fewest Hall of Famers?
d. What outfield position (L, C, or R) provides the most Hall of Famers?
e. Compare infielders (1, 2, 3, and S) to outfielders (L, C, and R).
The explanation of the answers is now provided as follows:
a. Use frequency and relative frequency distributions to summarize the data.
The frequency is the number of times a position occurs in the sample, while the relative frequency is calculated as the frequency of each position divided by the sample size multiplied by 100.
Therefore, we have:
Frequency and Relative frequency Table
Position Frequency Relative frequency (%)
P 17 30.91%
H 4 7.27%
1 5 9.09%
2 4 7.27%
3 2 3.64%
S 5 9.09%
L 6 10.91%
C 5 9.09%
R 7 12.73%
Total 55 100%
b. What position provides the most Hall of Famers?
As it can be seen from the frequency table in part a, Pitcher (P) has the highest frequency which is 17. Therefore, Pitcher (P) is the position provides the most Hall of Famers.
c. What position provides the fewest Hall of Famers?
As it can be seen from the frequency table in part a, 3rd base (3) has the lowest frequency which is 2. Therefore, 3rd base (3) is the position that provides the fewest Hall of Famers.
d. What outfield position (L, C, or R) provides the most Hall of Famers?
As it can be seen from the frequency table in part a, we have:
Frequency of L = 6
Frequency of C = 5
Frequency of R = 7
Since R has the highest frequency which is 7 among the outfield position (L, C, or R), it implies that R is the outfield position that provides the most Hall of Famers.
e. Compare infielders (1, 2, 3, and S) to outfielders (L, C, and R).
Total frequency of infielders = Frequency of 1 + Frequency of 2 + Frequency of 3 + Frequency of S = 5 + 4 + 2 + 5 = 16
Total frequency of outfielders = Frequency of L + Frequency of C + Frequency of R = 6 + 5 + 7 = 18
The calculated total frequencies above imply that number of Hall of Famers of Infielders which is 16 is less than the 18 Hall of Famers of those of outfielders.
I don’t know the answer please help me out
Helpppp me with explanation also please:(((((
Answer:
x=7/3
Step-by-step explanation:
3x2y=5 equation 1
3x-2y=9 equation 2
6x=14 add above 2 equations which eliminates y
x=14/6
x=7/3
The sum of triple a number and 5 is 40.
LAST ONE, ON A TIMER. Find the zeros of the function and write in a + bi form.
-(x+1)^2-4=0
Answer:
Option DStep-by-step explanation:
-(x+1)²- 4 = 0(x+1)² = - 4 x + 1 = ± √-4x = -1 ± 2iCorrect choice is D
Answer:
D
Step-by-step explanation:
Given
- (x + 1)² - 4 = 0 ( add 4 to both sides )
- (x + 1)² = 4 ( multiply both sides by - 1 )
(x + 1)² = - 4 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( subtract 1 from both sides )
x = - 1 ± 2i , then
x = - 1 + 2i, x = - 1 - 2i → D
3. a trader sold an article at a discount of
18% for GHC828.00. If the article
was initially marked to gain 25%
profit, find the:
a) cost price of the article
b) discount allowed.
Answer:
GHC757.317
GHC181.756
Step-by-step explanation:
Given that :
Discount on sale = 18%
Sale price at 18% discount = 828
828 = 100% - 18%
828 = 82%
The cost at 100% can be represented as :
828 = 0.82
x = 1
Cross multiply :
828 = 0.82x
x = 828 / 0.82
x = 1009.7560
The price 1009.7560 includes a marked gain of 25% ; Hence, cost price of the article is :
(100 - 25)% * 1009.7560
0.75 * 1009.7560
= GHC757.317
Discount allowed :
1009.7560 - 828
= GHC181.756
A T-shirt stand on the boardwalk recently sold 6 purple shirts and 9 shirts in other colors. What is the experimental probability that the next shirt sold will be purple?
Answer:
2/5.
Step-by-step explanation:
To find the denominator, you add all of the times the experiment has been done.
6 + 9 = 15.
Then, since they're asking about purple shirts, you put that as the numerator.
Making it 6/15.
To simplify, divide both sides by 3, making it 2/5 simplified.
The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.
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,
To find the denominator, you add all of the times the experiment has been done.
6 + 9 = 15.
Then, since they're asking about purple shirts, you put that as the numerator.
Making it 6/15.
To simplify, divide both sides by 3, making it 2/5 simplified.
Hence, The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.
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The Centers for disease Control and Prevention Office on Smoking and Health (OSH) is the lead federal agency responsible for comprehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to second-hand smoke. One of the many responsibilities of the OSH is to collect data on tobacco use. The following data show the percentage of adults in the United States who were users of tobacco from 2001 through 2011:
Year Percentage of Adults Who Smoke
1 22.9
2 21.7
3 21
4 20.3
5 20.3
6 19.9
7 19.4
8 20.7
9 20.7
10 19
11 18.8
What type of pattern exists in the data?
Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.
One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model suggest that OSH is on target to meet this goal?
Use your model to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal.
Out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience
Answer:
The probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.
Step-by-step explanation:
Given that out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree, to determine what is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, the following calculation must be performed:
253 = 100
62 = X
62 x 100/253 = X
6,200 / 253 = X
24.50 = X
Therefore, the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.
Guided Practice
Graph each equation by making a table. Then state the
domain and the range.
5A. 2x – y = 2
5B. x = 3
5C. y = -2
Look at this expression, and complete the statements.
3x + 2(x + 2) + 4
In the first term, 3 is
In the second term, (x + 2) is
In the last term, 4 is
Answer:
[tex]3 \to[/tex] Coefficient of x
[tex](x+2)\to[/tex] Variable
[tex]4 \to[/tex] Constant
Step-by-step explanation:
Given
[tex]3x + 2(x +2) + 4[/tex]
Required
Complete the statements
In 3x, x is the variable; so:
[tex]3 \to[/tex] Coefficient of x
In 2(x + 2), 2 is the variable so:
[tex](x+2)\to[/tex] Variable
4 stands alone. So, it is a constant
[tex]4 \to[/tex] Constant
Answer: In the first term, 3 is a coefficient
In the second term, (x + 2) is a factor
In the last term, 4 is a constant
Step-by-step explanation:
The 3 in the first term is multiplied by a variable, x. So it is a coefficient.
The (x + 2) in the second term is multiplied by 2. So, it is a factor.
The 4 in the last term is not multiplied by anything. It is a fixed value, so it is a constant.
Please help me with this
Look at the image
Answer:
do it ur self
Step-by-step explanation:
and don't cheat
Que número es menor que 2 1/2?
a-6/3
b-7/2
c-3
d-4
Please help . Stuck
Answer:
[tex] - \frac{9}{2} [/tex]
Step-by-step explanation:
Rate of change of y with respect to x
[tex] = \frac{60 - 96}{ - 12 - ( - 20)} \\ \\ = \frac{ - 36}{ - 12 + 20} \\ \\ = \frac{ - 36}{ 8} \\ \\ = - \frac{9}{2} [/tex]
Which is the graph of the linear equality 2x-3y<12
Answer:
The graph below shows the answer to
2x - 3y < 12
Also shown as
-3y < -2x + 12
Step-by-step explanation:
You can rearrange the inequality by subtracting 2x from both sides to isolate the y.
You now have -3y < 12 -2x
which can be put into the standard linear equation form of
-3y < -2x + 12
Then you divide both sides by -3 to get singular value of y, which is something like
-3/-3y < -2/-3x + 12/-3
which is
y > 2/3x -4
Note: I switched direction of the inequality because you are dividing both sides by a negative value.
PLEASE HELP!!!
In 1994, the city of Amuel had a population of 1,256 people. That same year a factory opened near the town, and many people moved into the city limits. The population grew to 1,381 people in 1995, and in 1996 the population of Amuel reached 1,519 people. Assume this rate of growth continued until the factory closed in 2007. How many people were living in Amuel when the factory closed? Explain. Round to the nearest whole number, if needed.
Answer:
Step-by-step explanation:
so if in 1994 it was = 1,256
1995 = 1256 + x = 1,381 {x is 125}
1996 = 1381 + x = 1,519 {x is 138}
2007 = it is eleven years from 1996 to 2007 so take the average of the both digits which we will find through adding both the x quantities and dividing it with 2 the answer is 131.5. back to 2007, so multiply 11 with 131.5 which is 1,446.5. now add 1,446.5 to 1519
and the answer is 2,965.5.
hope it helps
15. Set up a proportion and use it to solve for x. Show your work.
2
10
X
3
Answer:
x = 15
Step-by-step explanation:
Create a proportional relationship to solve for x
3/2 = x/10
Cross multiply
2x = 30
Divide both sides by 2
x = 15
Answer:
Step-by-step explanation:
10/(10 + 2) = x/(x + 3) Combine left denominator
10/12 = x/(x + 3) Cross multiply
10(x + 3) = 12*x Remove the brackets on the left
10x + 30 = 12x Subtract 10x from both sides
-10x -10x
30 = 2x Divide by 2
2x/2 = 30/2
x = 15
7,35,175, 875,... find the 10th term
Determine the radius of a cone that has a volume of 155.521 cubic inches and a height of 9 inches.
Answer:The answer is 4.06
Step-by-step explanation:
Okay I am 98% sure my math could be wrong since I don’t know what the possible answers to the question are but this is what I got.
Which algebraic expression is equivalent to the expression below? 2(3 + 5x) + 24 A. 10x - 30 B. 10x + 18 C. 5x + 30 D. 10x + 30
Answer:
10x +30
Step-by-step explanation:
2(3 + 5x) + 24
Distribute
2*3 + 2*5x+24
6+10x+24
Combine like terms
10x +30
Amanda is reading a book that has 125 pages. She has read 12 pages a day for 4 days in a row.
How many more pages does Amanda have left to read?
Give brainiest if right!!
Two planes travel in opposite directions from the same airport. The
first plane travels at a speed of 320 mph, and the second plane’s
speed is 1.5 times greater. What is the distance between the two
planes after 5 hours?
Answer:
4000 miles
Step-by-step explanation:
320x1.5=480
(320x5)+(480x5)=4000
4000 miles
Answer:
[tex]4,000\text{ miles}[/tex]
Step-by-step explanation:
Let's say that the two planes travel at point [tex]p[/tex]. Without loss of generality, let's say that the first plane travels left and the second plane travels right.
Distance is given by [tex]d=rt[/tex], where [tex]r[/tex] is rate or speed and [tex]t[/tex] is time.
If the first plane travels at a speed of 320 mph and the second plane travels 1.5 times this, the second plane must travel [tex]320\cdot 1.5=480[/tex] mph.
Using [tex]d=rt[/tex], the first plane must travel:
[tex]d=320\cdot 5=1600[/tex] miles
The second plane must travel:
[tex]d=480 \cdot 5=2400[/tex] miles
However, these are the planes' respective distances from point [tex]p[/tex]. Since they travelled in opposite directions, the total distance between them is equal to [tex]1600+2400=\boxed{4,000\text{ miles}}[/tex]
Lillian is sitting on a bench in the mall. She noticed that 3 out of the last 15 men who walked
by had a beard. What is the experimental probability that the next man to walk by will have a
beard?
Write your answer as a fraction or whole number.
Answer:
3/15= 1/5 That's the answer
(5/12 divided by 3/4 )
please finde this..
this is 7th class question
Mike works h hours in a week. To find his weekly pay he multiplies his hours by his pay of $24 per
hour and adds $6 for his sales bonus. He's decided that he wanted to take one-sixth of his weekly
pay and place it in his savings. Which simplified expression represents the amount that will go into
his savings each week?
Step-by-step explanation:
let n be the number of working hour
so total income is 24n + 6
now 1/6 of the income will be into saving
so the saving is (24n + 6) /6
The expression representing the amount that will go into his savings each week is $4h + $1.
What is Expression?An expression is combination of variables, numbers and operators.
Mike's weekly pay is given by:
Pay = (hourly rate) x (hours worked) + sales bonus
Pay = $24h + $6
To find one-sixth of his weekly pay, we can multiply his pay by 1/6:
Savings = (1/6) x Pay
Savings = (1/6) x ($24h + $6)
Savings = $4h + $1
Therefore, the simplified expression representing the amount that will go into his savings each week is $4h + $1.
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help me please lol this is an important grade
Answer:
YOUR ANSWER IS B
Step-by-step explanation:
plzz help ill mark u brainliest
A. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals
Step-by-step explanation:
<5 is congruent to <3 ( parallel lines form alternate interior angles)
<4 is congruent to <2 ( parallel lines form alternate interior angles)
the sum of angles 1,4, and 5 equals 180 (angles on a line)
the sum of angles 1,2,3 equal 180 as well
the ratio equivalent to 3:4.
Answer:
33:44
Step-by-step explanation:
4*11=44
3*11=33
Solve for the value of X pleassee
Answer:
188
Step-by-step explanation:
SR and ST are equal in length so the arc SR and arc ST also have same measurement
since the perimeter of the circle is equal to 360 and arc RT is given as 64
x = (360 - 64) / 2
x = 188
The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg. let p denote the proportion of all cartons which have at least one broken egg. Find a point estimate for p and also construct a 90% confidence interval for p.
Answer:
The point estimate for p is of 0.12.
The 90% confidence interval for p is 0.0862 < p < 0.1538.
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg.
This means that [tex]n = 250, \pi = \frac{30}{250} = 0.12[/tex]
The point estimate for p is of 0.12.
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value 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 - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.0862[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.1538[/tex]
The 90% confidence interval for p is 0.0862 < p < 0.1538.
