Answer:
Kindly check explanation
Step-by-step explanation:
________A___ B___ C___ Total
Male____ 9___13___ 6____ 28
Female_ 20__ 19___ 2____ 41
Total___ 29__ 32___ 8____ 69
If one student is chosen at random,
Find the probability that the student got a C:
P(getting C) = (number of C's) / total number
P(getting C) = 8 / 69
Find the probability that the student was female AND got a "C":
P(female and C):
(number of female who got C / total number)
= 2 / 69
Find the probability that the student was male OR got an "B":
P(male OR B) :
(Number of males or B) = (28 + 32) - 13 = 47
= 47 / 90
find the probability that the student got a 'C' GIVEN they are female:______.
P(C given they are female) :
This is the proportion of females who got C
Total Number of females = 41
Females who got C = 2
Hence,
P(C given they are female) = 2 / 41
An engineering firm offers testing for electrical products. Currently they are testing a type of compact portable music player. They randomly select a number of the music player and conduct a series of tests and compute an overall score for each unit based upon the results of the testing routine. They determine that the test scores are normally distributed with a mean of 374 and a variance of 1,090. A unit is deemed faulty if it scores below 320. Find the probability of a random unit being faulty. Give your answer as a decimal to 2 decimal places.
Answer:
The probability of a random unit is deemed faulty if it scores below 320.
P( X < 320 ) = 0.0505
Step-by-step explanation:
Explanation:-
Given mean of the Population 'μ' = 374
Variance of the Population σ² = 1090
Standard deviation of the Population 'σ ' = √1090 = 33.01
Given 'X' be a random variable in normal distribution
[tex]Z = \frac{x -mean}{S.D} = \frac{320-374}{33.01} = -1.636[/tex]
Z = - 1.64
The probability of a random unit is deemed faulty if it scores below 320.
P( X < 320 ) = P( Z < - 1.64 )
= 1- p(Z > 1.64)
= 1 - ( 0.5 + A(1.64)
= 0.5 - 0.4495
= 0.0505
The probability of a random unit is deemed faulty if it scores below 320.
P( X < 320 ) = 0.0505
Marshal has the following data:
18
3
18
t
18
If the mean of the above data is 15, which number could t be?
t has a value of 18.
What is Mean?In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all the values are organized in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.
As per the given data:
Mean of 18, 3, 18, t, 18 is 15
Mean = (Sum of all observations)/(Total number of observation)
Mean = (18 + 3 + 18 + t + 18)/5
15 = (18 + 3 + 18 + t + 18)/5
75 = 57 + t
t = 18
The value of t is 18.
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A local bakery uses 1.75 cups of flour in each batch of cookies. The bakery used 5.25 cups of flour, that means they made 3 batches. If there are 5 dozen cookies in each batch, how many cookies did the bakery make?
Answer:
195
Step-by-step explanation:
you take how much is in a bakers dozen and then multiply that by 5 and then take that and multiply it by 3
Ramon is making book shelves. He bought a board that is 4/5 meter long. He needs 5 shelves. If he cuts 5 equal-sized pieces from the board, how long is each piece?
Answer:
Each board is (4/25) meters long = 0.16 meters long
Step-by-step explanation:
The board is 4/5 meters long, and he needs to cut 5 equal pieces, so we need to divide 4/5 of a meter in 5 parts.
This mathematically becomes: 4/5 divided by 5 which by the definition of division of rational numbers, is the same as :
4/5 times the reciprocal of 5 = (4/5) * (1/5) = (4/25) = 0.16 meters each board
Caden deposited $4,251 into a savings account 15 years ago. The account has an interest rate of 3.4% and the balance is currently $7,063.91. How often does the interest compound? a daily b monthly c quarterly d annually
Answer:
quarterly
Step-by-step explanation:
i just took the unit exam i got it right, its quarterly.
The results of the Atlantic Golf Tournament are given in this table. Player Jones Chang Gomez Harrison Score 3-over par 5-under par 2-under par 4-under par Which lists the golfers in order from best (lowest score) to worst (highest score)? In golf, par is a score of 0.
It’s Chang,Harrison,Gomez,Jones
Answer:
Chang, Harrison, Gomez, Jones is the answer
In 2005, the Federal Aviation Administration (FAA) updated its passenger weight standards to an average of 190 pounds in the summer (195 in the winter). This includes clothing and carry-on baggage. The FAA, however, did not specify a standard deviation. A reasonable standard deviation is 35 pounds. Weights are not Normally distributed, especially when the population includes both men and women, but they are not very non-Normal. A commuter plane carries 25 passengers. What is the approximate probability that, in the summer, the total weight of the passengers exceeds 5200 pounds
Answer: 0.0051
Step-by-step explanation:
Given the following :
Average Population weight (m) = 190
Population standard deviation (σ) = 35
Total weight of 25commuters (x) = 5200
Sample mean = 5200 /25 = 108
Sample standard deviation = standard error :
σ / √n = 35/√25 =
35/5 = 7
Zscore = (x - m) / standard error
Zscore = (208 - 190) / 7
Zscore = 18 / 7
= 2.57
P( Z > 2.57) = 1 - p(Z < 2.57)
P(z < 2.57) = 0.9949
1 - p(Z < 2.57) = 1 - 0.9949 = 0.0051
What is 4 1/2 as a decimal number
Answer:
4.25
Step-by-step explanation:
х у
0 3
3 15
7 31
10 43
Which of the following linear equations corresponds to the table above?
A. y= 4x - 3
B. y= 1/4X-3
С. y= 1/4X+3
D. y = 4x +3
Answer:
d. y = 4x + 3
Step-by-step explanation:
-15.5. - 15. - 14.5, -14, ...
What is this in explicit formula
Answer:
the numbers are going down by .5 nvm I answered this wrong.
What is the conditional of a capital letter is a vowel if and only if it is symmetrical
Answer:
If the capital letter is symmetrical, only then would the letter be a vowel.
Step-by-step explanation:
Note, in logic a conditional statement or sentence refers to a statement that has a hypothesis (assumed condition), with a conclusion (or results).
In other words, the conditional statement is saying that a certain event would occur if the first condition is true.
For example, saying: if today is Monday, only then would tomorrow be Tuesday.
15 - (-7) = ?? Please help if you know the answer can you maybe show work or explane how you got the answer thank you :)
Answer:
22
Step-by-step explanation:
since a negative times a negative equals a postive the equation becomes 15+7 which is 22
Zoe purchased a 5 year $3500 bond below per value for $2975 with a coupon 3.2% what was her yield?
Answer:
I think it's 3.8%
Answer:
3.8%
Step-by-step explanation:
60 + 2а – 4 = 2b + За
Answer:
56 - 2b = a
Step-by-step explanation:
Step 1:
60 + 2a - 4 = 2b + 3a
Step 2:
56 + 2a = 2b + 3a
Step 3:
56 = 2b + a
Answer:
56 - 2b = a
Hope This Helps :)
A 16 -oz iced tea at a certain restaurant has 80 calories. How many calories are there in a 24-oz iced tea?
Answer:
120 calories
Step-by-step explanation:
8 oz is 40 calories so an extra 8 oz is another 40 calories added onto the 80 from the 16 oz to equal 24 oz
the product of 7/8 and 9/10 is greater than 9/10
Answer:
No
Step-by-step explanation:
7/8x9/10=63/80
So to compare they need to have the same demoninators
9/10x8/8=72/80
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which operation would u do first 2 · 15 - 2 ÷ 5 (order of operation)
Answer:
Multiply 2*15
Step-by-step explanation:
2 · 15 - 2 ÷ 5
PEMDAS
Parentheses none
Exponents - none
Multiply and divide from left to right
2*15 = 30
Then 2÷5 = .4
30 - .4 = 29.6
Answer:
You would multiply first.
Step-by-step explanation:
The order of operations goes Multiplication or Division then Adding or Subtracting. The equation is 2 × 15 - 2 ÷ 5. Since there you have to multiply and divide you go left to right on the equation. This means that you multiply first.
Hope This Helps :)
A farmer plants apple trees on a on a 235-acre farm. There are 47,000 apple trees evenly dispersed throughout the farm. How many apple trees are there on each acre of land?
Answer:
There are 200 trees per acre.
Step-by-step explanation:
47000 trees divided by 235 acres gets you 200 trees per acre.
When you go back and check your work, 200 trees per acre times 235 acres equals 47000 trees.
I hope this helps! :)
What is the y-intercept and x-intercept of g(x)=-2x+6
Answer:
see below
Step-by-step explanation:
g(x)=-2x+6
To find the y intercept set x = 0
g(0) = -2(0) +6
g(0) = 6
The y intercept is 6
(0,6)
To find the x intercept set y = 0
0 = -2(x) +6
Subtract 6 from each side
0-6 = -2x+6-6
-6 = -2x
Divide each side by -2
-6/-2 = -2x/-2
3 = x
The x intercept is 3
(3,0)
Answer:
x-int : 3
y-int : 6
Step-by-step explanation:
in order to find x intercept, you set the function equeal to 0
0= -2x + 6
then solve for x
-6 = -2x
3=x
To solve for the y intercept, you plug in 0 for x
y = -2(0) + 6
then solve for y
y = 6
Milk $1.00 for a pint . 1/2 cups =
Answer:
50 cents
Step-by-step explanation:
half of $1.00 is .50
Round 3,101 to the nearest hundred.
Answer:
it is 3,100
Step-by-step explanation:
bc you cant round up 0 so your answer is 3.100
The inventory policy of a retail company is to hold only the highest sales volume items in its distribution center and to ship the remaining lower sales volume items direct from the respective manufacturers to its stores. This policy is intended to reduce transportation costs. Total annual sales of the company are $1 billion. It is known that half of this amount is accounted for by only 15% of the items. In addition, it is assumed that equation (8.1) in the text can be used to model the Pareto cumulative distribution. (a) If the company wants to stock the top selling 35% of the items in the distribution center, what is the expected value of these items in terms of annual sales? (b) On the other hand, if the company wants to stock only those items accounting for the top 75% of annual sales, what proportion of the items corresponds to this sales volume?
Answer:
a. 75.3% is the expected percentage and this value corresponds to 753 million dollars
b. 34.62% of items corresponds to 75% of this sales volume
Step-by-step explanation:
a. A =x(1-y)/(y-x)
X = 0.15, y = 0.50
A = 0.15(1-0.50)/(0.50-0.15)
= 0.15(0.5)/0.35
A = 0.2143
we have
x = 0.35
y = 0.35(1+0.2143)/(0.2143+0.35)
y = 0.425005/0.5643
y = 0.7531
y = 75.3%
75.3% is the expected percentage and this value corresponds to 753 million dollars
b. y = 0.75
find x
y = x(1+A)/(A+x)
x = yA/(1+A-y)
x = 0.75(0.2143)/1+0.2143-0.75)
x = 0.160725/0.4643
x = 0.3462
34.62% of items corresponds to 75% of this sales volume
F 20) = V - 5. Find f '(x) and its domain.
O A. f-' (2) = (2+5)*; x20
OB. f-1 () = 22 +5;x2-5
O c. f-'() = 22 +5;x20
O D. f-'(x) = (1 + 5)2; x
Answer:
radx-5=y.....(y+5)^2=x...(x+5)^2 a.or.b
Sub-greater radical equals 0 /d
Step-by-step explanation:
a flea weighs 0.000006349 ounces. how is number written in scientific notation
Simplify 5/13(.75-.49)
Answer: .01
Step-by-step explanation:
On Sunday, 77,098 fans attended a New York Jets game. The same day, 3,397 more fans attended a New
York Giants game than attended the Jets game. Altogether, how many fans attended the games?
What was the actual number of fans who attended the games?
Answer: 80,494 total fans attended the game altogether.
Please mark me! ┌(。Д。)┐
Answer:
80,495
Step-by-step explanation:
Helppppppppp please:)
Step-by-step explanation:
Thr triangles are similar if any two sides are proportional.
In this, we cannot see any proportional sides, like
DU should be proportional to UT, it is not.
SU should be equal to UE ,it is not.
So, The triangles are not similar.
Hope it helps :)
Subtract the sum of 6mn + 3m –12n from the sum of -13mn –2m -3n and 11m –18n –20mn.
Answer:
-3m
Step-by-step explanation:
Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis?
Answer:
The last graph
Step-by-step explanation:
Graphs 3 and 4 have negative rates of change.
Options C and D are the correct answer.
We have,
The rate of change for the interval 0 to 2 for each graph can be calculated as:
= (b - a) / (2 - 0)
Where (0, a) and (2, b) are the coordinates on each line.
Now,
Graph 1:
Rate of change.
= (0 - (-3) / (2 - 0)
= 3/2
Graph 2:
Rate of change.
= (-2 - (-3) / (2 - 0)
= (-2 + 3) / 2
= 1/2
Graph 3:
Rate of change.
= (-4 - (-3) / (2 - 0)
= (-4 + 3) / 2
= -1/2
Graph 4:
Rate of change.
= (0.5 - 2) / (2 - 0)
= -1.5 / 2
Thus,
Graphs 3 and 4 have negative rates of change.
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