Answer:
the probability that this employee belongs to group I is 0.2118
Step-by-step explanation:
Given the data in the question;
P( group 1 ) = 0.20
P( group 11 ) = 0.60
P( group 111 ) = 0.20
now
[tex]P( \frac{certified}{Group1} )[/tex] = 0.10
[tex]P( \frac{Not-certified}{Group1} )[/tex] = 0.90
[tex]P( \frac{certified}{Group11} )[/tex] = 0.20
[tex]P( \frac{Not-certified}{Group11} )[/tex] = 0.80
[tex]P( \frac{certified}{Group111} )[/tex] = 0.05
[tex]P( \frac{Not-certified}{Group111} )[/tex] = 0.95
so
[tex]P( \frac{group1}{Not-certisfied} )[/tex] = [ [tex]P( \frac{Not-certified}{Group1} )[/tex] × P( group 1 ) ] / [ [tex]P( \frac{Not-certified}{Group1} )[/tex] × P( group 1 ) + [tex]P( \frac{Not-certified}{Group11} )[/tex] × P( group 11 ) + [tex]P( \frac{Not-certified}{Group111} )[/tex] × P( group 111 ) ]
we substitute
[tex]P( \frac{group1}{Not-certisfied} )[/tex] = [ 0.90×0.20 ] / [ 0.90×0.20 + 0.80×0.60 + 0.95×0.20
[tex]P( \frac{group1}{Not-certisfied} )[/tex] = 0.18 / [ 0.18 + 0.48 + 0.19 ]
[tex]P( \frac{group1}{Not-certisfied} )[/tex] = 0.18 / 0.85
[tex]P( \frac{group1}{Not-certisfied} )[/tex] = 0.2118
Therefore, the probability that this employee belongs to group I is 0.2118
Jose bought a 10-pound bag of food for his dog.
He fed his dog one-half of a pound of dog food
each day. Which equation is used to determine,
y, the amount of dog food that remains at the
end of each day, x?
The answer choices are on the top. Also please don’t send me links :) <3
Answer:
B
Step-by-step explanation:
so your starting value (10) is not going to have the x by it. instead he is feeding his dog so it will be subtracted from.
x is the number of days he can feed his dog. this will be mulitplied with something.
0.5 is how much he feeds his dog each day. this will be times the number of days or x.
so it makes your answer [tex]y=10-0.5x[/tex]
Question 6 of 10
What is the midpoint of the segment shown below?
10 --
(3,5)
O A. (7)
(2.2)
B. (5,7)
10
O C. (5.3)
O D. (7/ 2 )
SUBMI
Answer:
(2.5 , 3.5)
Step-by-step explanation:
We can use the midpoint formula . Here the points are , (2,2) and (3,5) .
• Using Midpoint Formula :-
⇒ M = { (x1 + x2)/2 , (y1 + y2)/2 }
⇒ M = ( 2+3/2 , 5+2/2 )
⇒ M = ( 5/2 , 7/2 )
⇒ M = ( 2.5 , 3.5 )
Hence the midpoint is (2.5 , 3.5)Morgan bought a sofa for $216.00. The finance charge was $25 and she paid for it over 15 months.
Use the formula Approximate APR =(Finance Charge÷#Months)(12)Amount Financed
to calculate her approximate APR.
Round the answer to the nearest tenth.
9.4%
9.3%
1.2%
1.1%
Answer:
9.3%
Step-by-step explanation:
Morgan's approximate APR is approximately 1.0%.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Using the given formula:
Approximate APR = (Finance Charge ÷ Months) x 12 / Amount Financed
We know that the amount financed is the total cost of the sofa minus the finance charge, which is:
Amount Financed = $216.00 - $25.00 = $191.00
We also know that the finance charge was $25.00 and she paid for it over 15 months, so:
Finance Charge ÷ Months
= $25.00 ÷ 15
= $1.67
The approximate APR is:
Approximate APR = ($1.67 x 12) ÷ $191.00 = 0.1393
Rounding this to the nearest tenth gives us 0.1, which is equivalent to 1.0% as the nearest percentage.
Therefore,
Morgan's approximate APR is approximately 1.0%.
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Please HELPPP!!!!
Ashly makes a model of a square pyramid. A diagram
of the model is shown. What is the volume of her model
in cubic meters?
Answer:
33 m
Step-by-step explanation:
HELP ASAP! I WILL MARK BRIANLIST! THANK YOU (:
Please help me ASAP
Please help me
Answer:
The base of triangle b is 8 inches
please help me with this !!
Answer:
Answer Below V
Step-by-step explanation:
1. They must be adjacent
2. They have to be connected with the line segment Z
will give brainliest <3! please help! no fake answers please
Answer:
input 1 output 1 ×7 =7
input 2 output 2 ×7 =14
input 3 output 3 ×7=21
input 4 output 4×7=28
Answers are 7, 14, 21 and 28
I’ll give BRAINLY I just need help
Answer:
[tex]3x - 8 = 2x + 12 \\ x = 12 + 8 = 20 \\ 180 - 2x - 12 = y \\ y = 180 - 40 - 12 = 128[/tex]
Vicki made 3 quarts of lemonade to serve at her party. she will serve the lemonade in glasses that hold 1 cup of liquid each. how many of these glasses can Vicki fill with lemonade? ( giving extra points etc. )
A : 16
B : 12
C : 14
D : 8
Answer: 12, B
Step-by-step explanation: There are 2 pints in a cup, and two cups in a quart. so 2 plus 2 is 4. 4 times 3 equals 12. so it is 12
With individual lines at its various windows, a post office finds that the standard deviation for normally distributed waiting times for customers on Friday afternoon is 7.2 minutes. To test this claim, the post office experiments with a single, main waiting line and finds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes. a) With a significance level of 5 percent, conduct an appropriate test on the claim. (State your null hypothesis, test statistic, critical value, decision rule, conclusion) (15 points) b) What is the 95% confidence interval for the population variance
Answer:
H0 : σ²= 7.2²
H1 : σ² < 7.2
We can conclude that the mean waiting time of customers vary less, Than 7.2 minutes.
Step-by-step explanation:
H0 : σ²= 7.2²
H1 : σ² < 7.2²
The test statistic :
X² = [(n - 1)*s² ÷ σ²]
s² = 3.5
n = sample size = 25. ; s²
X² = [(25 -1)*3.5² ÷ 7.2²
X² = (24 * 3.5^2) / 7.2^2
X² = 5.67
Pvalue from Chisquare statistic :
P(X² < 5.67) = 0.000042
Pvalue < α ; we reject the Null.
Hence, we can conclude that the mean waiting time of customers vary less, Than 7.2 minutes.
Savings Account: A woman deposits $400 in a savings account that pays 6% annually. If she withdraws all the money in the account after 120 days, how much does she withdraw (rounded to the nearest dollar)? She withdraws $ * after 120 days.
I'm struggling with this one any help would be greatly appreciated!
Answer:
jdbdvfbf did ddbvdrvd d dv
Find the sum of -52 and -26.
Step-by-step explanation:
-52 + -26 = -78
hope this helps
Pls help me I don’t know I just need 5 and 6 to be answered
Answer:
5. Mark had 6 laps and John has 42 laps. So you could do a sentence like: John has 42 laps and Mark has 6 laps. What is the diffrence between the two laps?
6. Im not sure about this one :/. Im truly sorry. :(. Good luck tho!
Step-by-step explanation:
Which expression is equivalent to 3(x + 4)?
Answer:
3x + 12
Step-by-step explanation:
Use the distributive property.
3(x + 4) = 3 * x + 3 * 4 = 3x + 12
Answer: 3x + 12
Answer:
3x+12
Step-by-step explanation:
Expenses that are incurred directly or entirely in connection with the selling of merchandise are classified as
Hello, can someone help me with this question?
Answer:
area = 77 m²
Step-by-step explanation:
area = (14 x 3) +(5 x 5) + (5 x 2) = 42 + 25 + 10 = 77 m²
What is the volume and cubic feet of a rectangular prism with a base of 24 square feet and a height of 16 feet
Answer:
126
Step-by-step explanation:
Ashley had $14.80. She spent $2.60 on lunch, then
brother gave her the $6 he owed her. What does she
now?
$11.40
$6.20
$18.20
$23.40
Answer: $18.20
Step-by-step explanation:
14.80-2.60 is 12.20.
her brother gives her 6 dollars
12.20+6 is 18.20, which that is the answer.
Answer:
18.20
Step-by-step explanation:
I got this because she got 6 making her total 20.80 then I subtracted what she spent for lunch
QUICK BEING TIMED
If 2 inches on a map represents 25 miles, how many inches would represent 225 miles?
Answer:18
Step-by-step explanation:
18 inches represent 225 miles.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Suppose we have two ratio p : q and r : s.
If both these ratios are proportional, then we can write it as p: q : : r : s.
This is same as p : q = r : s or p/q = r/s
Given that,
2 inches on a map represents 25 miles.
We have to calculate the value of inches that correspond to 225 miles.
Let x be the unknown value of inches that correspond to 225 miles.
Using proportional concept,
2 : 25 = x : 225
This can also be written as,
2 / 25 = x / 225
Cross multiplying,
2 × 225 = 25 x
x = (2 × 225) / 25
x = 18
Hence the value of the unknown inch is 18 inches.
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How long is the base of a parallelogram if it has an area of 100 square meters and a height of 5 meters?
Answer:
Base of parallelogram = 20 meter
Step-by-step explanation:
Given:
Area of parallelogram = 100 square meters
Height of parallelogram = 5 meters
Find:
Base of parallelogram
Computation:
Area of parallelogram = [Base of parallelogram][Height of parallelogram]
By putting value in the formula;
100 = [Base of parallelogram][5]
Base of parallelogram = 100 / 5
Base of parallelogram = 20 meter
Is the equation linear?
(a) y = -x^2 +7
(b) y=4x^3
(C) y=3^x
(d) y = 2x-6
Answer:
a. ya
b. ya
c. ya
d. ya
Step-by-step explanation:
if you put them you never cross the line
The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is 30-49 years old is chosen at random, what is the probability that they have completed a bachelor's degree and no more? Round your answer to the nearest thousandth.
Answer:
If a resident who is 30-49 years old is chosen at random, the probability that they have completed a bachelor's degree and no more is 29.13%.
Step-by-step explanation:
Taking into account the educational table provided, if a resident who is 30-49 years old is chosen at random, to determine what is the probability that they have completed a bachelor's degree and no more the following calculation must be performed:
30-39 Bachelor's degree = 1576
40-49 Bachelor's degree = 443
30-39 Total = 4062
40-49 Total = 2869
4062 + 2869 = 100
1576 + 443 = X
6931 = 100
2019 = X
2019 x 100/6931 = X
201900/6931 = X
29,129 = X
Therefore, if a resident who is 30-49 years old is chosen at random, the probability that they have completed a bachelor's degree and no more is 29.13%.
Answer:
0.296
Step-by-step explanation:
Have completed bachelor’s degree: 1008
Age 30-39: 3407
Probability : [tex]\frac{1008}{3407}[/tex]
≈0.296
6 times the number of waiters at a restaurant was 6 less than the number of
customers in the restaurant. The number of waiters was 3. How many customers
were there?
Answer:
12
Step-by-step explanation:
6x3-6=12
Answer:
12 customers
Step-by-step explanation:
6*3=18
18-6=12
So, there were 12 customers
:)
You draw two marbles without replacement from a bag containing four red marbles, two yellow marbles, and five blue marbles
Step-by-step explanation:
your bigest chance is that youll draw a red and blue
2
In 2002, there were 450 households in the city of Klean that recycled. Each year since 2002, the number of
households that recycle has grown by 8%. Write a function to represent the number of households
in Klean that recycle x years since 2002.
Answer:
450 x 1.08 ^ X = N
Step-by-step explanation:
Since in 2002, there were 450 households in the city of Klean that recycled, and each year since 2002, the number of households that recycle has grown by 8%, to write a function to represent the number of households in Klean that recycle X years since 2002 the following mathematical reasoning should be raised:
450 (initial number) x 1.08 (8% is added to the initial number) ^ X (years) = Number of households that recycle
450 x 1.08 ^ X = N
Thus, for example, if said number were calculated in 2007, that is, 5 years after 2002, the equation would apply as follows:
450 x 1.08 ^ 5 = N
450 x 1.4693 = N
661.20 = N
The coordinates of the vertices of the triangle shown are A(2, 13), B(10, 5) and C(12, 14). What is the length of segment AB in units?
9514 1404 393
Answer:
8√2 units
Step-by-step explanation:
The distance formula is useful.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((10 -2)² +(5 -13)²) = √(64 +64)
d = 8√2
The length of AB is 8√2 units.
In 2002 the population of schoolchildren in a city was 90,000. The population decreases at a rate of 5% per year. What will be the population of school children in 2010?
Answer:
40,000 Not sure but i finish unit and got all a's and b's
Step-by-step explanation:
Answer:
59708Step-by-step explanation:
Initial population = 90000Decrease rate = 5% or 0.05 timesTime = 2010 - 2002 = 8 yearsPopulation of children in 2010:
P = 90000*(1 - 0.05)^8 = 59708 (rounded to the whole number)Find the distance between the two numbers on the number
line.
Answer:
3 1/2
Step-by-step explanation:
|-7| - |-3 1/2| = 3 1/2
I NEED HELP PLS I need the base and volume of this pic should be above pls help
Answer:
Area of the base=16m squared
Volume of the figure =21m cubed