[tex]3(x+2)^2-6=21[/tex]
GrumpyCorp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines drug users 96% of the time(a Positive test) and correctly determines non-users 90% of the time(a Negative test). A recent study concluded that 36% of college students use drugs. A potential employee has been tested and the result was Negative for drug use.
a) Construct ALL necessary probabilities using proper notation(Example: P(D) for a "drug user"). (Hint: there should be 6 total)
b) Find the Probability of a Negative test, by showing use of the above Probabilities first, and then followed by the proper calculation.
c) Use Bayes' Theorem to find the probability that a person who tests Positive actually was not a Drug User. Set up using Conditional Probability Notation and then substitute in numeric values.
Solution :
Drug : Drug user
T : Test positive
a). [tex]P(D) =0.36[/tex]
[tex]$P\left(\frac{T}{D} \right) = 0.96$[/tex]
[tex]$P\left(\frac{T^c}{D^c} \right) = 0.90$[/tex]
b). [tex]$P(T^c)= P\left(\frac{T^c}{D^c}\right) \times P(D^c)+ P\left(\frac{T^c}{D}\right) \times P(D)$[/tex]
[tex]$=0.9 \times (1-0.36) + (1-0.96) \times 0.36$[/tex]
= 0.5904
c). [tex]$P\left(\frac{D^c}{T}\right) = \frac{P\left(\frac{T}{D^c}\right). P(D^c)}{P\left(\frac{T}{D^c}\right). P(D^c) + P\left(\frac{T}{D}\right). P(D)}$[/tex]
[tex]$=\frac{(1-0.90) \times (1-0.36)}{(1-0.90) \times (1-0.36)+(0.96 \times 0.36)}$[/tex]
[tex]$=0.15625$[/tex]
in math what does the word "of" mean
Answer:
Multiplication
Step-by-step explanation:
The word 'of', in Math, simply means multiplication. Generally, whenever you encounter this word, put a multiplication sign in your equation at that point. The word 'of' is used very simply in percentage problems, and usually you just have to replace 'of' with a multiplication sign to get rid of it!
Answer:
"In mathematics, “of” means ”a part of something”. Mostly, “of” means “to multiply”. In other context, mathematical expressions like “f of x”, where “of” means “depending on” or “involving” or “defined in terms of” “x”; it also refers to the act of applying the function to its argument".
Step-by-step explanation:
Yw. Plz mark brainliest
1 Q1 - Mean
Work out the mean of each set of numbers.
11, 15, 13, 19, 17
[2]
2
56, 78, 63, 61, 74, 72, 81, 74, 75, 67
[2]
4.6, 5.9, 6.1, 2, 3.9, 2.4, 2.6, 1.9, 2.9, 1.3
[2]
o
alc
Jeremy caught 8 fish in a contest.
The mean weight of the fish was 4.35 kg.
He forgot to make his own record of the weight of the last fish,
but the first 7 were: 4.5 kg, 5 kg, 6.8 kg, 2.8 kg, 3.8 kg, 4.4 kg and 4.4 kg.
tal
0
5
What was the weight of the last fish?
kg
[2]
Markeit
Answer:
3.1 Kg
Step-by-step explanation:
Mean = Sum/Number of data
4.35=Sum/8
Sum= (4.5+5+6.8+2.8+3.8+5.5+4.4+4.4+last fish) = 31.7+last fish
4.35= (31.7+lastfish)/8
Last fish= (4.35×8) - 31.7 = 3.1 Kg
the area of a rectangle is 18cm square. what coul it dimension be?
Answer:
9 and 2
Step-by-step explanation:
9×2=18 and one side is longer than the other
your questions is wrong so dont come answer
Volume of of 7cm 4cm 5cm
Answer:
140
Step-by-step explanation:
You multiply 7 by 4 you get 28. Then multiply 28 by 5 you get 140.
When converting 6/81 into a decimal which is true.
Answer:
6/8 as a decimal is 0.75.
simplify:
(5x-4)+(3-4x)
Answer:
x - 1
Step-by-step explanation:
combine like terms
(5x -4x) = x
(-4 + 3) = - 1
Answer:
x - 1
Step-by-step explanation:
(5x - 4) + (3 - 4x)
5x - 4 + 3 - 4x
-4x -4x
x - 4 + 3
x - 1
find the sum of (x^2+6x-5)+(2x^2+15)
Answer:
3x²+6x+10 is your answer
Step-by-step explanation:
(x^2+6x-5)+(2x^2+15)
open bracket
x²+6x-5+2x²+15
add or subtract common
3x²+6x+10
I need the answer ASAP
1. In the figure, x is an exterior angle to the triangle below.
(a) Explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the algebra that proves this theorem.
(b) What is m
Answer:
109 is the correct answer of this question
Can anyone answer this please
Fill in the blank
In the expression 7+(2x6), the term (2x6) is the _ of two _ 2 and 6.
words to fill the blank
-power
-sum
-different
-ratio
-base
-coefficient
-factors
-product
-variable
-terms
-quotient
Answer:
..................................................................................
Step-by-step explanation:
hahaahahah
help quick
Write the ratio as a fraction in lowest terms. Be sure to make necessary conversions:
12 feet to 15 inches
48/53
Steps
15 inches = 1.25 feet
Ratio = 12 : 1.25
Simplified = 9.6 : 1
9.6 + 1 = 10.6
9.6/10.6 = 48/53
Checking...
12 feet = 144 inches
Ratio = 144 : 15
144 + 15 = 159
144/159 = 48/53
Answer:
[tex] \frac{12}{15} [/tex]
Step-by-step explanation:
12:15
•=12[tex] \frac{12}{15} [/tex]someone answer this please
Answer:
D) -4(-1) > 2 is a true statement
Step-by-step explanation:
A) 3 < 0 False
B) -6 > -1 False
C) 0 < -4 False
Emxpress the fractions 3/4, 7/16, and 5/8 with the LCD
Answer: The fractions 3/4, 7/16, and 5/8 with the LCD is 12/16, 7/16, 10/16.
Step-by-step explanation:
I really don’t get it!!
Answer:
The answer is b.
Step-by-step explanation:
Square root 124, you'll get 29.10, after that once you simplify it, you will get the answer and you will have to do the formula, a^2 + b^2 = c^2 since it is a triangle.
Answer:
x = 11,
m∡LMN = 124°
Step-by-step explanation:
since NO bisects ∡LMN, then ∡LMO = ∡NMO
so we can do the following to solve for 'x':
8x - 26 = 2x + 40
6x = 66
x = 11
now, plug 11 in for 'x' into either expression and double it, since ∡LMN is made up of two equal angles
8(11) - 26 = 88 - 26 = 62
62 x 2 = 124
4+ 3/6 + 2/6! It’s zearn!!
Answer:
=29/6
Step-by-step explanation:
4+3/6+2/6
=4+1/2+2/6
=9/2+2/6
=9/2+1/3
=29/6
Answer:
4 5/6 = 29/6 = 4.833333333
Step-by-step explanation:
4+3/6+2/6
Reduce the fraction 3/6 to lowest terms by extracting and canceling out 3.
4+1/2+2/6
Convert 4 to fraction 8/2
8/2+1/2+2/6
Since 8/2 and 1/2 have the same denominator, add them by adding their numerators.
8+1 / 2 + 2/6
Add 8 and 1 to get 9.
9/2 + 2/6
Reduce the fraction 2/6 to lowest terms by extracting and canceling out 2.
9/2 + 1/3
Least common multiple of 2 and 3 is 6. Convert 9/2 and 1/3 to fractions with denominator 6.
27/6 + 2/6
Since 27/6 and 2/6 have the same denominator, add them by adding their numerators.
27+2 / 6
Add 27 and 2 to get 29.
29/6
Jennifer has been collecting beads all summer. She started with 65 beads and by the end of the summer, she added 25 more beads to her collection. On the first day of school, she wants to evenly split the beads up among her 6 friends. How many beads will each friend get?
A. 12
B. 15
C. 24
D. 17
Answer:
hi!
First we need to see how many beads she collected in total at the end of the summer: 65+25=90 beads at the end of the summer
she gives to each of her friends 90:6(friends)=15 beads for each (answer B)
hope i helped!
ig: landonorris
:>
Is this a parallelogram? If so, please explain why.
Answer:
the answer is no
Step-by-step explanation:
It only shows that one pair of lines are parallel but not both are. Parallelograms have two pairs of parallel lines.
What is the actual distance between River City and Pine Bluff?
3. Find the surface area of the cylinder. (1 point)
2009.6 in
401.9 in
803.8 in
602.9 in
Answer:
Option (3)
Step-by-step explanation:
Surface area of a cylinder is given by the formula,
Surface area = 2πr(r + h)
Here, r = radius of the circular surfaces
h = Height of the cylinder
From the figure attached,
r = 8 in.
h = 8 in.
Therefore, Surface area of the cylinder = 2π(8)(8 + 8)
= 256π
= 803.8 in² [If π = 3.14]
Option (3) will be the correct option.
what is the area of a parallelogram that has a base of 8yd and a height of 4yd?
Answer:
32yd²
Step-by-step explanation:
A=bh=8·4=32yd²
An automobile manufacturer claims that its car has a 37.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 120 cars, they found a mean MPG of 37.1. Assume the standard deviation is known to be 1.1. A level of significance of 0.05 will be used. Make a decision to reject or fail to reject the null hypothesis.
Answer:
fail to reject the null hypothesis
Step-by-step explanation:
Based on the information provided I would fail to reject the null hypothesis. This is because the Miles per gallon that the independent testing firm has concluded for the car nearly matches the car's MPG claim. The difference being 0.1 . Since the standard deviation is 1.1 for this test, this means that the average falls perfectly within this range and makes the data very compelling. Combine this with a very low level of significance, I would say that the claim is backed by the data.
WHOEVER HELPS AND GETS IT RIGHT I WILL GIVE BRAINLY!!!!!
Answer:
3
Step-by-step explanation:
3(x-4)=12x distributing or diving
Which number can be placed in the box to make the number sentence true
7
7
Х
5
Л
5
multiplying a fraction less than I will make the product less than the other factor
3
6
multiplying a fraction byt will make the product larger than the other factor
3
-multiplying a fraction greater than I will make the product less than the other factor
15-multipying a fraction greater than 1 will make the product less than the other factor
Goes through points (-2,-1) and (-3,5)
Help me pleaseeeeeeeeeee
Answer:
Distance between two points = √37
Step-by-step explanation:
Given:
(-2,-1)
(-3,5)
Find:
Distance between two points
Computation:
Distance = √(x1 -x2)² + (y1 - y2)²
Distance between two points = √(-2+3)² + (-1 - 5)²
Distance between two points = √ 1 + 36
Distance between two points = √37
Jamie has $5.00 and Matt has $6.00. If they put their money together, will they be able to buy a souvenir program?
Here's the Souvenir prices:
Souvenir Program $13.00
T-shirt $17.00
Cap $12.50
Please help!!!!!!!!!!!!
What type of number is 2?
Choose all answers that apply:
A
Whole number
B
Integer
C
Rational
D
Irrational
Help????????????????
Answer:
After looking at your pfp and then the question I have came to a conclusion
y= 1x + 2
Im not sure if the 1 is right but the second is 2 for sure
Answer:
hey
Step-by-step explanation:
