Answer:
61+x=180
x=180-61
x=119
y+39=90
y=90-39
y=51
Answer:
(a)119°
(b)51°
Step-by-step explanation:
(a)Subtract the given angle from 180.
=180°-61°
=119° (The supplement of 61° is 119°)
(b)Subtract the given angle from 90.
=90°-39°
=51° (The complement of 39° is 51°)
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]
What is the actual distance between River City and Pine Bluff?
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]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
:>
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
Two less than three times a number
Answer:
3x-2
Step-by-step explanation:
3 times a number is 3x, if we use x as the number
Two less than (3x) is 3x - 2
using digits 3,6,1 and 5 write the greatest decimal number less than 1 that can be formed without repeating any digit. write it in words
[tex]3(x+2)^2-6=21[/tex]
Find the perimeter P of
JKLM
with vertices J(-3,-2),K(-5,-5),L(1.-5),M(3.-2) Round your answer to the nearest tenth
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
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
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
What type of construction is illustrated in the diagram below
Answer:
This is an angle bisector.
Step-by-step explanation:
This is due to the arcs being drawn from point C in a manner to intersect the line segment AB, and the points are then used to find another point by creating arcs, thus creating the angle bisector for the angle ∠ACB.
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
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
A hexagon can be divided into 4 non-overlapping triangles. Which is the sum of the interior angles of a hexagon?
Answer:
12
Step-by-step explanation:
4 time 3 =12
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
When converting 6/81 into a decimal which is true.
Answer:
6/8 as a decimal is 0.75.
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.
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!!!!!!!!!!!!
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
Can anyone answer this please
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:
1) Rewrite the expression as the difference of two squares.
(X+y)(x-y)-6x+9
A) (x + 3)2 + y2
B) (x + 3)2 - y2
c)(x – 3)2 + y2
D) (x – 3)2 - y2
Answer:
c
Step-by-step explanation:
Is the answer
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
WHOEVER HELPS AND GETS IT RIGHT I WILL GIVE BRAINLY!!!!!
Answer:
3
Step-by-step explanation:
hi please help me with this i’ll give brainliest if you give a correct answer
Answer:
Step-by-step explanation:
a) PR=SU
b) PQ=TU
c) RQ=TS
Answer:
<P = <U
PQ = TU
<T = <U
Step-by-step explanation:
Sides can be shown to be congruent through tic marks. If two lines have the same number of tic marks then they are congruent. PQ and TU both have one, therefore they are congruent.
Angles are shown to be congruent through arcs. If two angles have the same numbers of arcs then they are congruent. <P and <Q both have two and <T and <U both have one. So they are congruent.
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
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
