Answer:
0.1322 = 13.22% probability that the soldier is mal-adjusted.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test
Event B: Soldier is mal-adjusted.
Probability of a positive test:
55% of 5%(mal-adjusted).
19% of 100 - 5 = 95%(well adjusted). So
[tex]P(A) = 0.55*0.05 + 0.19*0.95 = 0.208[/tex]
Probability of a positive test and soldier being mal-adjusted.
55% of 5%. So
[tex]P(A \cap B) = 0.55*0.05 = 0.0275[/tex]
What is the probability that the soldier is mal-adjusted?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.208} = 0.1322[/tex]
0.1322 = 13.22% probability that the soldier is mal-adjusted.
14. The measure of Fis 110. The measure of 2E is 100°
What is the measure of D?
150°
According to given angles ,
Angle C=180- angle F (Linear pairs or st.line )
=70
Angle B = 180 - angle B (Same as above)
=80
Now
Angle D =Angle C + Angle B (Exterior angle property of a triangle)
=150°
Enjoy
Use the Law of Cosines to find the measure of ∠F. Round to the nearest degree.
f = 5, g = 6, h = 7
Use: f² = g² + h² – 2gh cos F
Answer:
Solution given.
f = 5, g = 6, h = 7
<F=?
we have;
f² = g² + h² – 2gh cos F
5²-6²-7²=-2×6×7 cos F
-60/-84=cos F
F=cos-¹(5/7)=44.41°
<F=44.4° is a required answer
Please help me this is for 40 points !!!!
WILL
GIVE BRAINLIST ANSWER
...
.
..
.
..
.
.
.
.
Answer:
-10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
Answer:
YOU POST THIS TWICE
IT'S -10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
Andre sets up a rain gauge to measure rainfall in his backyard. On Tuesday, it rains off and on all day, use the graph to determine how much total rain fell on Tuesday
The total amount of rainfall is an illustration of the sum operator
The total amount of rainfall that fell on Tuesday is 35 mm
How to determine the total amount of rainfall?From the graph (see attachment), we have the following function values
f(10) = 2
f(11) = 3
f(12) = 2
f(1) = 4
f(2) = 6
f(3) = 8
f(4) = 10
f(5) = 0
Add up the function values to determine thet total amount of rainfall
Total = 2 + 3 +2 + 4 + 6 + 8 + 10 + 0
Evaluate the sum
Total = 35
Hence, the total amount of rainfall that fell on Tuesday is 35 mm
Read more about graphs at:
https://brainly.com/question/4025726
Each girl on a cheerleading squad bought a bear. The leader paid for their cheerleading outfits for each of them. She spent $175. Write and solve an equation to find how many cheerleading outfits, c, the leader bought. Cheerleading outfit cost- $12.50
Answer:
175 ÷ 12.50 = 14
Step-by-step explanation:
area of the parallelogram
Answer:
48[tex]m^{2}[/tex]
Step-by-step explanation:
Area = base x height
Area = 8m x 6m
Area = [tex]48m^{2}[/tex]
Find the exact value of sin 240° in simplest form with a rational denominator.
Step-by-step explanation:
sin 240° = -½√3 = -0.866
_______
Mixed Applications: Choose the best strategy
Choose any of the following strategies to solve the problems. Identify the strategy you used in each problem.
Use a formula
Draw a Diagram
Write a Number Sentence
Guess & Check
Where is the problem
Simplify (-32) divided by (-4)
Answer:
[tex] \frac{8}{1} [/tex]
Step-by-step explanation:
[tex] \frac{ - 32}{ - 4} [/tex]
Reduce factor by 4
[tex] \frac{ - 8}{ - 1} [/tex]
A negative divided by a negative equal positve so
[tex] \frac{8}{1} [/tex]
the simplest form of 32/4 is 8/1
find the GCD ( or HCF) of numerator and denominator GCD of 32 4 is 4
divide both the numerator and denominator GCD
32/4 ÷ 4/4
reduce fraction: 8/1
therefore, 32/4 simplify to lowest terms is 8/1.
Simplify 5(2y+6)+(-24y)
Answer:
-14y + 30
Step-by-step explanation:
Tell me if I am wrong but I think this is it.
Answer:
-14y+30
Step-by-step explanation:
Hope this helpss
Estimate the payment on a 2019 Honda Civic that is selling for $24,599. You will be leasing the vehicle for 3 years. The estimated resale value of the Honda after 3 years will be $13,750 and the sales tax and fees are estimated at 10%. You will need a 20% down payment and you will be financing the balance for 3 years at 2.8%.
Answer:
Step-by-step explanation:
The Williams family purchased 15 cheeseburgers for 75$ how did one cheeseburger cost?
Answer:
O.5 cents each
Step-by-step explanation
You have to multiply 75 by 0.15
y=-1/4(x-10)^2+28 write in standard form
Answer:
[tex]y = -\frac{1}{4}x^{2} + 5x + 3[/tex]
.Please help with question 21
Answer:
y=500x+20000
Step-by-step explanation:
Assume y varies jointly with x and z. If y = 12 when x = 2 and z = 4, find x when y = 9 and z =6.
Answer:3
Step-by-step explanation:
How many solutions does this equation have? -2-5x= -(5x+2)
Answer:
Infinite solutions
Step-by-step explanation:
A linear equation is given to us and we need to tell the no. of solutions. The equation is ,
=> -2-5x = - ( 5x +2)
If we look at RHS , negative sign is present outside the brackets .On opening the brackets , we have ,
=> -(5x) -(+2)
=> -5x -2
=> -2 - 5x
This is similar to LHS and hence they will represent same line . Hence they will have infinitely many solutions .
They have infinitely many solutions .3. Write an equation of the line that passes through (2, 3) and is perpendicular to y=-1/2x - 5
Answer:
y=2x-1
Step-by-step explanation:
A line that is perpendicular has a slope that is a negative reciprocal of the given equation. The slope of the given equation is -1/2, so the negative reciprocal would be 2.
Then, using slope-intercept form, plug in the point values (2,3) into the equation and solve for b.
y=mx+b
y=2x+b
3=2(2)+b
-1=b
Therefore the equation is y=2x-1
Can someone help me find the median first quartile second quartile third quartile and the interquartile range
for the questions
4.
5.
6.
7.
A farmer would like to estimate the mean amount of
milk produced per day by his 300 cows. He selects a
random sample of 15 cows and records the amount of
milk produced in gallons) by those cows. The dotplot
shows the data. Given that all of the recorded values are integers, what is the value of the standard error of the mean?
0.765
0.792
2.267
2.346
Answer:
0.765
Step-by-step explanation:
The dot plot shows the data
x= 20,21,22,23,24,24,25,25,25,26,26,27,28,29,31
The mean x`= ∑x/n =20+21,+22,+23,+24,+24,+25,+25,+25+,26+,26+,27+,28+,29+,31/15= 376/15
=25.067
where n is the sample size= 15
The standard deviation is σ=2.96
( using calculator)
The standard error is calculated as
SE= σ/√n
SE= 2.96/√15
SE= 0.765
CAN SOMEONE HELP A DUMMY OUT PLZ
Find the value of h for the triangle.
A14
h=1
No links plz :)
Thanks:)!!
9514 1404 393
Answer:
5.3
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh . . . . where b is the base length and h is the height.
The figure gives an area and shows b=h, so we have ...
14 ft² = 1/2(h)(h)
28 ft² = h² . . . . . . . . . multiply by 2
h = √28 ft ≈ 5.3 ft . . . . . take the square root
Simplify the expression using order of operation (11 - 8)^3 - 2 x 6
Answer:
500
Step-by-step explanation:
(11-3)^3-2x6
first evaluate 11-3-->8
then cube it-->8^3=512
then multiply 2x6-->12
then subtract the two-->512-12=500
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{Just do PEMDAS}[/tex]
[tex]\huge\textsf{Parentheses}[/tex]
[tex]\huge\textsf{Exponents}[/tex]
[tex]\huge\textsf{Multiplication}[/tex]
[tex]\huge\textsf{Division}[/tex]
[tex]\huge\textsf{Addition}[/tex]
[tex]\huge\textsf{Subtraction}[/tex]
[tex]\mathsf{(11 - 8)^3 - 2\times 6}[/tex]
[tex]\mathsf{11 - 8 = \boxed{\bf 3}}[/tex]
[tex]\mathsf{3^3 - 2 \times 6}[/tex]
[tex]\mathsf{3^3 = 3\times 3\times 3 = 9\times 3 = \boxed{\bf 27}}[/tex]
[tex]\mathsf{27 - 2 \times6 }[/tex]
[tex]\mathsf{2\times 6 = \boxed{\bf 12}}[/tex]
[tex]\mathsf{27 - 12}[/tex]
[tex]\boxed{\mathsf{\bf= 15}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 15}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Plz help me well mark brainliest if correct!!.....
Answer:
D
Step-by-step explanation:
Do I need to explain?
Answer:
D(8)
Step-by-step explanation:
So remember, 2 opposite sides of a triangle are equivelent.
We know that one of these sides are 3.
So the other side must be 3 as well.
This is 2 of the 4 sides of a rectangle.
If each side is 3, and there are two sides, this means that they add up to 6.
Subtract this from your total permiter:
22-6
=
16
Now remember, there are 2 sides left.
To find the answer, divide the 16(permiter left) by the 2(sides left):
16/2
=
8
This is your answer!
Hope this helps! :)
Please help 50 points to whoever answers, and brainliest to best answer!!!!
Answer:
x = 26/yz
Step-by-step explanation:
What is the expanded form of this number?
630.052
(6×100)+(3×1)+(5×1/100)+(2×1/1,000)
(6×100)+(3×1)+(5×1/10)+(2×1/100)
(6×100)+(3×10)+(5×1/10)+(2×1/100)
(6×100)+(3×10)+(5×1/100)+(2×1/1,000)
Answer:
Expanded Notation Form:
630.052 =
600
+ 30
+ 0
+ 0.0
+ 0.05
+ 0.002
Expanded Factors Form:
630.052 =
6 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 2 × 0.001
Expanded Exponential Form:
630.052 =
6 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 2 × 10-3
Word Form:
630.052 =
six hundred thirty and fifty-two thousandths
Step-by-step explanation:
Answer:
Expanded Notation Form:
630.052 =
600
+ 30
+ 0
+ 0.0
+ 0.05
+ 0.002
Expanded Factors Form:
630.052 =
6 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 2 × 0.001
Expanded Exponential Form:
630.052 =
6 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 2 × 10-3
Step-by-step explanation:
Hal has two cans containing biscuit dough. The cans are cylindrical and their dimensions (in inches) are as follows.
• Can A: h = 8 and r= 1.1
• Can B: h = 4 and r = 2.2
Which of the following statements about the volumes of the cans is true?
OA.
The volume of can A is half the volume of can B.
ОВ.
The volumes of the two cans are equal.
OC. The volume of can B is four times the volume of can A.
OD.
The volume of can B is half the volume of can A.
Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences.
Answer:
Tessa is correct. They have enough money.
Please read Comfort Zone on Wattpad!!!!!!
Two less than the product of five and a number is negative 12.
Answer:
1. 2x-4=10
2. 3x+3=2x-1
3. 7x+x=24
4. 5+x=-18
5. -14=10-6x
6. 2x-2=x+12
7. 3x-31=2
8. 5x-14=16
9. 2x+8=4(5-x
10. 2x-3=3(1+x)
Explanation:
I JUST TAKEN THE QUIZ!!!!!
y = a( x-h)^2 + k
h is the _______________________ shift.(+ shifts __________, shifts __________)k is the _______________________ shift. (+ shifts __________, shifts __________)If a is negative, the function is ____________________ across the ____- ________a1represents a vertical ________________________.a0 1represents a vertical ______________________.
can somebody help me fill this out plz
Which is true about the line whose equation is x = 5?
The slope is undefined.
The y-intercept is 4.
The value of x always equals the value of y.
The slope is zero.
Answer:
the slope is undefined
Step-by-step explanation:
Since x=5, the graph is a straight vertical line when x=5. Since the line is vertical and not horizontal, the slope is undefined. If the line was horizontal then the slope would equal zero.