Answer:
Follows are the solution to the given points:
Step-by-step explanation:
Given values:
[tex]P(\frac{D}{A})=0.02 \\\\P(\frac{D}{B})=0.01\\\\P(A)=\frac{10,000}{10,000+2000} =\frac{10}{12} =\frac{5}{6} \\\\P(B)=\frac{1}{6}\\\\[/tex]
For point a:
[tex]P(D) =p(D\cap A) +P(D \cap B)\\\\[/tex]
[tex]=P(\frac{D}{A}) \times P(A) + P(\frac{D}{B}) \times P(B)\\\\=0.02 \times \frac{5}{6} + 0.01 \times \frac{1}{6}\\\\=\frac{0.1}{6} + \frac{0.01}{6}\\\\=\frac{0.1+0.01}{6} \\\\=\frac{0.11}{6} \\\\=\frac{11}{600} \\\\=0.0183[/tex]
For point b:
[tex]P(\frac{A}{D})= \frac{P(\frac{D}{A}) \times P(A)}{P(D)}\\\\[/tex]
[tex]= \frac{0.02 \times \frac{5}{6}}{\frac{11}{600}}\\\\= \frac{0.02 \times \frac{5}{6}}{0.0183333333}\\\\= \frac{0.02 \times 0.833333333}{0.0183333333}\\\\= \frac{0.0166666667}{0.018}\\\\=0.9090 \approx 0.0991[/tex]
For point c:
[tex]P(\frac{A}{D^C})=\frac{P(\frac{D^c}{A}) \times P(A)}{P(D^c)}\\\\[/tex]
[tex]= \frac{1-0.02 \times \frac{5}{6}}{1- \frac{11}{600}}\\\\= \frac{0.98 \times \frac{5}{6}}{0.98}\\\\=\frac{5}{6}\\\\=0.833[/tex]
help me pliss
which one is supposed to be correct?
A satellite weighs 150 pounds on Earth. Using
the table above, how much more does this
satellite weigh on Saturn than on Mars?
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 4,335 square feet. The width of the basement is
3/5 its length. What is the length of Louis's basement? The length is blank feet.
Answer:
The length of Louis's basement is 85 feet.
Step-by-step explanation:
The area of the basement, A = 4,335 square feet
The width of the basement is 3/5 its length.
Let length be l.
Width = (3/5)l
The area of the basement is given by :
[tex]A=l\times b\\\\4,335 =l\times \dfrac{3}{5}l\\\\4,335 =\dfrac{3}{5}l^2\\\\l^2=\dfrac{4,335 \times 5}{3}\\\\l=\sqrt{\dfrac{4335\times5}{3}}\\\\l=85\ ft[/tex]
So, the length of Louis's basement is 85 feet.
The graph shows the relationship between sugar and water in a fruit punch recipe.
Write an equation to represent the graph in terms of y and x.
(PLEASE HELP ME)
Answer:
41
Step-by-step explanation:
Find the area of the composite figure. First, find the area of the triangle. 3 cm Triangle Area = [?] cm2 6 cm Rectangle Area = [] cm2 9 cm Total Area of Composite Figure = [ ] cm2 Enter
Answer:
The area of the triangle is 9 and the area of the regtangle is 54 so when you add them you will get 63 i hope it will help!
I need help please i really need it (14 points)
Answer:
point b
Step-by-step explanation
piont b can go to piont e
Answer:
B
Step-by-step explanation:
Go through each point and see which ones works:
The seventh-grade class is putting on a variety show to raise money. It costs $150 to rent the auditorium that they are going to use. If they charge $5 per ticket, how many tickets do they need to see in order to raise at least $750?
Answer:
180 tickets
Step-by-step explanation:
750 + 150 = 900 they will have to make
900/5 = 180 tickets
To raise at least $750, the seventh-grade class needs to sell a minimum of 180 tickets, priced at $5 each, to cover the fundraising goal and the $150 auditorium rental cost.
Given that,
Seventh-grade class is putting on a variety show to raise money.
The auditorium rental cost is $150.
Each ticket is priced at $5.
The goal is to raise at least $750.
Denote the number of tickets they need to sell as "x".
The revenue generated from ticket sales can be calculated by multiplying the number of tickets sold (x) by the ticket price ($5),
Which gives us 5x dollars.
Now since,
Total revenue from ticket sales - Auditorium rental cost ≥ Fundraising goal
Therefore,
5x - 150 ≥ 750
Add 150 to both sides:
5x ≥ 900
Divide both sides by 5 to solve for x:
x ≥ 180
Since the seventh-grade class cannot sell a fractional number of tickets,
Hence,
They need to sell at least 180 tickets to raise at least $750 and cover the auditorium rental cost.
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24 = 2w - 10 Solve for w, simplify your answer as much as possible
Answer:
the answer is 17
Step-by-step explanation:
2w-10=24
10+24=34
34/2=17
so w=17
Answer:
w=17
Step-by-step explanation:
The height of a weather balloon as it is launched can be represented by an exponential model in the form y = a* b^x where y is the height in km after x minutes. After 2 minutes, the recorded height is 3 km, and after 3 minutes, it is 9 km. Which of the following represents another point on the graph of this exponential model?
Group of answer choices
(1,-3)
(1, 1)
(4, 15)
(4, 16)
Answer:
Step-by-step explanation:
4,15
The point (4, 3) is on the graph of this exponential model.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can use the given information to form two equations with two unknowns (a and b) and solve for them.
From the first data point (2, 3 km):
y = a b^x
3 = a b^2
From the second data point (3, 9 km):
y = a b^x
9 = a b^3
Dividing the second equation by the first equation:
9/3 = (a b³) / (a b²)
3 = b
Substituting b = 3 into the first equation:
3 = a x 3²
a = 1/9
So the exponential model is y = (1/9) x 3^x.
To find another point on the graph of this exponential model, we can choose a value for x and calculate y.
Let's try x = 4:
y = (1/9) x 3^4
y = 1 x 3/3 x 3/3 x 3/3 x 3/9
y = 3
Therefore,
The point (4, 3) is on the graph of this exponential model.
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The figure is made up of a semicircle and a triangle, what’s the area of the figure?
Answer:
63.25 ft², use the formula then you can find the answer.
The point (8,1) is on the line. (Remember the line continues in both directions forever.)
True
O False
the answear us true im preety sure
What is the value of x?
Answer:
x = 5.4
Step-by-step explanation:
3/x = 4/7.2
cross-multiply:
4x = 21.6
x = 5.4
Need help on this one thank u
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex]a + 0.5b - 4 a - b \\ - 3a - \frac{1}{2} b[/tex]
Help me pls pls pls
Answer:
8
Step-by-step explanation:
Step-by-step explanation:
sgnagngfanarmjmwramfanagdhndh
y = 2x + 4 and y = 3x
+ 2
what is the slope of the line that passes through the points (5,9)and (-3,9).
Answer:
[tex]\displaystyle m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, 9)
Point (-3, 9)
Step 2: Identify
x₁ = 5, y = 9
x₂ = -3. y = 9
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{9-9}{-3-5}[/tex][Slope] [Fraction] Subtract: [tex]\displaystyle m=\frac{0}{-8}[/tex][Slope] [Fraction] Divide: [tex]\displaystyle m=0[/tex]Mhanifa please help I need this done ASAP! I will mark brainliest. I don’t want people putting random answers! Thanks Mhanifa for all the help you give :) random answers will be reported y’all so you ain’t gonna get away with it!
Answer:
A. Obtuse isoscelesD. Right scaleneStep-by-step explanation:
Triangle 1This is isosceles as 2 sides marked equal and it has 135° angle which is obtuse as is between 90° and 180°
Correct option is
A. Obtuse isoscelesTriangle 2This is right triangle and all sides have different lengths.
Correct option is
D. right scaleneAnswer please I would appreciate it :)
Answer:
136 units²
Step-by-step explanation:
5x7=35
5x7=35
6x7=42
1/2(4)(6)=12
1/2(4)(6)=12
35+35+42+12+12=136
Whats the square root of 826 also looking for a minecraft girI needs to be 15 or older
Answer:
28.740,
Step-by-step explanation:
Answer:
28.7 and plus dont use people for internet gaming sidechicks its just wrong go find someone that can actually be there for you
Step-by-step explanation:
What is the probability of rolling a six on a fair die?
Answer: 1/6
Step-by-step explanation: To find the probability of rolling a six,
let's use our ratio for the probability of an event.
number of favorable outcomes / total number of outcomes
Since only one side of a die has a six on on it, the number of favorable
outcomes for rolling a six is 1 and since there are six sides to a die and it's
equally likely that the die will landy on any of these sides, the total number
of outcomes is 6.
So the probability of rolling a six is 1/6.
0.2 is x% of 2
please help me
Answer:
What is 0.2 percent of 2? = 0.004.
Answer:
x = 10%
Step-by-step explanation:
Simple: 2 divided by 0.2 equals 10.
If you multiply 0.2 by 10 you get 2.
Lemme know if you need me to elaborate!
what is 30% of 70?
I am confused
Answer:
21
Step-by-step explanation:
Answer:
Its 21
Step-by-step explanation:
Tally marks are always
recorded in bunches of
(4 5 1 2)
Answer:
what is the ?
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Mrs. Jordan participates in a math contest. She completes each question in 1/2
a minute. How long does it take Mrs. Jordan to complete 12 questions?
it takes mrs. jordan 24 minutes to complete 12 questions.
if she completes each question in 1/2 a minute, then:
1/2 / 12 questions = 24 minutes.
Explain your answer !!
Have a nice day
Will give braisnlt
Answer:
Equations:
[tex]4H + 3P = 13.75[/tex]
[tex]2H + 5P = 11.25[/tex]
[tex]H = 2.50[/tex] --- Hot dog
[tex]P = 1.25[/tex] --- Pretzel
Step-by-step explanation:
Represent hot dogs with H and Pretzels with P.
For Tina:
[tex]4H + 3P = 13.75[/tex]
For Doug:
[tex]2H + 5P = 11.25[/tex]
Solving for the price of both items:
We have:
[tex]4H + 3P = 13.75[/tex] --- (1)
[tex]2H + 5P = 11.25[/tex] --- (2)
Multiply (2) by 2
2 * ([tex]2H + 5P = 11.25[/tex])
-------------------
[tex]4H + 10P = 22.50[/tex] --- (3)
Subtract (3) from (1)
[tex]4H + 3P = 13.75[/tex]
[tex]4H + 10P = 22.50[/tex]
----------------------
[tex]4H - 4H + 3P - 10P = 13.75 - 22.50[/tex]
[tex]3P - 10P = 13.75 - 22.50[/tex]
[tex]-7P = -8.75[/tex]
Solve for P
[tex]P = \frac{-8.75}{-7}[/tex]
[tex]P = 1.25[/tex]
Substitute 1.25 for P in (2)
[tex]2H + 5P = 11.25[/tex]
[tex]2H + 5 * 1.25 = 11.25[/tex]
[tex]2H + 6.25 = 11.25[/tex]
Collect Like Terms
[tex]2H = 11.25-6.25[/tex]
[tex]2H = 5[/tex]
Solve for H
[tex]H = \frac{5}{2}[/tex]
[tex]H = 2.50[/tex]
Estimate √40 to the nearest tenth. *
A. 6.9
B. 6.3
C. 7.1
D. 5.7
Given h(x) = -5x + 3, find h(5).
Answer:
h(5) = -22
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(x) = -5x + 3
h(5) is x = 5
Step 2: Evaluate
Substitute in x [Function]: h(5) = -5(5) + 3Multiply: h(5) = -25 + 3Add: h(5) = -22Find the pattern. What numbers come next?
61, 54, 47, 40,
Answer:
33
Step-by-step explanation:
It's decreasing by 7
The relation is the descending the series by 7 and the next term is 33.
We have to determine, find the pattern and what numbers come next
We have given that, 61, 54, 47, 40.
What is the series?
A series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other.
61-54=7
54-47=7
47-40=7
So the next term is
40-7=33
Therefore the relation is the descending the series by 7 and the next term is 33.
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determine whether ABCD is a parallelogram The vertices are A(-2,3) , B(3,2), C(2,-1) and D(-3,0)
Answer:
Yes, this is a parallelogram
Step-by-step explanation:
Michael has 12% of his paycheck
automatically deposited to his savings
account. His last paycheck was $2165.00
How much money was deposited to
Michael's savings account?
If Michael Saves this amount for
24 consecutive pay periods, how much
will he have saved total?
Answer:
259.80 dollars was deposited from his last pay check and he will have saved 6235.20 dollars in total
Step-by-step explanation: