Answer:
[tex]P(F\ and\ R) = 0.21[/tex]
[tex]P(F\ and\ R^{-}) = 0.14[/tex]
[tex]P(R^{-}|F)= 0.40[/tex]
[tex]P(F^{-} and\ R) = 0.39[/tex]
[tex]P(F^{-}\ and\ R^{-}) =0.26[/tex]
[tex]P(F^{-}) =0.65[/tex]
Step-by-step explanation:
The variables have been defined in the question as:
[tex]F = Female\ Moviegoer[/tex]
[tex]F^{'} = Male\ Moviegoer[/tex]
[tex]R = Romantic\ Comedy[/tex]
[tex]R^{'} = War\ File[/tex]
Also, we have the following given parameters:
[tex]P(F) = 0.35[/tex]
[tex]P(F^{-}) =0.65[/tex]
[tex]P(R) =0.60[/tex]
[tex]P(R^{-}) = 0.40[/tex]
The solution is as follows:
[tex]a.\ P(F\ and\ R)[/tex]
[tex]P(F\ and\ R) = P(F) * P(R)[/tex]
Substitute values for P(F) and P(R)
[tex]P(F\ and\ R) = 0.35 * 0.60[/tex]
[tex]P(F\ and\ R) = 0.21[/tex]
[tex]b.\ P(F\ and\ R^{-})[/tex]
[tex]P(F\ and\ R^{-}) = P(F) * P(R^{-})[/tex]
Substitute values for P(F) and P(R-)
[tex]P(F\ and\ R^{-}) = 0.35 * 0.40[/tex]
[tex]P(F\ and\ R^{-}) = 0.14[/tex]
[tex]c.\ P(R^{-}|F)[/tex]
[tex]P(R^{-}|F)=\frac{P(R^{-}\ and\ F)}{P(F)}[/tex]
[tex]P(R^{-}|F)=\frac{P(R^{-})\ *\ P(F)}{P(F)}[/tex]
Substitute values for P(F) and P(R-)
[tex]P(R^{-}|F)=\frac{0.40 * 0.35}{0.35}[/tex]
[tex]P(R^{-}|F)= 0.40[/tex]
This implies that both events are independent
[tex]d.\ P(F^{-} and\ R)[/tex]
[tex]P(F^{-} and\ R) = P(F^{-}) * P(R)[/tex]
Substitute values for P(F-) and P(R)
[tex]P(F^{-} and\ R) = 0.65 * 0.60[/tex]
[tex]P(F^{-} and\ R) = 0.39[/tex]
[tex]e.\ P(F^{-}\ and\ R^{-})[/tex]
[tex]P(F^{-}\ and\ R^{-}) =P(F^{-}) * P(R^{-})[/tex]
Substitute values for P(F-) and P(R-)
[tex]P(F^{-}\ and\ R^{-}) =0.65 * 0.40[/tex]
[tex]P(F^{-}\ and\ R^{-}) =0.26[/tex]
[tex]f.\ P(F^{-})[/tex]
[tex]P(F^{-}) =0.65[/tex] --- Given
Help please stat! Brainlist!
Answer: 11.71 meters per second.
PLZ CORRECT ME IF I AM WRONG thxs and have a lovely day :)
Step-by-step explanation:
Which point on the number line could represent-25? А вс D 54 -3 -2 -1 0 1 2 3 4 5 А OB ОС OD. I will mark 1 answer brainlist
Answer:
B
Step-by-step explanation:
The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.
Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.
Select the correct answer from the drop-down menu.
need help fast please!
Answer:
i think its the first one
Step-by-step explanation:
if u subtract it , then it shouldn't be given a + sign at all
it should stay subtraction
have a good day! :)
plz give me brainliest
Answer: -7x to the seventh power+ x
Step-by-step explanation:
For the right triangle shown, which of these equations is correct?
1. all answers are correct
2. cos(53) = x/16
3. cos(53) = sin(37)
4. sin(37) = 16/x
Answer:
3
Step-by-step explanation:
3 because 37° and 53° these sum is 90°.
Answer:
3. cos(53)=sin(37)
Step-by-step explanation:
let y be the third side
cos(53)= adj/hyp
=y/16
sin(37)=opp/hyp
=y/16
therefore, sin(37)=cos(53)=y/16
Jonas received a gift card of 35.00 to use for an online app market to buy applications for his tablet. All applications cost 1.75. Which table represents the relationship between x, the number of apps Jonas can buy, and y, the balance remaining on his gift card
Answer:
Step-by-step explanation:
The table that represents this would have to be an inverse table where the higher the value of x increases the more the value of y decreases. That is because the more apps that he purchases the more money he spends which therefore decreases his remaining balance. Therefore the following table would represent this situation...
x y
---------------------
1 35.00
2 33.25
3 31.50
4 29.75
5 28.00
6 26.25
7 24.50
8 22.75
and so on...
Write the fraction as a decimal
4 -8
11
4 , and 8 over 11
Answer: 52
Step-by-step explanation:
11×4=44+8=52
Answer:
I'm pretty sure its 4.727
16
NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.
7.5cm
lets take point K represent lenght from M to perimeter of circle.
r is radius
KM= r-OM= r-4.5cm
now lets draw line from O to A (OA)
we get triangle.
hypotenuse is OA and it equals r(radius)
ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)
use pythaghorean theorem
squares of sides added = square of hypotenuse
20.25+36=r^2(our hypotenuse is radius)
56.25=r^2
r=√56.25=7.5cm
Answer:
The radius of the circle is 7.5 cm
Step-by-step explanation:
Circles and Lines
The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.
We have attached an image with some additional measures to solve the problem.
Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.
The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:
[tex]r=\sqrt{6^2+4.5^2}[/tex]
[tex]r=\sqrt{36+20.25}[/tex]
[tex]r=\sqrt{56.25}[/tex]
[tex]\boxed{r = 7.5\ cm}[/tex]
The radius of the circle is 7.5 cm
Find the first four terms of the arithmetic sequence
where a1 = 2 and d = 5 (use formula)
Answer:
first four terms are 2, 7, 12, 17
Step-by-step explanation:
use this formula: [tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)· d
where 'n' equals the position in the sequence the term is in and 'd' is the common difference
if [tex]a_{1}[/tex] = 2 and d = 5 are given, plug those into formula
[tex]a_{1}[/tex] = 2
[tex]a_{2}[/tex] = 2 + (2 - 1)·5 = 2+5 = 7
[tex]a_{3}[/tex] = 2 + (3 - 1)·5 = 2+2(5) = 12
[tex]a_{4}[/tex] = 2+(4 - 1)·5 = 2+3(5) = 17
The first four terms of the arithmetic sequence are 2, 7, 12, and 17.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
First term = 2
Common difference = 5
First term = 2
Second term = 2 + 5 = 7
Third term = 7 + 5 = 12
Third term = 12 + 5 = 17
Thus,
The first four terms of the arithmetic sequence are 2, 7, 12, and 17.
Learn more about arithmetic sequence here:
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6. What are the dimensions of this matrix?
Answer:
the dimensions will be 2 x 1
Option C is correct option.
Step-by-step explanation:
We need to determine the dimensions of this matrix [tex]\left[\begin{array}{c}2&\sqrt{5} \end{array}\right][/tex]
The dimensions consists of rows and columns in the form. Rows x Columns
In the given matrix the rows are: 2
The columns are: 1
So, the dimensions will be 2 x 1
Option C is correct option.
instant help guys please,I need this in about ten minutes.
please help I'll give brainiest to correct answer
3*9^1+X=27^-x.find x
Answer:
x=0
Step-by-step explanation:
3*9+x=27-x [9^1=9]
27+x=27-x
27-27= x+x
2x=0
x=0
Help me out here pleaseeeeeeeeee
WILL GIVE BRAINLIEST TO EVER ANSWERS FASTEST WITH CORRECT ANSWER!
Answer:
9,450 feet
Step-by-step explanation:
will give bralist HELP ME PLEASE
Answer:
It would be a I think
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
Factorize: Challenge problem:
x^2+19x+78
help :)
Answer:
(x + 6)(x + 13)
Step-by-step explanation:
Given
x² + 19x + 78
Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)
The factors are + 6 and + 13 , since
6 ×13 = + 78 and 6 + 13 = + 19 , then
x² + 19x + 78 = (x + 6)(x + 13) ← in factored form
[tex]\bold{ x^2+19x+78 }[/tex]
[tex]\bold{ x^2+13x+6x+78 }[/tex]
[tex]\bold{ x(x+13)+6(x+13) }[/tex]
[tex]\bold{(x+6)(x+13) }[/tex]
1. Write the postulate that confirms each statement.
Step-by-step explanation:
1. Angle GFH and Angle KFH forms linear pair
and hence they are supplementary
( sum of the angles = 180° )
Solve
20 + 6k - 14+k
Answer:
7k+6 is your answer to the question
A worker at a snack stand opened a new box of cups. On the first day, the worker used 30 cups from the box. On the second day, the worker used 15% of the remaining cups in the box. A total of 90 cups were used on the second day. What was the original number of cups in the box before any cups were used?
Answer:
630 cups
Step-by-step explanation:
Percentages
This problem is most easily solved backward, i.e., from the final data up to the beginning.
There was a new box of cups and the worker at a snack stand opened it. He first used 30 cups from the box and the second day he uses 15% of the remaining cups in the box, and we are told that represents 90 cups.
If 15% (0.15) equals 90 cups, then the number of cups before the second day was 90/0.15 = 600 cups.
On the first day, we used 30 cups, thus the original number of cups in the box was 600+30=630 cups
What is the quotient of 28 divided by 7 increased by 4
Answer:
8 beacaus the seven increased from 4
The quotient after increased by 4 is 8.
To calculate the quotient of 28 divided by 7, we perform the division and get:
28 ÷ 7
= 28/7
= (7 x 4)/ 7
= 4
Next, we are asked to increase this quotient by 4. Adding 4 to the quotient:
= 4 + 4
= 8.
Therefore, the quotient after increased by 4 is 8.
Learn more about Division here:
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Please help and explain how you got the answer. Im giving out brainliest. || Q4
Answer: 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Inside the parentheses, we see 5+3, which equals 8. Now, do 8x4, which equals 32!
PICTURE BELOW....................
Answer: C
Step-by-step explanation: 45 divided by 18 is 2.5
What is incorrect About this proof? What needs to be done to correct it?why ?
Please help solve this
Answer: ∞
Step-by-step explanation: First, find the indefinite integral F (x), and then evaluate F (∞)–F(– ∞).
5(p + 10) = (Simplify your answer.)
Answer:
Here it is simplified
Step-by-step explanation:
What is this? Please answer with an explanation
Answer:
x=9,30............etc
Step-by-step explanation:
if value of x=9 then
the function
value of f(x)=4
if x=30 then value of function f(x)=27
A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?
Answer:
scalene
Step-by-step explanation:
no sides are the same
Which relation diagram represents a function?
Answer:
It is going to be the first one on the top left.
Step-by-step explanation:
the rule for something to be a function is every input must have exactly one output. now that does not mean that two different inputs cannot have the same output. but on a vertical line test every other one would be wrong.
A relation will be a function if for every single input there is only one output thus option (A) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given diagrams,
A relation will be a function if for every single input there is only one output.
In the second diagram for input = 5 the output is 2 and -3 so it will not a function. Similarly third and fourth will also not function.
In the first diagram for every single input there is only one output.
Hence "A relation will be a function if for every single input there is only one output".
For more about the function,
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I NEED HELP ASAP PLS
Answer:
Pretty sure it's D. y=2/1x
Answer:
y= 2/1 x
Step-by-step explanation:
Start from (-2,-4) rise up 4 and over 2 which means 4/2 simplify to 2/1
Luis is buying flour for his bakery, and he buys 8 sacks of flour for $25.75 each. He also has to pay $36.50 for delivery. How much is Luis paying in total for his flour order? (pls help this is a test)
Turn 20% and 0.35 into a fraction ( please I’ll mark you brainlest please hurry )
20% = 1/5
0.35 = 35/100 but simplified is 7/20
I hope this helps, and Happy Holidays! :)
If 14 gallon of paint covers 112 of a wall, then how many quarts of paint are needed for the entire wall?
Answer:
168 gallons
Step-by-step explanation:
Correct question;
If 14 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the entire wall?
If 14 gallon of paint covers 112 of a wall, this can be expressed as;
14 gallons = 1/12 of the wall
x gallons = entire wall (1 wall)
Cross multiply
1/12 * x = 14
x/12 = 14
Multiply both sides by 12
x/12 * 12 = 14*12
x = 168 gallons
Hence 168galons of paints are needed for the entire wall