Answer:
107.5Step-by-step explanation:AOPED
A quadrilateral has vertices A(4, 5), B(7, 7), C(6, 8), and D(4, 7). The image of the quadrilateral has vertices A"(–6, 0), B"(–9, –2), C"(–8, –3), and D"(–6, –2).
Which transformations may have taken place?
A. T (-2, 5) r y=x
B. T(-2,5) R 0,180
C. r y=x T(–2, 5)
D. R 0,180 T(-2,5)
Answer:
D
Step-by-step explanation:
For a recent evening at a small, old-fashioned movie theater, 35% of the moviegoers were female and 65% were male. There were two movies playing that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy was more popular than the war film: 70% of the females attended the romantic comedy. Among the male moviegoers, the romantic comedy also was more popular: 60% of the males attended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and ¯F denote the event that a randomly chosen moviegoer was male. Let R denote the event that a randomly chosen moviegoer attended the romantic comedy and ¯R denote the event that a randomly chosen moviegoer attended the war film. Fill in the probabilities below, and then answer the question that follows. Do not round any of your responses
P(F)=0.35
P(F and R)=
P(F and ¯R)=
P(¯R|F)=
P(R|¯F)=0.60
P(¯F and R)=
P(¯F and ¯R)=
P(¯F)=
What is the probability that a randomly chosen moviegoer attended the romantic comedy?
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
Find the recipricol of -b/3
Answer:
-0.333333333
Step-by-step explanation:
Solve the equation.
W+3/3 = - 4
Answer:
W=−5
r=3
hope this helps!!
this app is bad its s lie
The equation of the line that has a slope of 3 and passes through the point (2, 1) is y = 3x - 5.
True
ОО
False
Answer:
True
Step-by-step explanation:
y = 3x - 5 does have slope 3.
Let's test point (2, 1).
y = 3x - 5
1 = 3(2) - 5
1 = 6 - 5
1 = 1
Point (2, 1) does work in the equation.
Answer: True
Is this graph continuous or discontinuous?
A hiker starts hiking at the beginning of a trail at a point which is 20 feet below sea level. He hikes to a location on the trail that is 58 feet above sea level
and stops for lunch
What is the vertical distance between 200 feet below sea level and 580 feet above sea level?
Answer:
780 feet below sea level
Step-by-step explanation:
NEED HELP ASAP!!!!Instructions: Using the following image, solve for the trigonometry ratios of
Answer:
17
8/17
Step-by-step explanation:
x=[tex]\sqrt{8^{2} +15^{2} } =17[/tex]
sin∠D = [tex]\frac{8}{17}[/tex]
Carrie has 18 pens. Carrie has 2 more than 4
times the number of pens that Patricia has.
Exactly how many pens does Patricia have?
Answer: ( sorry I misread the problem)
I'm not sure what I'm supposed to be multiplying with
but I'll try my best
subtract 2 with 18 and divide 4 with the remaining
18 -2 = 16
then it is 16/4= 4
Pat has a total of 4pens
Which ordered pairs make both inequalities true? Select two options.
y One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)
A. (0, 2)
B. (1, 2)
C. (2, –1)
D. (2, 2)
Answer:
d
Step-by-step explanation:
i took the test
Answer:
I just did this test, its 1,2 and 2,2
Step-by-step explanation:
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week
Step-by-step explanation:
Given that,
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time he swims. This week, he spent more than 6 hours training for the race.
Let x represent no. of times Dominick runs per week and y represents no. of times that Dominick swims per week.
ATQ,
0.75x + 1.5y > 6
The graph represent the scanario for the given data.
Answer:
picture A
Step-by-step explanation:
I know because I just took a quiz and i got it right
Determine whether the relationship is a function. Complete the explanation.
(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)
Answer:
the relationship is not a function
Step-by-step explanation:
it's not a function because two of the domains are the same.
The relationship represented by these ordered pairs is not a function.
We have,
To determine whether the relationship is a function, we need to check if each input (x-value) is associated with exactly one output (y-value).
If there is any x-value that is associated with multiple y-values, then the relationship is not a function.
Let's analyze the given set of ordered pairs:
(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)
Here, we can see that the x-value 8 is associated with both y-values 8 and 7.
Therefore, the relationship is not a function because one input (x-value) is mapped to multiple outputs (y-values).
In a function, each input must have a unique output, but in this case, the x-value 8 is associated with both 8 and 7 as the corresponding y-values.
Thus,
The relationship represented by these ordered pairs is not a function.
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You want to buy 4 pencils, each costing 88 cents. How many dollar bills should you take to the store?
Answer:
4
Step-by-step explanation:
Answer:
$4
Step-by-step explanation:
0.88x4 = 3.52
so take 4
a farmer grows 128 red tomato plants and 102 yellow tomato plants each plant produces about 32 tomatoes the farmer plans to sell each tomato for$2
Answer:
14720$ he will make and there are 7360 tomatoes
Step-by-step explanation:
Which graph has x-intercept (-5,0) and y-intercept (0,-2)?
The top one is x-intercept, and the bottem one is y-intercept. Also the gray boxes are your answer
The graph of the x-intercept at x = -5 and y-intercept at y = -2 is given below.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
x-intercept = (-5, 0)
This means,
It is a vertical line at x = -5.
y-intercept = (0, -2)
This means,
It is a horizontal line at y = -2.
Thus,
The graph is given below.
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Alfie is cooking a 0.6kg jaunt of steak for dinner. calculate the total time he needs to cook for it
Answer: This is a tough question
Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D
Step-by-step explanation:
A local hamburger shop sold combined total 500 hamburgers and cheeseburgers the number of cheeseburgers old was three times the number of hamburger sold how many hamburgers were sold?
Answer:
125 hamburgers
Step-by-step explanation:
Let x be the number of hamburgers sold and 3x the number of cheeseburgers sold.
So:
x+3x=500
4x=500
x=125
So there are 125 hamburgers sold.
Which equation has a slope of 2 and y-intercept of -3
y = 2x -3
fhfjdydtsfxbnpurwsgh
Which table represents a function with a slope of 1/2 and a y-intercept of 4
Answer:D
Step-by-step explanation: trust me ima sophomore use this for help y=1/2x+4 then x value change it to the number in the x section then if the y appears just like in the box the y section it’s correct
pls help asap i will give brainliest 16 POINTS!!!!
Quamain is selling chocolate bars for a fundraiser. In his box, he had 12 milk chocolate bars, 8 caramel bars, 9 almond chocolate bars, and 6 dark chocolate bars. What is the ratio of milk chocolate to almond chocolate bars in his box?
4:3
Answer: 12:9
Step-by-step explanation:
He had 12 milk chocolate bars and 9 almond chocolate bars so the answer is 12:9
And it is also 12:9 is because they ask milk chocolate TO almond chocolate .
A net of a storage trunk is shown. Which is the trunk's surface area?
What is the reciprocal of 1/5?
5/1
4
1/5
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
Which statement is true?
Select each correct answer.
The maximum height of the water balloon occurs at x = 0.
The water balloon is in the air for 2 s.
The water balloon hits the ground in 64 s.
The water balloon rises above 64 ft before falling toward the ground.
The maximum height of the water balloon is 64 ft.
Answer:
O The maximum height of the water balloon occurs at x = 0.
O The water balloon is in the air for 2 s.
O The maximum height of the water balloon is 64 ft.
Step-by-step explanation:
Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.
The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.
Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.
The correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
The water balloon follows a path such that it makes half parabola.
From the graph:
At x = 0
Height(h) = 64 feet
Which is the maximum height of the water balloon.
After t = 2 seconds
The water balloon hits the ground
The correct options are:
The maximum height of the water balloon occurs at x = 0. The water balloon is in the air for 2 s. The maximum height of the water balloon is 64 ft.Thus, the correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.
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Which expression uses commutative property to make it easier to evaluate
2/3 * 1/4 * 27
Answer:
2/3 x 27 x 1/4
Step-by-step explanation:
A-P-E-X
pls help!!!!!!!!!!!!!!
Answer:
C) √221 units
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-7, 7)
Point (7, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]d = \sqrt{(7+7)^2+(2-7)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(14)^2+(-5)^2}[/tex]Exponents: [tex]d = \sqrt{196+25}[/tex]Add: [tex]d = \sqrt{221}[/tex]one and two-thirds divided by 3
Answer:
5/9
Step-by-step explanation:
What is 63 divided by 36?
Answer:
1.75
Step-by-step explanation:
used a calculator
Answer:
63÷36=1.75
Step-by-step explanation:
itz easy
mark me as a brainlist
Which choices are solutions to the following equation?
Check all that apply.
X2-7x = -24/4
A. X=1
B. X=2
C. X=12
D. X=6