The true statements are:
p(f|c) = 0.75p(c∩f) = 0.09 p(c|f) = p(f|c)What are the true statements?In sets notation, the symbol, ∩ means the intersection of two groups. Here, it represents the number of people who are football fans and fans of car racing. This number is 9%.
Here is the complete question:
A survey finds that 48% of people identify themselves as fans of professional football, 12% as fans of car racing, and 9% as fans of both professional football and car racing. Let event F be choosing a person who is a fan of professional football and let event C be choosing a person who is a fan of car racing.
Which statements are true? Select three options.
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Find the surface area of the cone in terms of pie
23 cm
14 cm
Answer:
550 sq. cm
Step-by-step explanation:
Attached above (answer):-
Can someone help me with this question?
Answer:
5 possible outcomes
1. All 4 are heads,
2. All 4 are tails,
3. 3 are heads and 1 tails,
4. 2 are heads and 2 are tails,
5. 1 is tails and three are heads.
Step-by-step explanation:
On one side of a coin it’s heads, and on the other it’s tails.
there are 4 coins
(Coin side, coin side, coin side, coin side)
Possibilities;
(Heads, heads, heads, heads)
all four coins are heads
(Heads, tails, heads, heads)
three coins are heads and one tails
(Heads, tails, tails, heads)
two coins are heads, two coins are tails
(Heads, tails, tails, tails)
one coin is heads, the other three are tails
(Tails, tails, tails, tails)
all four coins are tails.
5 possible outcomes
Find the values of x for which the function is continuous.
f(x) =
−3x + 7 if x < 0
x^2 + 7 if x ≥ 0
a.x ≠ 0
b.x ≥ 0
c.x ≥ root square 7
d.all real numbers
e.x ≠ 7
It looks like the given function is
[tex]f(x) = \begin{cases}-3x + 7 & \text{if }x < 0 \\ x^2+7 & \text{if }x \ge0\end{cases}[/tex]
The two pieces of f(x) are continuous since they are polynomials, so we only need to worry about the point at which they meet, x = 0. f(x) is continuous there if
[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0^+} f(x) = f(0) = 7[/tex]
To the left of x = 0, we have x < 0, so f(x) = -3x + 7 :
[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0} (-3x + 7) = 7[/tex]
To the right of x = 0, we have x > 0 and f(x) = x² + 7 :
[tex]\displaystyle \lim_{x\to0^+} f(x) = \lim_{x\to0} (x^2 + 7) = 7[/tex]
So f(x) is continuous at x = 0, and hence continuous for all real numbers.
Find the area of this circle. Use 3 for pi
Answer:
243 in²
Step-by-step explanation:
Diameter = 18 in
Radius ( r ) = Diameter / 2 = 18 / 2
r = 9 in
π = 3
To find : Area of circle ( A )
Formula : -
A = πr²
A = 3 x 9²
= 3 x 9 x 9
A = 243 in²
Suppose you have 18 more quarters than dimes. You have a total of $8.00. How many of each coin do you have? Use the substitution method to answer the question.
Answer:
18 quarters = $4.50
8.00-4.50=3.50
10 dimes+10 quarters=$3.50
Answer= you have 10 dimes and 28 quarters
Step-by-step explanation:
Answer:
You would have 18 quarters and 35 dimes
Step-by-step explanation:
Solve using substitution
Answer:
The answer should be "No Solution" as these lines never meet each other
Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out and put into her retirement account.
Answer:
Step-by-step explanation:
A reasonable estimate of the amount Donna is left with each week after the money is deducted: $980. 1404*.19=266.76 ; 1404*.12=168.48 ; 1404-266.76-168.48=968.76 or estimated as $980.
solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.
Answer:
6.8 miles
Step-by-step explanation:
a^2+b^2=c^2
if a area of a rectangle is 45...
set up an equation that must be true:
w = x
L = x-4
Answer: x times (x-4)=45
Step-by-step explanation:
First since the area is 45 that’s what the equation has to be equal to.
To find the area you always have to do length times width. So the width (x) times the length (x-4) equals 45.
17. Write interval notation for the given graph.
Answer:
D
Step-by-step explanation:
The interval notation for the graph :
-5 ≤ x ≤ 7[5, 7]1. Kedir bought 18 pieces of glasses out of a box of glasses. If these are 75% of the total, how many glasses did the box contain?
Answer:
24 pieces of glass
Step-by-step explanation:
20 points help please
2/11 as a decimal rounded to 3 places
Answer:
0.182
Step-by-step explanation:
2 / 11 = 0.181818...repeating
0.1818 round up since the 4th number 8 > 5
Answer:
0.182
Step-by-step explanation:
:)
Work out m and c for the line: 5 x − 3 y + 4 = 0
Step-by-step explanation:
5x - 3y + 4 = 0
we rearrange it to look like this:
y = mx + c
3y = -4 - 5x
we can also write it like this so it rhymes with the formula
3y = -5x - 4
y = -5x - 4 / 3 (the division sign is dividing all the numbers and not only 4 ).
Soo..
y = -5x/3 -4/3
y = mx. + c
so
m = -5/3
c = -4/3.
Hope this helps.
Good luck ✅.
[tex]\rule{200}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Work out m and c for the line 5x-3y+4=0.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We can't determine the slope (m) and the y-intercept (c) yet, so we need
to convert this equation into slope-intercept form [tex]\bold{y=mx+c}[/tex].
[tex]\dagger[/tex] First, subtract 5x and 4 on both sides:-
-3y=-5x-4[tex]\dagger[/tex] Next, divide by -3 on both sides:-
y=5/3x+4/3[tex]\bigstar[/tex] A negative divided by a negative is a positive.
[tex]\dagger\dagger[/tex] Now finding the slope is a piece of cake; it's just the number next to x:-
5/3 = slope (m)And the y-intercept is:-
4/3 = y-intercept (c)Good luck with your studies.[tex]\rule{300}{1}[/tex]
what is 4915 multiplied by 345
Answer:
1,695,675
Step-by-step explanation:
Me using the calculator <3
Match y = 3x – 1 with its graph
Kenzie is looking for a __ job. She would most likely be paid __
Answer:
Kenzie looking for a job that has benefits. She'd like to work in one place and not have to search for a new job anytime soon. Kenzie is looking for a Full-time job. She would most likely be paid an hourly wage, by the project.
Step-by-step explanation:
Which equation best represents the data? y = –1.026x2 1016.402x – 162075 y = –1.036x2 1024.771x – 163710 y = 298.214x – 66317.667 y = 196.2x – 18710
Based on the items produced, and the profit yielded from those items, the best model to represent the data is y = -1.026x² + 1,016.402x - 162,075.
Which model shows the profit and items produced best?You can find this out by testing the models using the items produced (independent or "x" value) to see if the model produces a close enough y value.
Assuming x is 100:
= -1.026x² + 1,016.402x - 162,075
= (-1.026 x 100²) + (1,016.402 x 100) - 162,075
= -$70,694.80
Assuming x is 400:
= -1.026x² + 1,016.402x - 162,075.
= (-1.026 x 400²) + (1,016.402 x 400) - 162,075.
= $80,325.80
These figures are very close to the actual y values given which makes this the best model.
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Answer: A. y = –1.026x2 + 1016.402x – 162075
Step-by-step explanation:
share $660 in the ratio of 2: 3: 5.
Answer:
132:198:330
Step-by-step explanation:
You can take the total amount of $660, then divide it by how many parts you have, which is ten. You then get $66, which you can then multiply by the amount for each part of the ratio (2, 3, 5)
Answer:
132$ ,198$, 330&
Step-by-step explanation:
2+3+5=10
2/10×660$
=132$
3/10×660$
=198$
5/10×660$
=330$
geometric mean of 25 and 35
Answer:
sooo i think, it is
Step-by-step explanation: it screen shot cause i worked it out on my computer !
In a certain Algebra 2 class of 26 students, 21 of them play basketball and 7 of them play baseball. There are 2 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
Step-by-step explanation:
[tex]\frac{21}{26}*\frac{7}{26}\\ =\frac{147}{676}[/tex]
The probability of students who plays both basketball and baseball is 2/13
What is Set Theory Formula?
The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.
Given data ,
Let the number of students who plays basketball and baseball = n ( A ∩ B )
Let the number of students who plays basketball be = n ( A )
The value of n ( A ) = 21
Let the number of students who plays baseball be = n ( B )
The value of n ( B ) = 7
Now , 2 students does not play any sports out of the 26 students
So , n ( A ∪ B ) = 26 - 2
n ( A ∪ B ) = 24
Now , from the set theory formula ,
n(A∪B) = n(A) + n(B) - n(A⋂B)
Substituting the values in the equation , we get
24 = 21 + 7 - n ( A ∩ B )
Adding n ( A ∩ B ) on both sides , we get
n ( A ∩ B ) + 24 = 28
Subtracting 24 on both sides , we get
n ( A ∩ B ) = 4
So . the number of students who plays both basketball and baseball = 4
And , the probability that the student chosen plays both basketball and baseball = number of students who plays both basketball and baseball / Total number of students
Probability that the student chosen plays both basketball and baseball
= 4 / 26
= 2 / 13
Hence , The probability of students who plays both basketball and baseball is 2/13
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10. Find the standard equation of the circle having the given center and radius.
In 2000 the population of country a reached 4 million, and in 2025-is projected to be 7.5 million.
(a) find values for po and a so that the following formula models the population of country a in year x.
f(x)=poa*-2000
(b) estimate the country's population in 2010 to the nearest hundredth of a million.
(c) use f to determine the year during which the country's population might reach 10 million.
(a) find values for po and a.
po= million
(round to the nearest hundredth as needed.)
a=
(round to five decimal places as needed.)
Answer:
the answer is 2000 so yea
What is the variance of the data set? round to the nearest hundredths. 0.40 0.72 1.15 2.14
The variance of the data set is 0.43.
What is the variance?The variance is used to measure the spread or the dispersion of a dataset using all the data points in the dataset. The variance is the sum of the squared difference between the data point and the mean.
The first step is to determine the mean: (0.40 + 0.72 + 1.15 + 2.14) / 4
= 4.41 / 4= 1.10
The second step is to subtract the mean from each of the data point and square the difference:
(0.40 - 1.10) ² = 0.49(0.72 - 1.10)² = 0.14(1.15 - 1.10)² = 0.0025(2.14 - 1.10)² = 1.08Add the sum of the squared differences and divide by 4 : 1.7125/4 = 0.43
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i need help pllllzzzzz help help
Answer:
a = 84/14
Step-by-step explanation:
The next step you would divide by 14 to get a=6 so I think the program wants you to input a = 84/14
Hi can someone help me with my math homework thankyouu
Answer:
Move the decimal point in 70.91 three places to the right
so that it becomes 70910.
#19. find the perimeter and the area of the figure
Answer:
Perimeter = 56 m
Area = __ m^2
Step-by-step explanation:
Perimeter = ___ m
Area = __ m^2
To find Perimeter, you have to add up all the sides of the shape,
5 + 5 + 5 + 11 + 7 + 7 + 16
= 56 m
Perimeter = 56 m
To find area, you have to multiply length times width,
5 × 5 = 25
7 × 16 = 112
112 + 25 = 137
Area = 137 m^2
Therefore the perimeter of this shape is 56 m and the area of this shape is 137m^2.
6) please help solve sin²3theta=1
Answer:
Step-by-step explanation:
A banker has a salary of £65000.
a) She is paid a bonus of £40000. What percentage of her salary is that?
b) She is given a pay rise of 16%. What is her new salary?
Answer:
I can only answer b but I hope it helps
B = £75,400
Explanation:
10% is £6500
6 % is £3900
=£10,400
+the original pay
=£75,400
That is her new salary
What is the volume of this aquarium?
Answer:
9000 in³
Step-by-step explanation:
Small cube:
Volume = length x width x height
= 10 x 10 x 10 = 1000 in³
Big cube:
width (front) = 20
length (side) = 10 + 10 = 20
height (back) = 10 + 10 = 20
V = 20 x 20 x 20 = 8000 in³
Total volume: 1000 + 8000 = 9000 in³