Answer:
you won't roll the same number 5 times
Tennis great Roger Federer made 63% of his first serves in a recent season. When Federer made his first serve, he won 78% of the points. When Federer missed his first serve and had to serve again, he won only 57% of the points. Suppose you randomly choose a point on which Federer served. You get distracted before seeing his first serve but look up in time to see Federer win the point. What's the probability that he missed his first serve?
Sounds like a Bayes Theorem problem.
Events:
F: Roger makes his first serve. We'll write ~F for "not F".
P(F) = .63
P(~F) = 1 - .63 = .37
W: Roger wins the point. We don't know P(W) but we are given
P(W | F) = .78
P(W | ~F) = .57
We're asked for
P(~F | W)
The basic conditional probability theorem is
P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)
P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)
We write
P(W) = P(W | F) P(F) + P(W | ~F) P(~F)
Substituting gives Bayes' Theorem:
P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) + P(W | ~F) P(~F) )
We know all the parts so we substitute,
P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294
Let's call that 30%
Answer: 30%
Answer:
0.3
Step-by-step explanation:
We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.
Find the exact valu
triangle.
variable that represents a side length in a right
when you are completing pythagorean theorum are you solving for the area?
Answer:
no
Step-by-step explanation: you are solving for the lengths of the different sides of the triangle
11-n÷3 for n=6 Please solve
Answer: 9
11-6 (over fraction) 3
11-2 = 9
Find the area of the shape?
Answer:
12 pi
Step-by-step explanation:
First find the area of full circle
A = pi r^2 where r is the radius
A = pi (4)^2
A = 16 pi
This is 3/4 of a circle so multiply the area by the fraction of a circle
3/4*16pi = 12 pi
Answer:
[tex]12\pi[/tex] or 37.70 (rounded)
Step-by-step explanation:
To work this out you would first need to work out the area of this circle. You can do this by multiplying pi by the radius of 4 squared, this gives you 50.27 or [tex]16\pi[/tex].
Then in order to work out the area of this part of the circle you would have to divide the area 50.27 or 16pi by 4, this gives you 4 pi or 12.57. This is because the angle of the missing part is 90 degrees or a right angle, and because 360 divided by 4 is 90 this meant that the question is asking to work out [tex]\frac{3}{4}[/tex]of a circle and so by dividing it by 4 we are working out the area of one quadrant.
Then the final step is to multiply 4 pi or 12.57 by 3, this gives you 12 [tex]\pi[/tex] and 37.70.
1) Multiply pi by 4 squared.
[tex]\pi*4^{2} =16\pi or 50.27[/tex]
2) Divide 50.27 by 4.
[tex]16\pi or 50.27 /4=4\pi or 12.57[/tex]
3) Multiply 12.57 by 3.
[tex]12.57*3=12\pi or 37.70[/tex]
Two and a half pounds of Super Nutty granola cost $12. How much does one pound cost?
Answer:
4.8 dollars for 1 pound super nutty
the problems are on this screenshot, please answer the questions
Answer:
Q1: 48ft
Q2: 14.6
Step-by-step explanation:
Question 1:
Since the two triangles are similar (Angle - Side - Angle):
30/x = 50/80
x= 30(80/50)
=48
Question 2:
sin(55deg) = 12/x
12/sin(55) = x
x=14.6 (3 s.f.)
someone help please
Answer:
C
Step-by-step explanation:
If you look at the graph, you notice there is no data to determine the slope, but there (0,b) represents the y-intercept. So my guess is, they give you a clue what the slope is already, but if you notice the y-intercept lowers the linear line a few notches because (0,18) is lower than the (0,30). That is what I would choose as the answer
The number 92 is increased to 93. What is the percentage by which the number was increased , to the nearest tenth of a percent ? I’ll give you brainlist
Answer:
1.1%
Step-by-step explanation:
Original number = 92
New number = 93
increase in the value of number = 93-92 = 1.
Percentage increase in number is given by
increase in the value / old value ) *100
= (Original number -New number)/ Original number)*100
= (93-92/92) *100 = (1/92 )* 100 = 1.0869 %
Percentage increase in number is 1.0869%
Percentage increase in number to nearest tenth is 1.1%
Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are the
newer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 are
state quarters. Based on this sample, how many of the quarters in the full bag were likely to
be eagle quarters?
300
100
400
200?
Answer:
400
Step-by-step explanation:
The 200 quarters in the full bag were likely to be eagle quarters.
What is the ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
Given that:-
Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are thenewer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 arestate quarters. Based on this sample, how many of the quarters in the full bag were likely tobe eagle quartersWe can conclude from the given data that the ratio of the Eagle and state quarters is 4:6 or 2:3 suppose the common factor is a so the value will be calculated as:-
E + S = 500
2a + 3a = 500
5a = 500
a = 100
E = 2a
E = 2 x 100 = 200
Therefore 200 quarters in the full bag were likely to be eagle quarters.
To know more about ratios follow
https://brainly.com/question/2328454
#SPJ2
What shapes are formed by cross sections parallel to the base of a square pyramid? A similar triangles B similar squares C triangles of the same size D squares of the same size
Answer: D
squares of the same size
Step-by-step explanation:
The shapes that are formed by cross sections parallel to the base of a square pyramid will always be square of the same size
Kobe’s birthday is in July and it is always hot. This year, he wants to have popsicles as a cool snack. If Kobe expects 90 people to be at the party, does it make more sense to buy 100 pack of popsicles or multiple 16-packs?
Answer:
100 pack
Step-by-step explanation:
Well first just calculate the cost. 16 * 6 = 96
1.75 * 6 = 10.5
100 popsicles is cheaper.
Please help me it’s really important to me
Oil prices are projected to increase by 50% by next March. A quart of oil currently costs $1.85. What is the projected cost of a gallon of oil next March? Round your answer to the nearest hundredth.
Answer:
$11.10 per gallon.
Step-by-step explanation:
There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40
If the gallon price of oil goes up 50% then our answer is: 7.40×[tex]\frac{3}{2}[/tex]=[tex]\frac{22.2}{2}[/tex]=11.1
The price of oil in March will be $11.10 per gallon.
Answer: 50% of 1.85= 11.10
Step-by-step explanation:
11.10 is the correct answer
The diagram shows AABC.
a. What is the height of AABC7 Show your work
Teri has a bag of colored marbles. Five marbles are red, four are green, ten are blue, and one is white. Marbles are randomly selected out of the bag.
What is the probability of selecting a red marble and then a white marble without replacement?
Answer:
1/76
Step-by-step explanation:
Five marbles are red,
four are green,
ten are blue, and
one is white.
Sample space S= 5+4+10+1= 20
Probability of selecting a red Mable
Pr(red) = 5/20= 1/4
Probability of selecting a white Mable without replacement after the first selection
Pr(white) = 1/19= 1/19
the probability of selecting a red marble and then a white marble without replacement?
= 1/4*1/19= 1/76
Can u guys help pls? This is due in 10 mins
Answer:
Question 7: 16n^8 Question 8: 6r^4 Question 4: (-1,-7) Question 6: 6y^7
Step-by-step explanation:
Do i need it?
3. The measure of each inscribed
angle is equal to( )times the
measure of the intercepted arc.
a. 1/2
b. 1
c. 2
Answer: A. 1/2
Step-by-step explanation:
Can y'all help my little sister i am workin right now so i can't answer but pleaseee.
Complete the equation of the line whose slope is 555 and yyy-intercept is (0,4)(0,4)left parenthesis, 0, comma, 4, right parenthesis.
Answer:
y = 5x + 4
Step-by-step explanation:
Equation of a line passing through a point (x', y') and having slope 'm' is represented by,
y - y' = m(x - x')
If the point through which the given line is passing is (0, 4) and slope of the line is '5'
Equation of the line will be
y - 4 = 5(x - 0)
y = 5x + 4
Therefore, equation of given line is y = 5x + 4
Answer:
y=4x-1
Step-by-step explanation:
This is right i promise, also add me on ig melanin_.leesha
Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph.
Favorite Ice Cream Flavors
How many more of Ursula’s classmates chose chocolate than chose vanilla?
Answer:
8
Step-by-step explanation:
Vanillas percentage is 26%
26% of 50 is 13
Chocolates percentage is 42%
42% of 50 is 21
21-13=8
Using proportions, it is found that 8 more of Ursula’s classmates chose chocolate than chose vanilla.
In total, there are 50 students.
42% choose chocolate, hence:[tex]0.42(50) = 21[/tex]
That is, 21 choose chocolate.
The sum is 100%, hence the percentage that choose vanilla is:
[tex]x + 14 + 18 + 42 = 100[/tex]
[tex]x = 100 - 74[/tex]
[tex]x = 26[/tex]
26%, out of 50, hence:
[tex]0.26(50) = 13[/tex]
13 choose vanilla.
21 - 13 = 8.
8 more of Ursula’s classmates chose chocolate than chose vanilla.
To learn more about proportions, you can check https://brainly.com/question/24372153
Melaine charges $4.50 per hour when she washes cars, plus $5.00 for supplies. Which function rule represents the amount y melaine cahrges to wash cars for x hours?
A y= 0.50x
B y= 4.50x + 5.00
C y= 5.00x + 4.50
D y= 9.50x
Answer:
B y= 4.50x + 5.00
Step-by-step explanation:
4.50 is the “mx” in y=mx+b also known as the Slope that moves.
the 5 is the ”b” which is the y-intercept. It is a constant and does not change.
how to make a percent into a decimal
Answer:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. The shortcut way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point 2 places to the left.
Step-by-step explanation:
5.25% = .0525
Kono Dio Da
Answer:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.
Step-by-step explanation:
A door sign has a length of 7 inches and an area of 25 square inches. Use the numbers and symbols shown to the right to choose an equation that can be used to find the unknown width (w). Choose all that apply. Then solve.
Answer:
The equation is [tex]25=7w[/tex]The width is 3.6 inches, approximately.Step-by-step explanation:
Givens
The length of the door sign is 7 inches.Its area is 25 square inches.We know that the area of a rectangle is
[tex]A= w \times l[/tex]
Where [tex]w[/tex] is width and [tex]l[/tex] is length.
We know by given that [tex]l= 7 \ in[/tex] and [tex]A= 25 \ in^{2}[/tex], replacing these values and solving for [tex]w[/tex], we have
[tex]25=7w[/tex] (this is the equation used to solve the problem).
[tex]w=\frac{25}{7} \approx 3.6 \ in[/tex]
Answer:
The equation is Area = length × width.
The width is approximately 3.57 inches.
Step-by-step explanation:
Door sign length, l = 7 inches
Area, A = 25 square inches
Width (w) is unknow.
Since the area is the product of the length and the width,
A = l×w
25 = 7×w
Dividing both sides by 7
w = 25/7
≈ 3.57 inches
Oline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary. Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
Answer:
The solution to the equation are [tex]5+\frac{\sqrt{42} }{2\\} \ and \ 5-\frac{\sqrt{42} }{2\\}\\[/tex]
Both of his values are positive real numbers
Step-by-step explanation:
The general formula of a quadratic equation is expressed as [tex]ax^{2}+bx+c = 0\ where;\\x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]
Given the expression 0 = x² – 5x – 4 which can be rewritten as shown below;
x² – 5x – 4 = 0
Comparing this to the general equation; a = 1, b = -5, c= -4
To get the solution to the quadratic equation, we will use the general formula above;
[tex]x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}\\x = -(-5)\±\frac{\sqrt{(-5)^{2}-4(1)(-4) } }{2(1)}\\\\x = 5\±\frac{\sqrt{25+16 } }{2}\\x =5\±\frac{\sqrt{41} }{2}\\x = 5+\frac{\sqrt{42} }{2}\ and \ 5-\sqrt{42} /2\\[/tex]
Both of his values are positive real numbers
Answer: D.–0.7
Step-by-step explanation: hope this helps :)
A triangle has a base length of (2x - 4) units and a height of (x + 5) units. Write and solve a quadratic equation to determine what value of x gives the triangle an area of 44 square units
Answer:
x = -9
x = 6 BUT IT DOES NOT WORK WHEN YOU PLUG IT BACK IN
Step-by-step explanation:
Triangle area = 1/2 bh
The area is given (44)
base = 2x-4
height = x+5
44 = 1/2 (2x-4) (x+5)
Distribute
44 = 1/2 (2x^2 + 10x - 4x - 20)
44 = 1/2 (2x^2 + 6x - 20)
Take out a 2
44 = 2 * 1/2 (x^2 + 3x - 10)
44 = x^2 + 3x - 10
Subtract 44
0 = x^2 + 3x - 54
Factor the way you like and you should get
(x + 9) (x - 6)
x = -9
x = 6
If you plug them in only the -9 works.
44 = 1/2 (-22) (-4)
Answer:
x=6
Step-by-step explanation:
[tex]\frac{1}{2} (2x-4)(x+5)=44\\(x-2)(x+5)=44[/tex]
[tex]x^{2} -2x+5x-10=44\\x^{2} +3x-54=0[/tex]
[tex]x^{2} +9x-6x-54=0\\x(x+9)-6(x+9)=0\\(x+9)(x-6)=0\\x=-9(rejected),6[/tex]
side is 2×6-4=8 units
height=x+5=6+5=11 units
x=-9 is rejected because it gives negative side and negative height.
HELP!!! BRAINLIEST GETS 20+ POINTS!!!!!
Write 0.42525252525252525... as a fraction in simplest form
Answer:
17/40
17 over 40
6. Erin wants to have more than $150 before she goes shopping for gifts for
the holidays. Each time she babysits, she earns $7.50 per hour. Write and
solve an inequality to find h, the number of hours Erin needs to babysit in
order to meet her goal.
Answer: Erin needs to babysit for 20 hours in order for her to meet her goal.
Step-by-step explanation:
7.50h < 150 divide each side of the equation by 7.50
h=20
The approximate volume in milliliters, m, for a volume of f fluid ounces is equal to 29.57 times the value of f. Which table represents this relationship?
A.
Liquid Volume
Fluid Ounces, f Milliliters, m
29.57 1
59.14 2
88.71 3
118.28 4
C.
Liquid Volume
Fluid Ounces, f Milliliters, m
0 29.57
1 59.14
2 88.71
3 118.28
B.
Liquid Volume
Fluid Ounces, f Milliliters, m
29.57 0
59.14 1
88.71 2
118.28 3
D.
Liquid Volume
Fluid Ounces, f Milliliters, m
1 29.57
2 59.14
3 88.71
4 118.28
Answer:
Step-by-step explanation:
B
Answer:
D
Step-by-step explanation:
I got a 100 on my exit ticket for that question
Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?
Answer:
Step-by-step explanation:
The formula for a perimeter of a rectangle = 2(L+B)
= 2L+2B
Where L and B are length and breadth respectively.
The question says ;
2cm = 2(L+B)
2cm = 2L+2B
Divide both sides by 2
1 = L+B
If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm
When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm
