Answer:
6sqrt(2) units
Step-by-step explanation:
Distance² = (-9 - -3)² + (8 - 2)²
Distance² = (-6)² + 6²
Distance² = 36 + 36
Distance² = 72
Distance = 6sqrt(2)
sqrt: square root
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.
A rectangular prism has a length of 19ft, a height of 19ft, and a width of 6ft. What is its volume, in cubic ft?
Answer:
[tex] \boxed{Volume \: of \: rectangular \: prism = 2166 \: {ft}^{3}} [/tex]
Explanation:
Volume of rectangular prism is same as volume of cuboid
Length = 19 ft
Width = 6 ft
Height = 19 ft
Volume of rectangular prism = Length × Width × Height
= 19 × 19 × 6
= 19² × 6
= 361 × 6
= 2166 ft³
I need this answer please tell me the answer
Answer:
less than
[tex]1 \frac{1}{2} [/tex]
I believe
A bag of marbpes contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marbpe. What is the probability of reaching into the bag and selecting a yellow marble
Answer:
1/6 or 1.6666666
Step-by-step explanation:
12 marbles, 2 yellow
12/2= 6
1/6
I am giving 25 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?
Answer:
[tex]\frac{7}{16}[/tex]
Since there are 16 pastries in total, and 7 of them are chocolate, this will become your probability.
So, since the total is 16, this will be the denominator, and the 7 will be the numerator.
So, it will be [tex]\frac{7}{16}[/tex]
a rectangle has an area of 24m². its length is 5m longer than the width.
write an expression for the rectangle's length
Answer:
2x+2(x+5)) = 24
Step-by-step explanation:
2x+ 2(x+5) = 24
x is represented by the shorter side. Multiply by 2 because of the 2 sides. For the longer side, since it is 5m longer than the shorter side, you have to write (x+5). Multiply by 2 because of the 2 sides. Finally, add them both together since it is the area and set it equal to 24.
the sum of three consecutive odd numbers is seventy-five. what is the smallest of the three numbers
Step-by-step explanation:
The three numbers are 23 25 and 27
23 + 25 + 27 = 75
The smallest number is 23
Avril wants to puts trim around the border of one of the walls in her room. The dimensions of the wall is 10 x 15 ft. Will she need to find the area or the perimeter of the wall to figure out how much trim she needs? How much trim does she need?
Answer:Perimeter, 50ft
Step-by-step explanation:since it is around the answer is 50 ft
What is the equation of a line that is parallel to (1/2)y + x = 4 that passes through the point (0,14)?
Answer:
i cant answer that i'm only in 8th
solve for x
11 to the x power is equal to 11 to the 4th power times 11 to the 5th power.
exponets.
Answer:
x = 9
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
Given
[tex]11^{x}[/tex] = [tex]11^{4}[/tex] × [tex]11^{5}[/tex] = [tex]11^{(4+5)}[/tex] = [tex]11^{9}[/tex]
Since the bases on both sides are common, then equate the exponents
x = 9
There is 25 coins in a bag, 5 of them are quarters. What is the probability of getting a quarter? Express as all four types of probability.
Answer:
Step-by-step explanation:
The ptobability of getting a quarter is 5/25 to the simpliest form is 1/5
The four probability is basic probability, compound event, independent and dependent event and the probability line.
I hope it'll help you much
Thank you for asking
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years
Step-by-step explanation:
i = prt
i = ($61,000)(.14)(2)
i = $17,080
$78,080
Answer:
$78080
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 61000 × 14/100 × 2
I = $17080
She have = 61000 + 17080 = $78080
what is s+53=g so g=68 so how old is sweet age add
Answer:
s = 15
Step-by-step explanation:
Using the given information to solve for s, the work would look something like this:
s + 53 =g, g=68
s + 53 = 68 (Subtract 53 from both sides to get s by itself)
53 - 53 = 0, 68 - 53 = 15
s = 15
Therefore, s is equal to 15
Hope this helps! Have a good rest of your day!
Answer:
15
Step-by-step explanation:
This is very simple, first we write the equation, s+53=g, and plug 68 into "g", so now we have s+53=68. Subtract both sides, s+53-53=68-53, and this equals 15 years of age
Maria está en el piso 6 y quiere ir al sótano 2. Cuantos pisos bajará?
Answer: 8
Step-by-step explanation:
Ella tiene que bajar los 6 pisos, mas 2.
6+2=8
what is f(x) = 2 ∗ 5−x
x=10 if you are looking for the x value
Step-by-step explanation:
what is the correlation coefficient for the data in the table -0.93,-0.27,0.27.0.93
The answer to this question is the letter D.
The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement.
How to find the correlation coefficient for the data table -0.93,-0.27, 0.27, 0.93?
This is because the correlation coefficient focuses on the linear relationship between two variables.
numbers between -1 and 1 should be one of the values related to the bill. As you can the letter D is the closest and most realistic answer.
Learn more about correlation on : https://brainly.com/question/16440751
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How can you find f(2) if f(x) = -3x2 – 7?
Answer:
-3(2) x 2 -7 = -6x2-7 =-19
Step-by-step explanation:
The value of f(2) for the given function f(x) = -3x² – 7 will be -19.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
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 function,
f(x) = -3x² – 7
Put x = 2
f(2) = -3(2)² - 7
f(2) = -2(4) - 7
f(2) = -8 - 7 = -15
Hence "The value of f(2) for the given function f(x) = -3x² – 7 will be -19".
For more about the function,
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Identify the measure of arc HD◠.
The figure shows a circle and three secants. Points P, K, L, H, D lie on the circle. Secants R L and K H intersect in the interior of the circle. The measure of formed angle is 92 degrees. Secants D R and L R intersect in the exterior of the circle at point R. The measure of angle D R L is 38 degrees. The measure of the intercepted arc that is closest to the angle is 18 degrees. Secant R L intersects the circle at some point. The measure of arc between this point and point K is 102 degrees. Point P lies on secant R D.
The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.
We have,
In the given figure, we have a circle with points P, K, L, H, and D on it. Secant RL and secant KH intersect inside the circle, forming an angle with a measure of 92 degrees.
Secant DR and secant LR intersect outside the circle at point R, forming an angle DRL with a measure of 38 degrees.
The intercepted arc closest to angle DRL has a measure of 18 degrees.
Since secant RL intersects the circle at some point, we can consider the arc between that point and point K.
The measure of this arc is given as 102 degrees.
Therefore,
The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.
Learn more about arc lengths here:
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s varies directly as t, and = 8 when = 16. Find the constant of variation and write a direct variation equation relating s and t. Then find t when = 16. (Write answers in decimal form.)
constant of variation:
direct variation equation:
when s=16, t=
Answer:
aS
Step-tep explanation:
can someone help me with this question
Answer:
A 50
B 10
C 12/5
D 5
E 21
F 100
The areas of the squares adjacent to two sides of a right triangle are 32 units^2 2 squared and 32 units^2 Find the length, xxx, of the third side of the triangle.
Answer:
8 units
Step-by-step explanation:
If the area of the squares are 32 units^2, we have that:
Area = Side * Side
Side^2 = 32
Side = sqrt(32) = 5.657 units
So as the squares are adjacent to two sides of the triangle, we have that the triangle has two sides of 5.657 units
As it is a right triangle, we can use the Pythagoras' theorem:
c^2 = a^2 + b^2
c^2 = 5.657^2 + 5.657^2
c^2 = 64
c = 8 units
Answer:
its 8
Step-by-step explanation:
Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 10 meters and 3 meters. The second rectangle has side lengths of 3 meters and 8 meters. What is the combined area? *
Answer:
54
Step-by-step explanation:
Since they don’t overlap, just find the area of each rectangle and add it together. for example, the first rectangle will be 30 because 3x10=30. the second rectangle will be 24 because 3x8=24. 30+24=54. hope this helped :)
set f(y)=x and solve for y
Answer:
f = 1
y = 0
Solved for y
Step-by-step explanation:
Step 1 :
Pulling out like terms/ factors.
Step 2 :
Theory - Roots of a product .
Step 3 solving a Single Variable Equation.
Answers:
f = 1
y = 0
Hope this helps.
A swimming pool is in the shape of a right rectangular prism. The base of the pool has an area of 216 square feet. When the pool is completely filled, it holds 1,944 cubic feet of water. What is the depth of the water when the pool is completely full?
Answer:
Just divide
1944/216=9
9 feet deep
Hope this helps
Step-by-step explanation:
Help me answer this question pls
I believe it's a scalene triangle.
We could mark that ME = d, where d= diamater.
For segment TE, we can tell it is different length then all of the other lines.
Now, would MT be equivalent to ME in length? No. I can tell that segment MT is a tiny bit shorter than ME.
Why? If we look at line TE, we can tell that it is not perfectly horizontal; it is slanted to the left. By logic, we can deduce that because the left slant brings T ever so closely to M, there is a shorter distance between M and T than M and E.
If none of the sides are the same length, the triangle is scalene.
If you are able, I'd really appreciate a rating, or if you have questions, I'd be happy to answer.
11(4t + 1) what is the answer
Answer:
44t + 11
Step-by-step explanation:
11(4t + 1)
Distribute 11 amongst the values inside the parenthesis
11(4t) + 11(1)
Multiply
44t + 11
Hope this helps :)
Answer:
[tex]44t + 11[/tex]
Step-by-step explanation:
[tex]11(4t + 1) \\ = 44t + 11[/tex]
The transformation from the function f(x) = 3X to the function f(x)= 3x+4 indicate
What happens to the parabola when a<1 compared to the parent function?
Answer: The parabola is wider than the parent function
Step-by-step explanation:
If "a" is a fraction less than one, then the parabola becomes wider.
See graph (attached)
A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a 6-pack of juice cans? Tell the steps you used to calculate your response. *
Answer:
It was a cylinder shape
volume of cylinder is
= \pi {r}^{2} h
Radius of the can
=6.6÷2
=3.3
Volume of 6 can
6(3.142 \times {3.3}^{2} \times 12.1) \\ = 6(3.142 \times 10.89 \times 12.1) \\ = 6(34.21638 \times 12.1) \\ = 6(414.018198) \\ = 2484.109188 \\ = 2484.11 \: (2d.p.)
Answer
2484.11
Step-by-step explanation:
what is m equal to.
4(m − 13) − 8 = 8
Answer:
m = 17
Step-by-step explanation:
[tex]4(m - 13) - 8 = 8 \\ 4(m - 13) = 8 + 8 \\ 4(m - 13) = 16 \\ (m - 13) = \frac{16}{4} \\ m - 13 = 4 \\ m = 4 + 13 \\ \huge \red { \boxed{m = 17}}[/tex]
