Answer:
x = 10 and y is 10 times the square root of 2
Step-by-step explanation:
45 45 90 triangle
x x x times square root of 2
10 10 and 10 times square root of 2
Lucas found a punctured bouncy ball in his basement. He wants to know how much air
used to fill up the entire ball. The diameter of the ball is 6 in. Find the volume. Use 3.14
for pi.
Answer:
its the 113 inches cubed
Answer:
113.04 in3
Step-by-step explanation:
Write an algebraic expression that illustrates the additive identity.
Answer:
Step-by-step explanation:
I hope this helped
This season, the probability that the Yankees will win a game is 0.56 and the probability that the Yankees will score 5 or more runs in a game is 0.61. The probability that the Yankees lose and score fewer than 5 runs is 0.32. What is the probability that the Yankees will lose when they score fewer than 5 runs? Round your answer to the nearest thousandth.
The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
Lets suppose here that:
A = event that Yankees win a gameB = event that Yankees will score ≥ 5 in a gameSuppose A' and B' are their complementary events, then we have:
A' = event that Yankees will lose a gameB' = event that Yankees will score < 5 in gameThen, by the given data, we have:
[tex]P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32[/tex]
We've to find [tex]P(A' | B')[/tex]
Using chain rule, we have:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}[/tex]
Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821[/tex]
Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821
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Help plz need the answer asap
Answer:
The video is blocked but you can type your question on here1
Step-by-step explanation:
the tempature was 80.F and then fell 20.F
Answer:
60ºF
Step-by-step explanation:
80ºF - 20ºF = 60ºF
Answer:
not sure if this is the question but it would be 60 degrees Fahrenheit
х
f(x
Which exponential function is represented by the
values in the table?
-2
AW
-1
3
2
O 3
f(x) = 3(2)
O f(x) = 2(2)
O f(x) = 3(34)
O f(x) = 2(3)
0
3
1
6
1
2
2
12
Answer:
[tex]y = 3(2)^x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the exponential function
An exponential function is represented as:
[tex]y = ab^x[/tex]
From the table;
[tex](x,y)=(0,3)[/tex]
So:
[tex]y = ab^x[/tex]
[tex]3 = a * b^0[/tex]
[tex]3 = a * 1[/tex]
[tex]3 = a[/tex]
[tex]a = 3[/tex]
Also:
[tex](x,y) = (1,6)[/tex]
So:
[tex]y = ab^x[/tex]
[tex]6 = a * b^1[/tex]
[tex]6 = a * b[/tex]
Substitute [tex]a = 3[/tex]
[tex]6 = 3 * b[/tex]
Solve for b
[tex]b = 2[/tex]
So:
[tex]y = ab^x[/tex]
[tex]y = 3(2)^x[/tex]
The exponential function represented by the values is f(x) = 3(2)ˣ
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
From the table, at point (0, 3):
3 = ab°
a = 3
At point (2, 12):
12 = ab²
12 = 3b²
b² = 4
b = 2
f(x) = 3(2)ˣ
The exponential function represented by the values is f(x) = 3(2)ˣ
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State a and d for the arithmetic sequence below:
3,9, 15, 21...
a
d=
Answer:
6 if I am correct I hope this helps
At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot un 48 22 Cold 8 12 5 What is the probability that a customer ordered a small given that he or she ordered a cold drink? Rounded to the nearest percent, [? ]% Enter
Answer: 32%
Step-by-step explanation:
8/25
The probability that a customer ordered a small given that he or she ordered a cold drink is 32%
How to determine the probability?The probability is represented as:
P(Small | Cold)
This is calculated using:
P(Small | Cold) = n(Small and Cold)/n(Cold)
Using the data on the given table, we have:
P(Small | Cold) = 8/(8 + 12 + 5)
Evaluate
P(Small | Cold) = 0.32
Express as percentage
P(Small | Cold) = 32%
Hence, the probability that a customer ordered a small given that he or she ordered a cold drink is 32%
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Find the lengths of the missing side. Round your answer to the nearest tenth
Answer:
11.2 cm
Step-by-step explanation:
The missing side = the hypotenuse
Apply pythagorean theorem to find he hypotenuse which is given as:
c² = a² + b³
a = 10 cm
b = 5 cm
c = Hypotenuse (missing side)
(Hypotenuse)² = 10² + 5² = 125
Hypotenuse = √125
Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)
Someone please help I cant figure it out i need help
Answer:
136
Step-by-step explanation:
Surface area is area of everything added together.
Area of triangle is 4 * 6 over 2 = 12
Area of side rectangle is 5 * 7 = 35
Area of base rectangle is 6 * 7 = 42
42 + 35 + 35 + 12 + 12
Final Answer: 136 sq m
My friend asked me what the answer is as a Joke but I really don't know the answer someone please help. I don't want to look bad
Answer:
d I believe
Step-by-step explanation:
so they take away certain blocks and they never replaced the 2 lines
Answer:
I think it's C, it looks really tricky.
Step-by-step explanation:
HELP !!!! when will someone -
Answer:
Step-by-step explanation:
a) (3,5)
b) 3 units
c) 10 units
Hope that helps!
When the input is -5 the output is ___?
Answer:
30
Step-by-step explanation:
f(-5) = -7(-5) - 5
= 35 - 5 = 30
i need help with this
Answer:
20
Step-by-step explanation:
Hello There!
So first we need to determine what the formula for area of a trapezoid is
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
the given information is the area and the two bases
so we plug in the given information and solve for h
[tex]180=\frac{4+14}{2} h\\4+14=18\\\frac{18}{2} =9\\180=9h[/tex]
divide each side by 9
[tex]\frac{180}{9} =20\\\frac{9h}{9} =h[/tex]
we're left with
h=20
so we can conclude that the height is 20
In the interval 0º < x < 360°, find the values of x for which tan x= -0.6745
Give your answers to the nearest degree.
Step-by-step explanation:
Given interval
0º < x < 360°
tan X = - 0.6745
tan X = tan 146 ° , tan 326
Either
tan X = tan 146
x = 146°
Or
tan X = tan 326°
x = 326°
Therefore the answers are
x = 146° and 326°
Hope it will help :)❤
Please help me on this
Find the volume of the cylinder . Round your answer to the nearest tenth . 9 ft 6 ft
Answer:
What's the Height and Radius?
Step-by-step explanation:
Answer:
V≈1526.81 = 1526.8
Step-by-step explanation:
4. Identify the height of the following triangle?
A.9
B. 5
C. 4
D. 12
Answer:
if u look closely at the doted line it shows the height and the number on the inside right beside it is the height witch the answer would be C
Angle A and Angle B are vertical angles. If Angle A measures 45 degrees,
what does Angle B measure.

Answer:
135
Step-by-step explanation:
135+45=180
SOMEONE HELP ME PLEASE!!!!?
Answer:
139
Step-by-step explanation:
supplementary angles add up to equal 180
so to find the measure of angle ABC we subtract the given angle from 180
180-41=139
so we can conclude that angle ABC= 139
Step-by-step explanation:
< ABC and < CBD are supplementary angles.
< CBD = 41°
< ABC + < CBD = 180° ( Being supplementary angles)
< ABC + 41° = 180°
< ABC = 180° - 41°
< ABC = 139°
Hope it will help :)❤
True or False, Drawing a Jack from a deck of cards, not replacing it, and then drawing a king are examples of dependent events
Answer: The probability of drawing a king from the deck has been changed when a Jack is drawn and not replaced back. So the two events are dependent. The answer to this question is TRUE
Step-by-step explanation:
Two events are dependent if the occurrence of one event affects the probability of occurrence of the other event.
Total number of cards in a deck are 52. There are 4 jacks and 4 kings.
If we simply pick up a king from the deck, the probability of picking a king would be
However, when a Jack is drawn from the deck of cards and not replaced back, the number of total cards reduces by 1. So now the total number of cards in the deck is 51 with 4 kings. In this case the probability of drawing a king is 4/51
Jackson has twelve crayons. Emma has twice as many as Jackson, and Lily has twice as many as Emma. How many total crayons?
Step-by-step explanation:
there are 48 total crayons
A rectangular prism has a volume of 80 m3. What is the length of the rectangular
base if it has a height of 10 m and width of 2 m?
Hey there!
The answer is 4 meters, or 4 m.
The formula for volume is lwh, or Length * Width * Height, so we can set up an equation plugging in the values we know:
lwh = V
l(2)(10) = 80
Simplify:
20l = 80
Divide both sides by 20:
l = 4
Have a terrificly amazing day! :)
WILL MARK BRAINLIEST - One factor of the function f(x)=x^3-8x^2+17x-10 is (x-5). Describe how to find the x-intercepts and y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.
Answer: x-intercepts (5,0), (2,0), (1,0)
y-intercept (0,-10)
Step-by-step explanation: If one factor of the polynomial function is (x-5), then the function f(x) can be factored in the following way: (x-5) (x^2-3x+2)
Now factor the trinomial: (x-2) (x-1)
Thus, x-intercepts (points where f(x)=0) are
x1=5
x2=2
x3=1
and y-intercept (point where x=0) is
f(0)=0^3-8.0^2+17.0-10=-10.
plz mark me brainliest
A function assigns the values. The y-intercept of the function is -10, while the x-intercept of the function is 5, 2, and 1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
To find an intercept of the function, we need to substitute the value of x or y depending on the intercept as 0 in the function. Therefore, the x-intercept of the function is,
y = (0)³ - 8(0)² + 17(0) - 10
y = -10
Since given that one factor of the function f(x)=x³-8x²+17x-10 is (x-5). Therefore, if the function f(x) is divided by (x-5). The quotient will be x²-3x+2.
Now, Factorising the given expression x²-3x+2.
x²-3x+2
= x² - 2x - x + 2
= x(x-2) -1(x-2)
= (x-2)(x-1)
Now, we can write the function f(x)=x³-8x²+17x-10 as y=(x-5)(x-2)(x-1). Therefore, the x-intercept of the function is,
x-intercept = 5, 2, 1
This can be verified from the graph formed below.
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Suppose you are asked to pick 3 numbers from 1 to 20 to win a prize. What is the probability that one of the numbers you will pick is the winning number?
A) 20%
B) 15%
C) 5%
D) 10%
5%
what % times 20% is 100%
5%
I need help with this problem asap :(
Answer:
m<P=130°
m<Q=130°
m<R=50°
Step-by-step explanation:
m<P=130
m<Q=130
m<R=50
Identify the correct form of the following geometric sequence.
5 , 35 , 245 , 1,715 , ...
The correct form of the geometric sequence is:[tex]5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...[/tex]
how to Identify the correct form of the geometric sequence.To identify the correct form of the geometric sequence 5, 35, 245, 1,715, ..., we can look for a common ratio between consecutive terms.
To find the common ratio, we divide any term by its preceding term. Let's take the second and first terms:
35 / 5 = 7
Now, let's check the third and second terms:
245 / 35 = 7
Similarly, for the fourth and third terms:
1,715 / 245 = 7
Since we obtained the same result (7) for all ratios, we can conclude that the common ratio of this geometric sequence is 7.
Now, let's express the general form of the sequence using the first term (a) and the common ratio (r):
a, ar, [tex]ar^2,[/tex] [tex]ar^3,[/tex] ...
Substituting the given values:
a = 5 (the first term)
r = 7 (the common ratio)
The correct form of the geometric sequence is:
[tex]5, 5 * 7, 5 * 7^2, 5 * 7^3[/tex], ...
Simplifying the terms, we get:
5, 35, 245, 1,715, ...
Therefore, the correct form of the geometric sequence is:
5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...
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Mrs.Ziegler will use 1/5 of the 4gallons of milk she has to make chocolate pudding. How much milk will Mrs.Zirkle use to make chocolate pudding?
find the difference between 8n and (3n_6)
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and
the probability of obtaining a success. Round your answer to four decimal places
PCX > 4), n-8.p -0.7
Answer:
P(X > 4) = 0.8059
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this question, we have that:
[tex]n = 8, p = 0.7[/tex]
We want:
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{8,5}.(0.7)^{5}.(0.3)^{3} = 0.2541[/tex]
[tex]P(X = 6) = C_{8,6}.(0.7)^{6}.(0.3)^{2} = 0.2965[/tex]
[tex]P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977[/tex]
[tex]P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576[/tex]
Then
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2541 + 0.2965 + 0.1977 + 0.0576 = 0.8059[/tex]
So
P(X > 4) = 0.8059