It was so easy xD
its x=1
y=12×1+7
y=-6×1+25
=19
to the Pythagorean Theorem
Rapids
For the following right triangle, find the side length x.
20
21
Answer:
x = 29
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 20^{2} + 21^{2}[/tex]
[tex]c^{2} = 400 + 441[/tex]
[tex]c^{2} = 841[/tex]
[tex]\sqrt{c^2} = \sqrt{841}[/tex]
[tex]c = 29[/tex]
As per the Pythagorean theorem, the value of 'x' for the given right angle triangle is 29.
What is the Pythagorean Theorem?"The Pythagorean theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC² = AB² + AC². Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse."
Given, the value of the three sides of the right angle triangle are 20, 21, and 'x'.
Here, x = the hypotenuse of the right angle triangle.
Therefore, using the Pythagorean theorem, we get:
x² = 20² + 21²
⇒ x² = 400 + 441
⇒ x² = 841
⇒ x = √(841)
⇒ x = 29 (ignoring the negative value of the square root)
Therefore, the value of 'x' is 29.
Learn more about the Pythagorean Theorem here: https://brainly.com/question/20545091
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Fischer and Spassky play a chess match in which the first player to win a game wins the match. After 10 successive draws, the match is declared drawn. Each game is won by Fischer with probability 0.4, is won by Spassky with probability 0.3, and is a draw with the probability 0.3 independent of previous games.
(a) What is the probability that Fischer wins the match?
(b) What is the PMF of the duration of the match?
Answer:
a)
the probability that Fischer wins the match is 0.5714
b)
p( D = d ) = { [tex]( 0.3 )^{d-1[/tex] [tex](0.7)[/tex], d = 1, 2, 3, ........
[tex]0[/tex] otherwise
Step-by-step explanation:
Given that;
probability that Fischer wins the match, p = 4
probability that Spassky wins the match, q = 0.3
Match drawn, 1 - p - q = 1 - 0.4 - 0.3 = 0.7
(a) What is the probability that Fischer wins the match?
P( Fischer wins) = p/( p+q)
we substitute
P( Fischer wins) = 0.4 / ( 0.4 + 0.3)
P( Fischer wins) = 0.4 / 0.7
P( Fischer wins) = 0.5714
Therefore, the probability that Fischer wins the match is 0.5714
b) What is the PMF of the duration of the match?
let D represent the duration of the match
since the duration D of the match is a geometric random variable with parameter p + q,
the PMF will be;
p( D = d ) = [tex]( 1 - p - q )^{d-1[/tex] ( p + q )
= [tex]( 1 - 0.4 - 0.3 )^{d-1[/tex] ( 0.4 + 0.3 )
p( D = d ) = [tex]( 0.3 )^{d-1[/tex] ( 0.7)
that is, p( D = d ) = { [tex]( 0.3 )^{d-1[/tex] [tex](0.7)[/tex], d = 1, 2, 3, ........
[tex]0[/tex] otherwise
there are 18 cups on the shelves in Mrs. Lee's kitchen. If she takes out 8 cups to serve tea, how many cups will be left?
Subtract the number of cups she takes from the total cups:
18 cups - 8 cups = 10 cups will be left
Help with this If you don’t know the answer please don’t answer
I think it could be $200 because if they're selling 6 pounds for 48 then each pound must be 8 so 25*8
a bag contains 4 red, 3 orange and 5 purple marbles. what is the probability of drawing 2 purple marbles in a row without replacement?
Step-by-step explanation: this one is for zack!!!!!!!!!
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 5/33
Explanation:
5/12 x 4/11 =5/33
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
I will mark you brainalist
Answer:
the answer is X=-7
,,,,,
Answer:
it would be x=7
Step-by-step explanation:
brainliest pls
Mrs. Bhatia's closet consists of two sections, each shaped like a rectangular prism. She plans to buy mothballs to keep the moths away. She needs one box for every 32 cubic feet of space. How many boxes should she buy?
Answer:
6.5 boxes
Step-by-step explanation:
Given
See attachment for closet
Required
Determine the number of boxes needed to fill the closet
First, we calculate the volume of the two section.
According to the attachment
The first section has the following dimension:
[tex]Width = 5ft[/tex]
[tex]Length = 4ft[/tex]
[tex]Height = 8ft[/tex]
The second has the following dimension:
[tex]Width = 3ft[/tex] ---- see the last label at the top
[tex]Length = 2ft[/tex] --- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft
[tex]Height = 8ft[/tex]
So: The volume of the closet is:
[tex]Volume = W_1 * L_1 * H_1 + W_2 * L_2 * H_2[/tex]
[tex]Volume = 5ft * 4ft * 8ft + 3ft * 2ft * 8ft[/tex]
[tex]Volume = 160ft^3 + 48ft^3[/tex]
[tex]Volume = 208ft^3[/tex]
The number of box needed is then calculated by dividing the volume of the closet (208ft^3) by the volume of each box (32ft^3)
[tex]Boxes = \frac{208ft^3}{32ft^3}[/tex]
[tex]Boxes= \frac{208}{32}[/tex]
[tex]Boxes = 6.5[/tex]
Select all the statements that describe a unit rate. You must select all of the correct ones to receive credit.
a
Pete sold 1 poster.
b
Michael drives 50 miles in 1 hour.
c
Karen paid $10 for each pizza.
d
Jared bought 4 shirts and 1 hat.
e
Elizabeth earned 5 points for every correct test question.
f
Kelly climbed 50 stairs.
The answer are b,c, and f
Suppose you start with a full tank of gas (14 gallons) in your truck. After driving 3 hours, you now have 6 gallons left.
If x is the number of hours you have been driving, then y is the number of gallons left in your tank.
At what rate is the gas left in the tank changing? State your answer as a reduced fraction.
Answer:2 gallons per hour
Step-by-step explanation:
divide 6 and 3
Write the number shown in standard notation.
6.6 x 105
OA) 6,600
O B) 660,000
O C) 66,000
OD) 6,600,000
Which statement best describes the function?
O A. The function is increasing when x < 0.
B. The function is decreasing when x > 0.
C. The function is never increasing.
D. The function is always increasing.
Answer:
D. The function is always ingcreasing
Remember to do the opposite operation of what you see in the equation.
4x=16
x=16/4=4 is the answer if u need any explanation please comment
hope it helps
Answer:
x=4
Step-by-step explanation:
4x = 16
Divide each side by 4:
x=4
please help me on this now.
Answer:
the frist one is 2 the second on is 3.5 and the third one is 3 and the last on is 2.9
HURRY ASAP PLEASE
Which of the following is the inverse
Let y = f(x)
Let cr = cube root for short
y = cr{3x} + 2
Switch x and y.
x = cr{3y} + 2
Solve for y.
x - 2 = cr{3y}
Raise both sides to the 3rd power.
(x - 2)^3 = [cr{3y}]^3
(x - 2)^3 = 3y
[(x - 2)^3]/3 = y
Replace y with the inverse function notation
f^(-1) x.
f^(-1) x = [(x - 2)^3]/3
Choice b is the answer.
I am very confused on this problem pls help
Answer:
Step-by-step explanation:
let X be free stickers
let y be number of T-shirts bought
TABLE
X Y (PUT THIS IN THE BLUE PLACE)
2 1
4 2
6 3
8 4
10 5 (don't have to put this in)
2/3 = 1/4k
pleaseeeeeee helppppp
Answer: check out the image hope this helps
Step-by-step explanation:
I’ll give points and brainalist for answer / explanation
Answer:
B. 48 cm²Step-by-step explanation:
The area between the concentric circles:
A = π(R² - r²)If we tale π ≈ 3, we know R = 5 cm, we see r = R - 2 = 5 - 2 = 3 cm, then
A = 3(5² - 3²) = 3(16) = 48 cm²Correct choice is B
A rectangle has a perimeter of 103.6 inches and a base of 39 inches. What is the height?
Answer:
12.8 IN.
Step-by-step explanation:
So, what exactly is perimeter?
Perimeter= 2L+ 2W
In this question we were given the length.ie.Base and the perimeter itself.
●Length is 39 In.
●Perimeter is 103.6 In.
●We don't know the width.
But, as per given the question, we know that;
1 length = 39 In.
2 lengths= 78 In.
Now that we know the total length we can find the total width.
See as follows,
103.6 - 78= 25.6
2 widths= 25.6
1 width= 25.6÷2
=12.8 In
Help me with this problem
Answer:
So if we are looking at the parallelogram that is in black compared to the blue then you can see it rotated counterclockwise. With this in mind, looking at the answer choices, the closest answer would be "rotated 90 degrees counterclockwise around the origin." This is because it got rotated 90 degrees and it went counterclockwise.
Answer - "rotated 90 degrees counterclockwise around the origin."
so your answer is rotate 90° counter clockwise around the origin.
Answer:
h=(-3,0)
h'(0,-3)
it is a relation of rotation to the negative half turn.
pls help! the function g is defined as follows for the domain given
g(x)=1-2x domain={-3,-1,2,4}
write the range of g using set notation then graph g
Answer:
somebvody come get her-
Step-by-step explanation:
:D
The Oliver company plans to market a new product. Based on its market studies, Oliver estimates that it can sell up to 5,000 units in 2005. The selling price will be $2 per unit. Variable costs are estimated to be 20% of total revenue. Fixed costs are estimated to be $5,600 for 2005. How many units should the company sell to break even?
a.
2,333 units
b.
5,600 units
c.
2,800 units
d.
3,500 units
e.
5,000 units
Vicki has a 50 inch roll of ribbon. She used 3 feet of
the ribbon to wrap a gift. How many inches of ribbon does she
have left?
Answer:
Step-by-step explanation:
50in-3ft(12in/ft)
50in-36in
14in
Write an expression that represents the area of only the red shaded region in terms of x
Answer:
1st find the area of bigger rectangle ie l×b
again find area of small rectangle ie l×b
now subtract area of small rectangle by bigger one you get the area of shaded part
PLEASE HELP I HAVE 5 MINUTES PLEASE :(
Answer:Looks hard for 8th grader
Step-by-step explanation:
Answer:
28.3
Step-by-step explanation:
Given,
Radius of the circle = 4.5 m
Therefore,
Circumference of the circle
[tex] = 2\pi r[/tex]
[tex] = 2 \times 3.14 \times 4.5[/tex]
= 28.26
Rounded to nearest tenth,
= 28.3 (Ans)
Richard has just been given an l0-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct, Since Richard has not attended a class recently, he doesn't know any of the answers, Assuming that Richard guesses on all 10 questions. Find the indicated probabilities.
A) What is the probability that he will answer all questions correctly?
B) What is the probability that he will answer all questions incorrectly?
C) What is the probability that he will answer at least one of the questions correctly?
Then use the fact that P(r1) = 1 P(r = 0).
D) What is the probability that Richard will answer at least half the questions correctly?
Answer:
a) 0.0000001024 probability that he will answer all questions correctly.
b) 0.1074 = 10.74% probability that he will answer all questions incorrectly
c) 0.8926 = 89.26% probability that he will answer at least one of the questions correctly.
d) 0.0328 = 3.28% probability that Richard will answer at least half the questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.
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.
Each question has five answers, of which only one is correct
This means that the probability of correctly answering a question guessing is [tex]p = \frac{1}{5} = 0.2[/tex]
10 questions.
This means that [tex]n = 10[/tex]
A) What is the probability that he will answer all questions correctly?
This is [tex]P(X = 10)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} = 0.0000001024[/tex]
0.0000001024 probability that he will answer all questions correctly.
B) What is the probability that he will answer all questions incorrectly?
None correctly, so [tex]P(X = 0)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]
0.1074 = 10.74% probability that he will answer all questions incorrectly
C) What is the probability that he will answer at least one of the questions correctly?
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
Since [tex]P(X = 0) = 0.1074[/tex], from item b.
[tex]P(X \geq 1) = 1 - 0.1074 = 0.8926[/tex]
0.8926 = 89.26% probability that he will answer at least one of the questions correctly.
D) What is the probability that Richard will answer at least half the questions correctly?
This is
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{10,5}.(0.2)^{5}.(0.8)^{5} = 0.0264[/tex]
[tex]P(X = 6) = C_{10,6}.(0.2)^{6}.(0.8)^{4} = 0.0055[/tex]
[tex]P(X = 7) = C_{10,7}.(0.2)^{7}.(0.8)^{3} = 0.0008[/tex]
[tex]P(X = 8) = C_{10,8}.(0.2)^{8}.(0.8)^{2} = 0.0001[/tex]
[tex]P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} \approx 0[/tex]
[tex]P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0[/tex]
So
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0264 + 0.0055 + 0.0008 + 0.0001 + 0 + 0 = 0.0328[/tex]
0.0328 = 3.28% probability that Richard will answer at least half the questions correctly
change 5 feet 10 inches to centimetres
Answer:
177.8
Step-by-step explanation:
There are 30.48 centimeters per foot so multiply 30.48 by 5. And there is 2.54 centimeters in a inch so multiply 2.54 by 10. And then add the totals together to get 177.8
7. What are the "coefficients" in this problem?
8 + 4ab - 5b
Answer:
4 and -5
Step-by-step explanation:
Answer:
4 and -5
Step-by-step explanation:
Coefficients are numbers that are multiplied by a variable.
The term 4ab has 4 as the coefficient and a and b as the variables.
The term -5b has -5 as the coefficient and b as the variable.
- Adrian's car gets about 12.5 kilometers per liter. He is planning a 1,600 kilometer trip.
a) About how many liters of gas should Adrian plan to buy? Round your answer to the nearest liter.
b) At an average price of $0.90 US per liter, how much should Adrian expect to spend for gas?
Answer:
[tex]\Large \boxed{\sf a)\ 128 \ liters \ \ \ b)\ \$ \ 115.20}[/tex]
Step-by-step explanation:
a) distance/unit rate = 1600/12.5 = 128
b) liters of gas × unit price = 128 × 0.90 = 115.2
Answer:
a) 128 liters
b) $ 115.2
Step-by-step explanation:
Part a)
12.5 km = 1 liter
1 km = 1/12.5 liters
Multiplying both sides by 1,600
1600 km = 1600 / 12.5 liters
1600 km = 128 liters
Part b)
1 liter = $ 0.90
128 liters = 128 * 0.90
128 liters = $ 115.2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Urgent help please !!!
Answer:
The answer is A. 3x + 3
Step-by-step explanation:
Umm yea its that
Which expression has twice the value of 2.22.2.2? 0 26 O 210 ys
Answer:
A. 2 to the sixth power.
Step-by-step explanation:
As you keep going higher with powers of 2, the more and more it just keeps doubling. 2 to the power of 6 is literally 2 to the power of 5 doubled.