Answer:
7776
Step-by-step explanation:
Two people are playing the game rock, paper scissors. In each round both players show rock, paper, or scissors at the same time. What is the probability that both players show rock in the first round. Show your work.
The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).
In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.
To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.
Therefore, the probability that both players show rock in the first round can be calculated as follows:
P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9
So the probability that both players show rock in the first round is 1/9 or approximately 0.111.
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if you are asked to find the value of the 100th term of a sequence, would you use the explicit formula for that sequence or the recursive formula?
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
We know that,
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
a_n = a_1 + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
The major distinction between recursive and explicit formulas is that a recursive formula returns the value of a particular term depending on the preceding term, whereas an explicit formula returns the value of a given term based on its location.
When the value of the first term and the common difference is known then an explicit formula is used, while the recursive formula will be used when the value of the previous value is known and the value of the common difference is known.
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complete question:
what is the difference between the explicit formula and recursive formula for sequences when would you use one over the other
the ratio of the measures of the angles in cat is 2:7:9. find the measure of the smallest angle.
Answer:
20º
Step-by-step explanation:
Total parts
2 + 7 + 9 = 18
Value of each part given 180º in a triangle
180 / 18 = 10º
Smallest angle
2 * 10 = 20º
Answer:
20
Step-by-step explanation:
Multiply each angle by x
2x: 7x: 9x
The sum of the angles in a triangle is 180
2x+7x+9x = 180
Combine like terms
18x = 180
Divide by 18
18x/18 = 180/18
x =10
The smallest angle is 2x
2x = 2(10) =20
Can someone answer this? I’m confused on how to solve
If you spin the spinner 3 times
how many times are you likely to
land on blue?
Please help quick I need it
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
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Jose constructed Triangle DCE, where m∠D = 103° and m∠C = 22°. Remy constructed triangle PQT, where m∠Q = 22°, and m∠T = 55°. Are the two triangles similar to one another? *
Yes, because two pairs of corresponding angles in the triangles are congruent.
No, because none of the corresponding pairs of angles in the triangles are congruent.
No, because 103 + 22 ≠ 22 + 55.
There is not enough information to determine if the two triangles are similar to one another.
Answer:
The missing angle in Jose's triangle is 180 - 103 - 22 = 55° and since both triangles have two congruent pairs of corresponding angles the answer is yes.
Answer:
Yes
Step-by-step explanation:
They are similar by angle-angle similarly theorem
In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar . (Note that if two pairs of corresponding angles are congruent, then it can be shown that all three pairs of corresponding angles are congruent, by the Angle Sum Theorem.)
Jolly measured the cake. Then she calculated that it has a circumference of 15cm. what is the cake's diameter? Use 3.14 for pi.
Will mark brainlest.
Answer:
4.76cm
Step-by-step explanation:
Given data
circumference= 15cm
The expression for circumference is
C= 2πr
substitute and solve for r
15= 2*3.14*r
r= 15/ 2*3.14
r=15/ 6.28
r= 2.38 cm
Hence the diameter is
D= 2r
D= 2*2.38
D=4.76cm
SOMEONE PLEASE HELPPP
The values of the \(\bar x\) (x-bar) (the mean) and the median of the dataset in the question are;
\(\bar {x}\) ≈ 13.05
Median = 13.60
What is the mean and median of a dataset?The mean and the median are descriptive statistical values that provides a description of the data that can be found in the dataset.
The mean is the average value of the data in the dataset, and the median is the middle value of the set of data arranged in an order of increasing values.
The mean is the average value of the set of data which is obtained by dividing the sum of the data points by the number of the datapoints, we get;
The number of data points = 28
The sum of the data is; (4.7 + 12.6 + 3.6 + 16.1 + 2.3 + 28.2 + 2.2 + 16.9 + 10.7 + 19.5 + 11.4 + 27.9 + 11 + 15 + 4.2 + 15.8 + 15.9 + 17.3 + 24.9 + 10.8 + 16.4 + 7.3 + 3.2 + 14.6 + 2.6 + 8.4 + 21.2 + 20.8) = 365.5
The average is the mean is therefore; \(\bar x\) = 365.5 ÷ 28 ≈ 13.05
The median is the value of the number in the middle when the numbers are arranged in increasing order as follows;
2.2, 2.3, 2.6, 3.2, 3.6, 4.2, 4.7, 7.3, 8.4, 10.7, 10.8, 11, 11.4, 12.6, 14.6, 15, 15.8, 15.9, 16.1, 16.4, 16.9, 17.3, 19.5, 20.8, 21.2, 24.9, 27.9, 28.2
The numbers at the middle of the set of numbers are 14th and 15th numbers, which are 12.6 and 14.6, which indicates that the median is the average of the two numbers, which is therefore;
Median = (12.6 + 14.6)/2 = 13.60
The median is 13.60
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A foot is 12 inches. A yard is 3 feet. What fraction of a yard is 8 inches? Hint:, find how many inches are in a yard.
1 foot = 12 inches
1 yard = 3 feet.
What fraction of a yard are 8 inches?
Hint: find how many inches are in a yard.
1 yard = 3 feet = 12* 3 inches
1 yard = 36 inches
_____________
8 inches / 36 inches = 2/9
__________________________
Answer
8 inches are 2/9 of a yard
Do you know the muffin man?
The Barber family wants to go a distance of 440 miles in one day. They drive at an average rate of 55 miles per hour. How long will the trip take?
Answer: 8 hours
Step-by-step explanation: 440 divided by 55=8
Recently many airlines have had cancel flight in a single day republic airlines had to cancel 416 flights representing 15.1% of the airlines scheduled flights. How many flights were originally scheduled?
The number 2755 flights were scheduled.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Recently many airlines have had to cancel flights in a single day.
Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.
The number of flights scheduled,
= 416 x 100/ 15.1
= 41600/15.1
= 2754.96
≈ 2755
Therefore, 2755 flights were scheduled.
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An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a rate of 34 m per year at a time when the region is 450 m wide. How fast is the area changing at that point in time?
Answer:
The area is changing at the point of \(\mathbf{61200 m^2/year}\)
Step-by-step explanation:
From the given information:
Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w
where;
L = length and w = width of the rectangle
Suppose the Length L is twice the width w
Then L = 2w --- (1)
From The area of a rectangle
A = L × w
A = 2w × w
A = 2w²
Taking the above differentiating with respect to time
\(\dfrac{dA}{dt }= 4w \times \dfrac{dw}{dt} --- (2)\)
At the time t
\(\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m\)
Replacing the values back into equation 2, we get:
\(\dfrac{dA}{dt }= 4 \times 450 \times 34\)
\(\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}\)
What shape do you believe the data to have?
Answer:
approximently symetic
Step-by-step explanation:
9. Classify the equation, 7x + 10 = 7x + 10, as having one solution, no solution, or
infinitely many solutions.
Answer:
No solution
Step-by-step explanation
7x+10=7x+10
Step 1: Subtract 7x from both sides.
7x+10−7x=7x+10−7x
10=10
Step 2: Subtract 10 from both sides.
10−10=0
There are no solution.
Answer:
Step-by-step explanation:
no solution
PLEASE HELPPPPPP MEEEEEEE!
Answer:
124 students
Step-by-step explanation:
Girls participating in the exercise
4/15 x 285 = 76
Boys participating in the exercise
3/20 x 320 = 48
Total students participating
76 + 48 = 124
marco has $6 to spend. a sundae costs $3.25 plus $.65 per topping. How many toppings can her order? write an solve an inequality.
Answer:
Step-by-step explanation:
3.25+.65x=6
-3.25
2.75=.65x
divide by .65
4.23=x
so marco can get 4 toppings
I thnk this should be right
product is to multiplications as quotient is to
.The exterior angles of a triangle are 3P, 4p and 5p
(i) find the value of p
(ii) find the biggest interior angle of the triangle
.
Answer:
exterior angles add up to 369
12p=360
p=30
ii) 180-3p = 90
Abigail has 1 7/8 cups of powdered sugar. She sprinkles 1/2 of the sugar onto a plate of
brownies and sprinkles the rest onto a plate of lemon cookies. How much sugar does Abigail
sprinkle on the brownies?
A square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet. Write an expression that can be used to find the surface area, in square feet, of the square pyramid.
Please provide an expression, not just the surface area please :)
Check the picture below.
so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.
\(\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2\)
if y=1/4x and x=-12 find y
Answer:
y=-3
Step-by-step explanation:
b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine
The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.
The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.
The problem has provided the following information:
Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m
We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage
The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;
Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;
Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5
Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.
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An arcade manager wants to know how many of his 750 regular customers prefer to visit in the winter. Each of five staff members randomly surveys 25 regular customers. The table shows the results.
Preferred Season to Visit Arcade
Spring Summer Fall Winter
A 4 4 6 11
B 5 3 7 10
C 5 5 5 9
D 4 5 6 10
E 4 4 5 12
Question 1
a. Use each sample to make an estimate for the number of regular customers who prefer to visit in the winter.
Sample A B C D E
Estimate
Question 2
b. Describe the variation of the estimates.
Range:
customers
Answer:
brainly?
Step-by-step explanation:
hope this helps
I am lost on this question i found both but it keeps on telling me i am incorrect
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
I need an answer to this asap, hope you can understand.
The lengths of the segments x and y in the right triangles are x = 6√2 and y = 12√2
How to determine the lengths of x and yThe given shape is the right-angled triangle
Such that
We have angles = 30 degrees and 45 degrees
The measure of y can be calculated using the following sine ratio
sin(45) = y/24
Make y the subject
So, we have
y = 24 * sin(45)
When evaluated, we have
y = 12√2
The length x is calculated as
sin(30) = x/y
So, we have
x = y * sin(30)
This gives
x = 12√2 * 1/2
Evaluate
x = 6√2
Hence, the value of x in the triangle is 6√2
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A forest covers 59,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many
acres of old-growth trees are there?
There are acres of old-growth trees.
(Type an integer or a decimal.)
Enter your answer in the answer box.
Answer: 117
Step-by-step explanation: To figure this out, you would have to multiply 59,000 by 0.3% decimal form which is 0.003
Breakfast Bar’s scrambled egg recipe uses 8 eggs to feed 5 people. How many eggs are they going to need to serve 100 people on Saturday morning?
Explain the steps you would use to solve the problem.
Answer:
800 eggs
Step-by-step explanation:
You would first thing about the starting numbers, Then look at the number 100 and multiply by 8. This would give you 800. This means that you will need 800 eggs to serve 100 people.
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Answered by: Skylar
6/8/2020
9:59 AM (Eastern Time)
Answer:
the answer is 12.5 i know because i divided 100 by 8 and got 12.5 then multiply then got 100
Step-by-step explanation:
got it right just did the test
Solve for length of segment c.
11 cm
10 cm
8.8 cm
c = [?] cm
If two segments intersect inside
or outside a circle: ab = cd
Answer:
c = 8
Step-by-step explanation:
Using the Intersecting Chords Theorem, we can form the following equation and solve for c:
\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)