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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Ethan is helping his dad build a bench and need 6 length of wood that each measure is 1.4 m how many total meters of wood does he need to purchase
Answer:
8.4 meters of wood
Step-by-step explanation:
Find how many meters of wood he has to purchase by multiplying 6 by 1.4:
6(1.4)
= 8.4
So, Ethan will need 8.4 meters of wood
The difference between the circumference and the diameter of a circle is 90cm. Find the radius
Answer:
Step-by-step explanation:
Circumference is 2πr - 2r = 90cm
2r(π-1)=90
divide both sides by (π-1)
2r = 90/(π-1)
2r = 42.024...
r = 21.012399 cm
I NEED HELP WITH STATISTICS
A. The null hypothesis H₀ and the alternative hypothesis H₁ are:
H₀: μ = 35 minutes H₁: μ > 35 minutes
B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.
C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.
What is a Type II error?A Type II error occurs when the null hypothesis is false, but the test does not reject it.
In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.
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Can someone answer these 3? I’ll reward double points + brainalist
A cone and a cylinder have the same height and radius. The cone has a volume of 23 cubic inches. What is the volume of the cylinder?
Thank you!!!
The volume of the cylinder is 69 cubic inches.
What is the volume of cone ?
The volume of a cone can be calculated using the formula:
\(V = (1/3)\pi r^2h\)
where "r" is the radius of the base of the cone, "h" is the height of the cone, and π is the mathematical constant pi (approximately equal to 3.14159).
According to the question:
Let's assume that the height and radius of both the cone and the cylinder are equal, and let's denote this common value by "h" and "r", respectively.
The formula for the volume of a cone is given by\(V = (1/3)\pi r^2h\), where r is the radius, h is the height, and π is pi.
We are given that the volume of the cone is 23 cubic inches. Therefore, we can write:
\((1/3)\pi r^2h = 23\)
Since the height and radius of the cone and cylinder are equal, we can write the volume of the cylinder as \(V = \pi r^2h\). Therefore, we need to find the value of \(r^{2h}\) that satisfies the above equation and use it to compute the volume of the cylinder.
We can rearrange the equation for the volume of the cone as follows:
\(r^2h = 3 * 23 / \pi\)
\(r^2h = 69 / \pi\)
Now we can substitute this expression for\(r^2h\) in the formula for the volume of the cylinder:
\(V = \pi r^2h = \pi (69/\pi )\)= 69 cubic inches
Therefore, the volume of the cylinder is 69 cubic inches.
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What is the range of y = –x2+2x+8?
Answer: All real numbers greater than or less than 9.
Step-by-step explanation: The range is possible y-values. In a parabola the range starts at a particular place then it either goes up or goes down. Since the leading factor has a negative in front of it, the parabola will open downward meaning most likely all y-values will be lest than the include max point. Now let find the max point using the formula -b/2a then substituting that into the parabola. -2/2(-1)= 1, then plug it in. y=-(1^2)+2(1)+8 which equal -1+2+8 which equal 9 so the max point is 9. Since the graph open downward all the points that are possible will either be at 9 or below it so the range is All real numbers greater than or less than 9. or (-∞,∞)∪(∞,9]
A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4}
{5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18}
{5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13}
{3, 5, 10, 11, 13, 7, 18, 14, 4}
The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)
The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.
The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.
Therefore, the data set that is represented in the histogram is:
{3, 7, 4}
None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)
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Estimate then find the quotient 2,800÷25
Answer:
112
Step-by-step explanation:
Which number is prime?
58
74
84
41
Simplify 310x + 16y + 310x + 56y ( i need help)
Answer:
\(620x+72y\)
Step-by-step explanation:
\(310x+16y+310x+56y \\ \\ =310x+310x+16y+56y \\ \\ =620x+72y\)
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
2/11 into lowest terms
If you mean lowest terms as in fully simplified, then your fraction "2/11" is already in lowest terms.
Lowest terms mean that your numerator and denominator have no common factors apart from 1.
2 and 11 don't have any common factors, therefore 2/11 is in lowest terms already.
A pharmaceutical sales rep receives an 3.5% commission for selling
medication to physicians. If he sells $22,500 of medication, then how
much commission will he earn? *
Answer:
$787.50
Step-by-step explanation:
He will earn 22500*3.5/100 dollars. Simplifying will get 225*3.5, which is 787.5. So, he will get $787.50
It takes 27N of work to push a crate up a ramp to a dock. The ramp is 3 meters long. How much force is necessary?
PLEASE HELP
Answer:
Solution:
Given,
Work = 27 N
Displacement = 3 m
According to question,
Force = ?
As we know,
Work = Force × Displacement
or, 27 = Force × 3
or, Force = 27/3
i.e, Force = 9 N
Miles earns a 6 percent commission on each vehicle he sells today he sold a truck for 18500.00 and a car for 9600.00 what is the total amount of his commission for these vehicles
Answer:
$1686
Step-by-step explanation:
6% = 0.06
truck commission: 0.06 * 18500 = 1110
car commission: 0.06 * 9600 = 576
total commission: 576 + 1110
$1686
A new cylindrical can with a diameter of 4cm is being designed by a local company. The surface area of the can is 140 square centimeters. What is the height of the can? Estimate using 3.14 for pi and round to the nearest hundredth. Apply the formula for the surface area of a cylinder SA=2B+Ph
The height of the can of cylinder shape is 9.14 cm.
What is a cylinder?
In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.
We are given the diameter as 4 cm.
So, the radius is 2cm.
Also, it is given that the surface area of the can is 140 square centimeters.
So, using the surface area of cylinder, we get
⇒Area = 2πr (h + r)
⇒140 = 2π * 2 (h + 2)
⇒140 = 4π (h + 2)
⇒140 = 4 * 3.14 * (h + 2)
⇒140 = 12.56 * (h + 2)
⇒11.14 = h + 2
⇒h = 9.14
Hence, the height of the can of cylinder shape is 9.14 cm.
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For f(x)=5x+1. Find f(-4)
Answer:
-19
Step-by-step explanation:
f(x)=5x+1
F(-4) - substitute -4 as the x
F(-4)=5(-4)+1
F(-4) = -20 + 1
f(-4) = -19
The Department of Commerce in a state has determined that the number of small businesses that declare bankruptcy per month is approximately a Poisson distribution with a mean of 3.4. Find the probability that more than 3 bankruptcies occur next month.
Answer:
0.44164
Step-by-step explanation:
Given that :
Mean (λ) = 3.4
probability that more than 3 bankruptcies occur next month
Using the poisson distribution formula :
P(x ; λ) = P[(e^-λ) * (λ^x)] ÷ x!
Probability of obtaining more than 3 bankruptcies :
To save computation time, we can use the poisson distribution calculator :
P(x >3 ; λ = 3.4)
P(x > 3) = 0.44164
P(x > 3) = 0.44164
The attendance for a basketball team declined at a rate of 5% per game throughout a losing
season. 23,500 people attended the first game. How many people attended the 8th game?
Equation:
Answer:
Answer:
y=23,500
Step-by-step explanation:
General form for an exponential equation
y = ab^{x - h} + k y=ab
or
y = ab^x y=ab
Exponential growth and decay, when the quantity increases by a fixed percentage at regular intervals.
Exponential growth y = a(1 + r)^x y=a(1+r)
\because b = (1 + r) ∵b=(1+r)
Exponential decay y = a(1 - r)^x y=a(1−r)
x
\because b = (1 - r) ∵b=(1−r)
Where, a - initial value
r - decay or growth rate
x - Number of time intervals that have passed
Step 2: Set up an exponential equation from the given in formation
Given that:
Declined(Decay) rate r = 5% = 0.05
Players from the first game a = 23,500
Exponential decay y = a(1 - r)^x y=a(1−r)
x
y=23,500(1-0.05)^xy=23,500(1−0.05)
x
y=23,500(0.95)^xy=23,500(0.95)
x
Step 3: Build a table of values by evaluating the function at different x-values.
y=23,500(0.95)^xy=23,500(0.95)
If x = 0 then y = 23,500(0.95)^x y=23,500(0.95)
y = 23,500(0.95)^0 y=23,500(0.95)
y = 23,500 * 1 y=23,500∗1
y=23,500
2. A rental car company charges34.75per day plus60.35permile. How much would it cost to drive301 miles over a period of 3 days? ?
X = number of days
Day cost= 34.75 day
Y = number of miles
Mile cost = 60.35
Then find
Charge Z= 34.75 X + 60.35Y
Z= 34.75•3 + 60.35•301
Z= 104.25 + 18165.35 = 18269.6
Then answer is
It costs to rent car $18270
Given vector u = (1, (3) and v = (1, -1), how are the vectors related?
The vectors form an acute angle of approximately 75º.
The vectors form an acute angle of approximately 81°.
The vectors form an obtuse angle of approximately 99º.
The vectors form an obtuse angle of approximately 105°.
Answer:
Its D on Edge 2020
Step-by-step explanation:
The vectors form an obtuse angle of approximately 105°.
Answer:
D.
Step-by-step explanation:
quiz
3. If a 35-foot cable were run from the top of the pole and anchored to the ground at a distance from the pole, about how far away from the pole would it be anchored?
The distance from the pole at which the cable is anchored is about 25 feet from the pole .
Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.
Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.
we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.
Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .
Simplifying the above equation
1225 = 1600 - 80ED + ED²
1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0
Factorizing the above quadratic equation
ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)
= 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.
The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.
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Find the solution of this system of equations
-2y = 48 + 6x
-6x + 9y = -84
Step-by-step explanation:
can u help me In one question
josue bought 7 pounds of pretzels at a local wholesaler for $16.80. his friend ricardo bought 5 pounds of pretzels at the supermarket for $12.75. Ricardo thinks he got the better deal because $12.75 is less than $16.80. Is Ricardo's reasoning correct? Explain why or why not.
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Darlene earned 6.75 interest in her savings account for a 15-month period. What was the average amount of interest Darlene earned on her savings account per month?
What is the area of a circle with diameter of 13 to the nearest tenth? (Use 3.14 for л.)
Answer:
Question 2
Area of circle = 132.7
Question 3
Total area of 3 rugs = 37.68 square feet
(assuming 4 feet is the diameter since that part of the image has been cropped)
Step-by-step explanation:
We are going to use the following information to answer questions 2 and 3
Area of a circle of radius r = πr² with π = 3.14
Radius = diameter/2
Question 2
Radius of circle = 13/2 = 6.5
Area = πr²
= 3.14 x (6.5)^
= 132.665
= 132.7 rounded to the nearest tenth
Question 3
Not sure whether the given figure of 4 ft is diameter or radius since that part of the image has been cropped.
I am going to assume it is the diameter.
If it is the diameter, 4 feet diameter = 2 feet radius
The area covered by each rug is 3.14 x 2² = 3.14 x 4 = 12.56 square feet
For 3 rugs total area = 3 x 12.56 = 37.68 square feet
A triangle has sides with lengths of 10 millimeters, 25 millimeters, and 28 millimeters, is it a right triangle
Answer:
No, it is not a right triangle.
Step-by-step explanation:
Let's take it as,
→ Hypotenuse = 28 mm
→ Perpendicular = 25 mm
→ Base = 10 mm
Now use Pythagoras theorem,
→ Hypotenuse² = Perpendicular² + Base²
→ 28² = 25² + 10²
→ 784 = 625 + 100
→ 784 ≠ 725
→ [ LHS ≠ RHS ]
Hence, it does not forms a right triangle.
What is 33/8 in a mixed number
Answer: 4 1/8
Step-by-step explanation: To change an improper fraction to a mixed number, you need to first divide the numerator by the denominator as the fraction sign is essentially just a division sign. In this case, you do 33 divided by 8, which would get you 4 with a remainder of 1. 33/8 is just equal to 4 and 1/8.
33/8 is equal to 4 \(\frac{1}{8}\) in terms of mixed fraction.
What are Fractions?Fractions are numbers of the form \(\frac{p}{q}\) where both p and q are real numbers. It can also be defined as a portion of a whole.
p is called the numerator and q is called the denominator.
There are different types of factors such as unit fractions, like fractions, unlike fractions, improper fractions, proper fractions, mixed fractions and so on.
Mixed fractions are fractions of the form q \(\frac{r}{d}\) where q is the quotient, r is the remainder and d is the divisor upon dividing the numerator with the denominator of an improper fraction.
33/8 can be expressed in the mixed form by dividing 33 with 8.
We get quotient is 4 and remainder is 1.
So 33/8 = 4 \(\frac{1}{8}\)
Hence 33/8 can be written as 4 \(\frac{1}{8}\) in terms of mixed fraction.
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