Team Sports Sport Number of Players Baseball 9 Basketball 5 Football 11 Hockey 6 Lacrosse 10 Polo 4 Rugby 15 Soccer 11 Enter the ratio of lacrosse players to baseball players in the form a b and then as a decimal showing up to four decimal places. Tell whether the decimal is a terminating or a repeating decimal.
Answers
Answer:
Ratio of Lacrosse players to Baseball players is 10:9 or 10/9
Step-by-step explanation:
A ratio can be seen as a relationship between two values which is based on quantitative measures.
To do this simply we divide the values of the quantities that we want to determine the ratio of which on is to the other.
It can be seen as Value of quantity A / Value of quantity B
In this case, quantity A is the Lacrosse players, and it has a value of 10
quantity B represents the Baseball players with a value of 9.
Hence the ratio is \(\frac{10}{9} = 1.1111\)
It can also be written as 10: 9
The decimal is a repeating decimal because the numbers after the decimal points take up a pattern that repeats themselves up to infinity.
Related Questions
Suppose that 40% of all adults regularly consume coffee, 65% regularly consume carbonated soda, and 75% regularly consume at least one of these two products.
Answers
(i) The probability of a randomly selected adult consuming both coffee and soda regularly will be given by: P(A ∩ B) = 0.30.
(ii) The probability of a randomly selected adult not consuming at least one out of coffee and soda regularly is given by: P((A ∪ B)') = 0.25.
What is probability of an event?
The probability of an event refers to the chances of occurrence of an event.
P(E) = Chances of occurrence of an event E = \(\frac{Number Of Favorable Outcomes Of Event E}{Total Number Of Possible Outcomes}\)
Step-by-step explanation:
Given:
40% of all adults regularly consume coffee, 65% regularly consume carbonated soda, 75% regularly consume at least one of these two products.Now let A = Event that an adult consumes coffee
B = Event that an adult consumes carbonated soda.
Then,
P(A) = probability of the occurrence of A = 0.40P(B) = 0.65P(A ∪ B) = 0.75(i): Now, we know that:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
=> P(A ∩ B) = P(A) + P(B) - P(A ∪ B)
∴ P(A ∩ B) = 0.40 + 0.65 - 0.75 = 0.30
Hence, the probability of a randomly selected adult consuming both coffee and soda regularly is 0.30.
A(ii): Now, we know that:
P((A ∪ B)') = 1 - P(A ∪ B)
∴ P((A ∪ B)') = 1 - 0.75 = 0.25
Hence, the probability of a randomly selected adult not consuming at least one out of coffee and soda regularly is 0.25.
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the number of red blood cells per square unit visible under a microscope follow a poisson distribution with a mean of 4. find the probability that more than 5 such blood cells are visible to the observer
Answers
To find the probability that more than 5 red blood cells are visible under a microscope, we can use the Poisson distribution with a mean of 4.
The Poisson distribution is used to model the number of events that occur in a fixed interval of time or space. In this case, we are interested in the number of red blood cells per square unit visible under the microscope.
The formula for the Poisson distribution is:
P(X = k) = (e^(-λ) * λ^k) / k!
Where:
- P(X = k) is the probability of observing k events
- e is Euler's number (approximately 2.71828)
- λ is the mean number of events in the interval
- k is the actual number of events observed
In this case, the mean (λ) is given as 4. We want to find the probability of observing more than 5 red blood cells.
To find this probability, we need to calculate the sum of the probabilities for observing 6, 7, 8, 9, and so on, up to infinity. Since calculating the infinite sum is not practical, we can use a scientific calculator or statistical software to find the cumulative probability.
For example, using a scientific calculator, you can calculate the cumulative probability as follows:
1 - P(X ≤ 5)
This will give you the probability of observing more than 5 red blood cells per square unit visible under the microscope.
Remember to substitute the values of λ and k in the Poisson distribution formula and perform the calculations accurately.
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To solve an equation,___ the variable, or get it alone on one side of the equation
Answers
To solve an equation, you need to isolate the variable or get it alone on one side of the equation.
Finding the value of the variable is the fundamental goal when solving an equation. You can achieve this by placing the variable alone on one side of the equation or by isolating it. A number of mathematical procedures must be carried out in order to accomplish this while maintaining the equality of the equation and simplifying the expression containing the variable.
The secret is to alter the equation so that the variable term is on its own by adding, removing, multiplying, or dividing both sides by the same number. By using the necessary mathematical procedures, the solution can be derived after the variable has been isolated.
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The equation: 2x + y = -10
-2x -y = 10
Will the X’s or Y’s eliminate?
A) X’s
B) Y’s
C) Both
Answers
Answer:
A
Step-by-step explanation:
Please help!!!!!!!!!!
Answers
if 15 x 1.8 = 27 then
45 x 1.8 = 81
so answer: B) 81
PLEASE HELP DUE TODAY
(a) Draw and label a net for the pyramid.
(b) Determine the surface area of the pyramid. Show your work.
Answers
The net of the pyramid is the plane shapes that makes up the pyramid
The surface area of the pyramid is 224 m^2
How to draw the net of the pyramidThe pyramid is a square based pyramid.
This means that the net of the pyramid has a square and four triangles
See attachment for the net of the pyramid
How to calculate the surface area of the PyramidThe base length is given as:
b = 8
The slant height is given as:
s = 10
Start by calculating the height of the pyramid using:
\(h = \sqrt{s^2 - (b/2)^2}\)
So, we have:
\(h = \sqrt{10^2 - (8/2)^2}\)
\(h = \sqrt{84}\)
The area of the pyramid is then calculated as:
\(A = b^2 + 2b * \sqrt{\frac{b^2}{4} + h^2}\)
So, we have:
\(A = 8^2 + 2*8 * \sqrt{\frac{8^2}{4} + 84}\)
\(A = 64 +16 * \sqrt{16 + 84}\)
\(A = 64 +16 * \sqrt{100}\)
\(A = 64 +16 * 10\)
\(A = 224\)
Hence, the surface area of the pyramid is 224 m^2
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What is the speed of 240 km in 3 hours?
Answers
The speed of the moving body that is being referred to here is 80 kilometer per hour.
The given problem is a straightforward one based on the idea of the universal law of motion. According to the universal law of motion, any uniformly traveling body's distance traveled is determined by the product of its speed and the time elapsed. Distance is calculated as speed * time. Therefore the body is going at a speed of 80 kilometers per hour, according to the same relation as above, assuming that it is moving at a constant speed.
\(Distance = speed * time\)
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A Simple Maximization Problem
Consider the following linear programming problem
a. List all the extreme points of the feasible region. b. Find the optimal solution and the objective function value.
c. List the values of all the slack variables.
a. (0,0),(5,0),(3.75,3.75),(3.5,4.5),(0,8); b. x=3.5,y=4.5,OFV=59.5;c.s1=0,s2=2,s3=0
a. (0,0),(5,0),(3.5,4.5),(0,8); b. x=3.5,y=4.5,OFV=59.5;c.s1=0,s2=2,s3=0.
a. (0,0),(5,0),(3.75,3.75),(6,4),(0,8); b. x=6,y=4,OFV=76;c1.s1=5,s2=0,s3=2.
a. (0,0),(5,0),(8,0),(3.5,4.5),(0,8); b. x=8,y=0,OFV=64;c.s1=45,s2=20,s3=0.
a. (0,0),(5,0),(3.75,3.75),(4,6),(0,8); b. x=4,y=6, OFV =74;c1.s1=0,s2=0, s3=2.
a. (0,0),(5,0),(8,0),(3.5,4.5),(0,8),(0,10); b. x=0,y=10,OFV=70;c.s1=25,s2=0,s3=2
a. (0,0),(3,0),(3.75,3.75),(3,5),(0,4); b. x=3,y=5, OFV =59;c1.s1=5,s2=0,s3=0
a. (0,0),(5,0),(3.75, 3.75),(3.5),(0,8); b. x=3, y=5, OFV=59; c1.s1=5, s2=0, s3=0
Answers
a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);
b. x = 3.5, y = 4.5, OFV = 59.5;
c. s1 = 0, s2 = 2, s3 = 0.
a. The extreme points of the feasible region are the vertices of the polygon formed by the intersection of the constraint lines. In this case, the extreme points are (0,0), (5,0), (3.75, 3.75), (3.5,4.5), and (0,8).
b. To find the optimal solution and the objective function value, we evaluate the objective function at each extreme point and choose the point that maximizes the objective function. In this case, the point (3.5, 4.5) maximizes the objective function with a value of 59.5. Therefore, the optimal solution is x = 3.5 and y = 4.5, and the objective function value is 59.5.
c. The slack variables represent the surplus or slack in each constraint. We calculate the slack variables by subtracting the actual value of the left-hand side of each constraint from the right-hand side. In this case, the values of the slack variables are s1 = 0 (indicating no slack in the first constraint), s2 = 2 (indicating a surplus of 2 in the second constraint), and s3 = 0 (indicating no slack in the third constraint).
Therefore, the correct option is:
a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);
b. x = 3.5, y = 4.5, OFV = 59.5;
c. s1 = 0, s2 = 2, s3 = 0.
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AP Statistics TPS 8.3Q. Which of the following changes to a study would result in a narrower confidence interval?answer choices- increasing the confidence level, increasing the sample size- decreasing the confidence level, decreasing the sample size- increasing the confidence level, decreasing the sample size- decreasing the confidence level, increasing the sample size.
Answers
Answer:
Step-by-step explanation:
The correct answer is decreasing the confidence level, increasing the sample size.
A narrower confidence interval means that the range of possible values for the true population parameter is smaller, indicating greater precision in the estimate.
Increasing the sample size will increase the precision of the estimate of the population parameter, thus resulting in a narrower confidence interval.
On the other hand, decreasing the confidence level will also result in a narrower interval. Since the confidence interval represents a range of values that are likely to contain the true population parameter, a lower confidence level means that there is less uncertainty in the estimate of the population parameter, which leads to a narrower interval.
Increasing the sample size and lowering the confidence level are the correct responses.
A narrower confidence interval denotes more accuracy in the estimate because it reduces the range of potential values for the true population parameter.
A narrower confidence interval will be produced by increasing the sample size because it will improve the estimate of the population parameter's precision.
On the other hand, a narrower interval will be produced by lowering the confidence level. A lower confidence level indicates that there is less uncertainty in the estimate of the population parameter, which results in a narrower interval. The confidence interval reflects a range of values that are likely to contain the true population parameter.
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The temp is -11 degrees and went up 7 deg how much is it now?
Answers
Answer:
its -4 :)
Step-by-step explanation:
Ayo how do I find the unknown
Answers
Answer:
x = 13
Step-by-step explanation:
Since AB = AC , then Δ ABC is isosceles
So the base angles are congruent , both 2x + 15
The sum of the 3 angles = 180° , then
2x + 15 + 2x + 15 + 98 = 180
4x + 128 = 180 ( subtract 128 from both sides )
4x = 52 ( divide both sides by 4 )
x = 13
as, AC = AB so, angle C = angle B
so,. value of Angle b = 2x + 15° as well,
hope this answer helps you dear...and may u have a great day ahead!
Compute the following arithmetic problems in Z/8. Represent your answer with the least positive representative of the appropriate equivalence class (a) [3] + [4] 7 ] (b) [2] . ([2] + [7]) 2 ]] (c) ([6] + [5]). ([3] + [7])
Answers
The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.
Here, we are given three equations as follows, let us solve them one by one-
a. [ [3] + [4] 7 ]
Here [z] = remainder when z is divided by 8
Thus, [4] = 4
⇒ [ [3] + 4*7 ]
= [ 3 + 28 ]
= [ 31 ]
= 7
b. [ [2] . ([2] + [7]) 2 ]
= [ 2 . (2 + 7) 2 ]
= [ 2*9*2 ]
= [ 36 ]
= 4
c. ([6] + [5]). ([3] + [7])
= (6 + 5). (3 + 7)
= 11*10
= 110
The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.
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How do you add numbers like 1 and 2. Ez pts
Answers
Answer:
On a number line think "I'm at number 1 and if I move myself up another line, and then another, I have just added 2, and gotten myself to 3" Answer is 1+2=3. THANK YOU FOR THESE EZ POINTS!
Step-by-step explanation:
Calculate the volume of liquid that would fill the bowl of the glass. Show your work please
Answers
V = pi • radius^2 h/3
So we fill in the numbers
V = pi •
the radius is half of diameter,
The diameter is 5
So it’s
V = pi • 2.5
since it’s half of 5
V = pi • 2.5^2 h/3
the height is 8 so we fill it in
V = pi • 2.5^2 8/3
When calculated, you get..
52.36
Idk if I did it right, someone correct me if I’m wrong.
Answer: 40.6Cm^3
Step-by-step explanation:
The other answer for the most part is correct, except they got the high wrong. The slant height is 8, you can figure out the actual height with the Pythagoras theorem.
a^2+b^2 = c^2
5^2 + b^2=8^2
b = square root 39
b = 6.2
The formula for a cone is: 1/3 pi*r^2*h
Now we plug in our numbers
The diameter is 5 so our radius is 2.5
Our height is 6.2
1/3 * Pi* 2.5^2 * 6.2
12.9 * 3.14
40.6
can anyone answer the questions asked in the picture?
Answers
answer needed asap :)))
Answers
Answer:
EvenStep-by-step explanation:
let A= 2 and B= 5(A + 2) (B + 3) = even number(2 + 2) (5 + 3) = ?4 × 8 = 32 32 is an even number2AB 2 (2) (5) = 2020 is an even number.I therefore conclude that 2AB is even.\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)
Start time 6 :28 am end time 10:08 am what is the elapsed time
Answers
The elapsed time between a start time of 6:28 am and an end time of 10:08 am is 3 hours and 40 minutes.
To calculate the elapsed time between a start time of 6:28 am and an end time of 10:08 am, we need to subtract the start time from the end time. First, let's consider the minutes. The end time is 08 minutes past the hour, and the start time is 28 minutes past the hour. Subtracting 08 minutes from 28 minutes gives us 20 minutes.
Next, let's consider the hours. The end time is 10:08 am, and the start time is 6:28 am. Subtracting the hours, we get 10 - 6 = 4 hours. Therefore, the elapsed time between the start time of 6:28 am and the end time of 10:08 am is 4 hours and 20 minutes. In other words, from 6:28 am to 10:08 am, there is a total of 4 hours and 20 minutes that have passed.
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3. Use the image to answer the following questions.
will brainiest if correct. try ur best!
(a) The angle pitch of a roof is safest when measuring between 18° – 27°. According to these guidelines, is the roof pictured in the image safe? (Note:
(b) What is length of the roof line (segment PR)? Round answer to the nearest tenth of a foot and show all your work.
Answer:
Answers
Answer:
Step-by-step explanation:
For missing hypotenuse: \(\sqrt({a^{2} + b^{2})\)
Plug in the side lengths that are known to find the hypotenuse.
1. No, the angle is less than 18 degrees (closer to 15), so it is not safe
2. The length rounded to the nearest tenth is approximately 15.5 feet.
Help me please !!!!!!!!!
Answers
Hope this helps.
Brainliest please
1. Represent the following signals: a) a(t)=-u(-t-2) (1 v.) b) b(t)=(t+1).[u(t+3)-u(t-3)] (1 v.) c) d) c(t)=a(t)+b(t) (1 v.) d(n)=u(-n+2) (1 v.)
Answers
a) The signal a(t) = -u(-t-2) can be represented as a step function that is activated at t = -2 and has a value of -1 for t < -2 and 0 for t > -2.
b) The signal b(t) = (t+1)[u(t+3)-u(t-3)] can be represented as a ramp function that starts at t = -1 and increases linearly until t = 3, then remains constant for t > 3.
The value of the ramp is 0 for t < -1, (t+1) for -1 ≤ t < 3, and 4 for t ≥ 3.c) The signal c(t) = a(t) + b(t) is the sum of signals a(t) and b(t). It can be represented as the combination of the step function and the ramp function described above.
d) The signal d(n) = u(-n+2) can be represented as a discrete unit step function that is activated at n = 2 and has a value of 1 for n ≤ 2 and 0 for n > 2. It is a discrete version of the step function where time is replaced by the discrete variable n.
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What is the area, in square centimeters, of the isosceles trapezoid below
Answers
Answer:
39.48
Step-by-step explanation:
1/2(5.3+13.5)(4.2)
Find the missing number using the distributive property. 10 + 20 = 2(5 + __)
Is it:
A) 10
B) 4
C) 5
D) 2
Answers
Answer:
it's A 10
Step-by-step explanation:
10+20= 30
so 15×2=30
5+10=15
2( = ×2
A line passes through the point (4,2) and has a slope of 5/4
Answers
Answer:
y - 2 = \(\frac{5}{4}\) (x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = \(\frac{5}{4}\) and (a, b) = (4, 2) , thus
y - 2 = \(\frac{5}{4}\) (x - 4) ← equation of line
Bob had $110 in his bank account before writing a check to invest in his next big adventure. After writing the check, Bob found that he had a balance of -$24 in his account. How much money was on the check Bob wrote?
Show steps
Answers
$134
$110+$24=$134
if Bob had 110 in his account and found he had a -24 balance, you would need to add the two together to find the check amount written.
Tony has 60$ to buy souvenirs for his grandkids at the baseball game. pennants cost $7.50 and hats cost $11.99. this relationship can be represented by the inequality 7.5p +11.99h ≤ 60. three of tony's grandkids want hats. which inequality represents how many pennants he can buy? a.0 ≤ p ≤ 3.204 b. p ≤ 3 c.0 ≤ p ≤ 3 d. p ≤ 3.204
Answers
Answer:
Option a. is correct.
Step-by-step explanation:
Given: Total amount with Tony is 60$. Pennants cost $7.50 and hats cost $11.99.
To find: inequality that represents number of pennants bought by Tony if three of tony's grand kids want hats
Solution:
p denotes number of pennants and h denotes number of hats.
As three of tony's grand kids want hats, \(h=3\)
Total cost of 3 hats = \(3(11.99)=\$35.97\)
Cost of one pennant = $7.50
According to question,
\(35.97+7.50p\leq 60\\7.50p\leq 60-35.97\\7.50p\leq 24.03\\p\leq \frac{24.03}{7.50}=3.204\)
Also, being number of pennants, \(0\leq p\)
So, inequality that represents number of pennants Tony can buy is \(0\leq p\leq 3.204\)
Option a. is correct.
Identify the value for the variable.
What is the value of x in this simplified expression?
79.7-3 = 7^x
x=?
What is the value of y in this simplified expression?
11-4
11-8 = 11y
y =?
Answers
Answer:
N
Step-by-step explanation:
thats the answer because I did all the work on paper
7) A cylindrical pipe has a circumference of 16 cm. Calculate the diameter of the pipe
Answers
Answer:
pi×diamiter = circumference
pi÷circumference = diamiter
3.14159265358979 (pi) ÷ 16
Step-by-step explanation:
omar wants to purchase a bike helmet for 22.55 and a bike for 134.45.
if the sales tax rate is 8.25%, what will be the total amount of his purchase?
Answers
Answer:
$169.96 dollars
Step-by-step explanation:
Given the following questions:
8.25% of 22.55 and 134.45
In order to find the answer, we will have to add the initial costs of the items together, then we will calculate using the formula for percentages to find the tax rate.
\(22.55+134.45=157\)
\(157\)
Calculate the percentage:
\(\frac{p\times c}{100}\)
\(\frac{8.25\times157}{100} =8.25\times157=1295.25\div100=12.9525\)
\(=12.9525\)
\(12.9525\)
\(2 < 5\)
\(=12.96\)
Add the sales tax:
\(157+12.96=169.96\)
\(=169.96\)
Which means the two items along with an 8.25% sales tax costs "$169.96 dollars."
Hope this helps.
A random sample of 539 households from a certain mid-western city was selected, and it was determined that 133 of these households owned at least one firearm ("The Social Determinants of Gun Ownership: Self-Protection in an Urban Environment," Criminology, 1997: 629–640). Using a 95% confidence level, calculate a lower confidence bound for the proportion of all households in this city that own at least one firearm.
Answers
The lower confidence bound for the proportion of all households in the city that own at least one firearm is 0.220.
Given data,N = 539n = 133x = Number of households that own a firearmP = x/n = 133/539 = 0.246
Therefore, the sample proportion of households that own at least one firearm is 0.246.For a 95% confidence interval, we have to calculate the value of the z-score for 97.5% confidence interval because the normal distribution is symmetric about the mean.
The z-score for a 97.5% confidence interval can be calculated as:z = 1.96Now, we can calculate the margin of error using the following formula
Margin of error = z√(P(1-P)/N)Margin of error = 1.96√(0.246(1-0.246)/539)Margin of error = 0.0423Now, we can find the confidence interval by adding and subtracting the margin of error from the sample proportion of households that own at least one firearm.Upper confidence bound = P + margin of error= 0.246 + 0.0423= 0.2883Lower confidence bound = P - margin of error= 0.246 - 0.0423= 0.2037
Therefore, the lower confidence bound for the proportion of all households in the city that own at least one firearm is 0.220.
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A toy store ordered 26 crates of stuffed bears. There are 21 stuffed bears in each crate.
What is the best estimate of how many stuffed bears the store ordered
Answers
Answer:
about 500
Step-by-step explanation: