the benton youth soccer team has players on the team, including reserves. of these, three are goalies. today, the team is having a contest to see which goalie can block the most number of penalty kicks. for each penalty kick, a goalie stands in the net while the rest of the team (including other goalies) takes a shot on goal, one at a time, attempting to place the ball in the net. if everyone on the team has gone up against each goalie exactly once, then how many penalty kicks have occurred?
Answers
There are total 57 penalty kicks must be taken to ensure that everyone has gone up against each of the goalies.
The defensive goalkeeper must remain on the goal line, towards the kicker, between the goal posts, without touching the goal posts, the crossbar or the goal net until the ball is kicked. Players other than the kicker and goalkeeper must: Be at least 9.15 m (10 yards) from the penalty mark.
According to the Question:
Subtract one player from the total number, because one has to block: 19
Multiply this by the number of goalies there are.
19 × 3=57
Therefore, 57 penalty kicks must be taken to ensure that everyone has gone up against each of the goalies.
Complete Question:
The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is having a contest to see which goalie can block the most number of penalty kicks. For each penalty kick, a goalie stands in the net while the rest of the team (including other goalies) takes a shot on goal, one at a time, attempting to place the ball in the net. How many penalty kicks must be taken to ensure that everyone has gone up against each of the goalies?
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Related Questions
Brian rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 1.
Answers
Answer:
zero
Step-by-step explanation:
probability of getting total of 1 is zero
minimum of total can be 1+1=2
What is 2592x340?
answer
Answers
Answer:
881280
Step-by-step explanation:
2592x340=881280
881280
Step by step explanation:
Convert thie following percent to a decimal:
80%
80.2
8.5
0.805
0.802
801.2
Answers
Answer:
Step-by-step explanation:
It would be 80.5, but that doesn't seem to be an option.
There may have perhaps been some sort of error?
The ratio of peanuts to crackers is 2:5. If a bag contained 30 peanuts, how many crackers would the bag contain?
Answers
Answer:
12:30
Step-by-step explanation:
12:30 is the correct answer
You can divide 30 and 5 to get 6, and multiply the 2 by 6 so it'll be equal.
Hope it helped.
.In testing the null hypothesis H0:p1−p2=0, if H0 is false, the test could lead to:
A. either a Type I error or a Type II error
B. a Type I error
C. a Type II error
D. none of the above
Answers
The answer to your question is: A. either a Type I error or a Type II error. When testing the null hypothesis H0:p1−p2=0, hexagon if H0 is false (i.e., the population proportions are not equal), there are two types of errors that can occur in a hypothesis test:
1. Type I error: This occurs when we reject the null hypothesis H0, even though it is true. The probability of making a Type I error is denoted by α, and is also known as the level of significance. 2. Type II error: This occurs when we fail to reject the null hypothesis H0, even though it is false. The probability of making a Type II error is denoted by β.
Therefore, when testing the null hypothesis H0:p1−p2=0, if H0 is false, the test could lead to either a Type I error or a Type II error. So, the correct answer is A. either a Type I error or a Type II error. answer: C. a Type II error
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What's the y-intercept? y= 2x^2+6x+7
Answers
Answer:
y intercept(s): (0,7)
Step-by-step explanation:
Mark as Branliest if right!
raios of 3 The ratboys to 5 girls
Answers
Write f as a product of three linear factors. f(x) = x3 -3x2 + 2x - 6
Answers
Answer: f(x)= x8
Step-by-step explanation: f(x)= x3 - (-6) + -4x/ f(x)= 2x - x3 = x8
this exercise refers to choosing two cards from a thoroughly shuffled deck. assume that the deck is shuffled after a card is returned to the deck. if you do not put the first card back in the deck before you draw the next, what is the probability that the first card is a 10 and the second card is a jack?
Answers
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Solve the problem?
Given that a card is selected from a 52-card deck that has been thoroughly shuffled without being replaced, the following card is drawn.
A: The top card is a 4, and B: The next card is an ace.
Probability =A∩B
After this first card is pulled, if 10is drawn, we have 51 cards left with 4 aces in them. This is the probability we need to discover for
P(A). = 10/52
P(B) = number of aces in 51 cards divided by 51, thus = 4/51
Hence A∩B =10/52×10/51
= 100/2652
(From this, we can see that, after changing the card count, A and B are independent.
Additionally, we multiply the probability for both.)
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A student would like to estimate the average number of text messages sent by cell-phone users in a day. Which of
the following methods would provide a voluntary response sample?
A. a survey of adults leaving a movie theater
B. a survey of all students in a statistics class
C. a text poll provided during a nightly news broadcast
D. a survey of every 10th person leaving a large shopping mall
Answers
Answer:
c.) a text poll provided during a nightly news broadcast
Step-by-step explanation:
Correct on Edge for Statistics class
The option C. a text poll provided during a nightly news broadcast is a method which would provide a voluntary response sample.
What are Sampling Methods?Sampling methods are the methods used to select a random sample from a big population.
Common methods of selecting samples are voluntary response sample, convenience sample, simple random sample, stratified random sample, cluster random sample and systematic random sample.
In voluntary response sample, sample is selected by putting a request for the population members to join the sample. It is the people who are the members of the population decide to join the sample or not.
In the option A, a survey of adults leaving a movie theater, people does not have an option to join or not. All the adults are joining for the sample which is not a voluntary response sample.
In the option B, all students are being surveyed, which is also not a voluntary response sample.
In the option C, people are deciding whether to poll or not which is a voluntary response sample.
In the option D, survey includes all the 10th people leaving the shopping mall, which is also not voluntary response sample.
Hence the method which would provide voluntary response sample is a text poll provided during a nightly news broadcast.
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perform the following calculations with the correct significant figures 0.0879/0.98
Answers
The correct significant figure of 0.0879/0.98 is 0.08989796. (rounded to six significant figures)
Significant FiguresThe meaningful digits in a measured or computed number are known as significant figures. They are used to convey the degree of uncertainty in a value and represent the accuracy of the measurement. You must first establish the number of significant figures in each value being utilized before you can execute a computation with significant figures. When doing the computation, use the same number of decimal places as the value with the fewest significant figures. The final step is to round the result to the appropriate number of significant digits.
According to the question
Both numbers in the calculation 0.0879/0.98 have four significant digits. The result, after performing the calculation, is 0.08989796. We look at the final digit (7) in the response to determine the right amount of significant digits to round to. The preceding digit (9) is rounded up if the digit is 5 or above. In this instance, the solution, rounded to six significant numbers, is 0.0899.
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Young Professional magazine was developed for a target audience of recent college graduates who are in their first 10 years in a business/professional career. In its two years of publication, the magazine has been fairly successful. Now the publisher is interested in expanding the magazine’s advertising base. Potential advertisers continually ask about the demographics and interests of subscribers to Young Professional. To collect this information, the magazine commissioned a survey to develop a profile of its subscribers. The survey results will be used to help the magazine choose articles of interest and provide advertisers with a profile of subscribers. As a new employee of the magazine, you have been asked to help analyze the survey results.what do young professional be a good advertising outlet for online brokers justify your conclusion with statistical data?
Answers
The majority of Young professional subscribers are interested in personal finance and investment opportunities.
Young Professional magazine would be a good advertising outlet for online brokers because its target audience consists of recent college graduates who are in their first 10 years in a business/professional career. This demographic is likely to have a high level of education, which means they are more likely to understand and be interested in investment opportunities. Additionally, as young professionals, they are likely to have a higher disposable income and a desire to invest and grow their wealth.
According to the survey results, the majority of Young Professional subscribers are interested in personal finance and investment opportunities. This makes the magazine an ideal outlet for online brokers to advertise their services and reach potential customers. The survey also revealed that the majority of subscribers are tech-savvy and comfortable with online transactions, which makes them more likely to be interested in using online brokers for their investment needs.
Overall, the demographics and interests of Young Professional subscribers make it a good advertising outlet for online brokers. By advertising in the magazine, online brokers can reach a highly educated, tech-savvy, and financially motivated audience that is likely to be interested in their services.
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what are the coordinates of D’ after a dilation with a scale factor of 2?
Answers
Answer:
4,-2 that is what it should be
At the end of each week,darius records the weight in pounds of doggie treats eaten as a negative rational number. plot the number of pounds eaten each week on the number line. order the numbers from most pounds eaten to fewest pounds eaten.
Answers
In this representation, the numbers are placed from left to right in order of most pounds eaten to fewest pounds eaten.
To plot the number of pounds eaten each week on a number line and order them from most pounds eaten to fewest pounds eaten, we'll consider the negative rational numbers representing the weight in pounds of doggie treats eaten by Darius. Here's an example ordering:
1. -3.5
2. -2.7
3. -2.5
4. -1.8
5. -1.2
6. -0.9
7. -0.5
8. -0.2
To visualize this on a number line, let's place these numbers accordingly:
```
-3.5 -2.7 -2.5
|---------------------|-----------|
-1.8 -1.2 -0.9 -0.5 -0.2
|-----------|-----------|-----------|
```
In this representation, the numbers are placed from left to right in order of most pounds eaten to fewest pounds eaten. Each number is marked with a vertical line segment, and the length of the line segment corresponds to the magnitude of the number. The numbers are positioned such that they are evenly spaced along the number line.
Please note that this is just one possible ordering and arrangement of the numbers on the number line. The exact values and spacing may vary based on the actual data.
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At the Beijing Olympics, Usain bolt won the 200 meter race with
a time of 19.30 seconds. (1m = 3.28ft, 1 mi = 2580ft)
a. What was his avg. speed in meters per second?
b. What was his avg. speed in mil
Answers
(A) Usain Bolt's average speed in meters per second was approximately 10.36 m/s.
(B) Usain Bolt's average speed in miles per hour was approximately 23.35 mph.
(A) Average speed = Distance / Time
Average speed = 200 meters / 19.30 seconds
Average speed = 10.36 meters per second
Therefore, Usain Bolt's average speed in meters per second was approximately 10.36 m/s.
(B) 1 mile = 2580 feet
Converting the distance from meters to miles:
Distance in miles = Distance in meters / (1 meter / 3.28 feet) / (1 mile / 5280 feet)
Distance in miles = 200 meters / 3.28 / 5280 miles
Time in hours = Time in seconds / (60 seconds / 1 minute) / (60 minutes / 1 hour)
Time in hours = 19.30 seconds / 60 / 60 hours
Average speed = Distance in miles / Time in hours
Average speed = (200 meters / 3.28 / 5280 miles) / (19.30 seconds / 60 / 60 hours)
Average speed = 23.35 miles per hour
Therefore, Usain Bolt's average speed in miles per hour was approximately 23.35 mph.
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the variables r and s are inversely proportional, and r=7 when s=6. determine s when r=10.
Answers
If the variables "r" and "s" are inversely proportional and r=7 when s=6 , then when r = 10 , value of "s" will be 4.2 .
When the two variables are inversely proportional, their product is constant. That means, for two variables "r" and "s" , the it is represented in equation as :
⇒ r × s = k, where k is a constant ;
the value of variable "r" = 7 when s = 6,
First , we have to find the value of k:
⇒ k = r × s = 7 × 6 = 42 ;
So, for any value of r and s, the product "rs" will always be equal to 42.
When r = 10, we can use the equation to find s:
⇒ s = k/r = 42/10 = 4.2
Therefore , when r = 10 , the variable "s" is 4.2.
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Use the figure to find the measures of the numbered angles?
Answers
119 degrees = angles 2, 4, 5, 7
The red angle is vertical to angle 6. Since vertical angles are congruent, angle 6 = 61.
The red angle corresponds to angle 1, and angle 6 corresponds to angle 3. Since corresponding angles are congruent, angle 1 and angle 3 = 61.
The red angle and angle 4 are consecutive interior angles, which are supplementary. So 180 - 61 means angle 4 is 119.
4 and 2 are vertical so angle 2 is 119
4 and 7 are corresponding and 2 and 5 are corresponding so 7 and 5 are 119.
7. Try to prove that the shortest distance from the point (xo,yo,zo) to the plane ax + by + cz k, is ax+by+cz -k d = |- √a²+b²+c²
Answers
The formula d = |(axo + byo + czo - k) / √(a² + b² + c²)| represents the shortest distance from the point (xo, yo, zo) to the plane ax + by + cz = k, taking into account the directionality of the distance.
To find the shortest distance between a point and a plane, we need to consider the perpendicular distance. We can represent the plane as ax + by + cz = k, where (a, b, c) is the normal vector of the plane, and (xo, yo, zo) is the coordinates of the point.
We begin by considering an arbitrary point on the plane, (x, y, z). We can calculate the vector from the point (xo, yo, zo) to (x, y, z) as (x - xo, y - yo, z - zo). The dot product of this vector with the normal vector (a, b, c) gives us ax + by + cz, which represents the signed distance between the point and the plane.
To obtain the shortest distance, we divide this signed distance by the magnitude of the normal vector, √(a² + b² + c²). This normalization ensures that the distance is independent of the scale of the normal vector. Finally, taking the absolute value of the resulting expression gives us the shortest distance from the point to the plane: d = |(axo + byo + czo - k) / √(a² + b² + c²)|.
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What is the equation of a line perpendicular to y = -1/4 x + 8 and passes
through the point (0, 1)?
Answers
Answer:
y = 4x + 1
Step-by-step explanation:
y = -1/4 x + 8
Slope: -1/4
Slope of the perpendicular line is the negative inverse: 4
y = 4x + a
Point (0,1)
1 = (4)*(0)+a
1 = a
y = 4x + 1
Not really sure how to do this, could use some help. Much appreciated. :D
Answers
Answer:
n = 3
Step-by-step explanation:
start by combining 'like' terms on each side of equation to get:
7n - 9 = -3n + 21
add 3n to each side to get:
10n - 9 = 21
add 9 to each side to get:
10n = 30
n = 30/10 or n = 3
Check:
7(3) - 9 = -3(3) + 21
21 - 9 = -9 + 21
12 = 12
Answer:24n
Step-by-step explanation:
4n+3n=7n
7n-9=2n
2n-5n=3n
3n+21=24n
at a town fair it cost 9$ to enter and 1.50$ on each ride. represent this function in at least three ways
Answers
Answer:
1 2 3 ways for it to function
Step-by-step explanation:
A computer’s value declines about 7% yearly. Sally bought a computer for $800 in 2005. How much is it worth in 2009.
Answers
Answer:
598
Step-by-step explanation:
800x0.93^4
Which of the following is an arithmetic sequence?
Answers
Answer:
3rd option is your answer.....
Please help me! thank you
Suppose an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t)=-16t^2+48t+120. Find the average velocity from t=2 to t=4.
Type your answer as a number with no units.
Answers
The average velocity from t = 2s to t = 4s would be - 48 ft/s.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.
Average velocity
Average rate of change of velocity with time is called average velocity. Mathematically -
v{avg.} = Δx/Δt .... Eq { 1 }
Δx = x(4) - x(2)
Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}
Δx = - 96
Δt = 4 - 2 = 2
So -
v{avg.} = Δx/Δt = -96/2 = - 48 ft/s
Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.
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pls answer I'll mark brainliest the question is in the picture also please explain how you solved
Answers
Answer:
D) 36π\(a^6b^9\)
Step-by-step explanation:
Volume of a sphere:
V = 4/3πr³
Given:
r = 3a²b³
Work:
V = 4/3πr³
V = 4/3π(3a²b³)³
V = 4/3π(27\(a^6b^9\))
V = 36π\(a^6b^9\)
Nga's car insurance premium increased by $60, which was 8% of the original cost. What was the original cost of premium?
Answers
Answer:
$750
Step-by-step explanation:
If p represents the original cost, the relationship expressed in the problem statement is ...
60 = 0.08p
Dividing by 0.08, we find ...
p = 60/0.08 = 750
The original cost of the premium was $750.
Use the fact that for points (a1, b1) and (a2, b2) in the coordinate plane, we can calculate the slope of the line through these points using the following formula. Slope = Δy Δx = b2 − b1 a2 − a1 Find the point where the line through (5, 2) with slope 4 crosses the vertical axis. (x, y) =
Answers
The values: y - 2 = 4 * (x - 5) Now, set x = 0 and solve for y: y - 2 = 4 * (0 - 5) y - 2 = -20 y = -18 So, the point where the line crosses the vertical axis is (0, -18).
To find the point where the line through (5, 2) with slope 4 crosses the vertical axis, we first need to use the given formula to find the equation of the line.
Using the point-slope form of a line, we have:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the given point (5, 2).
Plugging in m = 4 and (x1, y1) = (5, 2), we get:
y - 2 = 4(x - 5)
Simplifying, we get:
y = 4x - 18
To find the point where this line crosses the vertical axis, we set x = 0 and solve for y:
y = 4(0) - 18
y = -18
So the point where the line crosses the vertical axis is (0, -18).
Therefore, the answer is (x, y) = (0, -18).
To summarize, we used the given formula to calculate the equation of the line through (5, 2) with slope 4, and then found the point where this line crosses the vertical axis by setting x = 0 and solving for y.
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.Independent random samples of business managers and college economics faculty were asked to respond on a scale from 1 (strongly disagree) to 7 (strongly agree) to this statement: Grades in advanced economics are good indicators of students’ analytical skills. For a sample of 70 business managers, the mean response was 4.4 and the sample standard deviation was 1.3. For a sample of 106 economics faculty, the mean response was 5.3 and the sample standard deviation was 1.4.
a) Test, at the 5% level, the null hypothesis that the population mean response for business managers would be at most 4.0. (10marks)
b) Test, at the 5% level, the null hypothesis that the population means are equal against the alternative that the population mean response is higher for economics faculty than for business managers. Assume unequal variance.
Answers
Step-by-step explanation:
a) The test statistic is (4.4-4)/(1.3/sqrt(70)) = 2.83. The p-value is 0.0023. Since the p-value is less than 0.05, we reject the null hypothesis.
b) The test statistic is (5.3-4.4)/sqrt((1.4^2/106)+(1.3^2/70)) = 4.09. The p-value is less than 0.0001. Since the p-value is less than 0.05, we reject the null hypothesis.
Please answer CORRECTLY !!!!!! Will mark BRAINLIEST !!!!!!!!
Answers
Answer:
The answer is 7 meters
Step-by-step explanation:
Its 7 meters because if you divide the area by the width you would get the length (49 divided by 7 = 7)
Write an example from daily life that uses each type of real number.
rational numbers
Answers
Write an example from daily life that uses rational numbers .
Real numbers that may be expressed as p/q, where p, q are integers, and q 0, are rational numbers. The money we have is a rational number. If we spend some sum out of it, it is subtraction of rational number.The running race involves rational numbers if you're an athlete.Rational numbers include the following:the distance runthe time needed to complete the distance,the number of competitors placing first, second, or thirdthe number of heartbeats you take per minute.We use fractions to represent taxes.If you split a pizza or any other food.When you finish a piece of your work, you indicate that you have done half, or 50%.Loan and mortgage interest rates.Savings account interest.To learn more about rational numbers, refer:
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