The mean number of goals a football team scores per match in
the first 9 matches of a competition is 5.
a) How many goals does the team score in total in the first 9
matches of the competition?
b) If the team scores 2 goals in their next match, what would their
mean number of goals after 10 matches be?
Answers
The team scores 45 goals in total in the first 9 matches of the competition and the mean number of goals after 10 matches would be 5.2
If the mean number of goals scored per match is 5, then the total number of goals scored in 9 matches is:
Total goals = mean × number of matches
Total goals = 5 × 9
Total goals = 45
Therefore, the team scores 45 goals in total in the first 9 matches of the competition.
b) After 10 matches, the total number of goals scored by the team would be:
Total goals = mean × number of matches
Total goals = 5×10
Total goals = 50
If the team scores 2 goals in their next match, then the total number of goals scored by the team would be:
Total goals = 50 + 2
Total goals = 52
Therefore, the mean number of goals after 10 matches would be:
Mean = Total goals / number of matches
Mean = 52 / 10
Mean = 5.2
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Related Questions
Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
Answers
Answer:
(-5, -3)
Step-by-step explanation:
We can use the fact that the diagonals of a parallelogram bisect each other
Let me classify the points as
A (-4, 7)
B (2, -5)
C (3, 5)
Let us assume the 4th vertex is D(x, y) where x and y have to be determined
We will assume that AB is the diagonal of the parallelogram ABCD
The midpoint of a line segment from (x1, y1) to (x2, y2) is given by
(1/2)(x1 + x2, y1 + y2) ie the average of their x and coordinates
If we let O be the midpoint of AB, coordinates of O are
1/2 x (-4 + 2, 7 -5) = 1/2 x ( -2, 2) = (-1, 1)
We know the other diagonal CD must pass through point O and O is also the midpoint of CD
Therefore if coordinates of D are (x, y)
then x-coordinate of O which is -1 should be the average of x coordinate of C and x coordinate of D
==> - 1 = (3 + x)/2
=> -2 = 3 + x
=> -2 - 3 = x
=> -5 = x
=> x = -5
Similarly
1 = (5 + y)/2
=> 2 = 5 + y
=> 2 - 5 = y
=> -3 = y
y = -3
So the coordinate of the fourth vertex D are (-3, -5)
Check the attached graphs for a clearer understanding
Which of the following charts is used when the measure for the sample is weight, volume, number of inches or other variable measurements? 1. Mean chart 2. Range chart 3. C chart 4. P chart
Answers
The chart that is typically used when the measure for a sample is weight, volume, number of inches or other variable measurements is the mean chart.
The mean chart is a statistical process control chart that plots the average or mean of the sample against the upper and lower control limits. This chart is useful when the process being measured produces continuous data that is normally distributed.
The range chart is used when the measure for the sample is the range of variation within the sample. This chart shows the difference between the largest and smallest values in the sample, and is useful for detecting changes in variability.
The C chart is used when the measure for the sample is the number of defects or occurrences within a given unit of measurement. This chart is useful for measuring the process capability of a system and identifying areas where improvements can be made.
Finally, the P chart is used when the measure for the sample is the proportion of defective items within a given sample. This chart is useful for measuring the quality of a product or process and identifying areas where defects are occurring.
Overall, the mean chart is the most commonly used chart for variable measurements, but the specific chart chosen will depend on the nature of the data being collected and the goals of the analysis.
To briefly explain each of the chart types:
1. Mean chart: Used for monitoring the central tendency of a variable over time.
2. Range chart: Used for monitoring the variability of a continuous variable, like weight, volume, or number of inches, over time.
3. C chart: Used for monitoring the number of defects in a unit of measure (e.g., per item or per batch) over time.
4. P chart: Used for monitoring the proportion of defective items in a sample over time.
In your case, since you are working with variable measurements like weight, volume, and the number of inches, the most appropriate chart to use is the Range chart (#2). This chart will help you monitor the variability of the measured data over time and allow you to analyze any patterns or trends that may emerge.
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Write an equation in slope-intercept form for this line .
Answers
Answer:
y = 2x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, then
y = 2x + c ← is the partial equation
To find c substitute (3, - 6) into the partial equation
- 6 = 6 + c ⇒ c = - 6 - 6 = - 12
y = 2x - 12 ← equation of line
Answer:
y=2x-12
Step-by-step explanation:
slope=m=y-(-6)/x-3
2=y+6/x-3
y+6=2(x-3)
y=2x-12
In right triangle XYZ, angle y and angle z are complementary angles. If sin (y) = 0.423, cos (y) = 0.906, and tan (y) = 0.466, then cos (x)=
Answers
We can use the given information to find the values of sin(z), cos(z), and tan(z):
sin(z) = sin(90 - y) = cos(y) = 0.906
cos(z) = cos(90 - y) = sin(y) = 0.423
tan(z) = tan(90 - y) = cot(y) = 1/tan(y) = 1/0.466 = 2.144
Now we can use the Pythagorean theorem to find the length of the hypotenuse:
sin^2(y) + cos^2(y) = 1
0.423^2 + cos^2(y) = 1
cos^2(y) = 1 - 0.423^2
cos(y) = sqrt(1 - 0.423^2) = 0.906
Finally, we can use the definition of cosine to find cos(x):
cos(x) = adj/hyp
cos(x) = cos(y)/hyp
cos(x) = 0.906/hyp
We do not have enough information to find the value of hypotenuse, so we cannot determine the value of cos(x).
Select the best method of finding an accurate solution to a system of linear equations.
A:use algebraic methods
B:graph the lines
C:guess and check
Answers
PLEASSSE get this this circle bs mad wack
Answers
Answer:
x = 6
Step-by-step explanation:
The inscribed angle is half the measure of its intercepted arc, that is
3x + 5 = 0.5 × 46 = 23 ( subtract 5 from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Answer:
x = 6
Step-by-step explanation:
The inscribed angle is half the measure of its intercepted arc, that is
3x + 5 = 0.5 × 46 = 23 ( subtract 5 from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
a person with tuberculosis is given a chest x-ray. four tuberculosis x-ray specialists examine each x-ray independently. if each specialist can detect tuberculosis % of the time when it is present, what is the probability that at least 1 of the specialists will detect tuberculosis in this person?
Answers
The probability that at least one of the specialists will detect tuberculosis in this person is 0.9999 or 99.99%.
To calculate the probability that at least one of the specialists will detect tuberculosis in this person, we can use the concept of the complement rule.Let's denote the probability that a specialist will detect tuberculosis as p. The probability that a specialist will not detect tuberculosis is then (1 - p).Since each specialist examines the x-ray independently, the probability that none of the specialists will detect tuberculosis is (1 - p) raised to the power of the number of specialists.Let's assume there are four specialists. The probability that none of them will detect tuberculosis is (1 - p)⁴.
Therefore, the probability that at least one of the specialists will detect tuberculosis is 1 minus the probability that none of them will detect tuberculosis.
Probability(at least one specialist detects tuberculosis) = 1 - Probability(none of the specialists detect tuberculosis)
= 1 - (1 - p)⁴
Substituting the given information that each specialist can detect tuberculosis % of the time when it is present (which means p = %/100), we can calculate the probability.
Probability(at least one specialist detects tuberculosis) = 1 - (1 - p)⁴
= 1 - (1 - %/100)⁴
For example, if each specialist has a 90% detection rate (% = 90), the probability would be:
Probability(at least one specialist detects tuberculosis) = 1 - (1 - 90/100)⁴= 1 - (1 - 0.9)⁴
= 1 - (0.1)⁴
= 1 - 0.0001
= 0.9999
Therefore, the probability that at least one of the specialists will detect tuberculosis in this person is 0.9999 or 99.99%.
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Find the greatest common factor for each problem.use the t-chart to slow?
16 and 40
Gcf:
Answers
The required GCF is 8.
The greatest common factor is that greatest number from the factors which divides the number completely.
For example take numbers 12 and 16.
The factors of 12 are 2×2×3.
And the factors of 16 are 2×2×2×2.
We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.
Here it is given to find the greatest common factor of 16 and 40.
Factors of 16 = 2×2×2×2
Factors of 40 = 2×2×2×5
We can see clearly the common factors are 2×2×2 which gives 8.
So, 8 is the greatest common factor.
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can you please help me
Answers
Answer:
\(D\)
Step-by-step explanation:
Every integer is a rational number.
Hey mia Please answer and How are yall If yall dont have something good dont answer and only one person answer please so mia can answer
Answers
Answer:
Hey, hope your good and you got a great friend here <3
Step-by-step explanation:
#21
In the diagram, line g is parallel to line h.
Answers
Answer:
2, 3, 4, 5
Step-by-step explanation:
Answer:
I believe 4 of these are correct,
answer choice, 2,3,4and
Step-by-step explanation:
2 and 3 are correct because of the inverse of the parallel theorem and answer choice 4 is just a straight line has an angle of 180. Since angle 3 corresponds to angle 7 also meaning they are congruent. We can say angle 1 and 7 add up to 180. As for answer 5, it is the same side interior thereom
What is the hire purchase of a stove purchased through 24 monthly
payments of J$2,000 and a deposit of J $950?*
Answers
9514 1404 393
Answer:
J$48,950
Step-by-step explanation:
The entire purchase price is ...
24×J$2000 +J$950 = J$48,950
The length of cell A is 8×10-5 m.
The length of cell B is 0.000004m. What is the ratio of cell A's length to cell B's length?
The ratio of cell A's length to cell B's length is___
(Type the ratio as a simplified fraction.)
Answers
The ratio of cell A's length to cell B's length = 20
How to find the ratioTo find the ratio of cell A's length to cell B's length, we need to divide the length of cell A by the length of cell B:
Ratio of cell A's length to cell B's length = Length of cell A / Length of cell B
Ratio of cell A's length to cell B's length = (8×10^-5 m) / (0.000004 m)
= 0.00008 / 0.000004
Ratio of cell A's length to cell B's length = 20
Therefore, the ratio of cell A's length to cell B's length is 0.02.
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Use guess and check to find an anti-derivative
F(x)
for
f(x)=sin(x)cos(x)
. Explain why you chose particular guesses, and how you checked them.
Answers
When finding an antiderivative using the method of guess and check, it is important to use a guess that is based on the original function and the rules of differentiation.
One approach to finding an antiderivative of a function is the method of guess and check. This involves making an educated guess for the antiderivative and then verifying it by taking the derivative of the guess and comparing it to the original function.
To find the antiderivative of f(x) = sin(x)cos(x), we can start with a guess based on the product rule for differentiation: d/dx (uv) = u * dv/dx + v * du/dx
Since f(x) = sin(x)cos(x), we can write: d/dx (sin(x)cos(x)) = cos^2(x) + sin^2(x) = 1
This suggests that the antiderivative of f(x) = sin(x)cos(x) might be: F(x) = sin(x)sin(x) + C, where C is an arbitrary constant of integration.
To check our guess, we need to take the derivative of F(x) and compare it to the original function f(x): d/dx (sin(x)sin(x) + C) = cos(x)sin(x)
If our guess is correct, the derivative of F(x) should equal f(x). However, in this case, our guess does not match the original function f(x), so we need to make another guess. A second guess could be:
F(x) = -cos(x)cos(x) + C
Taking the derivative: d/dx (-cos(x)cos(x) + C) = -sin(x)cos(x)
This time, the derivative of F(x) does match the original function f(x), so our guess is correct and the antiderivative of f(x) = sin(x)cos(x) is:
F(x) = -cos(x)cos(x) + C.
Thus, In conclusion, when finding an antiderivative using the method of guess and check, it is important to use a guess that is based on the original function and the rules of differentiation. By checking the derivative of the guess and comparing it to the original function, we can determine whether or not our guess is correct.
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HELP ASAP PLSPLSPSLSPLSPSLS
Rewrite the radical expression as an expression with a rational exponent.
the fourth root of seven to the fifth power
A- seven to the five fourths power
B- x20
C- x
D- seven to the four fifths power
Answers
The radical expression as an expression with a rational exponent is A- seven to the five fourths power.
What is a exponent?An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.
Given, the fourth root of 7 to the fifth power, we have to write the radical as a rational exponent.
The formula to change a radical to a rational exponent is given by:
= a ^(m/n)
Now, cube root of the seventh power can be written as:
4✓7^5
Therefore, the rational exponent is A.
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For a confidence interval, decreasing the sample size will have what effect on the width of the confidence interval?
A)increases the width of the interval
B)has no effect on the width of the interval
C)not enough information to determine the effect on the width.
D)decreases the width of the interval
Answers
For a confidence interval, decreasing the sample size will have an effect on the width of the confidence interval it will increase the width of the interval. Therefore, the correct option is A.
A confidence interval is a range of values that are associated with a certain level of probability. It represents the degree of confidence with which we can state that the population parameter lies within the interval. The relationship between sample size and confidence interval width is inversely proportional.
The larger the sample size, the narrower the confidence interval. On the other hand, decreasing the sample size will increase the width of the confidence interval. As a result, the confidence interval's precision decreases, and the probability of capturing the true population parameter decreases.
As a result, the width of the confidence interval is inversely proportional to the sample size. When we reduce the sample size, the interval width expands, resulting in a less precise estimate of the true population parameter. Hence, option A is correct.
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PLEASE HELP ME I HAVE NO CLUE HOW TO DO THIS
Answers
Answer:
a.
Step-by-step explanation:
5y=p(95°) vertical opposite angles
5x=85° || || ||
5y + 5x + 85° + 95° =360° revolution
Discuss the downsizing process in your own words and provide an
example.
Answers
Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.
Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.
During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.
While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.
It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.
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What is the x-intercept for the following standard form line?
−3x+5y=72
Answers
Answer:
The x-intercept is when y is 0.
Step-by-step explanation:
-3x + 5[0] = 72
-3x = 72
didvide both sides by -3...
x = 24
24 is your x-intercept
Determine the value of the angle.
Angle BDC=
Answers
90°-53°=37°
The whole angle is right angled
I'LL DO ANYTHING!! PLEASE
Answers
The original length is 250 meters and the scale drawing width is 0.67 cm
The original length of the landFrom the question (see attachment), we have the following parameters that can be used in our computation:
Scale length = 0.5 meters
So, we have
Original length = 0.5/(1/500)
Evaluate
Original length = 250
This means that the original length is 250 meters
The scale drawing widthHere, we have
Scale drawing width = 335 * 1/500
Scale drawing width = 0.67 cm
Hence, the scale drawing width is 0.67 cm
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Find the value of x.
(3x + 12)
72°
Answers
Answer:
i was gonna say 15 .(3x+12)=15
Simplify using order of operations: 10/2+3+6+3/3
Answers
Answer:
15
Step-by-step explanation:
10/2 + 3 + 6 + 3/3
= 5 + 3 + 6 + 1
= 15
15 is the answer.
How can $500 be divided between four people so that each person gets $20 more than the person before.
Answers
Answer:
$95, $115, $135, $155
Step-by-step explanation:
If the first person gets x dollars:
the next person gets 20 more, so x + 20 dollars
the next person gets x + 40 dollars
and the last person gets x + 60 dollars
We add all these allocations together, and we get $500
x + (x + 20) + (x + 40) + (x + 60) = 500
Combine like terms
4x + 120 = 500
Subtract 120 on both sides
4x = 380
Divide by 4 on both sides
x = 95
So the first person gets $95.
The second person must get $115
The third must get $135
And the fourth must get $155
Checking our work:
95 + 115 + 135 + 155 = 500
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Answers
Answer:
A) (2,5)
Step-by-step explanation:
longest side is between points (1,4) and (3,6)
so midpoint is ((1+3)/2), ((4+6)/2), which equals (2, 5)
4/6 - 3/6 = ?
I'm horrible at math like seriously???
20 points because I need help ASAP THIS IS DUE IN 30 MINUTES!! AND I GOT 3 MORE PAGES!!!
Answers
Answer:
4/6-3/6= 1/6
Step-by-step explanation:
Hope this helps. If you need anything else I got you.
Answer:
Step-by-step explanation:
1/6 in exact form, 0.16 (repeating) in decimal form. Thank me later. :)
true ir false .
A central angle is equal to half the measure of its intercepted arc.
Answers
Answer:
Step-by-step explanation:
Answer
False but close.
The intercept arc and the central angle are equal.
how do i get from 4 to 6
Answers
Answer:
you count 4 and then 5 and then 6 brah LML
Step-by-step explanation:
Answer:
add 2
Step-by-step explanation:
2+4=6
approximately how many acres are there in a lot 1/2 mile by 1/2 mile?
Answers
There are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.
To find the number of acres in a lot, you can use the following formula:
Number of acres = (length in feet) x (width in feet) / 43,560
First, convert the length and width from miles to feet. There are 5,280 feet in a mile, so:
Length in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Width in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Next, plug these values into the formula:
Number of acres = (2,640 feet) x (2,640 feet) / 43,560 = 174,240,000 / 43,560 = 160 acres
Therefore, there are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.
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Obtuse triangle. Step 1: Suppose angle A is the largest angle of an obtuse triangle. Why is cosA negative? Step 2: Consider the law of cosines expression for a 2and show that a 2>b2+c2Step 3: Use Step 2 to show that a>b and a>c Step 4: Use Step 3 to explain what triangle ABC satisfies A=103 ∘,a=25, and c=30
Answers
CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.
Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.
Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.
Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.
Therefore, the largest angle of an obtuse triangle is opposite the longest side.
Step 4: In triangle ABC, A=103°, a=25, and c=30.
a² = b² + c² - 2bccos(A),
a² = b² + 900 - 900 cos(103),
a² = b² + 900 + 900 cos(77),
a² > b² + 900, so a > b.
Similarly, a² > c² + 900, so a > c.
Therefore, triangle ABC satisfies a>b and a>c.
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