Based on Paul's batting scores for cricket in a season, his mean score to the nearest whole number is equal to 13.
What is a mean?In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the mean for the set of scores?Mathematically, the mean for this set of scores can be calculated by using the following formula:
Mean = [F(x)]/n
For the total scores, we have;
F(x) = 17 + 23 + 9 + 0 + 8 + 21 + 12
F(x) = 90.
Now, we can determine the mean score as follows;
Mean score = 90/7
Mean score = 12.86 ≈ 13.
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A student's four test grades are stored in cells a10, b10, c10, and d10. which excel statement will calculate the test average of these 4 grades?
The excel statement to estimate the test average of these 4 grades is -
Click a cell just below column or on the right of the row containing the numbers you want to average.Click the arrow next to AutoSum > Average on the HOME tab, then press Enter.What is termed as average function?An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.
Assume we have the following sequence of numbers: 1, 2, 3, 4, 1, 2, and 3. The sum of the these numbers is 16, and the number of numbers divided by 7 is 2.28. As a result, the average of the these numbers is 2.28.In Microsoft Excel, how do you find the average?The average of multiple cells in Microsoft Excel and other spreadsheets can be calculated using the appropriate formula. The formula in the following example calculates the average of the values found in cells A1 through F1 of the first column : =AVERAGE(A1:F1)You would use the same row but modify the cells to cells in a row to calculate the average of cells in one row. For instance, the formula recognizes the average value in cells A1 via A20 when placed in cell A21. =AVERAGE(A1:A20)To know more about the Microsoft Excel, here
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Kendall caught some fish two weeks ago. This amount is three less than twice the amount he caught last week.
If he caught 27 fish, which equation represents the amount of fish he caught these last two weeks together?
Answer:
let Amount of fish =X
Amount is three less than twice the amount
2X - 3
Kendall caught fish = 27
Equation is
2X - 3 =27
Step-by-step explanation:
The graph represents the piecewise function:
100 POINTS !!!
1x37 2.4. Thato is a resident in the Phakisa municipality and below is a tariff on a sliding scale that the municipality uses to charge her for water usage. Water Usage Up to 6 kl 7 kl - 30 kl 30.1 kl 60 kl More than 60 kl Fixed charge if > 6 kl = R80,70 Free for infrastructure if > = R7,15 Rate per kilolitre (VAT of 15%) inclusive 0 R6,48 R16,20 R21,60 2.4.1. Calculate the cost if Thato uses 35 kl of water charge 2.4.2. Calculate the new fixed charge if it is increased by 15%
Answer:
The cost for Thato's usage of 35 kl of water is R702.48.
Step-by-step explanation:
Since Thato used 35 kl of water, she falls into the third category where the rate is R16.20 per kl. We can calculate the cost as follows:
Cost = Fixed charge + (Rate per kl × Usage) + Infrastructure fee
The fixed charge is free for infrastructure, so we don't need to include it in this calculation.
Cost = (Rate per kl × Usage) + Infrastructure fee
= (R16.20 × 35) + R7.15
= R567.00 + R7.15
= R574.15
We also need to add 15% VAT to the cost:
Total cost = Cost × (1 + VAT)
= R574.15 × 1.15
= R702.48
Therefore, the cost for Thato's usage of 35 kl of water is R702.48.
2.4.2. Answer: The new fixed charge would be R92.81.
Explanation:
If the fixed charge is increased by 15%, the new fixed charge would be:
New fixed charge = Old fixed charge + (15% of old fixed charge)
= R80.70 + (0.15 × R80.70)
= R80.70 + R12.11
= R92.81
Therefore, the new fixed charge would be R92.81.
mation to complete the task.
Nozoml makes $1.25 for each granola bar she sells. Let d represent the amount of money, in dollars, she makes when she sells g granola bars.
Create an equation to represent the relationship between the number of granola bars Nozomi sells and the amount of money she makes.
Move numbers, variables, or symbols to the blanks to create the equation.
8
d
+
1.25
Let 'g' represent the number of granola bars sold by Nozomi. As Nozomi makes $1.25 for each granola bar she sells, and let 'd' represent the amount of money in dollars.
she makes when she sells 'g' granola bars.Therefore, the equation for the above-mentioned relationship is given by:
d = 1.25g Thus, Nozomi makes 1.25 dollars for each granola bar she sells, and for 'g' granola bars sold, she makes an amount of 1.25g dollars. The equation is
8d + 1.25
= 8(1.25g) + 1.25
= 10g + 1.25.
The equation to represent the relationship between the number of granola bars Nozomi sells (g) and the amount of money she makes (d) is:
d = 1.25g + 8
In this equation, "d" represents the amount of money (in dollars) Nozomi makes when she sells "g" granola bars. The term "1.25g" represents the amount of money she makes for each granola bar sold, and the constant term "8" represents any additional amount she makes regardless of the number of granola bars sold.
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Please help me with this. No links or random words or I will report.
terracE baked 15 cookies he gave 6 to his sister what percentage of the cookies did he give his sister
Answer:
40%
Step-by-step explanation:
6 is 40% of 15
Jeremy read that the population of his town increased by 10% in the 1980s,and then increased by another 10% in the 1990s.What is the population at the end of the 1990s?
Answer:1.21x
Step-by-step explanation:
Let the initial population was x
(1.1x)*1.1=1.21x
Consider the multiple regression output shown: The regression equation is Y = 45.3 -6.56X1 + 1.70X2 + 1.40x3 + 0.426X4. X3 Predictor Coef SE Coeft P Constant 45.32 19.62 2.31 0.060 X1 -6.556 1.018 -6.44 0.001 X2 1.697 1.187 1.43 0.202 1.4040 0.4961 2.83 0.030 X4 0.4263 0.1416 3.01 0.024 S = 2.04939 R - Sq = 99.8% R - Sq (adj) = 99.6% Analysis of Variance Source DFSS MS FP Regression 4 11049.2 2762.3 650.66 0.000 Residual Error 6 25.2 4.2 Total 10 11074.4 One case in the sample has Y = 24,X1 = 10, X2 = 8, X3 = 6, and X4 = 48. What is the predicted response for this case? What is the residual? Round your answers to one decimal place. One case in the sample has Y = 24, X1 = 10, X2 = 8, X3 = 6, and X4 = 48. What is the predicted response for this case? What is the residual? Round your answers to one decimal place. Predicted response: i Residual: i
The residual for this case is approximately -0.4.
The predicted response for the given case can be obtained by substituting the values of X1, X2, X3, and X4 into the regression equation:
Y = 45.32 - 6.556X1 + 1.697X2 + 1.404X3 + 0.426X4
Substituting X1 = 10, X2 = 8, X3 = 6, and X4 = 48:
Y = 45.32 - 6.556(10) + 1.697(8) + 1.404(6) + 0.426(48)
Y ≈ 24.4
The predicted response for this case is approximately 24.4.
The residual is calculated by subtracting the predicted response from the actual response:
Residual = Actual response - Predicted response
Residual = 24 - 24.4
Residual ≈ -0.4
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Which of these tables is a ratio table?
Answer:
its the second one from the left
1×4=4
3×4=12
6×4=24
assume that the amount of time a person experiences cold virus symptoms are normally distributed with a mean of 7.5 days and a standard deviation of 1.5 days. what cold length (number of days of symptoms) is exceeded by only 20% of cold sufferers?
Answer: The cold length exceeded by only 20% of cold sufferers is approximately 8.76 days.
Step-by-step explanation:
We need to find the value of the cold length (number of days of symptoms) that is exceeded by only 20% of cold sufferers, which corresponds to the 80th percentile of the normal distribution with a mean of 7.5 days and a standard deviation of 1.5 days.
Using a standard normal table or calculator, we can find the z-score that corresponds to the 80th percentile:
z = invNorm(0.8) = 0.8416
We can then use the formula for z-score:
z = (x - μ) / σ
where x is the cold length, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get:
0.8416 = (x - 7.5) / 1.5
Solving for x, we get:
x - 7.5 = 0.8416 * 1.5
x - 7.5 = 1.2624
x = 8.7624
Therefore, the cold length exceeded by only 20% of cold sufferers is approximately 8.76 days.
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Compute P9,2. (Enter an exact number.) Compute C7,5. (Enter an exact number.)
The Exact number of \($$P_{9,2}$$\) is \(72\)
The Exact number of \($$C_{7,5} $$\) is \(21\)
An exact number is a value that is known with complete certainty. In other words, an exact number has zero uncertainty and an infinite number of significant figures. An exact number cannot be simplified or reduced.
Examples of exact numbers included counted numbers, defined units, and defined unit conversions. Many exact numbers are integers, but some are decimals. Here are specific examples.
Number of protons in a carbon atom (6)Minutes in one hour (60)Avogadro’s number (6.02214076 × 1023)ZeroThe number of centimeters in one inch (exactly 2.54)Number of pages in a bookHere we have to compute \($P_{9,2}$\) means
\(P_{1,5} & =\frac{7 !}{(7-5) !}\)
\(P_{9,2} & =\frac{9 !}{(9-2) !}\)
\(=\frac{9 !}{7 !}=\frac{9 \times 8 \times 7 !}{7 !}\)
\(P_{9,2} & =7 \times 8=72\)
Hence \($P_{9,2}$\) \(=72\)
Here we have to compute \($C_{7,5}$\) means
Combination \($(7,5)$\)
\($$\begin{aligned}& \left(\begin{array}{l}7 \\5\end{array}\right)=\frac{7 !}{(7-5) ! 5 !}=\frac{7 * 6 * 5 !}{2 ! * 5 !} \\& =\frac{7 * 6}{2 * 1}=21\end{aligned}$$\)
Hence
\($$C_{7,5}=21$$\)
Therefore, the Exact number of P9,2. is 72 and C7,5. is 21.
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What fraction accurately represents the decimal 2.3
Answer:
23/10. or 2 3/10
Step-by-step explanation:
BRAINLEST!!! 30 points!!!!!!
Directions: Select the correct answer from each drop-down menu.
Brad wanted to determine what type of cereal middle school students in his school preferred.
If Brad only surveyed Ms. Coe's seventh grade math class, the results of the survey would be..
valid or invalid?
If Brad only surveyed every fourth middle school student who rode the school bus in the morning, the results of the survey be
Invalid or valid?
If Brad only survkyed every tenth student on the school roster, the results of the survey be
Valid or invalid?
Answer:
If Brad only surveyed Ms. Coe's seventh grade math class, the results of the survey would be..
invalid
If Brad only surveyed every fourth middle school student who rode the school bus in the morning, the results of the survey be
valid
If Brad only survkyed every tenth student on the school roster, the results of the survey be
valid
can i have brainliest pls i need vertuoso
Step-by-step explanation:
Answer:
1. Invalid
2. Valid
3. Not sure about this one
Step-by-step explanation:
Samantha wants to know whether the food she serves in her restaurant is within a safe range of
temperatures. She randomly selects 70 entrees and measures their temperatures just before she
serves them to her customers.
What is the population?
Answer: The population would be the data of temperatures of all food served by the restaurant.
Step-by-step explanation:
In a statistical study, the term population refers to the largest group of all individuals related to the study or the objective of the study.
Here, the objective of the study= To check the temperatures of food just before serving.
Population = Data of temperatures of all dishes served by restaurant.
Hence, the population would be the data of temperatures of all dishes served by the restaurant.
1+root2/(3-root2)^2 can be writen in the form a+b root2
find the values of a and the value of b
Answer:
We can start by multiplying the denominator by its conjugate:
(3 - root2)^2 = (3 - root2)(3 + root2) = 9 - 2*root2^2 = 9 - 2 = 7
Now, we can divide the numerator by the denominator:
1+root2/(3-root2)^2 = (1+root2)/7
To get the expression in the form a + b*root2, we can see that a = 1/7 and b = 1/7 *root2
So the final form of the expression is:
1/7 + 1/7 *root2
a = 1/7 and b = 1/7 *root2
Step-by-step explanation:
In Problems 13-24, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts. 13. y = x + 2 14. y = x - 6 15. y = 2x + 8 16. y = 3x - 9
17. y = x² - 1 18. y = x² - 9 19. y = -x² + 4
20. y = -x² + 1 21. 2x + 3y = 6 22. 5x + 2y = 10 23.9x² + 4y = 36 24. 4x² + y = 4
Answer:46.8
Step-by-step explanation: Bring down the y
what is the solution for 1/2x + 8 < 10
1/2x+8<10
-8 -8
1/2x<2
*2 *2
x<4
Answer:
x<4
Answer:
x < 4
Step-by-step explanation:
Given inequation,
→ 1/2x + 8 < 10
Now the value of x will be,
→ 1/2x + 8 < 10
→ 1/2x < 10 - 8
→ x < 2 × 2
→ [ x < 4 ]
Hence, the value of x is 4.
Name the angle relationship between each pair of angles.
21
23
22
24
25
27
26
28
29
411
V
210
212
413 414
415 416
Step-by-step explanation:
in this graph we r going to see the relation of tge angles so
For angle 1
it is vertical opposite to <4ajecent angle to <2 and < 3For angle 2
it is vertical opposite to <3ajecent angle to <1 and < 4For angle 3
it is vertical opposite to <2ajecent angle to <1 and < 4For angle 4
it is vertical opposite to <1ajecent angle to <2 and < 3The same is true for the rest of angles.
Express Books advertised a college dictionary for $27.65 and a dictionary
software package for $29.80. The state tax is 5.5 percent and the city tax
is 1.5 percent. What is the total purchase price?
O $55.67
O $61.47
O $58.99
O $60.60
A
The total purchase price of the dictionary and the software package is $61.47.
What is the total purchase price?The total purchase price is the sum of the dictionary, software package and taxes.
Total cost of the dictionary and the software package = $27.65 + $29.80 = $57.45
Total cost after the taxes = ( 1 + 0.055 + 0.015) x $57.45 = $61.47
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For a company picnic, Brian ordered a box of fresh-baked gingerbread cookies and sugar cookies. The box included a total of 60 cookies, and 90% of them were gingerbread. How many gingerbread cookies did Brian get?
Answer:
54
fifty four of the cookies in the box were gingerbread cookies and the other 6 were sugar cookies
HELP ASAP
Use the pictures below to answer the question.
In order for a substance to move from A to B what has to occur?
A.
the substance must heat up and release energy
B.
the substance must heat up and absorb energy
C.
the substance must cool down and release energy
D.
the substance must undergo cool down and absorb energy
Answer:B
Step-by-step explanation:
From solid to liquid, a substance must heat up and absorb energy. This is like ice absorbing heat and becoming water
Earnings per share, EPS is calculated using the formula \large EPS=\frac{NI-PD}{SO}, where NI is net income, PD is preferred dividence, and SO number of outstanding shares.
What is a company's net income if they have $50,000 in preferred dividends and pay out $0.55 per share on 200,000 shares?
Answer: $160,000
Step-by-step explanation:
Given the following :
Earning per share (EPS) = $0.55
Number of outstanding shares = 200,000
Preferred dividend = $50,000
EPS = (NET INCOME - PREFERRED DIVIDEND) / NUMBR OF OUTSTANDING SHARES
0.55 = ( NET INCOME - 50000) / 200000
200000 × 0.55 = NET INCOME - 50000
110,000 = NET INCOME - 50000
NET INCOME = 110,000 + 50,000
NET INCOME = $160,000
Qotd:
Who do you call when 911 is committing the crime?
Answer:
Justice Department ?
Step-by-step explanation:
Answer:
816-800-0000
Step-by-step explanation:
The solid below is made from cubes.
Find its volume.
Answer:
36 yd^3
Step-by-step explanation:
6*2*3
Social scientists gather data from samples instead of populations because
a. samples are much larger and more complete.
b. samples are more trustworthy.
c. populations are often too large to test.
d. samples are more meaningful and interesting
Social scientists gather data from samples instead of populations because c. populations are often too large to test.
Social scientists often cannot test an entire population due to its size, so they gather data from a smaller group or sample that is representative of the larger population. This allows them to make inferences about the larger population based on the data collected from the sample. The sample size must be large enough to accurately represent the population, but it is not necessarily larger or more complete than the population itself. Trustworthiness, meaning, and interest are subjective and do not necessarily determine why social scientists choose to gather data from samples.
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Eight and one-half foot-pounds of work is required to compress a spring 4 inches from its natural length. Find the work required to compress the spring an additional one-half inch. (Round your answer to two decimal places.) ft-lb
Using proportions, it is found that the work required to compress the spring an additional one-half inch is of 1.0625 ft-lb.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
For 4 inches, 8.5 ft-lb of work is needed, hence for a single inch the amount needed is:
8.5/4 = 2.125.
Hence for half an inch, the amount if:
0.5 x 2.125 = 1.0625 ft-lb.
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Suppose there are two producers in a market with the following supply functions. Supply 1: P=6+0.7Q Supply 2:P=16+0.6Q When the price is [Answer], the total quantity supplied is 250. (In decimal numbers, with two decimal places, please.) Answer:
The price at which the total quantity supplied is 250 is $11.58.
In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.
Supply 1: P = 6 + 0.7Q
Supply 2: P = 16 + 0.6Q
To find the equilibrium price, we set the total quantity supplied equal to 250:
0.7Q + 0.6Q = 250
1.3Q = 250
Q = 250 / 1.3 ≈ 192.31
Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:
P = 6 + 0.7Q
P = 6 + 0.7 * 192.31
P ≈ 6 + 134.62
P ≈ 140.62
Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.
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Find the area of this semi-circle with radius, r = 66cm. Give your answer rounded to 1 DP.
Answer:
414.857143
Step-by-step explanation:
r=66
=2*66*22/7
=414.857143
the area of a square poster is 31 square inches. find the length of one side of the poster. Explain
Answer:
5.57
Step-by-step explanation:
In order to find the are of a square you would use the equation a². However, since you are finding the length of one side and its a square, you use the equation \(\sqrt{a}\). The area of this square is 31 sq in., so you would replace a with 31. The equation then becomes \(\sqrt{31}\). When out into a calculator, the answer is 5.567764... which rounded up to the nearest hundreth is 5.57.