Answer:
2nd one 6th one 1st one 4th one 3rd one 5th one
Step-by-step explanation:
Select the correct answer.
A sport statistician gathered data on the number of points scored in each game by high school basketball players across the country. She found
a population mean of 20. 15 and a standard deviation of 3. 7. Each sample size was 20 players. By the central limit theorem, which interval do
68% of the sample means fall within?
A. 19. 32 and 20. 98
B. 17. 67 and 22. 63
C. 19. 96 and 20. 34
D. 18. 50 and 21. 81
68% of the sample means fall within 19.32 and 20.98.
By the central limit theorem, we know that the distribution of sample means will approach a normal distribution with a mean equal to the population mean (20.15) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (3.7 / sqrt(20) ≈ 0.828).
To find the interval within which 68% of the sample means fall, we need to find the z-scores corresponding to the 16th and 84th percentiles of the normal distribution (which is the range that encompasses 68% of the data in a normal distribution).
Using a z-table or a calculator, we can find that the z-score for the 16th percentile is approximately -1.0 and the z-score for the 84th percentile is approximately 1.0.
Therefore, the interval within which 68% of the sample means fall is:
20.15 - 1.0(0.828) = 19.32
to
20.15 + 1.0(0.828) = 20.98
So the answer is option A: 19.32 and 20.98.
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Data- You need to pack 3 pints of liquid promethazine in 6 fluid ounce bottles. How many jars can he fill?
Data can fill 8 jars with 6 fluid ounce bottles in order to pack 3 pints of liquid promethazine.
How many 6 fluid ounce bottles are needed to pack 3 pints of liquid promethazine?To determine the number of 6 fluid ounce bottles needed to pack 3 pints of liquid promethazine, we need to convert pints to fluid ounces and then divide by the volume of each bottle.
1 pint is equal to 16 fluid ounces, so 3 pints would be equal to 3 * 16 = 48 fluid ounces.
Now, we can calculate the number of 6 fluid ounce bottles needed:
Number of bottles = Total fluid ounces / Fluid ounces per bottle
Number of bottles = 48 fluid ounces / 6 fluid ounces per bottle
Number of bottles = 8 bottles
Therefore, Data can fill 8 jars with 6 fluid ounce bottles in order to pack 3 pints of liquid promethazine.
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Evaluate the expression for x = 5.
-20 + x =
Answer:
-15
Step-by-step explanation:
-20 + x = ?
If x = 5, then:
-20 + 5 = -15
Convert the following to standard notation.
1.5 x 10
Answer:
15
Step-by-step explanation:
1.5*10 =15
Answer:
15.
Step-by-step explanation:
1.5 x 10 is expanded notation, so you just solve it (by multiplying) to convert it into standard notation.
An algorithm will be used to calculate the difference between the smallest and largest values in a list. For the list of [10, 3, 5, 6], it should calculate a difference of 7.
There are two proposals for the algorithm:
Algorithm 1: Set minVal to the first value in the list and maxVal to the last value in the list. Iterate through each number in the list. If the number is greater than maxVal, store it in maxVal. If the number is less than minVal, store it in minVal. After loop, set maxDiff to the difference between maxVal and minVal.
Algorithm 2: Set minVal to 1000 and maxVal to 0. Iterate through each number in the list. If the number is greater than maxVal, store it in maxVal. If the number is less than minVal, store it in minVal. After loop, set maxDiff to the difference between maxVal and minVal.
Which of these statements are true about these algorithms?
I. Algorithm 1 does not work on lists where the smallest value is at the start of the list or the largest value is at the end of the list.
II. Algorithm 2 does not work on lists that contain all negative numbers or all numbers over 1000.
The statements that are true about the given algorithms are: I. Algorithm 1 does not work on lists where the smallest value is at the start of the list or the largest value is at the end of the list. II. Algorithm 2 does not work on lists that contain all negative numbers or all numbers over 1000.
Algorithm 1's reliance on initializing minVal to the first value and maxVal to the last value can lead to incorrect results if the smallest or largest value is not properly updated during the iteration. Similarly, Algorithm 2's fixed initial values for minVal and maxVal can result in incorrect differences when dealing with lists containing all negative numbers or all numbers over 1000.
It is important to consider these limitations and potential failure cases when choosing and implementing an algorithm for calculating the difference between the smallest and largest values in a list.
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a contractor hired 150 men to pave a road in 30 days. how many men will he hire to do the same work in 20 days
Answer:
225 men----------------------
Find the amount of work in man*days and then divide the result by 20:
150*30/20 = 225Hence the same work will be completed by 225 men.
carson kelly, a catcher for the arizona diamondbacks, hit 18 home runs in 2019. if his home-run-hitting ability is expected to grow by 12 percent every year for the following five years, how many home runs is he expected to hit in 2024?
Carson Kelly is expected to hit approximately 31 home runs in 2024.
To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.
Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:
H(n) = H * (1 + r)^n
Where r is the growth rate, and n is the number of years into the future.
If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.
H = 18 (number of home runs in 2019)
r = 0.12 (growth rate)
n = 5 (number of years into the future)
H(5) = 18 * (1 + 0.12)^5
H(5) = 18 * 1.7623
H(5) = 31.9214
It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.
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Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an endure all battery selected at random will last more than 550 hours?.
An Endure chosen randomly the likelihood of any battery lasting longer than 550 hours is 10.56%.
What does z score mean?An indicator of how nearly a value relates to the mean of either a set of values is called a Z-score.Z-score is quantified using standard deviations relative to the mean.The data point's entire score is equal to the mean score when the Z-score is 0.The amount that the raw score departs first from mean is determined using the Z score.These steps are used to determine the Z score:
z = (x - μ)/σ
As mentioned in question-
x > 550 and μ = 500, σ = 40:
z = 550 - 500 / 40
z = 1.25
Obtain the p-value from normal distribution chart,
P(z > 1.25) = 1 - P(z < 1.25)
P(z > 1.25) = 1 - 0.8944
P(z > 1.25) = 0.1056
Thus, an Endure chosen at random the likelihood of any battery lasting longer than 550 hours is 10.56%.
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What does x and y mean
A 3 3/4 feet is cut from a 10 feet plywood how much of the plywood is left
\(3\frac{3}{4}\) feet is 2.25 feet. 7.75 feet of plywood left out of 10 feet when \(3\frac{3}{4}\) feet of plywood is cut off.
\(3\frac{3}{4}\) feet is a mixed fraction, first we need to convert it into a fraction and then we need to find the point value of the number.
therefore \(3\frac{3}{4}\) feet = 3 x 3 / 4
= 3 x 0.75 = 2.25 feet
now we need to find the plywood left when \(3\frac{3}{4}\) feet is cut from 10 feet,
therefore, now that we know \(3\frac{3}{4}\) feet is 2.25 feet we can subtract it from 10 we get:
10 - 2.25 = 7.75
therefore, we know that there is 7.75 feet of plywood left out of 10 feet when \(3\frac{3}{4}\) feet of plywood is cut off.
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Which graph represents the scenario? PLEASE HELP VERY EASY
Answer:
The answer is option B.
The second graph.
Hope this helps you
Planet Fitness charges a one-time membership fee of $25 and then a monthly charge of $10. Retro Fitness charges a one-time membership fee of $10 and then a monthly charge of $20. When is it less expensive to join Planet Fitness
Answer:
x < 3/2 month
Step-by-step explanation:
Let
x = number of months
Planet fitness:
25 + 10x
Retro fitness:
10 + 20x
Equate
25 + 10x < 10 + 20x
25 - 10 < 20x - 10x
15 < 10x
x < 15/10
x < 3/2 month
It is less expensive to join planet when the number of months is less than 3/2 months
Use the table to find the constant of proportionality and the equation that represents the relationship.
Let x = number of apples and y = number of slices.
The constant of proportionality is
.
The equation for this relationship is
.
Answer:
The constant of proportionality is 6 the equation for this relationship is y=6x
Step-by-step explanation:
Un cuerpo geométrico de forma cúbica tiene un volumen de 30 unidades cúbicas ¿cuáles serán sus dimensiones de largo, ancho y altura si sabemos que la medida del largo es mayor que la del ancho, pero menos que altura?
The dimensions of the cubic shape are:
Length = 10 units
Width = 3 units
Height = 1 units
How to calculate the valuyIt should be noted that a geometric body of cubic shape has a volume of 30 cubic units, and we want to know the length, width and height dimensions if we know that the length is greater than the width, but less than the height?l.
We can list out all the possible combinations of l, w, and h that multiply to 30:
1 * 1 * 30 = 30
1 * 2 * 15 = 30
1 * 3 * 10 = 30
1 * 5 * 6 = 30
2 * 3 * 5 = 30
Therefore, the dimensions of the cubic shape are: Length = 10 units, Width = 3 units, Height = 1 unit
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A geometric body of cubic shape has a volume of 30 cubic units, what will be its length, width and height dimensions if we know that the length is greater than the width, but less than the height?
A seagull is 19 feet above sea level. A fish swimming at the opposite distance of the seagull. What integer represents the fish?
Answer:
The integer representing the fish's depth is -19.
Step-by-step explanation:
we want to distribute 7 flyers to 10 different mailboxes. how many ways can we do that if
There are 11,440 ways to distribute 7 identical flyers into 10 different mailboxes, where each mailbox receives at most one flyer.
If we are allowed to put at most one flyer per mailbox and the flyers are identical, this problem involves distributing identical objects into distinct containers. The solution can be obtained using the stars and bars method.
We can represent the distribution of flyers as 7 stars (representing the flyers) and 9 bars (representing the dividers between the mailboxes). The number of ways to distribute the flyers is equal to the number of ways to arrange the 7 stars and 9 bars, which is given by the binomial coefficient:
${{7 + 9}\choose{9}} = {{16}\choose{9}} = \frac{16!}{9!7!} = 11440$
Therefore, there are 11,440 ways to distribute 7 identical flyers into 10 different mailboxes, where each mailbox receives at most one flyer.
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The question is incomplete but probably the full question is:
We want to distribute 7 flyers to 10 different mailboxes. How many ways can we do that if (a) We put at most one flyer per mailbox and the flyers are identical?
Patrick borrows $20,500 for 5 years with an interest rate of 2.3%, how much interest will he owe?
Answer:
i think its 2.3%
Step-by-step explanation:
tell me if im wrong
Consider the problem min 22 – (21 – 2)3 + 3 subject to X2 > 1 Which one is the extremizer point? O x=[0,2] O x=(2,2] O x=(2,1] Ox=[1,2] O x=(1,1] O x=[0,1] x=[2,2]
The extremizer point is x=(1,1].
Consider the problem min 22 – (21 – 2)3 + 3 subject to X2 > 1. The given problem can be written in the following form: minimize f(x)= 22 - (21 - 2)3 + 3 subject to g(x) = x2 > 1.The extremizer point is the point that satisfies the conditions that have been given in the question. Therefore, the extremizer point in this problem is x=(1,1].In order to find the extremizer point of a problem, we need to calculate the derivative of the objective function and then equate it to zero to find the point where it attains its minimum value. Here, however, we have only one point to choose from that satisfies the given constraint, so it is the extremizer point.
A point in a convex set that does not lie on any open line segment connecting two points in the set is referred to as an extreme point in mathematics.
The terms "extreme point" and "extremal point" can also mean:
a stage at which a function reaches its maximumA graph theory tree's leaf vertexExtreme points on Earth, or parts of a geographical mass that stretch farther in one direction than in any other.Know more about extremizer point here:
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if the confidence level is 98% and you know the population standard deviation, the critical value is
Answer: 2.326
Step-by-step explanation:
This value is probably given in the chart,
Any statistics chart should include this confidence interval - Z(critical Value) chart,
Given Confidence level 98%, the Critical Value is 2.326
PQR ~MNO. What is the length of side QR?
The length of the QR is 16 cm when PQR ~MNO
In the given question, it is given that two similar triangles as PQR ~MNO
Then, the corresponding sides will be in equal proportion to each other as follows
PQ / MN = PR / MO = QR / NO
We need to find the length of the side QR
As above relations are given,
\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)
\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)
Equating all the fractions, equal to each we'll find
\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)
5x + 7 = 3(x +5)
5x + 7 = 3x + 15
2x = 8
x = 4
We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm
Therefore, the length of the QR is 16 cm when PQR ~MNO
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by selling a cycle for rs 2250 ,the man loses rs 50 ,at what prize he sell to make a profit of rs 80?
Answer:
SELLING PRICE OF CYCLE = 2250RS
LOSS MAN SUFFERED = 50RS
Step-by-step explanation:
COST PRICE = SP + LOSS
CP = 2250 + 50
CP = 2300 RS
FORMULA OF PROFIT = SP - CP
TO MAKE PROFIT OF 80 RS
80 = SP - 2300
SP = 2380 RS
HE SHOULD SELL THE CYCLE AT 2380 TO MAKE PROFIT OF 80 Rs
Thank you
PLEASE MARK AS BRAINLIEST
Answer:
rs 2380
Step-by-step explanation:
→ Add rs 50 to the selling price to not make a profit or loss
2250 + 50 = 2300
→ Add rs 80 to the answer above
80 + 2300 = 2380
PLEASE HELP
which best describes the solution for the equation 0.5(2x+8)=x-4
Answer:
−8Explanation:
First step is to multiply the expression in brackets on the left side by 0.5
0.5(x+8)=x−4
Now we can move the unknown x to left side and the numbers to right side
x+4=x−4
The last equality is false, so the original equation has no solutions.
x−x=−4−40=−8
What is the amount of discount?
Answer:
$3.75
Step-by-step explanation:
give brainliest please
Done<
In the diagram below, AB BC, and mZBCD = 115°. Find mZB.
Statement
B.
what is the answer to
-6k–10=10–10k
Answer:
k=5
Step-by-step explanation:
-6k-10=10-10k
-6k-10=-10k+10
-6k-10=-10k+10
-6k-10+10=-10k+10+10
-6k=-10k+20
-6k=-10k+20
-6k+10k=-10k+20+10k
4k=20 4k/4 = 20/4
k=20/4
k=5
Step-by-step explanation:
Rearrange your terms
-6k - 10 = 10 - 10k - Before
-6k - 10 = -10k + 10 - after rearrange
Then add 10 to both sides-6k - 10 = -10k + 10 - before adding 10
-6k - 10 + 10 = -10k + 10 + 10 - After adding 10
Simplify- add the numbers-6k - 10 + 10 = -10k + 10 + 10
-6k = -10k + 10 + 10
-6k = -10k + 10 + 10
-6k = -10k + 20
-6k = -10k + 20
Add 10k to both sides again-6k = -10k + 20
-6k + 10k = -10k + 20 + 10
Simplify again- combine like terms-6k + 10l = -10k + 20 + 10k
4k = -10k + 20 + 10k
4k = -10k + 10 + 10k
4k = 20
Divide both sides by K4k = 20 = K = 5
4 4
Hope this helped (*^▽^*)
Process time at a workstation is monitored using sample mean and range control charts. Six samples of n = 15 observations have been obtained and the sample means and ranges computed (in minutes) as follows: Sample 1 Range .49 1.41 2 3 Mean 13.30 3.16 3.21 3.30 3.27 3.20 .47 14 5 6 .49 .46 .54 What are the upper and lower limits for sample mean control chart? (Round the intermediate calculations to 2 decimal places. Round the final answers to 2 decimal places.) OLCL = 3.22, UCL = 3.53 OLCL = 3.13, UCL = 3.35 OLCL = 3.32, UCL = 3.64 LCL = 3.04, UCL = 3.42 ОО O It cannot be calculated.
The upper and lower limits for the sample mean control chart are:
UCL = 6.66
LCL = 3.36
To calculate the upper and lower limits for the sample mean control chart, we need to use the given data and formulas.
Sample size (n) = 15
Sample mean values: 13.30, 3.16, 3.21, 3.30, 3.27, 3.20
Range values: 0.49, 1.41, 2, 3, 0.47, 14, 5, 6, 0.49, 0.46, 0.54
First, we calculate the average range (R-bar) using the range values:
R-bar = (Sum of ranges) / (Number of samples)
R-bar = (0.49 + 1.41 + 2 + 3 + 0.47 + 14 + 5 + 6 + 0.49 + 0.46 + 0.54) / 11
R-bar ≈ 2.86 (rounded to 2 decimal places)
Next, we use the average range (R-bar) to calculate the control limits for the sample mean chart:
Upper Control Limit (UCL) = X-double bar + A2 * R-bar
Lower Control Limit (LCL) = X-double bar - A2 * R-bar
Where X-double bar is the average of sample means and A2 is a constant based on the sample size (n). For n = 15, A2 is 0.577.
Calculating the average of sample means (X-double bar):
X-double bar = (Sum of sample means) / (Number of samples)
X-double bar = (13.30 + 3.16 + 3.21 + 3.30 + 3.27 + 3.20) / 6
X-double bar ≈ 5.01 (rounded to 2 decimal places)
Calculating the control limits:
UCL = 5.01 + 0.577 * 2.86 ≈ 5.01 + 1.65 ≈ 6.66 (rounded to 2 decimal places)
LCL = 5.01 - 0.577 * 2.86 ≈ 5.01 - 1.65 ≈ 3.36 (rounded to 2 decimal places)
Therefore, the upper and lower limits for the sample mean control chart are:
UCL = 6.66
LCL = 3.36
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which measurement gives you the difference between the points on the scatterplot and the prediction line for the same value of x?
A. Slope
B. Intercept
C. Residual
D. Correlation coefficient
The measurement that gives you the difference between the points on the scatterplot and the prediction line for the same value of x is the residual. Therefore, the correct answer is C. Residual.
In regression analysis, the residual represents the vertical distance between the observed data points and the corresponding predicted values on the regression line. It is calculated by taking the difference between the actual observed value and the predicted value for a specific value of the independent variable (x). The residuals provide a measure of how well the regression line fits the data, with smaller residuals indicating a better fit.
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Find an equation for the line with slope m=-2/3 and which goes through the point (15,-5)
Answer:
y = -2/3x + 5
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
We know
m = -2/3
b = 5
So, our equation is y = -2/3x + 5
which equations have the same solution
0.3=x-5/13
1.2=x-0.8/4
0.4=x-1.2/8
0.9=x-0.1/5
If the original quantity is 8 and the new quantity
is 2, what is the percent decrease?
If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
How did we figure this out?
For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:
\(\boxed{8-2=6}\\\boxed{6/2=3}\)
We are going to take that 25% and multiply it with 3 to get are final answer.
What is the missing number of 25 and 3?\(\boxed{25*3=75}\\\boxed{So,2=75}\)
Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.