Given data set, The highway mileage (mpg) for a sample of 10 different models of a car company can be found below.23 35 40 45 36 27 21 20 23 28 The mode of the above data set is 23
Midrange is the average of the minimum and maximum data values
Midrange = (min + max) / 2= (20 + 45) / 2= 65 / 2= 32.5
The range of the given data set is the difference between the maximum value and the minimum value. Range = Maximum value - Minimum value= 45 - 20= 25The range rule of thumb for the given data is as follows. Estimate of standard deviation using the range rule of thumb= Range / 4= 25 / 4= 6.25For calculating the standard deviation using the calculator, use the following formula. The standard deviation formula is given by:σ = √((∑(x - μ)²) / n)Where,σ = standard deviationμ = the mean of the datasetn = the total number of observations∑ = symbol that means "sum up
"Using calculator, the calculation for finding the standard deviation can be done as follows. Enter the data on your calculator. Press the statistical symbol "1-VAR" on your calculator. It will show you a list of all the data entered earlier. Enter the data on your calculator. Then press the "STAT" button. Scroll down to the “STD DEV” option and press enter. Then enter the number "1" and press the “enter” button. The calculator will then give you the standard deviation of the data set. Using technology (calculator), the standard deviation of the given data set is found to be 8.66(rounded to 2 decimal places).Hence, The mode is 23The midrange is 32.5The range is 25The estimated standard deviation using the range rule of thumb is 6.25The standard deviation using calculator is 8.66.
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What is the equation of this line in slope intercept form?
−x −5y=10
A y=−1/5x+10y
B y=5x−2y
C y=−1/5x−2y
D y=1/5x+10
C
Step-by-step explanation:
add x on both sides
-5y=10+x
divide both sides by -5
y=-1/5x-2
What is the solution to the inequality -3x - 5 < -20?
Answer: x>5
Step-by-step explanation: Hope this help :D
What are 10 examples of irrational numbers?
Step-by-step explanation:
numbers that can not be written as a fraction
5-6 practice the remainder and factor theorems 5) If f(x) = 3x2 -9x -20, find the value of f(5) using synthetic substitution.
a. 0
b. 10
c. 15
d. -7
6) if f(x) = x3+8x+24, then find f(-2) using synthetic substitution.
a. 12
b. 8
c. 0
d. -6
the value of f(5) is 10, which is option (b) , the value of f(-2) is -12, which is option (d). To find the value of f(5) using synthetic substitution, we first set up the synthetic division table as follows:
5 | 3 -9 -20
|||___
| | |
We write the coefficients of the polynomial in the top row of the table and the root (in this case, 5) outside the division symbol. We then bring down the first coefficient (3) and multiply it by the root to get 15, which we write below the second coefficient (-9). We add 15 and -9 to get 6, which we then multiply by the root to get 30, which we write below the third coefficient (-20). We add 30 and -20 to get 10, which is the remainder. Therefore, the value of f(5) is 10, which is option (b).
6) To find f(-2) using synthetic substitution, we set up the synthetic division table as follows:
-2 | 1 0 8 24
|_|||
| | | |
We write the coefficients of the polynomial in the top row of the table and the root (in this case, -2) outside the division symbol. We then bring down the first coefficient (1) and multiply it by the root to get -2, which we write below the second coefficient (0). We add -2 and 0 to get -2, which we then multiply by the root to get 4, which we write below the third coefficient (8). We add 4 and 8 to get 12, which we then multiply by the root to get -24, which we write below the fourth coefficient (24). We add 12 and -24 to get -12, which is the remainder. Therefore, the value of f(-2) is -12, which is option (d).
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Isabelle runs a restaurant that offers a children's menu. This past week, 20 children ate at her restaurant, and 8 of them ordered grilled cheese. What is the probability that a randomly selected child eating in Isabelle's restaurant this past week ordered grilled cheese?
Write your answer as a fraction or whole number
If the equation of a line is: Y= 200 -3X This line is
downward sloping
upward sloping
vertical
horizontal
Step-by-step explanation:
y = 200 - 3 *x has slope = -3 this is downward sloping from L to R
Answer:downward sloping
Step-by-step explanation:
negative slope
I need help with this can someone give me an answer, please
This graph shows the amount of charge left on my computer, c, after I have been awake for h hours.
How many hours will I have been awake when my computer has no charge left?
Use the sketch tool if it helps you with your thinking.
Based on the graph given above, the hours you will have to be awake when your computer has 0% charge is: 4.5 hours.
How to Interpret a Graph?Analyzing the graph given in the image above, where c represents the amount of charge you have left on your computer, and h represents the number of hours after you have been awake, the graph shows the following:
The unit rate = -30, which means the charge on your computer dropped at 30% per hour.The initial charge on your computer was the y-intercept of the graph, which is 90%.Your computer will have 0% after 4.5 hours that you have been awake (this is the x-intercept of the graph).Therefore, the number of hours you will have been awake for your computer to have no charge left is: 4.5 hours.
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What is the surface area ,in square meters of the toy box
Answer:426m^2
Step-by-step explanation:
a researcher wishes to conduct a study of the color preferences of new car buyers. suppose that 30% of this population prefers the color green . if 16 buyers are randomly selected, what is the probability that at least 4 buyers would prefer green ?
The probability that at least 4 buyers would prefer green is 0.9963.
The researcher wishes to conduct a study of the color preferences of new car buyers.
Suppose that 30% of this population prefers the color green.
If 16 buyers are randomly selected, the probability that at least 4 buyers would prefer green is 0.9963.
Let X be the number of new car buyers who prefer the color green.
X follows a binomial distribution with n = 16 and p = 0.30.
The probability of at least 4 buyers preferring green is:
P(X ≥ 4) = P(X = 4) + P(X = 5) + P(X = 6) + ... + P(X = 16)
Using the binomial probability formula, P(X = k) = (n C k) pk qn-k
where q = 1 - p = 1 - 0.30 = 0.70
Then: P(X ≥ 4) = P(X = 4) + P(X = 5) + P(X = 6) + ... + P(X = 16)
P(X ≥ 4) = [16 C 4](0.30)4(0.70)12 + [16 C 5](0.30)5(0.70)11 + [16 C 6](0.30)6(0.70)10 + ... + [16 C 16](0.30)16(0.70)0= 0.9963
Therefore, the probability that at least 4 buyers would prefer green is 0.9963.
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What’s 3+4
Giving brainleist
Answer:
The answer for this question is 3+4 =7
Step-by-step explanation:
=3+4
=7 answer
Why is Fadil Incorrect ? Help ASAP due in an hour.
Answer: Fadil is wrong because the point shown in the graph is actually (5, 7) (x-intercept is 5 & y-intercept is 7)
Step-by-step explanation:
I think it’s pretty self explanatory ⬆️
Answer:
The ( X,Y ) cordanites are backwards, The 7 and 5 should be switched.
Step-by-step explanation:
note: i dont want to answer the question below i want you to
explain only my questions i will ask now...
b1=10
62=8
b3-a=15
b3-b=10
b4=9
i want to ask... now in question i want to
calculate
The given information consists of a series of equations involving variables b1, b3, and b4, as well as the constant values 8, 9, and 10. The objective is to calculate the value of b3.
To find the value of b3, we need to analyze the given equations and use algebraic techniques to solve for the unknown variable.
From the equations given, we can observe that b1 = 10, b4 = 9, and 62 = 8. These values provide fixed points of reference.
Next, we examine the equations involving b3. We have two equations: b3 - a = 15 and b3 - b = 10. However, there is no information provided about the values of a and b. Without additional information or constraints, we cannot determine the specific value of b3.
It is important to note that the solution to the problem depends on having all the necessary information or additional equations that can be used to solve for the unknowns. In this case, the lack of information about the values of a and b prevents us from calculating the exact value of b3.
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explain, giving two reasons,when a person is entitled to claim for UIF benefits
Two reasons when a person is entitled too access the Unemployed Insurance Fund are:
When a worker becomes unemployed within 6 months of losing their job.Dependents of a deceased contributor.What is the Unemployed Insurance Fund (UIF)?The unemployed insurance fund (UIF) is described as a short-term relief given to workers who are unable to work or when they become unemployed due to several reasons. In addition, the fund (UIF), can also be accessed by dependents of a deceased contributor.
Therefore, two reasons when a person is entitled too access the Unemployed Insurance Fund are:
When a worker becomes unemployed within 6 months of losing their job.Dependents of a deceased contributor.Learn more about unemployed insurance fund (UIF) on:
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Classify the relationship between the pair of angles:
3 and 12
alternate exterior
alternate interior
consecutive interior
corresponding
Answer:
Consecutive Interior
Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown.
Which steps would prove the circles similar?
A) Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4.
B) Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4.
C) Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
D) Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.
Answer:
C) Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
Step-by-step explanation:
To prove that two circles are similar:
Center the smaller circle on the larger circle so that the two circles share a common center point.Identify the scale factor of dilation needed to increase the smaller circle to the size of the larger circle by dividing the radius of the larger circle by that of the smaller circle.From inspection of the given diagram:
Radius of Circle X = 6 unitsRadius of Circle Y = 2 unitsTherefore, the scale factor of dilation is:
\(\implies \sf Scale \; factor =\dfrac{6}{2}=3\)
Therefore, the steps that prove circles X and Y are similar:
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.There are $4 each and 40 of them. How much money would you save with a deal of buy 4 get 1 free as opposed to buy 9 get 2 free
Assuming that the regular price for each item is $4 and there are 40 items in total, the deal of buy 4 get 1 free would save $32 compared to the deal of buy 9 get 2 free.
To calculate the amount saved with each deal, we first need to determine how many free items we would receive with each deal. With the buy 4 get 1 free deal, for every 5 items purchased, 1 item is free. This means that we would receive a total of 8 free items (40/5 = 8). With the buy 9 get 2 free deal, for every 11 items purchased, 2 items are free. This means that we would receive a total of 7.27 free items (40/11*2 = 7.27).
With the buy 4 get 1 free deal, we would pay for a total of 32 items (40 - 8 free items). This would cost a total of $128 (32 x $4). With the buy 9 get 2 free deal, we would pay for a total of 32.73 items (40 - 7.27 free items). This would cost a total of $130.92 (32.73 x $4). Therefore, the buy 4 get 1 free deal would save us $2.92 compared to the buy 9 get 2 free deal.
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Which situation would not be represented by the integer -5?
There is a temperature of 5°.
You owe $5.
There is a hole 5 feet deep.
There is a 5-yard penalty.
Answer:
A
Step-by-step explanation:
It is talking about a positive number
Answer:
a
Step-by-step explanation:
what is the solution set to three parallel lines
Answer:
null
Step-by-step explanation:
they never intersect, cuz they are parallel
Answer:
lebron james to the 2nd power.
Step-by-step explanation:
Luca pays $165 per month for his car loan and an average of $2.30 per gallon of gas. He wants to keep his car expenses under $300 per month. Write and solve an inequality to find the greatest number of gallon "g", Luca can drive in a month while staying within his budget?
Answer:
58.69 gallons is the maximum she can get.
Step-by-step explanation:
165 + 2.3g ≤ 300
subtract 165 from both sides
2.3g ≤ 135
divide by 2.3 on both sides
g ≤ 58.6956521739
a mountain is 6,874 feet above sea level whereas a nearby valley is 280 feet below sea level. determine the elevation difference between the height of the mountain and the height of the valley. the difference between the two heights is feet.
The difference in elevation between the height of mountain and height of valley measuring from sea level is equal to 6594 feet.
Since it is given that the height of mountain from the sea level is 6874 feet and the height of valley is 280 feet. Therefore to calculate the difference in elevation, the heights will be subtracted from one another to get a value which will show the elevation. Since both the heights are measured from the sea level which is taken as constant, so no extra calculations will be needed.
Elevation difference = Height of mountain - height of valley
Elevation difference = 6874 - 280 = 6594 feet
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The ratio of the perimeters of two similar polygons is 5:9. What is the ratio of the areas?
what is the product of -5 and-8 answers are -40
-13. 13. 40
Answer: 40
Step-by-step explanation: -5 x -8 is 40 since the negatives cancel each other out, the product is positive :)
Answer:
hello:
your answer you desire, I shall give away, to the sire, but dare not there is a price to pay, answer the riddle:
What is the product of –5 and –8?
I answer indeed, for it is 40!
Sorry I just thought that would be funny, but your answer is 40!
Hope this helps!!
I took a quiz with this question.
Step-by-step explanation:
Sean has a spinner and a bag of marbles. The spinner is evenly divided into 8 sections. The bag is filled with 6 different colored marbles.
Sean will spin the spinner and randomly select a marbles. How many possible outcomes does Sean have?
A. 14
B. 28
C. 36
D. 48
Please help and show work
Answer:
254.34 in²
Step-by-step explanation:
The diameter is 18, so the radius is 9. The formula for circumference is \(\pi r^{2}\). 9 squared is 81. 81 x 3.14 is 254.34.
Hope it helps!
What is 22.3 rounded to the nearest hundred
Answer:
100
Step-by-step explanation:
Answer:
There isn't a hundredth decimal in the number 22.3
22.3 the three is a tenth but there is not a hundredth decimal
McDonald’s and Wendy’s offer two deals on chicken nuggets. McDonald’s offers 5 chicken nuggets for $2.00. Whereas Wendy's offers 8 chicken nuggets for $3.50. At which fast food restaurant is each chicken nugget cheaper? Math
Answer:
wendy's
Step-by-step explanation:
Answer: McDonalds is Better
Step-by-step explanation:
So 2.00 dollars for 5 chicken nuggets each nugget equals to about 40 cents each per nugget is 40 cents now with Wendy's lets say the same amount of cents equals the same as 1 nugget for an extra 1.50 you get an extra 3 nuggets which means McDonalds is better because since each nuggets cost about 40 cents that only equals to 1.20 which means they are adding an extra of possible 5 to 7 cents on each nugget hence more expensive thus McDonalds is better.
which of the following statements regarding the normal distribution is not true? it is bimodal it is symmetric around the mean the mean, median, and mode are all equal it is asymptotic
The statement that the normal distribution is bimodal is not true. The normal distribution is a unimodal distribution, meaning it has only one mode. It is symmetric around the mean, and the mean, median, and mode are all equal.
Additionally, the normal distribution is asymptotic, meaning that the tails of the distribution approach but never touch the horizontal axis. The normal distribution is a bell-shaped curve that is widely used in statistics and probability theory to describe real-world phenomena such as the heights of people, test scores, and IQ scores. The properties of the normal distribution make it a useful tool for modeling data, making predictions, and conducting hypothesis tests.
By understanding the normal distribution, statisticians and data analysts can better understand the patterns and trends in their data and make informed decisions based on that understanding.
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1) In constructing a confidence interval for the mean age of students would you use
the normal distribution or the t-distribution to compute the critical value for the margin of error computation?
Explain your reasoning below.
We use the normal distribution when the population standard deviation is known, and we use the t-distribution when the population standard deviation is unknown.
Whether to use a normal distribution or a t-distribution to compute the critical value for the margin of error computation in constructing a confidence interval for the mean age of students depends on whether the population standard deviation is known or unknown.
If the population standard deviation is known, then we use the normal distribution to compute the critical value for the margin of error computation. This is because the sampling distribution of the sample mean is approximately normal by the Central Limit Theorem. In this case, we can use the known population standard deviation to calculate the standard error of the mean and the critical value for the margin of error computation.
On the other hand, if the population standard deviation is unknown, then we use the t-distribution to compute the critical value for the margin of error computation. This is because the sample standard deviation is used as an estimate of the population standard deviation, which introduces some additional variability. In this case, we use the t-distribution to account for this extra variability.
The t-distribution has fatter tails compared to the normal distribution, which means that it accounts for the additional variability introduced by using the sample standard deviation instead of the population standard deviation. As the sample size increases, the t-distribution approaches the normal distribution, and we can use the z-distribution instead.
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Find the values of x and y
Answer:
X=20
Y=70
Step-by-step explanation:
All angles within a triangle add up to 180
180 - 40 = 140
140 is the top angle of the big triangle
140 + x + x = 180
x = 20
Now use x to find y by subtracting from the right angle (90 degrees)
90 - 20 = 70
70 + 40 + y = 180
Y = 70