Answer:
The Standard Deviation is a measure of how spread out numbers are.
Its symbol is σ (the greek letter sigma)
The formula is easy: it is the square root of the Variance. So now you ask, "What is the Variance?"
Variance
The Variance is defined as:
The average of the squared differences from the Mean.
To calculate the variance follow these steps:
Work out the Mean (the simple average of the numbers)
Then for each number: subtract the Mean and square the result (the squared difference).
Then work out the average of those squared differences. (Why Square?)
Step-by-step explanation:
How many solutions can be found for the system of linear equations represented on the graph?
A infinitely many solutions
B one solution
C no solution
D two solutions
The system of linear equations represented on the graph will be no solution. Then the correct option is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equations are given below.
y = -(1/2)x + 4 ...1
y = -(1/2)x - 6 ...2
The slope of the lines are equal but have different intercepts then the system has no solution.
The system of linear equations represented on the graph will be no solution. Then the correct option is C.
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Plssss help I will die:(
Answer:
21
Step-by-step explanation:
Midpoint means the middle, so all you have to do is divide 42 by 2 :)
Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
Find the volume of the figure. Round your answer to two decimal places, if needed
Answer:
\(\mathrm{A. \:756\:in^3}\)
Step-by-step explanation:
The volume of a rectangular prism can be represented by \(l\cdot w\cdot h\). The dimensions of this prism are 6x9x14.
Therefore the volume of this prism is:
\(6\cdot 9\cdot 14=\fbox{$\mathrm{A. \:756\:in^3}$}\).
m∠1=57°, m∠4=85°, m∠6=12°. Find m∠EAN.
Answer:
m∠EAN =154°
Step-by-step explanation:
m∠EAN = m∠1 + m∠4 + m∠6
as given in figure we can see that m∠EAN constitute three angles angle 1, 4 and 6
hence m∠EAN will be sum of these three angles.
Given
m∠1=57°, m∠4=85°, m∠6=12°.
m∠EAN = 57° + 85° + 12° = 154° (answer)
a 50 litre ice cream bucket is to be emptied in 750 ml ice cream term find the number of tubs
required
Answer:
Quantity of ice cream = 50 litre
Quantity of ice cream contained in one ice cream tub = 750 ml
1 litre = 1000 mL
Quantity of one ice cream tub in litres = 0.75 litres
we need to calculate the number of ice cream tubs filled by using 50 litres of ice cream
Number of ice cream tubs filled = 66 tubs 500 ml
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A lunch menu consists of 6 different sandwiches, 4 different soups, and 4 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?
Which location is in the region for plants receiving the
maximum amount of water?
O (-3,-1)
O (-7,1)
O (1,-5)
O (2, 1)
The location which is in the region for plants receiving the maximum amount of water is "(-3,-1)". The Option A is correct.
What determines maximum amount of water reaching a plant?Water flows into the open pore spaces in the soil by gravity, and the size and spacing of the soil particles determine how much water can flow in. Because coarse soils have larger pore spacing at the soil surface, they have a higher infiltration rate than fine soils.
Based on the graph, we observed that the point of location in which is in the region for plants receiving the maximum amount of water is the point (-3,-1). Therefore, we agree that Option A is correct.
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First Bank of Springdale operates a one-lane drive-in ATM machine. Cars arrive according to a Poisson distribution at the rate of 12 cars per hour. The time per car needed to complete the ATM transaction is exponential with mean 6 minutes. The lane can accommodate a total of 10 cars. Once the lane is full, other arriving cars seek service in another branch. Determine the following:(a) The probability that an arriving car will not be able to use the ATM machine because the lane is full.(b) The probability that a car will not be able to use the ATM machine immediately on arrival.(c) The average number of cars in the lane.
Answer:
a) 0.19
b) 0.9689
c) ≈ 6 cars
Step-by-step explanation:
Rate at which cars arrive = 12 cars/hour = 1/5 cars/minute
time needed by each car to complete ATM transaction = 6 minutes = 1/6 car/minute
capacity of lane = 10 car
n = 10
a) Calculate the probability of an arriving not using the ATM because the line is full
p ( not using the ATM ) = 0.19
b) probability that a car will not be able to use the ATM machine immediately on arrival
P ( n > 0 ) = 1 - Po
= 1 - 0.0311 = 0.9689
c) Average number of cars in the lane
Lq = 5.74 ≈ 6 cars
attached below is the detailed solution
the receipt you are using indicate that a mixture should be heated to a temperature of 132F.The mixture is currently at 109F. how many more degrees d does the mixture need to be heated
The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.
How much must the receipt be heated to be at recommended temperature?
Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.
Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:
ΔT = R - r
Where:
ΔT - Temperature difference, in degrees Fahrenheit.r - Real temperature, in degrees Fahrenheit.R - Expected temperature, in degrees Fahrenheit.If we know that r = 109 °F and R = 132 °F, then the temperature difference is:
ΔT = 132 °F - 109 °F
ΔT = 23 °F
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Apply the distributive property to factor out the greatest common factor.
24+32p= _____
Answer:
8(3+4p)
Step-by-step explanation:
8 goes into 24 and 32, so it can be factored out:
\(24+32p=8(3+4p)\)
Answer:
8(3 + 4p)
Step-by-step explanation:
Factor 24 + 32p
First, factor out the GCF. In this case, the GCF is 8, and we have
8(3 + 4p)
We can't factor anymore so the answer is 8(3 + 4p)
The point-slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
y+2=-2(x-5)
What is the equation in slope-intercept form?
O y=-2x+12
O y=-2x+8
O y=-22-7
O y=-2x-3
Savait
Answer:
y = -2x + 8Step-by-step explanation:
The equation in slope-intercept form: y = mx + b
y + 2 = -2(x - 5)
y + 2 = -2x + 10 {subtract 2 from both sides
y = -2x + 8
Select the correct answer.
Which number has a repeating decimal form?
A. 15
B. 11/25
C.3/20
D.2/6
Answer:
2/6
Step-by-step explanation:
15 isn't a decimal number
11/25=0.44 not recurring (not repeating)
3/20=0.15 not recurring (not repeating)
2/6=0.333333 recurring
so the answer is D
Ronald is walking at a rate of 3 miles per hour. If he walks for 2 hours and then runs at a rate of 6 miles per hour for another 1 hour, how far did Ronald travel in total?
Answer:
12Step-by-step explanation:
Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.
Identify the null and alternative hypotheses for the following problems.
a. The manager of a restaurant believes that it takes a customer less than or equal to 25 minutes to eat lunch.
b. Economists have stated that the marginal propensity to consume is at least 90¢ out of every dollar.
c. It has been stated that 75 out of every 100 people who go to the movies on Saturday night buy popcorn.
The null hypothesis is it takes a customer less than or equal to 25 minutes to eat lunch.
The alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.
What is null and alternate hypothesis?
The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. The alternative hypothesis is one of the suggested hypotheses in statistical hypothesis testing.
We are given a statement,
The manager of a restaurant believes that it takes a customer less than or equal to 25 minutes to eat lunch.
According to null hypothesis, There is no difference or change
Hence the null hypothesis is, it takes a customer less than or equal to 25 minutes to eat lunch.
Where as in alternate hypothesis, There should be a difference of change
Hence the alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.
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If a = -2i and b = 5-5i, then find the value of the a³b in fully simplified form.
Answer:80
Step-by-step explanation:
everything else being equal, explain why you usually would prefer an unbiased estimator to a biased estimator.
Everything else is being equal, but we prefer an unbiased estimator mostly compare to a biased estimator because a biased estimator may be used for a variety of reasons, such as the difficulty of computing an unbiased estimator (as in the case of estimating standard deviation).
The fact that a biased estimator may be unbiased with respect to different measures, and the fact that an unbiased estimator does not exist without further assumptions about a population. Thus, it's miles scientifically now no longer accurate to apply a biased estimator for a parameter while there may be an independent estimator for it.
Only in unavoidable situation, it's miles cautioned to apply a biased estimator (which need to be consistent) for a parameter while there may be no independent estimator for it. It could be anticipated that a terrific estimator need to bring about an estimate this is near the real cost of the parameter. Because in exercise the parameters are unknown, it isn't always viable to evaluate the estimate with the real cost. Unbiasedness serves as a degree of closeness among an estimator and the parameter.
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Review Seth’s steps for rewriting and simplifying an expression.
Seth's first mistake was made in (blank)
Step 1, Step 2, Step 3, Step 4, or Step 5
where he (blank)
Factored 16 out of the second term instead of 4
Did not apply the properties of exponents correctly
Factored 2 out of the first term instead of 4
Did not write the expression as division correctly
Answer:
Factored 16 out of the second term instead of 4
Did not apply the properties of exponents
Step-by-step explanation:
Given the expression :
8x^6 √200x^13 ÷ 2x^5√32x^7
STEP 1:
8x^6 √(25*4*2*(x^6)^2*x) ÷ 2x^5√16*2*(x^3)^2 *x
Step 2:
8*2*5*x^6√2x ÷ 2*4*x^5*x^3√2x[correct expression]
80x^12√2x ÷ 8x^8√2x
(80x^12√2x ) / (8x^8√2x)
10x^(12 - 8)
= 10x^4
The square root of 16 is 4 ;
Hence 4 should be factored out of the second term instead of 16
Answer: the mistake was in step 2 then: factored 16 out of the second term instead of 4
Step-by-step explanation:
23 points see attachment below
Answer:
-3
Step-by-step explanation:
The top left box on the x axis is negitive 3
Given the function f(x) = 4 - 2x: If the domain is {-4,0, 5), find the range.
A)
{-4, 4,-6)
B)
{-4, 4, 14)
C)
{12, 4, -6}
D)
{12, 4, 14)
Answer:
C) -4,4,-6
Step-by-step explanation:
domain is x so plug the domain numbers into the function
4-2(-4)=12
4-2(0)=4
4-2(5)=-6
Therefore Range is (-4,4,-6)
Which value for X makes the sentence true 1/8 X equals 1/3
Answer:
x = 2 2/3
Step-by-step explanation:
(1/3)/(1/8) = 2 2/3
PLEASE ANSWER THIS QUESTION IS IN THE IMAGE!! DUE TODAY!
20 POINTS!
I cannot do the math on this but the answer equals to 4 and 1/14
Samantha has 7/3 cups of ice cream to make milk shake.Each shake uses 1/8 cup of ice cream. How many milk shakes can she make?
Question:
(a) Find the equation for the family of linear functions with slope 2 and sketch several members of the family.
(b) Find an equation for the family of linear functions such that f(2)=1 and sketch several members of the family.
(c) Which functions belong to both families?
Slope-intercept form
Equation of slope-intercept form is given as y=mx+b where m is the slope of the line and c is the y-intercept. m is used to measure the steepness of the graph. This form is simply the method of writing the equation of a line so that the slope and y-intercept are rapidly apparent.
For a family of linear functions with slope 2, the equation is y = 2x + b, where b is the y-intercept. For a family of linear functions such that f(2) = 1, the equation is y = x + b, where b is the y-intercept. Both families of linear functions have the same equation, y = x + b, and all functions belonging to both families have a slope of 1 and a y-intercept of b.
(a) The equation for the family of linear functions with slope 2 is y = 2x + b, where b is the y-intercept. To sketch several members of the family, plot several points (x, y) with the equation, then connect the points to form a line.
(b) The equation for the family of linear functions such that f(2) = 1 is y = x + b, where b is the y-intercept. To sketch several members of the family, plot several points (x, y) with the equation, then connect the points to form a line.
(c) The equation for both families of linear functions is y = x + b, where b is the y-intercept. All functions belonging to both families have a slope of 1 and a y-intercept of b.
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Select all that apply.
Which of the following ratios are equlvalent to 6:8?
24:36
9:12
12 to 16
16 to 24 36/40 15/20
Answer:
multiply 6:8 by 2
12:16
SOMEONE ANYONE PLEASE HELP!!!
The graph of g(x) is obtained from the graph of f(x) by the following transformations:
- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).
- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).
In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.
Here is a more detailed explanation of the transformations:
- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).
- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).
1. BOWLING Brooke went bowling with her friends. She bowled 3 games, and
her average score for those games was 121. She had 117 her first game and
108 her second game. Write and solve an equation to find g, the score of
her third game.
pls show your work
Answer: x = 138
Step-by-step explanation:
\(108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138\)
Evaluate the expression when x-=12.5 and y=6 12x-3y^2
Answer:
Step-by-step explanation:
Expresión x--12.5*y-612*x-3*y-2 = 9.5*y-611.0*x-2.0
Which value is furthest from 0 on the number line?
A) |20.5|
B) 20
C) -- 21
D) | − 21.5|
Answer:
D) -21.5
Step-by-step explanation:
URGENT A bakery wanted to make their muffins more uniform in size. They reworked their equipment to do so. To test the changes, they made 25 muffins then measured each one. Which of the following should they use to determine whether or not the equipment changes worked?
Select one:
a.
mean
b.
mode
c.
range
d.
interquartile range
The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.
The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.
Here's how they can use the range to evaluate the effectiveness of the equipment changes:
Collect the measurements of all 25 muffins.
Determine the maximum and minimum measurements.
Calculate the range by subtracting the minimum measurement from the maximum measurement.
If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.
Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
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