what is the standard deviation

Answer:

-3

Step-by-step explanation:

The top left box on the x axis is negitive 3

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

I cannot do the math on this but the answer equals to 4 and 1/14

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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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 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).

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)

The location which is in the region for plants receiving the maximum amount of water is "(-3,-1)". The Option A is correct.

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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The system of linear equations represented on the graph will be no solution. Then the correct option is C.

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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Answer:

21

Step-by-step explanation:

Midpoint means the middle, so all you have to do is divide 42 by 2 :)

Answer:

x = 2 2/3

Step-by-step explanation:

(1/3)/(1/8) = 2 2/3

Answer:

multiply 6:8 by 2

12:16

Answer:

Step-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

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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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

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

hope it helps :)

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Answer: x = 138

Step-by-step explanation:

\(108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138\)

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:

Answer:

Step-by-step explanation:

Expresión x--12.5*y-612*x-3*y-2 = 9.5*y-611.0*x-2.0

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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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)

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:

\(6\cdot 9\cdot 14=\fbox{$\mathrm{A. \:756\:in^3}$}\).

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)

Answer:

D) -21.5

Step-by-step explanation:

The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.

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:

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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Answer:80

Step-by-step explanation:

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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Answer:

Step-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.