The exponential function h whose graph is given below, can be written as h(x)=a*b^x Complete the equation for f(x)

Note that the UCLr the correct upper control limit is 29.210 (Option B) See the attached excel calculation and the related graph.

When samples are taken at regular intervals from an industrial or commercial process, the "bar x and R chart," also known as a control chart, is a form of scheme used in statistical process control to concurrently monitor the mean and range of a normally distributed variable.

A sample value is regarded to be a specific source of variation when it exceeds the upper control limit. The upper limit of the common cause variation is also defined using it.

To derive the UCLr, execture the following:

UCLr = (Sum of Range (r)/Total Sample) * D4

Sum of range is = 192

Total Sample = 15
D4 = 2.282

Note that D4 is a control chart constant that is used to compute the upper control limit for range. The value depends on the number of items in the subgroup.

In this case, the number of observations int he subgroup (that is Box Weight) is 4.

Hence;

UCLr = (192/15) * 2.282
UCLr = 29.2096
UCLr [tex]\approx[/tex] 20.210

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The figure that satisfies the condition of the net  for the rectangular prism is the figure in the option at the bottom right of the screen.

A rectangular prism is a three dimensional figure consisting of six rectangular shaped faces, with the pair of opposite faces parallel to each other.

The net for the rectangular prism is one that can be folded to produce the rectangular prism.

The net of the rectangular prism will have the faces with the longest sides penultimate to each other.

The figure that satisfies the condition of the faces with the longest sides being separated by another side in between is the figure on the bottom right of the the screen. Please find attached

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Answer:

the answer is D.

Step-by-step explanation:

Answer: (3,2)

Step-by-step explanation:

There are 3 weeks and 2 ponchos

Step-by-step explanation:

3^2x = 11

we take the logarithm (to the base of 3) of both sides.

log3(3^2x) = log3(11)

2x = log3(11) = log(11)/log(3)

x = log(11)/log(3) / 2 = log(11)/(2×log(3)) =

= 1.091329169... ≈ 1.09

Answer:

3^2x = 11

we take the logarithm (to the base of 3) of both sides.

log3(3^2x) = log3(11)

2x = log3(11) = log(11)/log(3)

x = log(11)/log(3) / 2 = log(11)/(2×log(3)) =

= 1.091329169... ≈ 1.09

Step-by-step explanation:

Margo will pay $22 in interest after 6 months.

Margo borrows $1,100 and agrees to pay it back with a 4% annual interest rate after 6 months. To calculate the interest she will pay, follow these steps:

1. Convert the annual interest rate to a decimal: 4% = 0.04.
2. Calculate the interest for one year: Principal x Annual Interest Rate = Interest for One Year. In this case: $1,100 x 0.04 = $44.
3. Since Margo is paying the loan back after only 6 months, we need to find the interest for half a year. To do this, simply divide the interest for one year by 2: $44 ÷ 2 = $22.

So, Margo will pay $22 in interest after 6 months.

In summary, Margo borrows $1,100 at a 4% annual interest rate. We first convert the interest rate to a decimal (0.04) and find the interest for one year by multiplying the principal by the annual interest rate ($1,100 x 0.04 = $44). Finally, we calculate the interest for 6 months by dividing the one-year interest by 2 ($44 ÷ 2 = $22). Therefore, Margo will pay $22 in interest after 6 months.

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Answer:

[tex]P = 20.4 in[/tex], [tex]A = 22.4 in^2[/tex]

Step-by-step explanation:

P = 2l + 2w

A = lw

For this figure l = 7in and w = 3.2 in

P = 2l + 2w

P = 2(7) + 2(3.2)

P = 14 + 6.4

P = 20.4 in

A = lw

A = 7 x 3.2

A = 22.4 in^2

Answer:

70%

Step-by-step explanation:

you do it

The equivalent expressions of the expression  (3/4)x-1 are (3x/4) - 1, 3x/4 - 4/4 and 0.75x - 1

The given expression is (3/4)x-1

Three divided by four times of x minus one

We have to find three equivalent expressions of given expression

Equivalent expressions are expressions that work the same even though they look different.

(3x/4) - 1

3x/4 - 4/4

and 0.75x - 1 are equivalent expressions

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The value of the angle in the given interval is; θ = 180°

We are given the trigonometric problem as:

5 sec θ + 5 = 0

Now, the values must be on the interval:

0° ≤ θ < 360°

We know that sec θ = 1/cos θ

Thus:

5/cos θ + 5 = 0

5/cos θ = -5

cos θ = -5/5

cos θ = -1

θ = cos⁻¹-1

θ = 180°

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Answer:

The answer is 13 to the nearest gallon

Step-by-step explanation:

1litre =0.264gallon

50litre=x

x×1=50×0.264

x=13.2gallon

x=13 to the nearest gallon

Answer:

1.1 is the square root number

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the answer you find the sqrt of 1.21 then add the number i to the end.

[tex]\sqrt{-1.21} =\\\sqrt{-1.21} = 1.1 * i\\\sqrt{-1.21} = 1.1 i\\[/tex]

The real number root is 1.1 or the number without the i

A system of inequalities that describes all the given conditions include the following:

y ≥ -1.42x + 7.50

x ≥ 2

y ≥ 2

In order to write a system of inequalities to describe this situation, we would assign variables to the number of ads in magazine V and the number of ads in magazine E respectively, and then translate the word problem into a linear equation as follows:

Since Joyce estimated that each one-page ad in magazine V would be read by 1.7 million people and each one-page ad in magazine E would be read by 1.2 million people and she wishes to reach at least 9 million readers and to place at least 2 ads in each magazine, a system of inequalities which can be used to model the situation is given by;

1.7x + 1.2y ≥ 9

1.2y ≥ -1.7x + 9

y ≥ -1.7x/1.2 + 9/1.2

y ≥ -1.42x + 7.50

x ≥ 2

y ≥ 2

Next, we would use an online graphing calculator to plot the above system of linear equations in order to determine its solution as shown in the graph attached below.

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Answer:

-1/4

Step-by-step explanation:

you can use equation

-5/4 - x = -1

on solving

value of x is -1/4

The minimum sample size required to construct a 95% confidence interval for the population mean of tennis ball circumferences with a maximum error of estimate of 0.05 inch, assuming a population standard deviation of 0.10 inch, is 62.

To find the minimum sample size required to construct a 95% confidence interval for the population mean, we can use the formula:

n = (z*σ / E)^2

where:

n = sample size

z = z-score for the desired confidence level (95% confidence level corresponds to a z-score of 1.96)

σ = population standard deviation

E = maximum error of estimate, which is half the width of the confidence interval (in this case, 0.05/2 = 0.025)

Substituting the given values, we get:

n = (1.96 * 0.10 / 0.025)²

n = 61.44

Rounding up to the nearest whole number, we get a minimum sample size of 62.

Therefore, the minimum sample size required to construct a 95% confidence interval for the population mean of tennis ball circumferences with a maximum error of estimate of 0.05 inch, assuming a population standard deviation of 0.10 inch, is 62.

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Answer:

where??

Step-by-step explanation:

1) 9 × 1 × 4

2) 1 × 4 × 0 = 1 × 4 × 0

3) 8 + 9 = 3 + 11

4) 8 + 7 + 2 = 20 ÷ 2 + 7

By creating and solving various equation-:(A) x + y + z = 24, x(8000) + y(16000) + z(24000) = 520000. (B) x = 8, y = 8, z = 8. (C) Solution with 8 tank cars of each capacity minimizes the monthly leasing cost at $15,800.

Cost refers to the monetary value of goods, services or resources that are used or consumed to achieve a particular goal or objective.

An equation is a mathematical statement that asserts that two expressions are equal. It contains variables, coefficients, and mathematical operators.

According to the given information:

(A) Let x be the number of 8,000 gallon tank cars, y be the number of 16,000 gallon tank cars, and z be the number of 24,000 gallon tank cars. The total carrying capacity can be expressed as:

8000x + 16000y + 24000z = 520000 ... (1)

Since we have a total of 24 tank cars, the total number of tank cars can be expressed as:

x + y + z = 24 ... (2)

(B) To solve this system of equations, we can use substitution. Solving equation (2) for x, we get:

x = 24 - y - z

Substituting this expression for x into equation (1), we get:

8000(24 - y - z) + 16000y + 24000z = 520000

Simplifying this equation, we get:

8000y + 16000z = 200000

Dividing both sides by 8000, we get:

y + 2z = 25 ... (3)

We can use equations (2) and (3) to solve for y and z:

y = 25 - 2z, x = 24 - y - z

Substituting these expressions into equation (1), we get:

8000(24 - (25 - 2z) - z) + 16000(25 - 2z) + 24000z = 520000

Simplifying this equation, we get:

16000z = 160000

z = 10

Substituting z = 10 into y = 25 - 2z and x = 24 - y - z, we get:

y = 5, x = 9

Therefore, the solution is x = 9, y = 5, and z = 10.

(C) To minimize the monthly leasing cost, we need to calculate the total cost for each solution and choose the one with the lowest cost. The monthly leasing cost can be expressed as:

450x + 650y + 1150z

Substituting x = 9, y = 5, and z = 10, we get:

450(9) + 650(5) + 1150(10) = $28,350

Therefore, the solution that minimizes the monthly leasing cost is x = 9, y = 5, and z = 10, with a monthly leasing cost of $28,350.

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Radon having a half-life of about 4 days, after 15 days, 51.061 millirems of a 687 mrem sample will remain.

We know the half life formula,

[tex]N(t) = N_{o}\ (\frac{1}{2} ) ^{t/t_{1/2}[/tex],

where, N(t) = quantity of the substance remaining

[tex]N_{o}[/tex] = Initial quantity of the substance

t = time elapsed

[tex]t_{1/2}[/tex] = half life of the substance

Given,

Initial quantity ([tex]N_{o}[/tex]) = 687 mrem

Time elapsed (t) = 15 days

Half life ([tex]t_{1/2}[/tex] ) = 4 days

Hence, N(t) =  [tex]687 \ (\frac{1}{2}) ^{15/4}[/tex]

⇒ N(t) = [tex]687\ (\frac{1}{2} )^{3.75}[/tex]

⇒ N(t) = 51.061

Therefore, the remaining amount of the radon sample after 15 days is 51.061 mrem.

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Answer:

Let x = smaller number and

y = larger number.

x + y = 42

x + 4y = 147

----------------

3y = 105

y = 35, so x = 7

The numbers are 7 and 35.

7 + 4(35) = 7 + 140 = 147

To determine the minimum weight of a packet of candy with a z-score of -0.6, we need to use the formula:

z = (x - μ) / σ

where:

z = -0.6 (given)

μ = 72g (given)

σ = sqrt(16g) = 4g (since variance = standard deviation squared)

Substituting the values in the formula, we get:

-0.6 = (x - 72) / 4

Multiplying both sides by 4, we get:

-2.4 = x - 72

Adding 72 to both sides, we get:

x = 69.6g

Therefore, the minimum weight of a packet of candy with a z-score of -0.6 is approximately 69.6g (rounded to the nearest tenth).

The proportion to determine the pay increase of Jan is 25/x = 27.50/y , where x is the current year and y is the next year

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

Let the amount Jan makes this year ( x ) be = $ 25

And , Next year, she will make an additional $2.50 per hour

Let the amount Jan makes next year ( y ) be = $ 27.50

On simplifying the proportion , we get

25/x = 27.50/y

Hence , the proportion is 25/x = 27.50/y

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Answer:

To solve for FD, we can use the property of similar triangles, which states that corresponding sides of similar triangles are in proportion. Specifically, we can use the ratios of corresponding sides of triangle ABC and triangle DEF:

AB/DE = BC/EF = CA/FD

Plugging in the given values, we get:

11/2.2 = 7.9/EF = 7.6/FD

Simplifying the middle ratio, we get:

EF = (2.2 x 7.9)/11 = 1.58

Now we can solve for FD by rearranging the third ratio:

7.6/FD = 11/2.2

FD = (2.2 x 7.6)/11 = 1.52

Therefore, FD = 1.52 (to two decimal places).

Step-by-step explanation:

The length of side FD is 1.58 .

Given,

Triangle ABC ~ Triangle DEF

So,

Property of similar triangles, which states that corresponding sides of similar triangles are in proportion.

Specifically, we can use the ratios of corresponding sides of triangle ABC and triangle DEF:

AB/DE = BC/EF = CA/FD

Substitute the given values, we get:

11/2.2 = 7.9/EF = 7.6/FD

Simplifying the middle ratio, we get:

EF = (2.2 x 7.9)/11 = 1.58

Now we can solve for FD by rearranging the third ratio:

7.6/FD = 11/2.2

FD = (2.2 x 7.6)/11 = 1.52

Therefore, FD = 1.52

Hence option 2 is correct .

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The distribution with the largest standard deviation is option 4: 1, 4, 4, 4, 4, 4, 4, 4, 4, 7.

The reason for this is because it has the greatest spread of numbers, with both a low value of 1 and a high value of 7, and a larger number of values further from the mean of 3.8.

However, it would be necessary to confirm this as it's is just an assumption

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y² = 2x - 2 is not a function since the one value of x related to more than one values of y via this given relation.

A relation is called a function only if it is well defined that is each input value that is each value of x is related to only one output value that is the value of y.

Here given the relation is y² = 2x - 2

So, either y = + √(2x - 2) or y = - √(2x - 2)

For suppose one value of x is, x = 3.

y = + √(2*3 - 2) = + √(6 - 2) = + √4 = + 2

y = - √(2*3 - 2) = - √(6 - 2) = - √4 = - 2

So here one input value x = 3 is related to two values of y that are y = -2, +2 via the relation y² = 2x - 2.

Hence, y² = 2x - 2 is not a function.

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The statement is true for all real numbers x and y, and the true set VXEY is the set of all real numbers.

The truth value of the statement "∀x∃y (Y ∧ 2x² + y ≤6)" is determined by the domain of x and y.

Assuming that x and y are real numbers:

The truth value of the statement is where the inequality 2x² + y ≤ 6 is true for all x and some y.

Rewriting the inequality in y as y ≤ 6 - 2x²

For any given value of x, y = 6 - 2x².

This satisfies the inequality, since:

2x² + y = 2x² + (6 - 2x²) = 6 ≤ 6

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Answer:

180

Step-by-step explanation:

180

Got it correct

Answer:

$57.4

Step-by-step explanation:

100 - 18 = 82

y = 82% of 70

= 82/100 * 70
= 8.2 * 7

= 57.4

Hence,

Sale price: $57.4

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