After checking the conditions are met, you perform a significance test of H0: μ = 1 versus Ha: μ≠ 1. You obtain a P-value of 0.022. Which of the following must be true?
answer choices
A 95% confidence interval for μ will include the value 1
A 95% confidence interval for μ will include the value 0
A 99% confidence interval for μ will include the value 1
A 99% confidence interval for μ will include the value 0
None of these is necessarily true

Answer:

One Solution

Step-by-step explanation:

The graph shows two lines crossing each other once, therefore meaning there is only one solution in this graph.

Answer:

-5

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

hope it helps on quiz/test/assignemnt/homework !!!!!!

18. With a deposit of $375 in a savings account earning 2.75% interest compounded annually, the interest for the given amounts of time is as follows:

Compound interest operates on a system of computing interest to accumulated interest, unlike the simple interest system.

To find the interest for the given periods, we can use an online finance calculator, which also shows the future value (compounded present value).

We can also manually compute the interest, using the FV table or factor and deducting the present investment from the future value.

N (# of periods) = 1 year

I/Y (Interest per year) = 2.75%

PV (Present Value) = $375

PMT (Periodic Payment) = $0

Results:

FV = $385.31

Total Interest = $10.31 ($375 x 2.75%)

N (# of periods) = 5 years

I/Y (Interest per year) = 2.75%

PV (Present Value) = $375

PMT (Periodic Payment) = $0

Results:

FV = $429.48

Total Interest = $54.48

N (# of periods) = 20 years

I/Y (Interest per year) = 2.75%

PV (Present Value) = $375

PMT (Periodic Payment) = $0

Results:

FV = $645.16

Total Interest = $270.16

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18: You deposit $375 in a savings account that earns 2.75% interest compounded yearly.  Find the interest earned by the account after the given amounts of time.

a) 1 year

b) 5 years

c) 20 years

The ordered pair (6, 4) is not a solution to the inequality Y > - (1/2)x + 7 as,

No, because (6, 4) is below the line.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality Y > - (1/2)x + 7.

Form for the ordered pair (6, 4) we have,

4 > - (1/2)×4 + 7.

4 > - 2 + 7.

4 > 5 which is not true.

Therefore, The ordered pair is not a solution to the inequality.

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The weight of Jared's watermelon is 7 pounds.

What is the unit price?

A unit price is the cost of a single object or unit of measurement, such as a pound, a kilogram, or a pint, and it is used to compare the prices of similar products offered in various weights and quantities. Selling more than one unit of the same product at a discount from its unit price is known as multiple pricing.

Given price of watermelon per pound weight is $0.24.

And Jared paid $1.68 for a watermelon.

Then,

Let the weight of the watermelon Jared bought be 'x' pounds

0.24/1 = 1.68/x

x=1.68/0.24

x=7

Therefore, The weight of the watermelon Jared bought is 7 pounds.

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Answer:The product of the two functions, f and g, is given by fg(x) = (x² + 1)(9x + 5). This can be expanded to give fg(x) = 9x³ + 14x² + 5x + 5.

Step-by-step explanation:

The predicted number of text messages sent per day for someone who has not attended a party this week is 64.96 and the predicted number of text messages sent per day for someone who has attended one party this week is 90.37 (64.96 + 25.41).

The least squares regression line is a mathematical formula that is used to predict the response variable (in this case, the number of text messages sent per day) based on the explanatory variable (the number of parties attended per week). The formula for the least squares regression line is y-hat = b0 + b1x, where y-hat is the predicted response variable, b0 is the y-intercept, b1 is the slope, and x is the explanatory variable. In this example, the y-intercept is 64.96 and the slope is 25.41. This means that the predicted number of text messages sent per day for someone who has not attended a party this week is 64.96 and the predicted number of text messages sent per day for someone who has attended one party this week is 90.37 (64.96 + 25.41).

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The central angle of the circle with a radius of 86 km that intercepts an arc of length 166 km is approximately 3.142 radians.

The formula for the central angle of a circle given the arc length is:

Plugging in the given values, we get:

θ = 2 * arccos(166/(2 * 86))

= 2 * arccos(1)

= 2 * 90°

= 180°

= 3.142 radians (rounded to three decimal places)

So the central angle of the circle with a radius of 86 km that intercepts an arc of length 166 km is approximately 3.142 radians. The central angle of a circle given arc length is given in the formula; for a given 86 km radius & 166 km arc, the central angle is approximately 3.142 radians.

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Answer: 1/3

Step-by-step explanation:

5/15 = 1/3

10/30 = 1/3

6/18 = 1/3

9/27 = 1/3

2/6 = 1/3

The value of 'a' in the figure is, 6

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

In the figure,

⇒ ∠MLK = 15a°

⇒ ∠MJK = 180°

Now, We know that;

In a circle;

⇒ ∠MLK = 1/2 ∠MJK

Substitute given values, we get;

⇒ 15a = 1/2 (180°)

⇒ 15a = 90°

⇒ a = 90/15

⇒ a = 6

Thus, The value of a = 6

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Answer:

4

Step-by-step explanation:

if you want to see that the fractions are equal, you should first make their denominators equal

[tex]\frac{m}{8} = \frac{4}{8}[/tex]

8 times 1 = 8, so m times 1 should equal 4

therefore, m=4

Answer:

[tex] {\red{ \boxed{\sf{m = 4}}}} \\ [/tex]

Step-by-step explanation:

[tex] \sf\frac{m}{8} = \frac{1}{2} \\ \\ \sf{m = \frac{8 \times 1}{2} } \\ \\ \sf{ m = \frac{8}{2} } \\ \\ \sf{m = \frac{2 \times 4}{2 \times 1} } \\ \\ \sf{m = \frac{4}{1} } \\ \\ \sf{so...} \\ \\ \sf{m = 4}[/tex]

a) The amount of overhead cost that would have been applied to each job during May, based on the predetermined overhead rate, was as follows:

                                   Job X        Job Y        Job Z

Overhead applied   $9,000       $3,600     $5,400

b) The work-in-process inventory reported in the company's May 31 balance sheet was $10,500 for Job Z only.

c) The finished goods inventory that would be reported in the company’s May 31 balance sheet was $4,050.

d) The cost of goods sold that would be reported in the company's income statement for May was $14,500.

The predetermined overhead rate is the rate per unit at which overhead costs are applied to production units or jobs.

The predetermined overhead rate is the quotient of the total budgeted overhead cost divided by the relevant total cost driver units (e.g. direct labor hours).

Predetermined overhead rate = $45 per direct labor-hour

                                   Job X        Job Y        Job Z

Direct labor hours        200             80             120

Direct materials      $4,800       $1,800      $3,600

Direct labor               2,400         1,000         1,500

Overhead applied   9,000         3,600        5,400

                         ($45 x 200)  ($45 x 80)   ($45 x 120)

Production costs $16,200       $6,400    $10,500

Unit costs of Job X   $81 ($16,200/200)

Sold units of Job X = 150

Unsold units of Job X = 50 (200 - 150)

Work in process inventory = Job Z's total cost.

Finished Goods Inventory = $4,050 ($81 x 50)

Cost of Goods Sold = $14,500 ($6,400 + $81 x 100)

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Answer:

x is 3.43

Step-by-step explanation:

[tex]{ \tt{6x = 16 \frac{2}{7} }} \\ \\ { \tt{6x = \frac{(16 \times 7) + 2}{7} }} \\ \\ { \tt{6x \times 7 = 144}} \\ \\ { \tt{42x = 144}} \\ \\ { \tt{x = \frac{144}{42} }} \\ \\ { \tt{x = 3.43}}[/tex]

Answer:

If the time is 3:45 how many minutes is it slow or fast

The value of d/dx (fourth root 5x) is 5/4x^-1/3

Differentiation is a method used to compute the rate of change of a function f(x) with respect to its input x . This rate of change is known as the derivative of f with respect to x .

Differentiation is used to determine the instantaneous rate of change of quantities. For instance, if we want to find the velocity of a car, we can do it by using differentiation. Mathematically, it is expressed as v = d s /d t , where s is displacement and t is time.

if y =x^n

dy/dx = nx^n-1

therefore to find d/dx(fourth root 5x)

fourth root 5x = 5x^1/4

= d/dx(5x^1/4)

=1/4×5x^1/4-1

= 5/4x^-1/3

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Therefore , the solution of the given problem of standard deviation comes out to be Random variable X is 30.

Statistics uses variance as a metric for variability. It evaluates the square root of the average deviation between the data values and the mean. It includes all data points in its calculations, unlike some other statistical measures of variability, by comparing each value to the mean. Variances can happen for internal or external causes, and they might involve things like human mistake, unrealistic expectations, and shifting business or economic conditions.

Here,

Given:

=> radius of rubber ball=12/2 = 6cm

Standard deviation = 0.2cm

Random variable X:

=> 6/0.2

=> 30

Therefore , the solution of the given problem of standard deviation comes out to be Random variable X is 30.

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Answer:

14. D

15. angle 2= 125 angle 6= 55

16. yes, because if corresponding angles are congruent, then the lines are parallel.

Step-by-step explanation:

14. alternant exterior are outside of the parallel lines. angle HBF and angle ABD are not.

15. corresponding angles are congruent. angle 5 is the vertical angle of angle 2, meaning that they are congruent. angle 6 are linear pair, meaning they equal to 180. 180-125 is 55, which is the angle measure for angle 6.

The ordered pair that lie on the graph of y = 1/2 x are A and B -  (0, 0), (1, 2)

The equation of a line can be constructed using the slope of the line and a point on the line. Let's learn more about the line's slope and the crucial point on the line in order to better understand how the equation for a line is created. The line's inclination with respect to the positive x-axis is measured by its slope, which can be expressed as an integer number, a fraction, or the tangent of the angle it makes with the x-axis. The point is the intersection of the x and y coordinates in the coordinate system.

The line's equation is as follows:

y = 1/2 x

To check which ordered pair lie on the graph of the given equation of line, we substitute the values of x and y coordinate in the equation.

1. (0, 0)

y = 1/2 x

0 = 1/2 (0)

True.

2. (1, 2)

y = 1/2 x

1 = (1/2) (2) = 1

True

3. (2, 1)

y = 1/2 x

2 = 1/2 (1)

False

4. (3, 4)

y = 1/2 x

3 = (1/2) (4) = 2

False

5. (4, 2)

y = 1/2 x

4 = (1/2)(2) = 1

False

Hence, the ordered pair that lie on the graph of y = 1/2 x are A and B.

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Complete question -

Which of the following ordered pairs lies on the graph of y = 1/2x?

1. (0, 0)

2. (1, 2)

3. (2, 1)

4. (3, 4)

5. (4, 2)

The greatest positive integer [tex]$n$[/tex] such that [tex]$2^n$[/tex] divides [tex]$k$ is $n = 4$[/tex].

[tex]$k = (2 - 1)(3 - 1)(4 - 1)...(20 - 1)$[/tex]

We can rewrite [tex]$k$[/tex] as [tex]$k = 2^1 \cdot 3^1 \cdot 4^1 \cdot ... \cdot 20^1$[/tex], and then use the formula [tex]$2^n \mid (p_1^{\alpha_1} \cdot p_2^{\alpha_2} \cdot p_3^{\alpha_3} \cdot ... \cdot p_m^{\alpha_m})$ $\iff$ $2^n \mid p_1^{\alpha_1}$[/tex] and [tex]$2^n \mid p_2^{\alpha_2}$[/tex] and[tex]$2^n \mid p_3^{\alpha_3}$ and ... and $2^n \mid p_m^{\alpha_m}$[/tex]

Since all of the exponents [tex]$\alpha_1, \alpha_2, \alpha_3, ..., \alpha_m$[/tex] are equal to 1, we can simplify this to: [tex]$2^n \mid p_1$ and $2^n \mid p_2$ and $2^n \mid p_3$ and ... and $2^n \mid p_m$[/tex]

In this case, [tex]$p_1 = 2$, $p_2 = 3$, $p_3 = 4$[/tex], and so on, so [tex]$2^n$[/tex] must divide all of the prime numbers from 2 to 20 in order for it to divide k. The highest power of 2 that divides all of these prime numbers is [tex]$2^4$[/tex], so the greatest positive integer n such that [tex]$2^n$[/tex] divides [tex]$k$ is $n = 4$[/tex].

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Answer: if you are on a graph and go down 15 it would be

Step-by-step explanation:

15 minus 10 equals

The fraction of Kaitlins family have green or brown eyes is 5/8

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Green = 3/8

Brown = 2/8

This means that

Green or Brown = 3/8 + 2/8

Evaluate the like terms

Green or Brown = 5/8

Hence, the fraction is 5/8

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The minimum number of pitches that a baseball player who pitches a complete game can make in a regulation 9-inning baseball game is given as follows:

27 pitches.

The minimum number of pitches is obtained applying the proportions in the context of this problem.

Each baseball game is composed by nine innings, and for each inning the pitching team must get three outs.

Hence the number of outs in a baseball game is given as follows:

9 x 3 = 27 outs.

The minimum number of pitches for one out is of one pitch, hence the minimum number of pitches for an entire game is given as follows:

1 x 27 = 27 pitches.

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The x-values at which the function f(x) is differentiable are all real numbers, excluding those values where the derivative is undefined. This can be expressed using interval notation as (-∞, -4) ∪ (-4, 0) ∪ (0, 4) ∪ (4, ∞).

The function mentioned is a continuous function on the interval 4 < x < 5, h(x), which is described in the table provided. This function has a vertical asymptote at 4 and 5, meaning that its values approach positive or negative infinity at these points.

The function's domain is 4 < x < 5, meaning that it is defined and can take a value for any x within this interval. The function's range is not specified, so it can take any value for an x within the given interval. Additionally, the function is differentiable for all values of x within the given interval, meaning that its rate of change can be calculated using derivatives.

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Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

Since each box is the same, that means Box A = Box B, which means 8y+1=6y+9

[tex]8y + 1 = 6y + 9[/tex]

Now to get y's on one sides of the equal sign and numbers on the other.

First we can subtract 1 from each side to get

[tex]8y = 6y + 8[/tex]

Next we'll subtract 6y from both sides

[tex]2y = 8[/tex]

Lastly, we divide both sides by 2

[tex]y = 4[/tex]

Answer:

y=4

Step-by-step explanation:

set up the equation like 8y+1=6y+9.

subtract the one to the other side to get the 8y isolated.

8y=6y+8

subtract6 6y from 8y.

2y=8

divide to find y.

y=4

The distance along an arc on the surface of the earth is 4.605miles

Given an angle and the diameter of a circle, we can calculate the length of the arc using the formula: Arc Length = ( 2 * pi * radius ) * ( angle / 360 ) Where pi = 22/7, diameter = 2 * radius, angle is in degree.

1 minutes = 1/60 degree

4 minutes = 1/60 × 4

4 minutes = 1/15 °

l = tetha/360 × 2πr

l = 1/15 × 1/360 × 2 × 3.14 × 3960

l = 24868.8/5400

l = 4.605miles

therefore the distance along the surface of the earth by the arc is 4.605miles

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The requried probability that for the next two cars sold, the first will be black and the second will be silver is 41%.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

To find the probability that a customer will purchase a silver or white car, we add the probabilities of each individual color:

silver = 23%

white = 18%

silver or white = 23% + 18% = 41%

So, the probability that a customer will purchase a silver or white car is 41%.

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Answer:

6 weeks

Step-by-step explanation:

7 ft = 84 in

84-63=3.5*(number of weeks)

21=3.5*(number of weeks)

21/3.5=number of weeks

6= number of weeks

Answer:

6 weeks

Step-by-step explanation:

7 feet is 84 inches 7 x 12 is 84

we must find the difference

84-63=21

now we divide 21 by 3.5

and week get how much weeks we have left

21/3.5=6

From conditional statements, there can be built a Tautology.

According to the question, when the Hypothesis is true and the conclusion is false, the result will be false. And that's correct.

But when a conditional statement can a Tautology, given the fact that not always a conditional statement will return the logical value of truth? Look at this example below:

1)James is from Orlando and he lives in Florida. Therefore, James is from Orlando.

2)James is from Orlando and he does not live in Florida. Therefore, James is from Orlando.

3)James is not from Orlando and lives in Florida. Therefore, James is from Orlando.

4)James is not from Orlando and he does not live in Florida. Therefore, James is from Orlando.

What we have above is symbolic for:

p∧q→p

And this is tautological, since no matter, what we have line 2 for p∧q, q being false it does not change the value for false, in any way for the whole proposition p∧q→p. What gives us a Tautology?

This, p∧q→p can be rewritten as p∧q⇒p.

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