A sample of 44 observations is selected from a normal population. The sample mean is 24, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level:
H0: µ ≤ 23 versus H1: µ > 23.
a. Is this a one- or two-tailed test?
b. What is the decision rule? Reject H0 when z > 1.645 or reject H0 when z ≤ 1.645?
c. What is the value of the test statistic? (Round your answer to 2 decimal places.)
d. What is your decision regarding H0? Reject H0 or fail to reject H0?
e. What is the p-value? (Round your answer to 4 decimal places.)

Answer:

x = 8

Step-by-step explanation:

2x - 7 = 9

Add 7 to each side

2x-7+7 = 9+7

2x = 16

Divide each side by 2

2x/2 = 16/2

x = 8

Answer:

The two triangles are related by   hypotenuse leg  

so the triangles are   congruent    

======================================================

Explanation:

The square markers indicate we have 90 degree angles. This means the two triangles are right triangles.

The tickmarks tell us which sides correspond and are the same length. The double tickmarked sides are the hypotenuses of each triangle. They are the same length because of the matching tickmarks. The same can be said about the legs marked with single tickmarks.

Based on those tickmarks, and the fact we have right triangles, we can use the hypotenuse leg theorem to prove the triangles are congruent.

The hypotenuse leg theorem only works for right triangles.

Since "hypotenuse leg" is used quite often in geometry, it is abbreviated to "HL".

Answer:x= -47

Step-by-step explanation:

-14x-45=613

-14x = 658

x = -47

Answer:

x= -47 i'm sure i did it right but tripple check it for me

Step-by-step explanation:

add 45 to both sides

divide both sides by -14

x= -47

Answer:

Each cupcake or cookie is 3 dollars

Step-by-step explanation:

17 dollars minus the tip is 15
2+3 = 5

15 divided by 5 is 3

Hope this helps! :)




brainliest?

If the heights of five dogs are 400 mm, 370 mm, 470 mm, 330 mm and 500 mm. Then the standard deviation of the heights of the dogs is:

c) 70 mm

Given:

five friends were comparing the height of their dogs.

the heights at the shoulders were 400mm, 370mm, 470mm, 330mm and 500mm.

we are asked to find out the standard deviation of the heights of these dogs = ?

First find mean :

(400+ 370+470 + 330 + 500)/5

Mean = 2070/5

Mean = 414

standard deviation = √∑(xi - mean)²/N-1

= √(400-414)²+(370-414)²+(470-414)²+(330-414)²+(500-414)²/4

= √(14)²+(-44)²+(56)²+(-84)²+(86)²/4

= √196+1936+3136+7056+7396/4

= √19720/4

= √4930

= 70.21

rounding it to the nearest integer.

= 70 mm

Hence we get the required standard deviation as 70 mm.

Learn more about Standard deviation here:

brainly.com/question/24298037

#SPJ4

The most appropriate level of measurement for the Ages of survey respondents would be the interval ratio.

This is because age is a quantitative variable that can be measured on a continuous scale with equal intervals between each value. The nominal level of measurement is used for categorical variables with no inherent order, the ordinal level of measurement is used for variables with a specific order, but the differences between values are not meaningful, and the ratio level of measurement is used for variables with a true zero point and meaningful ratios between values.

Since age can be measured on a continuous scale with a meaningful zero point (birth), the interval ratio is the most appropriate level of measurement. Hence, the answer is B) Interval

Learn more about quantitative variable: https://brainly.com/question/14037311

#SPJ11

Answer:

let t = number of three-point shots

let f = number of free throw shots

Step-by-step explanation:

t + f = 9      (he made a total of 9 shots altogether)

3t + 1f = 23   (number of shots multiplied by their point value)

substitution method:   t = 9 - f

                                    3(9 - f) + f = 23

                                     27 - 3f + f = 23

                                      -2f = -4

                                         f = 2

find 't':                               t + 2 = 9

                                         t = 7

The Z score that is equivalent to the raw score 92.5 is B. -1.25.

A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:

Z = (92.5 - 100) / 15

Z = -7.5 / 15

Z = -0.5

Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.

The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.

Learn more about  distribution

brainly.com/question/29664127

#SPJ11

Answer:

C) 157 \(cm^3\)

Step-by-step explanation:

\((3.14)5^2*6/3= 157\)\(cm^3\)

Hope this helped! :)

Answer:

5x-y=7

Step-by-step explanation:

y-3=5(x-2)

y-3=5x-10

y=5x-10+3

y=5x-7

5x-y=7

Answer:

It's 45.

Step-by-step explanation:

Same as the last question :)

r = 42 - 3.50m is the equation to represent, r, the amount of money remaining in Shawna's lunch account after she purchases m meals, -3.5 is the slope and 42 is y intercept.

To represent the amount of money remaining in Shawna's lunch account after she purchases m meals, we can use the equation:

r = 42 - 3.50m

r represents the amount of money remaining in Shawna's lunch account.

42 represents the initial amount of money loaded into her account at the start of the school year.

3.50 represents the cost of each meal in the school cafeteria.

m represents the number of meals Shawna has purchased.

Now let's determine the slope and y-intercept of this equation:

The slope represents the rate at which the money in Shawna's account decreases with each meal purchase.

The slope is -3.50, indicating that $3.50 is subtracted from her account for each meal.

The y-intercept represents the initial amount of money in Shawna's account, which is $42.

This is the value of r when m is 0 (before any meals are purchased).

Therefore, the slope is -3.50 and the y-intercept is 42.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

- The amplitude of k(t) is 11.

- The period of k(t) is π/5.

- The maximum value of k(t) is 29.

Comparing this form to the given function k(t) = -11sin(10t) + 40, we can deduce the following:

To determine the amplitude, period, and maximum value of the function k(t) = -11sin(10t) + 40, we can analyze the properties of the sine function.

The general form of a sine function is f(t) = A * sin(Bt + C) + D, where:

- A represents the amplitude,

- B represents the frequency (inverse of the period),

- C represents a phase shift (horizontal shift),

- D represents a vertical shift.

Amplitude: The amplitude of the sine function is the absolute value of the coefficient A. In this case, the amplitude is |-11| = 11.

Period: The period of a sine function is calculated as 2π divided by the absolute value of the coefficient B. In this case, the period is 2π / |10| = π/5.

Maximum Value: Since the amplitude is 11 and the function is given as k(t) = -11sin(10t) + 40, the maximum value occurs when sin(10t) is at its maximum value of 1. Therefore, the maximum value of k(t) is -11(1) + 40 = 29.

Visit here to learn more about amplitude brainly.com/question/9525052

#SPJ11

Answer:

use photomath .....it'll give u both methods....hope this helped:)))))

Answer:

416 square centimeters

Step-by-step explanation:

Formula for finding area of a trapezoid :

A = 1/2 x (a + b) x h

Solving :

Answer:

416 cm²

Step-by-step explanation:

The figure we are given, is a trapezoid. Let's apply the "area of trapezoid" formula to determine the area of the trapezoid provided.

\(\boxed{\text{Area of trapezoid:} \ \dfrac{a_1 + a_2}{2} h}\)

[Where a₁ and a₂ are the measure of the parallel sides and h is the height]

Let's plug the height and the parallel sides into the formula and simplify it:

\(\text{Area of trapezoid} = \dfrac{38 + 14}{2} \times 16}\)

\(\text{Area of trapezoid} = \dfrac{52}{2} \times 16}\)

\(\text{Area of trapezoid} = 26 \times 16}\)

\(\boxed{\text{Area of trapezoid} = 416 \ \text{cm}^{2}}\)

Therefore, the area of the trapezoid is 416 cm².

Learn more about area of trapezoids: https://brainly.com/question/26695399

Answer:

It is linear since it is a straight line.

Answer:

5.8 m

Step-by-step explanation:

using formula c^2 = a^2 + b^2

whereas c is length of the ladder

b is the distance from the wall

so a will be the height of the wall the ladder reaches

so 6^2 = a^2 + 1.5^2

36 = a^2 + 2.25

a^2 = 36 - 2.25 = 33.75

x = 5.8 m

Lin is correct in thinking that the graph of g will be the same as the graph of f, translated to the left by 2 units.

The function g(x) = f(x - 2) is obtained by shifting the graph of f to the right by 2 units, which means that the point (a, f(a)) on the graph of f is mapped to the point (a - 2, f(a)) on the graph of g. Therefore, the shape of the graph of f remains the same, but its position is shifted to the right by 2 units to obtain the graph of g.

This can be seen by considering the effect of the transformation on the key features of the graph of f, such as its intercepts, maxima, and minima. For example, if f has a maximum at x = c, then g will have a maximum at x = c + 2. Similarly, if f intersects the x-axis at x = d, then g will intersect the x-axis at x = d + 2.

Therefore, Lin's reasoning is correct, and the graph of g will be the same as the graph of f, translated to the left by 2 units.

To learn more about graph click here: brainly.com/question/17267403

#SPJ11

The correct interpretation is that the total revenue generated at a production rate of 11 units is $368. The Correct option is:

d) None of the above.

The marginal revenue function R(x) represents the additional revenue generated by producing and selling one additional unit of a product. In this case, the marginal revenue function is given by R(x) = 500 - 12x.

The notation R(11) refers to evaluating the marginal revenue function at a production rate of 11 units, which means substituting x = 11 into the function. So, we have R(11) = 500 - 12(11) = 500 - 132 = 368.

The interpretation is that at a production rate of 11 units, the total revenue generated is $368.

This means that by producing and selling 11 units of the product, the company earns $368 in revenue.

Learn more about revenue

brainly.com/question/13383966

#SPJ11

Answer:

3rd option

Step-by-step explanation:

The sum to infinity of a geometric sequence is

S = \(\frac{a}{1-r}\)

where a is the first term and r the common ratio

The expression inside the summation is

6 \((\frac{1}{3}) ^{n-1}\)

which is in the form of the nth term of a geometric sequence

with a = 6 and r = \(\frac{1}{3}\) , then

S = \(\frac{6}{1-\frac{1}{3} }\) ← expression required

  = \(\frac{6}{\frac{2}{3} }\)

  = 9

Answer:

C I took the quiz

Step-by-step explanation:

When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

For more questions on exponential function

https://brainly.com/question/30241796

#SPJ8

Answer:

942.48

Step-by-step explanation:

The biconditional statement,

→ If a polygon is a triangle, then the polygon has exactly three sides.

→ If a polygon has exactly three sides then it is a triangle.

Given statement;

If a polygon has three sides, then it is a triangle. If a polygon is a triangle, then it has three sides.

The biconditional of the given statement is,

→ If a polygon is a triangle, then the polygon has exactly three sides.

→ If a polygon has exactly three sides then it is a triangle.

To learn more about polygon click here:

brainly.com/question/24464711

#SPJ4

Therefore, the simplest form of the radical expression is (-7 + 2sqrt(10)).

To simplify the expression, we can use the conjugate of the denominator to rationalize the denominator:

(sqrt(2) + sqrt(5)) / (sqrt(2) - sqrt(5)) * (sqrt(2) + sqrt(5)) / (sqrt(2) + sqrt(5))

= (2 + 2sqrt(10) + 5) / (2 - 5)

= (-7 + 2sqrt(10))

To know more about expression,

https://brainly.com/question/12114262

#SPJ11

The total surface area of the cylinder is approximately 116.28 cm² (rounded to two decimal places).

To find the surface area of the cylinder, we need to first find the height of the cylinder. We know that the circumference of the base of the cylinder is equal to the length of the square paper, which is 10 cm.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since we know that the circumference is 10 cm, we can solve for the radius:

10 = 2πr

r = 5/π

Now that we know the radius, we can find the height of the cylinder. The height is equal to the length of the square paper, which is 10 cm.

So, the surface area of the lateral surface of the cylinder is given by:

Lateral Surface Area = 2πrh

= 2π(5/π)(10)

= 100 cm²

The surface area of each end of the cylinder (i.e., top and bottom) is equal to πr². So, the total surface area of both ends is:

Total End Surface Area = 2πr²

= 2π(5/π)²

= 50/π cm²

Therefore, the total surface area of the cylinder is:

Total Surface Area = Lateral Surface Area + Total End Surface Area

= 100 + (50/π)

≈ 116.28 cm² (rounded to two decimal places)

To know more about  total surface area refer here:

https://brainly.com/question/27803865#

#SPJ11

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ12

Answer:

45 times

Step-by-step explanation:

15 red out of  60   total markers

15/60=0.25

180 x 0.25 = 45

Thus, she will pick a red marker 45 times

[RevyBreeze]

The coordinates of the point D of the rectangle after the translation is given by D' ( 1 , -12 )

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

Given data ,

Let the coordinates of the rectangle be ABCD

Now , the coordinate of the point D be D ( -5 , -2 )

And , the translation rule is ( x , y ) → ( x + 6 , y - 10 )

So , the point after translation be D'

where D' = D ( -5 + 6 , -2 - 10 )

The coordinates of D' = D' ( 1 , -12 )

Hence , the coordinates after translation is  D' ( 1 , -12 )

To learn more about translation click :

https://brainly.com/question/19007400

#SPJ7

Answer:

Hi! To find x (the missing angles of the triangles), remember that the angles in a triangle add up to 180 degrees. This means that for each triangle, you can add the two angles given, then subtract that number from 180 to find x. I'll use Triangle 1 as an example:

81 + 84 = 165

180 - 165 = 15

So for Triangle 1, x is equal to 15.

To classify each triangle by angles, remember that an acute triangle has three angles that each measure less than 90 degrees, a right triangle is a triangle with one 90 degree angle, and an obtuse triangle is a triangle with one angle that is greater than 90 degrees. To classify each triangle by sides, remember that scalene triangles have three sides of unequal length, isosceles triangles have two sides of equal length, and equilateral triangles have three sides of equal length.

Keeping all this in mind, here are your answers:

Triangle 1 - 15 acute scalene

Triangle 2 - 120 obtuse scalene

Triangle 3 - 41 right scalene

Triangle 4 - 104 obtuse isosceles

Triangle 5 - 25 right scalene

Triangle 6 - 64 acute scalene

Triangle 7 - 72 acute scalene

Triangle 8 - 32 obtuse scalene

Triangle 9 - 40 right scalene

I hope this helps you! Have a great day. - Mani :)