Select the correct answer
Simplify the following expression
(5^3)5

Answer: 1

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

5x - 15 =20

5x=15+30

5x=35

Divide by 5

X=7

Answer:

84

Step-by-step explanation:

The baking club has 10 employees in total including Mark. When Mark is excluded there will be 9 employees who can form the executive committees.

The number of people who can form each committee are 3. To find the possible number of committees we use statistic computation technique. 9C3 we get 84 possible techniques.

A sample of 24 pieces of work is considered for the checking the quality of the work,

a) Upper control limit of 99.73% confidence interval is 4

Lower control limit of 99.73% confidence interval is Zero.

The process is in control because all the values of the blemishes per unit are lie within the control limits .

The Control limits consist of two limits lower control limit and upper control limit within which the value of the statistical observations of a product are expected to lie. If the values lie outside these limits, then the process is called out of statistical control. We have,

Kate Drew has been hand-painting wooden Christmas ornaments for several years.

Sample size = 24 pieces

confidence level = 99.73% = 0.9973

The number of blemishes per unit is given as:

1,1,2,3,1,0,2,0,0,1,3,1,0,1,2,0,0,2,1,2,3,2,1,1.

The control limits are to be computed for the number of defects per piece . Let us consider the number of defects per piece be denoted by c. In that case, the control limits for c chart are used. The upper control limit (UCL) and lower control limit (LCL) for c chart is given by,

UCL = c-bar + 3 s.d

LCL = c-bar - 3 s.d

where c-bar = 1/n(€c) average number of defects

So, c-bar is computed as,

c-bar = (1+1+2+3+1+0+2+0+0+1+3+1+0+ 1+2+0 +0+2 + 1+2 +3+ 2+1+1) /24 = 30/24 = 1.25

put the data in Excel sheet and calculate required limits using Excel Commands.

Excel Command for Average, c-bar

=Average( Range of numbers who's average you want to calculate )

In my excel sheet, = Average ( H2 : H25)

= 1.25

Excel Command for Standard deviations,

=STDEV( numbers who's standard deviations you want to calculate)

here, =STD(H2:H25) , output= 0.98907

UCL = 1.25 + 3( 0.98907)

= 4.217

LCL = 1.25 - 3( 0.98907)

= - 1.717

but defective item can never be negative so, Lower control limit is Zero.

Hence, for the given data, the upper control limit for the number of defects is 4 and the lower control limit is 0.

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Answer:

The slope of the line is -5/7

Step-by-step explanation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{4-(-3)}=\frac{-5}{4+3}=-\frac{5}{7}\)

Answer:

Total Platform = 128 ft^3

Step-by-step explanation:

Volume = Length * Width * Height

Left Volume: 2 ft * 4 ft * 3 ft = 24 ft^3

Mid Volume: 4 ft * 4 ft * 5 ft = 80 ft^3

Right Volume: 2 ft * 4 ft * 3 ft = 24 ft^3

Total Volume = 24 ft^3 + 80 ft^3 + 24 ft^3 = 128 ft^3

Answer:

v = \(108^{3}\)

Step-by-step explanation:

I'd start with breaking the platform into two parts, the long flat rectangle and then the bit on top. You'll have to add these together at the end!

_________________

So part one: the long piece

formula: v = lwh

dimensions: 12, 3, 2

plug in: v = 12 * 3 * 2

solve: v = 72^3

_________________

part two: smaller rectangle on top ::

formula: v = lwh

dimensions: 4, 3, 3

plug in: v = 4 * 3 * 3

solve:v = 36*3

__________________

now, we add for the total of the entire shape!

final answer: 72 + 36 = 108^3

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:

Step-by-step explanation:To determine which of the given numbers is closest to 7, we can calculate the absolute difference between each number and 7 and choose the number with the smallest absolute difference.

Let's calculate the absolute differences:

Absolute difference between √51 and 7:

|√51 - 7| ≈ 7.13 - 7 ≈ 0.13

Absolute difference between 50 and 7:

|50 - 7| = 43

Absolute difference between 46 and 7:

|46 - 7| = 39

Comparing the absolute differences, we can see that the number closest to 7 is √51. The absolute difference between √51 and 7 is the smallest among the given options.

Therefore, √51 is the number closest to 7.

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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Answer:

-3,-2,-1,0,1,2,3

Step-by-step explanation:

Answer:

x = 63°

y = 27°

Step-by-step explanation:

RECT is a rectangle.

By the property of interior angles of a polygon,

All interior angles of a rectangle measure 90°

m(∠RTC) = 90°

m(∠RTC) = m(∠RTE) + m(∠CTE) [Angle addition postulate]

x° + 27° = 90°

x = (90 - 27)°

x = 63°

Since, opposite sides of a rectangle are parallel and equal in measure,

RE║TC and TE is a transversal line,

m∠RET = m∠CTE [Alternate interior angles]

y = 27°

Answer:

  B)  15/17

Step-by-step explanation:

You want the sine of acute angle A in the right triangle shown.

The sine of the angle is the ratio ...

  Sin = Opposite/Hypotenuse

We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)

The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.

The value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.

Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.

The sine of angle A is 15/17.

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Answer:

3,4

Step-by-step explanation:

The relative maximum for the given graph is (3,4).

We need to find the relative maximum for the given graph.

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).

Here, the ordered pair (3,4) is the relative maximum for this graph.

Therefore, the relative maximum for the given graph is (3,4).

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Answer:

c. ( 5 )

          :)   :)    :)

Answer:

Step-by-step explanation:

Two standard deviations gives 95%.

It means 100% - 95% = 5% out of 100 containers are likely not to be distributed.

5% of 100 containers is 5*100/100 = 5 containers.

Correct choice is C

Both planes have a speed of 340 miles per hour and 510 miles per hour, respectively.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Let tc be the time of commercial jet and tp be the time of private airplane.

Let vc be the speed of commercial jet and vp be the speed of private airplane.

Let dc be the distance of commercial jet and dp be the distance of private airplane.

now,

dc=dp

vc=vp+170

vc*tc=vp*tp

(vp+170)*1.2=vp*1.8

(vp+170)*2=vp*3

2vp+340=3vp

vp=340 miles/hour

vc=340+170

vc=510 miles/ hour

The speed, in miles per hour, of both airplanes is 340 miles per hour and 510 miles per hour.

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Answer:

It depends on how many hours she trains for..

Step-by-step explanation:

For example, if she trains for 2 hours, she will get $16, and if she trains for 3 hours, she will get $24. It goes on like that.

As per the given variables, Victor jumped a total of 4 yards.

Total yards jumped = 6 feet high

Additional yards = 2

A yard is one linear yard. "Yd" is the yard symbol. The standard of measurement has always been derived from either a natural item or a portion of the human body, such as a foot, an arm's length, or the width of a hand.

Converting the initial jump of 6 feet to yards, as the additional distance given is also in yards.

There are 3 feet in a yard, therefore -

6 feet = 6/3  

= 2

Thus, Victor jumped 2 yards initially, and then 2 more yards as given in the problem.

Calculating, the total distance Victor jumped in yards -

= 2 + 2

= 4

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Option d is correct

y=β0+β1x1+β2x2+β3x3+........+βkxk+ε

Where y is the "independent" variable and 0 to k are the "regression" coefficients. In a "multiple linear regression" model, the "independent" variables are x1, x2, x3,..., xk, and the "residual" or "error" term is.

The "residual" for the regression model is calculated using the following formula.

Residual=y-ŷ

Where y is the "independent variable's" "actual" value and is the "independent variable's" "predicted" value.

The "difference" between the "actual" value of the "dependent" variables and the corresponding "predicted" value when employing the "multiple regression" model is referred to as the "residual" in the "residual" formula.

A statistical technique for evaluating the relevance of a "multiple regression" model is the "F test." Linear models are A linear model is a statistic that explains the “relationship” between “response” and “predictor” variables. Using the “multiple regression” model, the “predicted” value of the “response” variable is denoted by ŷ.

hence option 4 is correct

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I understand you mean:

What is a residual for a multiple regression model and the data that is used to create it? Select one:

1.A statistic that is used to evaluate the significance of the multiple regression model

2.A statistic that explains the relationship between response and predictor variables

3.The predicted value of the response variable using the multiple regression model

4.The difference between the actual value of the response variable and the corresponding predicted value (regression error) using the multiple regression model

The first series,

\(\displaystyle \sum_{k=2}^\infty \frac{\cos(k)}{k^2}\)

is convergent. By comparison, using the fact that |cos(x)| ≤ 1 for all real x,

\(\displaystyle \sum_{k=2}^\infty \frac{\cos(k)}{k^2} \le \sum_{k=2}^\infty \frac1{k^2}\)

and the bounding series is a convergent p-series (with p = 2).

The second series,

\(\displaystyle \sum_{k=2}^\infty \frac{e^k}{\left(2+\frac1k\right)^k}\)

is divergent by the limit test. We have

\(\dfrac{e^k}{\left(2 + \frac1k\right)^k} = \dfrac{e^k}{2^k\left(1+\frac1{2k}\right)^k} = \left(\dfrac e2\right)^k \cdot \dfrac1{\left(1+\frac1{2k}\right)^k}\)

By definition,

\(e = \displaystyle \lim_{k\to\infty}\left(1+\frac1k\right)^k\)

so that

\(\displaystyle \lim_{k\to\infty}\left(1+\frac1{2k}\right)^k = \lim_{k\to\infty}\sqrt{\left(1+\frac1{2k}\right)^{2k}} = \sqrt{\lim_{k'\to\infty}\left(1+\frac1{k'}\right)^{k'}} = \sqrt{e}\)

so that the limit of the summand is

\(\displaystyle \lim_{k\to\infty} \frac{e^k}{\left(2+\frac1k\right)^k} = \frac1{\sqrt{e}} \lim_{k\to\infty} \left(\frac e2\right)^k\)

but e > 2, so the limit is ∞.

Answer:

there is no picture?

Step-by-step explanation:

A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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Answer:

24

Step-by-step explanation:

x=Width of rectangle

x+2= Length of the rectangle

2(x+2) + 2x = 24 (the perimeter)

2x+4 +2x = 24

4x + 4 = 24

Correct me if i am wrong please

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Note that the expected value  of X is 2.5, the variance is 1.25,and the standard deviation is 1.12.

To calculate the expected value,variance, and standard deviation of the random variable X, we   need to determine the probabilities associated with each outcome and perform the necessary calculations.

The probability   of selecting each number from the set {1, 2, 3, 4} is equal since it isa uniform distribution.

Hence   the probability for each numberis 1/4 or 0.25.

Expected Value (E)  -

E(X) = Σ(x * P(x)  = ( 1 * 0.25) + (2 * 0.25) + (3 * 0.25) + (4 * 0.25) = 2.5

Variance (Var) -

Var(X) = Σ( (x - E(X))² * P(x)) = [(1 - 2.5)² *0.25] +   [(  2 - 2.5)² * 0.25] + [(3 - 2.5)² * 0.25] + [ (4 - 2.5)² * 0.25  ]

= 1.25

Standard Deviation (SD)  -

SD(X) = √Var(X)

=√ 1.25

=   1.12

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) X is the number selected at random from the set {1, 2, 3, 4}.

Answer:

a 23

Step-by-step explanation:

Answer:

the GCF would be 22 this is because that is 88 and 66 greatest common factor (gcf)

Step-by-step explanation:

have a good day!!

The total number of students who graduated from the Cincinnati universities and colleges are 15382.

We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.

The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.

We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.

Let the total number of students be x.

ATQ:

6.67 % x = 1026

6.67 x = 102600

667 x = 10260000

x = 10260000 / 667

x = 15382.309

Rounding off to the nearest whole number is:

x = 15382.

Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.

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The equation representing the relationship in the table is y = 2x - 3. The correct option is C.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between two or more variables.

Given data in the table:-

x              y

0              -3

1               -1

2              1

3              3

The equation satisfying the values of the table will be:-

y = 2x - 3

-3 = 2 x  0 - 3=-3

-1 = 2 x 1 - 3 =-1

1 = 2 x 2 - 3 = 1

3 = 2 x 3 - 3 = 3

Therefore, the equation representing the relationship in the table is y = 2x - 3. The correct option is C.

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Answer:

33.33%

Step-by-step explanation:

use a proportion

20/60 =10/30=1/3=33.333%

hope this helped!