Find three consecutive even integers such that the sum of the smallest number and twice.

The p-value statistic to test the claim that the average weight of all babies is greater than 7.5 lbs. is 7.293.

a) Data set : 9.2, 6.5, 4.3, 5.5, 7.2, 9.5, 11.2, 8.5, 5.2, 4.7, 11.0, 7.4, 8.2, 6.9, 4.1

mean of the data set = sum / frequency

mean = 7.293.

Standard deviation

=  √(871.96-797.98)/14

= 2.3001

Hence the point of estimate = 7.293

b) Using p-value> q(.80)

p> 1.282

And the sample average is just mean(x)

p>7.2933

So our margin of error is

e <- 1.282*(2.3001/sqrt(15))

e<0.7614

The lower and upper bounds are:

= mean(x) - e = 6.5319

= mean(x) + me = 8.0547

Hence the lower and upper bounds for the p-value will be 6.5319 and 8.0547 .

A statistical calculation known as a p-value is employed to assess the applicability of a hypothesis to the data. A p-value establishes the likelihood that the outcomes that were observed would occur if the null hypothesis were true. The found difference becomes statistically more significant as the p-value decreases.

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The weight is pulled down 1 ft below its static equilibrium position and then released from rest at time t the phase angle is α=π÷16.

The mass in fps gadgets is m = 0.375 and the spring consistent is [tex]k = 12/5 × (lb)/(lt) = 24lb / ft .[/tex]

The round frequency is given through [tex]ω{0} ^ 2 = k/m = 64 , so ω{0} = 8rad / s[/tex] The damping consistent is[tex]c = 3lb - s / ft so p = i/(2m) = 4[/tex], and the machine is consequently underdamped. Then [tex]ω= (ω{0} ^ 2 - p ^ 2) = sqrt(48) = 4^(3)[/tex]so the overall answer is

[tex]x(t) = Ac ^ (- 4t) cos 4 t + B * c ^ (- 4t) * sin 4 ^3t\\v(t) = A * e ^ (- 4t) * (- 4cos 4 ^3 t - 4^3\\sin 4 * ^3 t) + B * e ^ (- 4t) * (- 4sin 4 * 63 t + 4^3 cos 4 ^3* t)[/tex]

We degree the displacement vertically, thinking about a displacement downwards as being positive, because it corresponds to stretching the string further.

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Translation of x with 5 units to the left is ( x + 5 ) and 7 units up is ( x + 7 ) .

As given in the question,

The translation represents the movement of the original shape in the coordinate plane.

Translation of x for the given conditions :

5 unit to the left :

Here function shift 5 units to the left by adding 5 in the function.

x → ( x + 5 )

7 units up

Function shift 7 units up by adding 7 in the function.

x → ( x + 7 )

Therefore, translation of the function by 5 units left is x+5 and 7 units up is x + 7.

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By using operations on integers, it can be calculated that

Difference between the amount of memory allocated by char*arr[3] on the intel ia 32 versus the intel x86-64 is 12 bytes

What is operation on integers?

At first it is important to know about integers

Integers are those numbers without any fractional part. Integers can be positive or negative and zero is also an integer.

The operation on integers are

Addition

Suppose there are numbers and the sum of those numbers has to be calculated. For this addition is used

Subtraction

To find the difference between two integers, subtraction is used

Multiplication

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers

Division

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This problem can be solved using operation on integers

On Intel IA 32, the address is 32 bit or 32 [tex]\div[/tex] 8 = 4 bytes

On Intel x86 - 64, the address is 64 bit or 64 [tex]\div[/tex] 8 = 8 bytes

On an array of size 3,

On Intel IA 32, the address is  4 [tex]\times[/tex] 3 bytes = 12 bytes

On Intel x86 - 64, the address is  8 [tex]\times[/tex] 3 bytes = 24 bytes

Difference between the address = 24 - 12 = 12 bytes

Difference between the amount of memory allocated by char*arr[3] on the intel ia 32 versus the intel x86-64 is 12 bytes

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Complete Question

how many bytes difference will there be in the amount of memory allocated by the following code on the intel ia 32 versus the intel x86-64?

char*arr[3]

Answer:

base is 4 units

Step-by-step explanation:

the formula for a triangle is (b x h)/2= a

So we can fill in what we know

(b x 12)/2=24

Our goal is to solve for b or the base

12b/2=24

X2.       x2

12b=48

/12.   /12

b=4

Hopes this helps please mark brainliest

The sentences is completed as follows

To model 2x + 4, you need:

To model 3x + (−1) you’ll need:

An algebra tile model is a graphic representation made out of various arrangements of algebra tiles. A model's function is to depict a polynomial expression or equation.

Algebra tiles it self are shapes of different colors that represents numbers or parts of numbers.

In the question, algebra tiles are used to represent the equations used in the problem. The tiles in the problem will be of 3 types

2x + 4

In this case, the equation will require the twice the x-tiles then 4 positive unit tiles

3x + (−1)

In this case, the problem is represented using 3 x-tiles and 1 negative unit tile.

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Answer:2,4,positive,negative

Step-by-step explanation:

It will cost $776.25 to paint the area of the rectangular wall

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc.

The formula of area of a rectangle is given as;

A = L * W

Imputing the values and calculate the area of the rectangular wall;

A = 12.5 * 18

A = 225ft²

But in the question, the cost of painting the wall is $3.45 per square feet.

1ft² = 3.45

225 = x

x = 3.45 * 225

x = 776.25

The cost of painting the wall is $776.25

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No, there is no price discrimination in the given question

Price discrimination is a marketing strategy where a firm levies its customers variously for a similar commodity based on the standards they have set. It is offering customers various products at various price points based on their purchasing power and demographics.

Since the retailer does not charge different prices for various products, there is no price discrimination in the given question. It cannot be argued that a local boutique owner is engaging in price discrimination if they offer a discount to a customer who is unaware of it without asking them first. Additionally, it is no priced discrimination if the shop owner does not give more than a 15% discount or any incentives for purchasing in bulk.

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The value of Tim's house at the start of 2018 is £146410

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

Initial value = 100,000

Rate of increase = 10%

The value of the house x years after 2014 can be represented as the following exponential function

Value = Initial value * (1 + rate)ˣ

So, we have

Value = 100000 * (1 + 10%)ˣ

2018 is 4 years after 2014

This means that x = 4

So, we have

Value = 100000 * (1 + 10%)⁴

Evaluate

Value = 146410

Hence, the value is #146410

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The orders numbers from least to greatest are 2.509, 2.925, and 2.95 respectively.

What is ascending order?

When numbers are arranged in ascending order, they are done so from least to greatest.

Ordering Decimal from Least to Greatest.

Compare each decimal's whole number component first. The smallest number is the one with the smallest entire number.

Compare the decimal parts in the same way as we compare the whole numbers if the whole number parts are the same.

Given, 2. 95,  2. 509, 2. 925

Arranging numbers from least to greatest, we get

2.509, 2.925, 2.95

Hence, the order numbers from least to greatest are 2.509, 2.925, and 2.95 respectively.

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By using the travel distance formula, we found out that it takes 1 hour for the car and the truck to meet if they leave at the same time and travel toward each other.

It is given to us that -

Two cities are 145 miles apart

Truck travels this distance in 2.5 hours

Car is 1.5 times as fast as the truck

We have to find out the time taken for the car and the truck to meet if they leave at the same time, and travel toward each other.

We know that -

[tex]Speed = \frac{Distance}{Time}[/tex] ----- (1)

Let us say that the speed of the truck is given by [tex]S_{t}[/tex] and the speed of the car is given by [tex]S_{c}[/tex].

Now, from equation (1), we can say that the speed of the truck,

[tex]S_{t}=\frac{145}{2.5} \\= > S_{t}= 58 miles per hour[/tex] ----- (2)

It is given to us that the car is 1.5 times as fast as the truck

=> [tex]S_{c}= 1.5 * 58\\= > S_{c}= 87 miles per hour[/tex] ----- (3)

It is mentioned that the car and the truck leave at the same time to meet each other.

Let us say that the truck meets the car at a distance 'd'.

This implies that the distance travelled by the car to meet the truck at a given point = (145-d)  --- (4)

From equation (1), we can say that

[tex]Time = \frac{Distance}{Speed}[/tex]

Also, we know that -

Time taken by truck to travel d miles = Time taken by car to travel (145-d) miles

[tex]\frac{d}{58}=\frac{145-d}{87} \\= > 87d = 8410-58d\\= > 145d=8410\\= > d = 58[/tex]

Thus, the truck will travel 58 miles to meet car after they leave at the same time.

So, the time taken for the car and truck to meet =

[tex]\frac{58 miles}{58 miles per hour} = 1 hour[/tex]

Therefore, according to the distance formula, it takes 1 hour for the car and the truck to meet if they leave at the same time and travel toward each other.

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According to the volume of the box, the height of the box is (2x + 3)

Volume:

Volume is defied as the space occupied within the boundaries of an object in three-dimensional space.

Given,

In order to package products for her business class, Jessica needs to determine the size of a box in which they would fit. To meet shipping specifications, the volume of the box should be 6x² - 15x-36. The box is in the shape of a rectangular prism. The width of the box must be 3, and the length of the box must be x - 4.

Now, we have to find the expression or the height of the box.

From the given details, we know that,

Volume of the box = 6x² - 15x-36

Width of the box = 3

length of the box = x - 4

Let us consider the height of the box is h.

By using the volume of the box formula, we have calculated the height of the box as,

=> 6x² - 15x-36 = (3) × (x-4) × h

Here we need the value of h,

The given expression is rewritten as,

=> (6x² + 15x-36) / 3(x - 4) = h

When we factorize the numerator, then we get,

=> 3(2x + 3)(x - 4)/3(x-4) = h

Therefore, the expression for h is 2x + 3.

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Step-by-step explanation:

The factors of 10 are 1,2,5,10.

Therefore the first 3 factors of 10 are 1,2,5

Answer:

y=2x-6

Step-by-step explanation:

y-4=2(x-5)

y-4=2x-10

 +4

y=2x-6

Answer:

∠ ABC = 50°

Step-by-step explanation:

∠ ABC and 130° are a linear pair and sum to 180° , that is

∠ ABC + 130° = 180° ( subtract 130° from both sides )

∠ ABC = 50°

Excel's PivotReport Table can be used to construct a crosstabulation.

What is Pivot Report Table?

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For all possible samples of 100 stores taken from the population of 1,000 stores, 95% of the confidence intervals developed will contain the true population means is true or false depending on the points shown below.

A. Referring to the problem statement, if the population had consisted of 10,000 stores, the confidence interval estimate of the mean would have been wider in the range is false since increasing sample size will decrease the width of the confidence interval

B. Referring to the problem statement, of all possible samples of 100 stores drawn from the population of 1,000 stores, 95% of the sample means will fall between 5.623 and 6.377 lawnmowers is false since the interval is for the population mean and not the sample mean.

C. Referring to the problem statement, of all possible samples of 100 stores taken from the population of 1,000 stores, 95% of the confidence intervals developed will contain the true population mean within the interval is true.

D. Referring to the problem statement, 95% of the stores have sold between 5.623 and 6.377 lawnmowers is false.

E. Referring to the problem statement, we do not know for sure whether the true population means between 5.623 and 6.377 lawnmowers sold is true since this is a confidence interval that has only 95% confidence to contain the true population means.

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The probability that a person will buy pop corn and soda is 9/20

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

probability = sample space / total possible outcome

The total possible outcome here is 100

The probability that a person will buy popcorn if they have already decided to buy soda = probability that a person will buy both soda and popcorn

therefore the probability of a person buying both soda and pop corn= 45/100=9/20

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The equation of given line in slope-intercept form is 5x – 4y + 20 = 0 if the line makes intercepts –4 and 5 on the x- and y-axes respectively.

The diagram of the straight condition y = mx + c is a line with m as incline, m and c as the y-block. This type of the direct condition is known as the incline block structure, and the upsides of m and c are genuine numbers. The incline, m, addresses the steepness of a line. The incline of the line is additionally named as inclination, in some cases. The y-catch, b, of a line, addresses the y-direction of the place where the chart of the line converges the y-hub.

We have x-intercept as -4 and y-intercept as 5

Equation of the line in intercept form is:

(x/a) + (y/b) = 1

Substituting the values of a and b, we get the equation as:

=>(x/-4) + (y/5) = 1

=>(-5x + 4y)/20 = 1

-=>5x + 4y = 20

=>5x – 4y + 20 = 0

Hence, line equation is 5x – 4y + 20 = 0

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(Complete question) is:

What is the equation of the given line in slope-intercept form if x-intercept is -4 and y intercept is 5?

Answer: If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.

The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles.

Step-by-step explanation:

Rate at which volume of the snowball decreasing when the radius is 12 cm is 180.864 cm^3/min

Given:

a spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min. at what rate is the volume of the snowball decreasing when the radius is 12 cm.

Let r be the radius of the spherical snowball

Radius is decreasing at rate of 0.1 cm/min.=> dr/dt = -0.1

(negative sign indicates decreasing)

Volume v = 4/3πr^3

dv/dt = 4/3 π 3r^2*dr/dt

= 12π/3*r^2*(-0.1)

= 4π*12^2*(-0.1)

= 4π*144*-1/10

= 4π*(-14.4)

= -57.6π

= 180.864 cm^3/min

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The net present value formula helps us to determine the net present value of boat repair model B14 model by Cleveland Cove enterprises.

so, the net present value is 384,285.714.

Net present value: The net present value is applied to a series of cash flows occurring at different times. The present value of a cash flow always depends on the interval of time between now and the cash flow.

NPV = Rt /(1+i)^t

where , Rt --> net cash flow at time t

i --> discount rate

t --> time of cash flow

We have given that , A company has narrowed their choices down to two: the B14 Model and the F54 Model.

F54 Model :

Residual value , = 18,000

Annual net cash inflow = 30,000

investment = 230,000

time , t = 10

rate of return,r = 12%

B14 Model :

Residual value , = 10,000

Annual net cash inflow = 80,000

investment = 330,000

time , t = 10

rate of return,r = 8%

we have to calculate the net present value for model B14.

so, Net present Value = present value of annually cash - investment

present value of annually cash

= 80000/1.12 = 71,428.571

Net present value =71,428.571 ×10 - 330000

= 714,285.71 - 330,000 = 384,285.714

hence, net present value for model B14 is 384,285.714

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Complete question:

Cleveland Cove Enterprises is evaluating the purchase of an elaborate hydraulic lift system for all of its locations to use for the boats brought in for repair. The company has narrowed their choices down to two: the B14 Model and the F54 Model. Financial data about the two choices follows. B14 Model investment 330,000 useful life (yr) 10 , estimated annual cash inflow 80,000

F54 Model Investment 230 comma 000 Useful life (years) 10 10 Estimated annual net cash inflows for useful life 33 comma 000 Residual value 18 comma 000 Depreciation method Straightminusline Straightminusline Required rate of return 12% 8% What is the net present value of the B14 Model?

The numbers that are n times 15 is known as multiple of 15. The numbers are 15, 30, 45, 60, 75, 90, 105, 120, 135, 150,..............

In the given question we have to find what is 15 a multiple of.

The numbers that are n times 15, where n is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so forth, are considered multiples of 15. Therefore, multiples are essentially any integer multiplied by n, where n is a list of all natural numbers. Thus, the multiples of 15 have the form of 15n, as in:

15×1, 15×2 ,15×3 ,15×4, 15×5, 15×6, 15×7, 15×8, 15×9, 15×10,....................

15, 30, 45, 60, 75, 90, 105, 120, 135, 150,................................

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Here rolling of a die is a trial for the experiment.It had 6 possible outcomes.

The most well-known kind of bite the dust is a six-sided shape with the numbers 1-6 put on the countenances. The worth of the roll is demonstrated by the quantity of "spots" appearing on the top. For the six-sided kick the bucket, inverse countenances are organized to continuously aggregate to seven.

Then,

A preliminary is a strategy that can be limitlessness rehashed and has a clear cut set of conceivable outcomes.Here moving of a kick the bucket is a preliminary for the experiment.It had 6 potential results.

So, option  (a) is correct

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The Null hypothesis:

H₀: μ₁=μ₂=μ₃

Alternative hypothesis:

H₁: Treatment means are all not same.

Given that,

Test the idea that the treatment means are equivalent at the 0.05 level of significance using the following data: six observations gathered from treatment 1, four observations gathered from treatment 2, and five observations gathered from treatment 3. treatment 1 therapy two therapies Required: 3 9 13 10 7 20 9 11 14 15 9 13 14 12 15 10.

We have to find name the null and the alternative hypotheses.

We know that,

For the given scenario, the null and alternative hypotheses are stated as below:

Null hypothesis:

H₀: μ₁=μ₂=μ₃

Alternative hypothesis:

H₁: Treatment means are all not same.

Therefore, The Null hypothesis:

H₀: μ₁=μ₂=μ₃

Alternative hypothesis:

H₁: Treatment means are all not same.

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Answer:

J = 5 + (R x 2)

Step-by-step explanation:

the best way I can answer it is in a equation.

Josue equals whatever 5 + Rachel's doubled age is.

The correct answer is the measure of two angles are 37.5° and 22.5°.

It is given that the measure of two angles are in the ratio 5:3 . Let the one angle be 5x and the other angle be 3x.

Difference of the angles = 5x - 3x

According to the question, the measure of the larger angle is 30° greater than half the difference of the angles

Thus we can write it as:

⇒ 5x - 1/2(5x-3x) =30°

⇒ 10x- (5x-3x) = 60°

⇒ 8x =  60°

⇒ x = 7.5°

Thus, the larger angle = 5x = 5×7.5= 37.5° and the smaller angle = 3x = 3× 7.5 = 22.5°

Hence, the measure of two angles are 37.5° and 22.5°.

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To calculate the mean of grouped data, the first step is to determine the midpoint of each interval, or class. These midpoints must then be multiplied by the frequencies of the corresponding classes. The sum of the products divided by the total number of values will be the value of the mean.

Mean = Sum / Number of terms

mean_of_points(data):

"""Calculate the mean of a given group of data points. You should not hard-code the dimensionality of the data points.

Arguments:

data: a list of lists representing a group of data points

Returns: a list of floats as the mean of the given data points """

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Answer:

Step-by-step explanation: