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The median of the given data is 131, which is the average of the two middle values of the box plot range.

The given box-and-whisker plot represents the average speed of a certain car for several laps. The median value is the middle value of the data when it is arranged in ascending or descending order. In this case, the median is the value that divides the box into two equal halves.

Since the box plot range is from 126 to 131 and 131 to 135, the median value would be the average of the two middle values, which are 131 and 131. Therefore, the median of the given data is (131+131)/2 = 131.

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The lifetime budget constraint can be represented on a diagram by plotting C₁ on the x-axis and C₂ on the vertical axis.

The lifetime budget constraint illustrates the consumption possibilities for an individual over their lifetime. It shows the combinations of consumption in period 1 (C₁) and period 2 (C₂) that the individual can afford, given their initial endowment and borrowing constraints. The slope of the budget constraint represents the relative price of consumption in the two periods. The individual's budget constraint will shift outward if there is an increase in the initial endowment or a relaxation of borrowing constraints.

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a. Key question: Does completing the training course have a significant effect on the IQ scores of college students?b. Procedure/tool: Paired t-test or paired difference test can be utilized to analyze the data

To address the key question, we compare the pre-course (x) and post-course (y) IQ scores of the ten randomly selected college students. We calculate the differences between the pre-course and post-course IQ scores for each student: (-6, -5, -6, -30, 13, 21, 21, 30, 15, 7).

Next, we compute the mean difference, which is 7.2, and the standard deviation of the differences, which is 13.95.

Using a statistical software or calculator, we perform a paired t-test on the differences. Assuming a significance level of 0.05, we find that the calculated t-value is 0.517 and the corresponding p-value is 0.615.

Since the p-value is greater than the significance level, we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that completing the training course has a significant effect on the IQ scores of college students based on the given data.

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a) When Lily's age is 20, and Raphael's age is divided by 3 then the expression of Lily's age in terms of h is h < 10.

b) Ethan's age is half of Raphael's age therefore, Ethan's age is half Raphael's age.

a) If Raphael is twice as old as his sister Lily, we can represent their ages as 2h and h, respectively, where h is Lily's age. The sum of their ages is less than 30, so we can write the equation:

2h + h < 30

Combining like terms, we get:

3h < 30

Dividing both sides by 3, we get:

h < 10

This is an expression of Lily's age in terms of h.

b) If Ethan's age is 16, and Raphael's age is twice Ethan's age, we can represent Raphael's age as 2 × 16 = 32.

Ethan's age is 16, which is half of Raphael's age of 32. Therefore, Ethan's age is half of Raphael's age.

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The question is -

Raphael is twice as old as his sister. The sum of their ages is less than 30.

a) Lily's age is 20, and Raphael's age is divided by 3. Write an expression in terms of h for Lily's age.

b) An expression for Ethan's age 16. Write a sentence to describe how Ethan's age compares with Raphael's age.

Answer:7.5

Step-by-step explanation:

6*0.25=7.5

Answer:

I will answer with the best of my ability and apologize for any and all inconveniences. The answer I have gotten is

.10445833

The final value of the product = 292

According to the given equation -

= (4a2+3b)x(4a2+36)

multiply the whole equation-

= 16a4+144+12a2b+108

as we can see that the values of a and b are given 1 and 2 respectively,

so putting the values of a and b in the equation we get -

= 16(1)4+144+12(1)2(2)+108

= 292

The product of the following equation will be = 292

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Answer:

D

Step-by-step explanation:

(-2,-2) is where both the lines intersect

The partial derivative with respect to x at the given point is 2e^4, and the partial derivative with respect to y at the given point is 8e^4.

To find the partial derivatives of f(x,y) = exy^2, we differentiate f with respect to x and y, treating the other variable as a constant. So,

fx(x,y) = y^2exy^2

fy(x,y) = 2xyexy^2

At the point (ln 2, 2), we have:

fx(ln 2, 2) = 2e^4

fy(ln 2, 2) = 8e^4

Therefore, the partial derivative with respect to x at the given point is 2e^4, and the partial derivative with respect to y at the given point is 8e^4.

These partial derivatives give us information about how the function changes in each direction at the given point.

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Answer:

3500

Step-by-step explanation:

9 rounds up the number 4 to 5

3500

Answer:

3,500

Step-by-step explanation:

because 9 is greater than 5 so u would round upward and that 495 would become a 500 but theres also the 3,000 so add the two together and you would get 3,500

Answer:

122

Step-by-step explanation:

The exterior angle of a triangle is the sum of the opposite interior agnles

32+90 =x

122 =x

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

\( \bf \large \hookrightarrow \: \: x \: = \: 32 \degree \: + \: 90 \degree \)

\(\bf \large \hookrightarrow \: \: x \: = \: 122 \degree\)

The battery life of the phones follows a normal distribution with a mean of 5 hours and a standard deviation of 15 minutes. We need to calculate percentage without using the % sign and rounded to one decimal place.  

To solve this problem, we need to convert the given battery life values into the same units as the mean and standard deviation. Since the mean is in hours and the standard deviation is in minutes, we convert 4.5 hours to minutes by multiplying it by 60, and 5.25 hours by multiplying it by 60.

The converted values are 270 minutes and 315 minutes, respectively.   Next, we use the properties of a normal distribution to calculate the percentage of cell phones with a battery life between these two values. We can use a Z-table or a statistical calculator to find the corresponding Z-scores for these values. Once we have the Z-scores, we can find the percentage by subtracting the cumulative probability associated with the lower value from the cumulative probability associated with the higher value.  

Using the Z-table or a statistical calculator, we find that the Z-score for 270 minutes is approximately -1.33, and the Z-score for 315 minutes is approximately 0.33. Subtracting the cumulative probability corresponding to -1.33 from the cumulative probability corresponding to 0.33 gives us the desired percentage.  

Therefore, the percentage of cell phones with a battery life between 4.5 hours and 5.25 hours is approximately 62.8 (rounded to one decimal place without the % sign).

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The functions have the same y-intercept. = true

Both functions are increasing on all intervals of x = true

Both functions approach - as x approaches = false

Both functions approach the same value as x approaches = false

The functions have the same x-intercept.​ = false

Step-by-step explanation:

soln:

let,

(x1,y1) =(2,4)

(x2,y2)=2,-7)

Now,

By midpoint formula,

×= x1+x2

2

= 2+2

2

=4

2

=2,,

And,

Y=y1+y2

2

=4-7

2

= -3

2

Hence ,

The mispoint between points (2,4) and (2,-7) is (2,-3 )

2

Since nickel is 5 cents and a dime is 10 cents, the possible tolls that you can pay need to be multiplies of 5 cents.

Let on represent the number of a ways

for the number of different ways the bus

The driver can pay a toll of 5n rent first case.

The first case used in a nickel then there are ways to pay =

57 - 5 = 5 ( 1 - 1 ) cents

The second case: - The coin used is a dime, then

there is a long way to

pay 5n - 10 2 5 ( 1 - 2 ) cents -

Adding the numbers of sequence of all

In three cases, we then obtain

an = an - 1 an +2

Initially, when n 20 there is exactly I way to pay cents ( using no coins )

when an = 1 there is exactly I to way

to pay 5 cents ( using one tickle )

q =f .

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Answer:

20,000

Step-by-step explanation:

To round numbers to the nearest ten thousand, make the numbers whose last four digits are 0001 through 4999 into the next lower number that ends in 0000. For example 54,424 rounded to the nearest ten thousand would be 50,000.

ANSWER

EXPLANATION

After we rewrite this as a multiplication we have to do the multiplication. The result is a fraction whose numerator is the product of the numerators of the fractions and the denominator is the product of the denominators,

Then, the GCF between the numerator and denominator is 2, so we have to divide both by 2,

Hence, the answer is 5/7

Histograms are used to determine the empirical distribution of a variable. Therefore, option (e) is the correct one.

Histogram is used to summarize discrete or continuous data measured on an interval scale. It is often used to describe key features of the distribution of data in a practical way.

A histogram divides the range of possible values ​​in a data set into different classes or groups. For each group, a rectangle is created with a base length equal to the range of values ​​in that particular group and a length equal to the number of observations that fall into that group.

Histograms are similar to column charts, but there are no gaps between the bars. Histograms generally have equal width bars.

Thus, it can be concluded that histograms are used to determine the empirical distribution of a variable. Therefore, option (e) is the correct one.

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Answer:

v=− 1± i  √35 /6

Step-by-step explanation:

Solve the equation for  v  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

\(f(x) = 4tan(8\pi) + 4sec^2(8\pi)(x - 8\pi) + 8sec^2(8\pi)tan(8\pi)(x - 8\pi)^2/2!\)

This expression represents the first three nonzero terms of the Taylor series expansion for f(x) = 4tan(x) centered at c = 8π.

What is the trigonometric ratio?

the trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

To find the first three nonzero terms of the Taylor series for the function f(x) = 4tan(x) centered at c = 8π, we can use the definition of the Taylor series expansion.

The general formula for the Taylor series expansion of a function f(x) centered at c is:

\(f(x) = f(c) + f'(c)(x - c)/1! + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...\)

Let's begin by calculating the first three nonzero terms for the given function.

Step 1: Evaluate f(c):

f(8π) = 4tan(8π)

Step 2: Calculate f'(x):

f'(x) = d/dx(4tan(x))

= 4sec²(x)

Step 3: Evaluate f'(c):

f'(8π) = 4sec²(8π)

Step 4: Calculate f''(x):

f''(x) = d/dx(4sec²(x))

= 8sec²(x)tan(x)

Step 5: Evaluate f''(c):

f''(8π) = 8sec²(8π)tan(8π)

Step 6: Calculate f'''(x):

f'''(x) = d/dx(8sec²(x)tan(x))

= 8sec⁴(x) + 16sec²(x)tan²(x)

Step 7: Evaluate f'''(c):

f'''(8π) = 8sec⁴(8π) + 16sec²(8π)tan²(8π)

Now we can write the first three nonzero terms of the Taylor series expansion for f(x) centered at c = 8π:

f(x) ≈ f(8π) + f'(8π)(x - 8π)/1! + f''(8π)(x - 8π)²/2!

Simplifying further,

Hence, \(f(x) = 4tan(8\pi) + 4sec^2(8\pi)(x - 8\pi) + 8sec^2(8\pi)tan(8\pi)(x - 8\pi)^2/2!\)

This expression represents the first three nonzero terms of the Taylor series expansion for f(x) = 4tan(x) centered at c = 8π.

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Answer:

4

Step-by-step explanation:

half gallon is 64 oz. 256 ÷ 64 is 4

Answer

4

Step-by-step explanation:

1 gallon = 128 fluid ounces

1/2 gallon = 64 fluid ounces

Use gallons to convert 256 fl oz then multiply result by 2

256 / 128 = 2

2 x 2 = 4

4 half gallon containers

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

A. 0.7

B. 0.7

C. 0.07

Step-by-step explanation:

7/10=0.7

70/100=0.7

7/100=0.07

The anticipated daily production 3 years from now is approximately 385 units per day.

To determine the anticipated daily production 3 years from now, we can use the logistic growth model. The logistic growth model is given by the equation:

P(t) = K / (1 + A * e^(-k*t))

Where:

P(t) is the population (or in this case, daily production) at time t

K is the carrying capacity or the maximum production limit

A is the initial difference between the carrying capacity and the initial production

k is the growth rate

t is the time in years

Given the information:

Initial production (t = 0): 200 units per day

Production after 1 year (t = 1): 250 units per day

Maximum production limit (K): 500 units per day

We can use these values to find the growth rate (k) and the initial difference (A):

A = K - P(0) = 500 - 200 = 300

P(1) = K / (1 + A * e^(-k*1)) = 250

250 = 500 / (1 + 300 * e^(-k))

1 + 300 * e^(-k) = 500 / 250 = 2

300 * e^(-k) = 2 - 1 = 1

e^(-k) = 1/300

-k = ln(1/300)

k ≈ -5.703

Now, we can calculate the anticipated daily production 3 years from now (t = 3):

P(3) = K / (1 + A * e^(-k*3))

P(3) = 500 / (1 + 300 * e^(-5.703 * 3))

P(3) ≈ 385 units per day

Therefore, the anticipated daily production 3 years from now is approximately 385 units per day.

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Answer:

11 - 5 = 6

24/6= 4

4 X 11 = 44

4 X 5 = 20

44 students in math class

Answer:

A. No, Should not in any way write the check today and neither record the expense or even write the check tomorrow.

B. The company will be affected if the check

was cut today and the expense was not recorded, which means that the net income of the current fiscal year will be increased by the amount of $2,000 while the net income of the next year will be reduced by the amount of $2,000 and this tend to happens due to some error.

Step-by-step explanation:

A. Based on accounting principle every debit entry must have a corresponding credit entry which means that in a situation where a check is been cut today for miscellaneous expense and for supplies the Miscellaneous expense account should be debited while the bank account should as well be credited based on the double entry principle because if not so the current year net income will wrongly shows and be higher with the amount of $2,000.

B. In a situation where the check was cut today and expense was recorded the following day or tomorrow it means that the current year financial statement net income will be increased by the amount of $2,000 while the amount shown in the balance sheet will decreased by the amount of $2,000.

Therefore I can issue a check today and as well record the expense the same day in which the check was issued.

Following are the solution to the given question:

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{ 0,2,4,6,8} is  the complement of the set.

What is natural number in math?

Is zero a natural number?

u = {0, 1, 2, 3, 4, 5, 6, 7, 8}

Odd number less than 8  = { 1,3,5,7 }

complement =  {0, 1, 2, 3, 4, 5, 6, 7, 8} -  { 1,3,5,7 }

                     = { 0,2,4,6,8}

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Answer:

40

Step-by-step explanation:

...... ...... ...... ..... .

Answer:

25

Step-by-step explanation:

4 times 3 is 12

5 times 3 is 15

15 plus 12 is 25

Hello!

(4*3) + (3*5)

= 12+15

= 27

Answer:

0.1875

Step-by-step explanation: