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3 years ago

Which question is a statistics question that anticipates variability?

Mathematics

1 answer:

elena55 [62]3 years ago

6 0

Answer:

D) What is the shoe size of the students in my school?

Step-by-step explanation:

"Students in my school" indicates that it is not talking about a particular student. It requires the average shoe size of everybody in the school. Therefore D is the answer.

You might be interested in

.Damian wrote the number five and thirty-eight thousandths as 5.38. Was he correct or not? if so, what was the error

eduard

Answer:

he is incorrect.

Step-by-step explanation:

It would be 5 and 38 HUNDRETHS because the first number after the decimal is the tenths.

5 0

2 years ago

A box designer has been charged with the task of determining the surface area of various open boxes (no lid) that can be constru

Viktor [21]

Answer:

1) $S = 2\cdot w\cdot l - 8\cdot x^{2}$ , 2) The domain of S is $0 \leq x \leq \frac{\sqrt{w\cdot l}}{2}$ . The range of S is $0 \leq S \leq 2\cdot w \cdot l$ , 3) $S = 176\,in^{2}$ , 4) $x \approx 4.528\,in$ , 5) $S = 164.830\,in^{2}$

Step-by-step explanation:

1) The function of the box is:

$S = 2\cdot (w - 2\cdot x)\cdot x + 2\cdot (l-2\cdot x)\cdot x +(w-2\cdot x)\cdot (l-2\cdot x)$

$S = 2\cdot w\cdot x - 4\cdot x^{2} + 2\cdot l\cdot x - 4\cdot x^{2} + w\cdot l -2\cdot (l + w)\cdot x + l\cdot w$

$S = 2\cdot (w+l)\cdot x - 8\cdpt x^{2} + 2\cdot w \cdot l - 2\cdot (l+w)\cdot x$

$S = 2\cdot w\cdot l - 8\cdot x^{2}$

2) The maximum cutout is:

$2\cdot w \cdot l - 8\cdot x^{2} = 0$

$w\cdot l - 4\cdot x^{2} = 0$

$4\cdot x^{2} = w\cdot l$

$x = \frac{\sqrt{w\cdot l}}{2}$

The domain of S is $0 \leq x \leq \frac{\sqrt{w\cdot l}}{2}$ . The range of S is $0 \leq S \leq 2\cdot w \cdot l$

3) The surface area when a 1'' x 1'' square is cut out is:

$S = 2\cdot (8\,in)\cdot (11.5\,in)-8\cdot (1\,in)^{2}$

$S = 176\,in^{2}$

4) The size is found by solving the following second-order polynomial:

$20\,in^{2} = 2 \cdot (8\,in)\cdot (11.5\,in)-8\cdot x^{2}$

$20\,in^{2} = 184\,in^{2} - 8\cdot x^{2}$

$8\cdot x^{2} - 164\,in^{2} = 0$

$x \approx 4.528\,in$

5) The equation of the box volume is:

$V = (w-2\cdot x)\cdot (l-2\cdot x) \cdot x$

$V = [w\cdot l -2\cdot (w+l)\cdot x + 4\cdot x^{2}]\cdot x$

$V = w\cdot l \cdot x - 2\cdot (w+l)\cdot x^{2} + 4\cdot x^{3}$

$V = (8\,in)\cdot (11.5\,in)\cdot x - 2\cdot (19.5\,in)\cdot x^{2} + 4\cdot x^{3}$

$V = (92\,in^{2})\cdot x - (39\,in)\cdot x^{2} + 4\cdot x^{3}$

The first derivative of the function is:

$V' = 92\,in^{2} - (78\,in)\cdot x + 12\cdot x^{2}$

The critical points are determined by equalizing the derivative to zero:

$12\cdot x^{2}-(78\,in)\cdot x + 92\,in^{2} = 0$

$x_{1} \approx 4.952\,in$

$x_{2}\approx 1.548\,in$

The second derivative is found afterwards:

$V'' = 24\cdot x - 78\,in$

After evaluating each critical point, it follows that $x_{1}$ is an absolute minimum and $x_{2}$ is an absolute maximum. Hence, the value of the cutoff so that volume is maximized is:

$x \approx 1.548\,in$

The surface area of the box is:

$S = 2\cdot (8\,in)\cdot (11.5\,in)-8\cdot (1.548\,in)^{2}$

$S = 164.830\,in^{2}$

4 0

2 years ago

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

antoniya [11.8K]

Answer:

Option C is the correct option.

Step-by-step explanation:

√ 8 • √ 5

Calculate the product

$= \sqrt{40}$

Simplify the radical expression

$= \sqrt{2 \times 2 \times 10}$

$= 2 \sqrt{10}$

Hope this helps...

Best regards!!

4 0

3 years ago

Y = 3x + 10 which order pair is x and y

Brums [2.3K]

Answer: (0,−10),(1,−7),(2,−4)

5 0

3 years ago

Percent of Change

Amanda [17]

Before we continue, note that "percent increase from 43 to 78" is the same as "the percentage increase from 43 to 78". Furthermore, we will refer to 43 as the initial value and 78 as the final value.

So what exactly are we calculating? The initial value is 43, and then a percent is used to increase the initial value to the final value of 78. We want to calculate what that percent is!

Here are step-by-step instructions showing you how to calculate the percent increase from 43 to 78.

First, we calculate the amount of increase from 43 to 78 by subtracting the initial value from the final value, like this:

78 - 43

= 35

To calculate the percent of any number, you multiply the value (n) by the percent (p) and then divide the product by 100 to get the answer, like this:

(n × p) / 100 = Answer

In our case, we know that the initial value (n) is 43 and that the answer (amount of increase) is 35 to get the final value of 78. Therefore, we fill in what we know in the equation above to get the following equation:

(43 × p) / 100 = 35

Next, we solve the equation above for percent (p) by first multiplying each side by 100 and then dividing both sides by 43 to get percent (p):

(43 × p) / 100 = 35

((43 × p) / 100) × 100 = 35 × 100

43p = 3500

43p / 43 = 3500 / 43

p = 81.3953488372093

Percent Increase ≈ 81.3953

That's all there is to it! The percentage increase from 43 to 78 is 81.3953%. In other words, if you take 81.3953% of 43 and add it to 43, then the sum will be 78.

The step-by-step instructions above were made so we could clearly explain exactly what a percent increase from 43 to 78 means. For future reference, you can use the following percent increase formula to calculate percent increases:

((f - n)/n) × 100 = p

f = Final Value

n = Initial Value

p = Percent Increase

Once again, here is the math and the answer to calculate the percent increase from 43 to 78 using the percent increase formula above:

((f - n)/n) × 100

= ((78 - 43)/43) × 100

= (35/43) × 100

= 0.813953488372093 × 100

≈ 81.3953

3 0

2 years ago