Ask question

Ask question

All categories

Lostsunrise [7]

3 years ago

9

Millie expected 20 friends to show up to her birthday party, but 24 attended. What was

1 answer:

tankabanditka [31]3 years ago

8 0

Answer:

Her percent error was: ≈ 17% (whole percent)

Step-by-step explanation:

Given

Approximate value = 20 friends

Exact Value = 24 friends

To determine

Percent error

Using the formula to calculate the Percent error

Percent error = | Approximate Value| - Exact Value | / | Exact value | × 100

= | 20 - 24 | / | 24 | × 100

= | - 4 | / | 24 | × 100

Apply absolute value: |-a| = a, a>0

= 4/24 × 100

= 16.67 %

≈ 17% (whole percent)

Thus, her percent error was: ≈ 17% (whole percent)

You might be interested in

Calculus Problem

Roman55 [17]

The two parabolas intersect for

$8-x^2 = x^2 \implies 2x^2 = 8 \implies x^2 = 4 \implies x=\pm2$

and so the base of each solid is the set

$B = \left\{(x,y) \,:\, -2\le x\le2 \text{ and } x^2 \le y \le 8-x^2\right\}$

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, $|x^2-(8-x^2)| = 2|x^2-4|$ . But since -2 ≤ x ≤ 2, this reduces to $2(x^2-4)$ .

a. Square cross sections will contribute a volume of

$\left(2(x^2-4)\right)^2 \, \Delta x = 4(x^2-4)^2 \, \Delta x$

where ∆x is the thickness of the section. Then the volume would be

$\displaystyle \int_{-2}^2 4(x^2-4)^2 \, dx = 8 \int_0^2 (x^2-4)^2 \, dx \\\\ = 8 \int_0^2 (x^4-8x^2+16) \, dx \\\\ = 8 \left(\frac{2^5}5 - \frac{8\times2^3}3 + 16\times2\right) = \boxed{\frac{2048}{15}}$

where we take advantage of symmetry in the first line.

b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

$\dfrac\pi8 \left(2(x^2-4)\right)^2 \, \Delta x = \dfrac\pi2 (x^2-4)^2 \, \Delta x$

We end up with the same integral as before except for the leading constant:

$\displaystyle \int_{-2}^2 \frac\pi2 (x^2-4)^2 \, dx = \pi \int_0^2 (x^2-4)^2 \, dx$

Using the result of part (a), the volume is

$\displaystyle \frac\pi8 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{256\pi}{15}}}$

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

$\dfrac{\sqrt3}4 \left(2(x^2-4)\right)^2 \, \Delta x = \sqrt3 (x^2-4)^2 \, \Delta x$

and using the result of part (a) again, the volume is

$\displaystyle \int_{-2}^2 \sqrt 3(x^2-4)^2 \, dx = \frac{\sqrt3}4 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{512}{5\sqrt3}}$

7 0

2 years ago

WHOEVER ANSWERS THIS FIRST WITHIN 10 MINUTES GETS VOTED BRAINLIEST

user100 [1]

Answer:

least

x

second least

-1/x

second greatest

x-1

greatest

1-x

Step-by-step explanation:

just put -14 where x is and put it in the calculator.

6 0

3 years ago

16. An experiment is carried out to determine how different pH values of soil will affect the growth of tomato plants. In this

svetoff [14.1K]

Step-by-step explanation:

2. Amount of soil provided.

In order to give different pH values of the soil, the amount of soil can directly affect this independent variable.

6 0

3 years ago

A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red

Daniel [21]

The answer is gonna be 40

8 0

3 years ago

The graph of the function B is shown below. If B(x) = -1, then what is x?

Salsk061 [2.6K]

Answer:

there isnt enough info

Step-by-step explanation:

5 0

4 years ago