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4 years ago

If 40% of a number is 56 what was the original number

1 answer:

7 0

$\begin{array}{ccc}100\%&-&x\\40\%&-56\end{array}\ \ \ |cross\ multiply\\\\40x=56\times100\\40x=5600\ \ \ \ \ |divide\ both\ sides\ by\ 40\\\\\boxed{x=140}$

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How do you find the median and standard deviation for 3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,

Rashid [163]

Answer:

Median is 6

standard deviation is 2.39

Step-by-step explanation:

the median is the mid number in the data set

The median formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number.

There are 51 data points in this set (n = 51)

so 51 / 2 = 25.5, the. number in the 25th slot is our median

3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11

the standard deviation is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

7 0

2 years ago

Determine and state the coordinates of the center and length of the radius of a circle whose equation is

padilas [110]

First, rewrite the equation in standard form.
The center-radius form of the circle equation is in the format:
(x – h)^2 + (y – k)^2 = r^2
with the center being at the point (h, k) and the radius being "r".

(x-3)^2 + (y+4)^2 = 81

From here, you can determine the center and radius. The center is at (3,-4) and the radius is 9.

4 0

3 years ago

Use area of squares to visualize Pythagorean theorem

docker41 [41]

We know that the Pythagorean Theorem is a² + b² = c² and that the area of a square is l x w.

Firstly, we'll have to find the two measures of the triangle that correspond to the areas.

Since the figures are squares, we know that the length and width values must be the same.

We could square the numbers to find the side lengths, however we would have to square them again when substituting for the Pythagorean Theorem, so we can leave them as-is and adjust the equation accordingly.

(33) + b² = (44)

Next, we'll subtract our smaller value from our larger.

b² = (11)

Once again, we could find the square root of this number, but we'd just have to square it again to find the area of the square, so we can just simply write our answer as 11 units.

Therefore, the area of the square is 11 units!

Hope this helped! :)

5 0

3 years ago

In retailing there is a direct interaction with *

Arlecino [84]

I’m retailing there is a direct interaction with the answer is all of the above

6 0

3 years ago

Please answer asap What is the value of x in the equation 3(2x + 4) = −6?

nydimaria [60]

First divide 3 both side
Than move 4 to another side
Than divide by 2
$\frac{3(2x + 4)}{3} = \frac{ - 6}{3 } \\ 2x + 4 = - 2 \\ 2x = - 2 - 4 \\ 2x = - 6 \\ \frac{2x}{2} = \frac{ - 6}{2} \\ x = - 3$

5 0

3 years ago