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Mathematics

1 answer:

GuDViN [60]3 years ago

8 0

6 floors with 10 rooms in each

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the classroom encyclopedia set fills a shelf that is 24 inches long each book is 3/4 inch thick how many books are in the classr

Damm [24]

32 books in the classroom set

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4 years ago

If you know the answer to this question please help!! ASAP<br> 7th grade Math

serious [3.7K]

Answer:

22°

Step-by-step explanation:

a right angle have 90°

x+68°=90°

=>x=90-68

=22°

3 0

3 years ago

4. A drawer contains 21 black socks and 9 white socks. A number generator simulates randomly selecting 10 socks from the drawer.

Nookie1986 [14]

There are 21 black socks and 9 white socks. Theoretically, the probability of picking a black sock is 21/(21+9) = 21/30 = 0.70 = 70%

Assuming we select any given sock, and then put it back (or replace it with an identical copy), then we should expect about 0.70*10 = 7 black socks out of the 10 we pick from the drawer. If no replacement is made, then the expected sock count will likely be different.

The dot plot shows the data set is

{5, 5, 6, 6, 7, 7, 7, 8, 8, 8}

The middle-most value is between the first two '7's, so the median is (7+7)/2 = 14/2 = 7. This can be thought of as the average expected number of black socks to get based on this simulation. So that's why I consider it a fair number generator because it matches fairly closely with the theoretical expected number of black socks we should get. Again, this is all based on us replacing each sock after a selection is made.

4 0

3 years ago

What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?

olchik [2.2K]

Option A: $\frac{1}{3}$ is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

To determine the scale factor, let us divide A'C' by AC

Thus, we have,

$\begin{aligned}A^{\prime} C^{\prime} &=\sqrt{(-4+7)^{2}+(3-6)^{2}} \\&=\sqrt{3^{2}+(-3)^{2}} \\&=\sqrt{9+9} \\&=\sqrt{18}\\&=3\sqrt{2} \end{aligned}$