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-Dominant- [34]
2 years ago
10

A classic children's toy consists of 13 different blocks that combine to form a rectangle showing a man's face. Each block has f

our sides with alternatives for that part of the face; for example, the block for the right eye might have a closed eye on one side, a partially open eye on another, and so on. A child can turn any block and so change that part of the face, and in this way many different faces can be formed.
How many different faces can be formed by the children's toy?
Mathematics
1 answer:
Gwar [14]2 years ago
8 0

Answer: 67,108,863 combinations.

Step-by-step explanation:

We have 13 blocks.

Each block has 4 differet options.

The total number of combinations is equal to the product of the options for each variable (the variables are the 13 blocks) so we have that the number of combinations is:

C = 4*4*4*4*4*4*4*4*4*4*4*4*4 = 4^13 = 67,108,863

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sophie makes homemade pizza dough.The recipe calls for 2 cups of flour for every 1/3 cup of water.What is the rate in cups of fl
Zarrin [17]

Answer:

the rate is: 6 cups of flour per cup of water

Step-by-step explanation:

Recall that rate involve quotient of the two quantities in question:

Then cups of flour per cups of water is the quotient: 2 cups of flour divided by 1/3 cup of water:

\frac{2}{\frac{1}{3} } =2\,*\,\frac{3}{1} = 6

this means 6 cups of flour per cup of water

6 0
2 years ago
Read 2 more answers
Sociologists want to test whether the number of homeless people in a particular urban area is increasing. In 2010, the average n
Kobotan [32]

Answer:

The test statistic value is 15.3.

Step-by-step explanation:

The hypothesis for this test is:

<em>H</em>₀: The average number of homeless people is not increasing, i.e. <em>μ</em> = 42.3.

<em>H</em>ₐ: The average number of homeless people is increasing, i.e. <em>μ</em> > 42.3.

Given:

\bar x=45.3\\\sigma=6.2\\n=1000

As the population standard deviation is provided use a single mean <em>z</em>-test for the hypothesis testing.

The test statistic is:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{45.3-42.3}{6.2/\sqrt{1000}}=15.3

Thus, the test statistic value is 15.3.

7 0
2 years ago
I WILL GIVE BRAINLEST PLZ HELP!!!
adell [148]

Step-by-step explanation:

The Slope is calculated as the change in y over the change in x so you would need to do 5- (-5) which turns the negative sign to a positive making it 5+5=10 and the same thing with the 2s 2-(-2)=4 so the answer would be 10/4 or 5/2. Willa did the reciprocal.

if it's a multiple chose then the answer is b

hope this helps

7 0
2 years ago
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Circle C is shown. Secants U W and Y W intersect at point W outside of the circle. Secant U W intersect the circle at point V an
Nookie1986 [14]
78 degrees mArc V X in the diagram
4 0
2 years ago
Two similar bottles are shown. the smaller bottle can hold 500ml. how much can the larger bottle hold. the smaller bottle is 15
tankabanditka [31]

Answer:

If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)

Step-by-step explanation:

Step 1: Formula of volume of a cylinder is pi*r^2*h

where value of pi is 3.14

r is the radius

h is the height of the bottle (height is different for both bottles)

After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.

You can extract the radius by following this method:

Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)

500 = 3.14 * (r)^2 *15

500/(3.14*15) = r^2

10.616 = r^2

Taking sqrt. on both sides

We get r = 3.26

Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.

V= 3.14 * (3.26)^2 *21

V= 701.14 (approx)

5 0
2 years ago
Read 2 more answers
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