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2 years ago

Kayla rolls two numbers cubes numbered 1 to 6. What is the probability that the sum of the numbers rolled will be 5

1 answer:

6 0

There are 2 cubes and each cube has 6 sides. There is a 1/6 chance of rolling a 5 for ONE cube (since each side is a different number ranging from 1 to 6). But, since we have to cubes, it would be 1/3. This is because your chance to roll a five is doubled due to 2 cubes.

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What is the product of (x-2)(x+2)?

Ilya [14]

Answer:

The difference of squares is (a - b)(a + b) = a² - b². Since a = x and b = 2, the answer is x² - 4.

6 0

3 years ago

Read 2 more answers

Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples

zheka24 [161]

Answer: a. 0.40 b. 0.23 c . 0.435 d . 0.25

Step-by-step explanation:

melanin content Total

high low

moisture high 13 10 23

content low 47 30 77

Total 60 40 <u> </u><u>100</u>

Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content.

a) Total skin samples has low melanin content = 10+30=40

P(A)= $\dfrac{40}{100}=0.40$

b) Total skin samples has high moisture content = 13+10=23

P(B) = $\dfrac{23}{100}=0.23$

c) A ∩ B = Total skin samples has both low melanin content and high moisture content =10

P(A ∩ B) = $\dfrac{10}{100}=0.10$

Using conditional probability formula , $P (A|B)=\dfrac{P(A\cap B)}{P(B)}$

$P (A|B)=\dfrac{0.10}{0.23}=0.434782608696\approx0.435$

d) $P (B|A)=\dfrac{P(A\cap B)}{P(A)}$

$P (B|A)=\dfrac{0.10}{0.40}=0.25$

8 0

3 years ago

13) The side length of the following cube is 8 cm. what is the length of the diagonal through its center?

Scorpion4ik [409]

Answer: $\sqrt{3}$ x 8 = 13.8564064606

Step-by-step explanation: The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3 ( $\sqrt{3}$ ). Therefore, square root 3 ( $\sqrt{3}$ ) is multiplied by the length (8 in our case) of either 6 faces of the cube.

Hope it helped!

5 0

3 years ago

Read 2 more answers

Find the value of'y'from the given figure<br><img src="https://tex.z-dn.net/?f=class8" id="TexFormula1" title="class8" alt="clas

telo118 [61]

Answer:

$y = 30$

<u>Skills needed: Angle Geometry</u>

Step-by-step explanation:

1) First, let's see what we should know prior to solving.

---> We have to find the value of $y$ , and looking at that diagram, we have to create an equation.

---> The angle measure of a straight line is 180 degrees, otherwise known as a straight angle (a straight angle is 180 degrees).

---> When you add $3y+3y$ , you can set that sum equal to 180. This is because the two angles marked $3y$ added together make a straight line, which is a straight angle.