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3 years ago

Pls help it is due today

Mathematics

2 answers:

Serga [27]3 years ago

6 0

Answer:it increased

Step-by-step explanation:

a_sh-v [17]3 years ago

4 0

It increased that all

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An unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6

SIZIF [17.4K]

Answer:

Probability of rolling at least 4 sixes is 0.01696.

Step-by-step explanation:

We are given that an unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6 times.

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......$

where, n = number trials (samples) taken = 6 trials

r = number of success = at least 4

p = probability of success which in our question is probability of

rolling a “six", i.e; p = 0.20

Let X = Number of sixes on a die

So, X ~ Binom(n = 6, p = 0.20)

Now, Probability of rolling at least 4 sixes is given by = P(X $\geq$ 4)

P(X $\geq$ 4) = P(X = 4) + P(X = 5) + P(X = 6)

= $\binom{6}{4} \times 0.20^{4} \times (1-0.20)^{6-4}+\binom{6}{5} \times 0.20^{5} \times (1-0.20)^{6-5}+\binom{6}{6} \times 0.20^{6} \times (1-0.20)^{6-6}$

= $15 \times 0.20^{4} \times 0.80^{2}+6 \times 0.20^{5} \times 0.80^{1}+1 \times 0.20^{6} \times 0.80^{0}$

= 0.0154 + 0.00154 + 0.000064

= 0.01696

Therefore, probability of rolling at least 4 sixes is 0.01696.

8 0

3 years ago

Cube 1 has a volume of c3. The side lengths of Cube 2 are three units longer than those of Cube 1. What is the volume of Cube 2?

kotegsom [21]

Volume of a Cube:
Since all of the edges of a cube are of equal length, there is no need to differentiate between the length, width and height. The volume of a cube is determined by multiplying the length of three edges of the cube. Let "a" define the length of an edge of the cube.

Then the volume formula is defined as:
V = a × a × a
This formula is also written as V = a³.

If a = 5 feet, then the volume is found like this:
V = (5)³ = 5 × 5 × 5 = 125: Since each value is a measurement of feet, the volume is therefore 125 cubic feet.

Example 1: Find the volume of a solid cube shape box whose side is 13m.
Solution:
Given that: side a = 3m
Volume of the cube is therefore:
V = a³
V = 13³
V = 2197 m3

Example 2: Find the measure of volume of a cube for the given side length is 20 inches?
Solution:
Given that: Side a = 20 inches
Volume of the cube is therefore:
V = a³
V = 20³
V = 8000 in3
Therefore, volume of a cube is 8000 in3.


Example 3: Find the volume of a cube for the given side length 12.5 meter?
Solution:
Given that: Side a = 12.5 m
V = a³
V = 12.5³
V = 1953.125 m3
Therefore, the volume of the cube is 1953.125 cubic meter.

4 0

3 years ago

The carpenter stacked 15 sheets of wall board on top of each other. If each sheet is 5/8 inch thick, how high is the stack?

lora16 [44]

Answer:

9 3/8in thick

Step-by-step explanation:

(15*5)/8=

75/8=

9 3/8in thick

5 0

3 years ago

Find the product 3.14 times 8

Oksana_A [137]

Answer:

25.12

Step-by-step explanation:

You would multiply 3.14 times 8 to get 2512. From there you can notice that there are 2 points after the decimal place so you need to move it over 2 places. Your final answer would be 25.12.

7 0

3 years ago

A consistent system of equations is a system with __________.

mr_godi [17]

D. Intersecting lines and lines that have the same equation.

Hope this helps :)

4 0

4 years ago