What is the LCM of two numbers if one number is a multiple of another give an example

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

2 years ago

Simplify the following rational expression and express in expanded form.

VladimirAG [237]

Answer:

D m = $-\frac{3}{8}$

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> $\frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}$

=> $-\frac{2m + 1}{8m + 3}$

to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:

=> $-\frac{2m + 1}{8(-\frac{3}{8} ) + 3}$ = $-\frac{2m + 1}{-3 + 3}$ = $-\frac{2m + 1}{0}$

in this case, the values of m from option D make the denominator of the fraction equals 0.

6 0

3 years ago

The value of 4 less than the product of 0.25 and x is greater than 6.

ella [17]

Answer:

0.25x - 4 > 6

7 0

2 years ago

The chart below summarizes Ralph's annual expenses for the upcoming year. Based on the information in the graph, approximately w

kenny6666 [7]

Answer:

The Federal taxes of total budget is 30%

C is correct.

Step-by-step explanation:

The chart below summarizes Ralph's annual expenses for the upcoming year.

We need to find the percentage for federal taxes.

First we find total annual budget from chart. We will add all the taxes.

Total annual budget = Federal taxes + State tax + Housing + Food + Medical +

Transportation + Recreation

Total Annual Budget = 18380 + 3448 + 15000 + 4880 + 6652 + 4332 + 3500 +

3260 + 1750

= 61202

Total Annual Budget = $61,202

Federal Taxes = $18,380

Now, we will find the percentage of federal taxes.

% of federal taxes $=\dfrac{18380}{61202}\times 100$

$=30.03\approx 30\%$

Hence, The Federal taxes of total budget is 30%

7 0

3 years ago

Read 2 more answers

The production of what number and 7 is less than 49

MArishka [77]

Many numbers, when multiplied by $7$ , are less than $49$ . We can find an inequality for numbers $x$ that are sufficient.

Clearly, $7x < 49$ is the desired inequality. We divide by 7 to find that $x < 7$ determines working numbers.

4 0

3 years ago