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3 years ago

What is the circumference of the circle? Use a = 3.14. Round your answer to the

Mathematics

1 answer:

larisa [96]3 years ago

3 0

Answer: 53.4 cm

Step-by-step explanation:

The formula for circumference is C=2πr or C=πd. These equations are the same. Since the problem gives us the diameter, we'll go ahead and use C=πd.

C=(3.14)(17)

C=53.38=53.4 cm

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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

Solve for x: x/-6 ≥ -20?

34kurt

Answer: x ≤ 120

Step-by-step explanation: To get x by itself in this inequality, since it's being divided by -6, we must multiply both sides by -6, just like we would if we were solving an equation, but here is the trick you have to watch out for with inequalities.

When you multiply or divide both sides of an inequality by a

negative, you must switch the direction of the inequality sign.

So our second step in this problem reads x ≤ 120.

Please give this idea your full attention.

Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when multiplying or dividing both sides of an inequality by a negative.

5 0

3 years ago

Read 2 more answers

- An expression is shown. 12.3 - (-21.45) What is the value of the expression?

Rus_ich [418]

Answer:

33.75

Step-by-step explanation:

12.3 -(-21.45)

12.3 + 21.45 (because minus of minus becomes plus)

33.75

6 0

2 years ago

−15x+60≤105 AND14x+11≤−31

Mice21 [21]

Answer:

-15x<=45 and 14x<=-42

x>=45/-15 and x<=-42/14

x>=-3 and x<=-3

so x=-3

Step-by-step explanation:

6 0

3 years ago

-4(3x-5) find the product

Savatey [412]

-12x+20 is the product

7 0

3 years ago

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