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tresset_1 [31]
3 years ago
5

Solve for 2a: a + 6 = 3a + 2 2a

Mathematics
1 answer:
rosijanka [135]3 years ago
6 0

Answer:

Break down the problem into these 2 equations.

a+6=3a+2

a+6=3a+2

a+6=2a

a+6=2a

Solve the 1st equation: a+6=3a+2a+6=3a+2.

a=2

a=2

Solve the 2nd equation: a+6=2aa+6=2a.

a=6

a=6

Collect all solutions.

a=2,6

a=2,6

Step-by-step explanation:

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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

<u><em>Let X = Number of sixes on a die</em></u>

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

<em />

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

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3 years ago
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3 years ago
Which of the following is the fastest unit rate ( 1 mile = 1,760 yards = 5,280 feet)
4vir4ik [10]

Answer:

A. 30 miles per hour

Step-by-step explanation:

If you divide 5,280 feet by 1,760, you get a quotient of 3. Then you multiply 10 times 3 to get 30 miles.

4 0
2 years ago
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Milo has 2 hours of free time. He spends 2/4 of an hour with his dog. He spends 3/4 of an hour drawing. What fraction of an hour
blagie [28]

Answer: 3/4 of an hour left.


Step-by-step explanation:

Step 1:  2 hours = 4/4 +4/4

Step 2: 4/4 - 2/4 = 2/4

Step 3: 4/4 - 3/4 = 1/4

Step 4: 2/4 + 1/4= 3/4

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3 years ago
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Answer:

B

Step-by-step explanation:

8 0
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