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Mila [183]
4 years ago
13

Solve the following equation 3x^2-2x= 5​

Mathematics
1 answer:
MariettaO [177]4 years ago
8 0

Answer:

x=−1

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.

8 0
3 years ago
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Answer
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Explanation
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3 years ago
What is the surface area of the tepee
Snowcat [4.5K]
The surface area of the teepee is 399.12 square feet
4 0
4 years ago
Small notebooks cost $3.50 and large notebooks cost $5.00. She needs to buy 31 notebooks, and she has $134 to spend. How many sm
Darina [25.2K]

Let's assume

number of small notebooks =x

number of large notebooks =y

we are given

total number of notebooks =31

so, we get

x+y=31

now, we can solve for y

y=31-x

we have

Small notebooks cost $3.50 and large notebooks cost $5.00

she has $134 to spend

so, we get

3.50x+5y=134

now, we can plug y

3.50x+5(31-x)=134

3.50x+5*31-5x=134

-1.5x+155=134

-1.5x+155-155=134-155

x=14

now, we can find y

y=31-14

y=17

so,

number of small notebooks is 14

number of large notebooks is 17.............Answer


6 0
4 years ago
Read 2 more answers
Apply the distributive property to create a equivalent expression: (m-3+4n)x(-8)
mestny [16]

Answer:

(m - 3 + 4n)

Step-by-step explanation:

Please use * or · to indicate multiplication, not the letter "x."

Try this:  Multiply (m - 3 + 4n) by -8 (distributive property for multiplication);

-8(m - 3 + 4n) = -8m + 24 - 32n

3 0
4 years ago
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