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4 years ago

Sovle by substitution. y = 3x − 5 y = 6x − 8

Mathematics

1 answer:

Dima020 [189]4 years ago

4 0

Answer:

y=3x+3

Step-by-step explanation:

3x -6x=3x

-5 - -8=3

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ATTEMPT SCORE 7 / 13 01 Fill in the Blank Text Fill in the blanks to show the product. 1. (x2 + 6) (2 - 4) = x T 2 + 2 2 + 24 2.

avanturin [10]

Fill in the blanks to show the product number 1X2

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3 years ago

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

Use mental math to find the unknown number in the equation 12 x b= 480

makkiz [27]

So find out what times twelve equals 48. Then add a zero in front and that is your answer.

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3 years ago

Read 2 more answers

List the elements of the set of all letters in the word "FOUR"

aleksley [76]

Answer:

{F, O, U, R} in the word 'FOUR'

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3 years ago

Mary logged into work at 8:10 am and logged out at 3:45 pm. How many hours did she work? (Her employer rounds to the nearest qua

Nataly [62]

I'm assuming your answers are listed as 1 through 4, not decimals.
You simply take 12 - 8 = 4, but ten min. less than that, so 3 hr, 50 min. then add 3 hr 45 min, totaling 7 hr 35 min. , which is closest to 7 and 1/2 hours, the second option.

8 0

3 years ago