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Dominik [7]
2 years ago
8

Nixon recycles 6 cans every week. Which expression shows the total number of cans he recycles in w weeks? 6 + w 6 + 5w w over 6

6w
Mathematics
1 answer:
inessss [21]2 years ago
7 0

Answer:

The expression is:

n = 6w

Step-by-step explanation:

  • let 'w' be the number of weeks
  • let 'n' be the total number of cans

As Nixon recycles 6 cans every week, so the expression becomes

n = 6w

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Which of the following terms correctly describes 4 : 1? A- Ratio B- Fraction C-Percent D- Factor
kvv77 [185]

Sabrehalrubeai,

In order to find the correct answer to this question we need to go over all of the options to see which one is the correct answer.

  • Ratio: 6 : 9 <---- Your answer....
  • Fraction: \frac{6}{9}
  • Percent: 35%
  • Factor: 4 \times 3 = 12

Therefore your answer is option A "ratio."

Hope this helps!

6 0
3 years ago
The equations of four lines are given. Identify which lines are parallel.
Stella [2.4K]
Lines 2 & 3 are parallel.
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Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if:a) a
lara31 [8.8K]

Answer:

A) 0.0009765625

B) 0.0060466176

C) 2.7756 x 10^(-17)

Step-by-step explanation:

A) This problem follows a binomial distribution. The number of successes among a fixed number of trials is; n = 10

If a 0 bit and 1 bit are equally likely, then the probability to select in 1 bit is; p = 1/2 = 0.5

Now the definition of binomial probability is given by;

P(K = x) = C(n, k)•p^(k)•(1 - p)^(n - k)

Now, we want the definition of this probability at k = 10.

Thus;

P(x = 10) = C(10,10)•0.5^(10)•(1 - 0.5)^(10 - 10)

P(x = 10) = 0.0009765625

B) here we are given that p = 0.6 while n remains 10 and k = 10

Thus;

P(x = 10) = C(10,10)•0.6^(10)•(1 - 0.6)^(10 - 10)

P(x=10) = 0.0060466176

C) we are given that;

P((x_i) = 1) = 1/(2^(i))

Where i = 1,2,3.....,n

Now, the probability for the different bits is independent, so we can use multiplication rule for independent events which gives;

P(x = 10) = P((x_1) = 1)•P((x_2) = 1)•P((x_3) = 1)••P((x_4) = 1)•P((x_5) = 1)•P((x_6) = 1)•P((x_7) = 1)•P((x_8) = 1)•P((x_9) = 1)•P((x_10) = 1)

This gives;

P(x = 10) = [1/(2^(1))]•[1/(2^(2))]•[1/(2^(3))]•[1/(2^(4))]....•[1/(2^(10))]

This gives;

P(x = 10) = [1/(2^(55))]

P(x = 10) = 2.7756 x 10^(-17)

3 0
3 years ago
Write an equation of the line below
gregori [183]

Answer:

The equation of the line is:

y = 4x + 3

Step-by-step explanation:

We know that the slope-intercept of line equation is

y = mx+b

Where m is the slope and b is the y-intercept

Given the two points on a line

  • (0, 3)
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Finding the slope between (0, 3) and (-2, -5)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-5\right)

m=\frac{-5-3}{-2-0}

m=4

We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.

From the graph, it is clear:

at x = 0, y = 3

Thus, y-intercept = b = 3

Substituting m = 4 and b = 3 in the slope-intercept form of line equation

y = mx+b

y = 4x + 3

Therefore, the equation of the line is:

y = 4x + 3

8 0
2 years ago
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