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4 years ago

Find the solution 2x+5y=12

1 answer:

5 0

You can draw a graph of that equation. When you do that, the graph is a
straight line, and EVERY POINT on the line is a solution of the equation.
There are an infinite number of them.

You can find as many of them as you want. Pick any number you like
out of the air, and call it 'x'. Now find the number that's 2.4 more than
negative 0.4 of 'x' and that's 'y'. Together they form one solution to
the equation.

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The probability that a vehicle will change lanes while making a turn is 45%. Suppose a random sample of 7 vehicles are observed

Ksenya-84 [330]

Answer:

0.1529

Step-by-step explanation:

Given that:

Probability of changing lane ; p = 45% = 0.45

Sample size (number of trials) = n = 7

Probability that atleast 5 vehicles will change lane :

Using the binomial probability formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

(1 - p) = 1 - 0.45 = 0.55

P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)

P(x = 5) = 7C5 * 0.45^5 * 0.55^2

P(x = 5) = 21 * 0.45^5 * 0.55^2 = 0.117221

P(x = 6) = 7C6 * 0.45^6 * 0.55^1

P(x = 6) = 7 * 0.45^6 * 0.55^1 = 0.031969

P(x = 7) = 7C7 * 0.45^7 * 0.55^0

P(x = 7) = 1 * 0.45^7 * 0.55^0 = 0.003736

P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)

P(x ≥ 5) = 0.117221 + 0.031969 + 0.003736

P(x ≥ 5) = 0.152926

P(x ≥ 5) = 0.1529

6 0

3 years ago

Sound travels through air at about 344 meters per seconds when the temp. is 20 degrees c. If Enrique lives 2 kilometres from the

Vaselesa [24]

Answer:

(344*20) + ( 2*20) = (20*2) = ?

Step-by-step explanation:

8 0

3 years ago

What is the sum of the first 6 terms of this geometric sequence? –5, 10, –20, 40, …

yKpoI14uk [10]

-60 80 I think that's right I'm not for sure

6 0

4 years ago

Let U1, U2, and U3

lukranit [14]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

3 0

3 years ago

The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimete

finlep [7]

Answer:

The new pressure is 4.27 pounds

Step-by-step explanation:

In this question, we have the volume varying inversely as the pressure;

Firstly, let's say the volume is V and the pressure is P

Mathematically;

V ∝ 1/P

Let us insert a constant of proportionality K

⇒ VP = K

Let's calculate the value of K

K = 32 $cm^{3}$ × 8 = 256 $cm^{3} pounds$

Now in the second scenario, pressure is unknown but we know the volume to be 60 $cm^{3}$

Recalling; VP = K

P = K/V = 256 $cm^{3} pounds$ /60 $cm^{3}$ = 4.27 pounds

7 0

4 years ago

Read 2 more answers