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IRISSAK [1]
2 years ago
14

Is (4,3) a solution for y=3x-9 y=1/2+1

Mathematics
1 answer:
tamaranim1 [39]2 years ago
8 0
(4,3) is a solution for y=3x-9 but not y=1/2+1.
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Step by step please and thank you.
cupoosta [38]

Answer:

  the probability is 2/9

Step-by-step explanation:

Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).

  p(dime first) = 4/10 = 2/5

Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.

The joint probability of these two events occurring sequentially is the product of their probabilities:

  p(dime then nickel) = (2/5)×(5/9) = 2/9

_____

<em>Alternate solution</em>

You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.

  p(dime/nickel) = 20/90 = 2/9

8 0
3 years ago
Find the dot product of the position vectors whose terminal points are (14, 9) and (3, 6).
erma4kov [3.2K]

Answer:

Step-by-step explanation:

The formula for the dot product of vectors is

u·v = |u||v|cosθ

where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.

|u|=\sqrt{14^2+9^2} which is \sqrt{277}

|v|=\sqrt{3^2+6^2} which is \sqrt{45}

I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.

We also need the angle, which of course has its own formula.

cos\theta=\frac{uv}{|u||v|} where uv has ITS own formula:

uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.

uv = 96.

To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:

cos^{-1}\theta=\frac{96}{111.64676} which returns an angle measure of 30.7. Plugging that all into the dot product formula:

u*v=\sqrt{277}*\sqrt{45}cos(30.7) gives you a dot product of 96

6 0
3 years ago
Two skateboarders start a race at the same time. Skateboarder A travels at a steady rate of 15 feet per second. Skateboarder B t
bezimeni [28]

Answer:

Skateboarder B will have traveled 1,680 feet farther.

Step-by-step

Possible reasoning: There are 240 seconds in 4 minutes

3 0
2 years ago
During the days leading up to her piano recital, Lana practiced an average of 1 5/12 hours per day. Her total practice time was
marshall27 [118]

Answer:

<h2>8</h2>

Step-by-step explanation:

Divide 11 1/3 by 1 5/12 to find out the rough amount of days she practiced.

11.3333/1.41667 = 7.9999 or about 8

PLEASE MARK BRAINLIEST!

8 0
3 years ago
When a snozzberry marmalade machine works at 100% of its capacity, it can make 500 jars of snozzberry marmalade per hour. How ma
Amiraneli [1.4K]

Answer:

350

Step-by-step explanation:

500*70%=350

3 0
3 years ago
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