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olganol [36]
3 years ago
11

A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8

Mathematics
1 answer:
aleksklad [387]3 years ago
4 0

Answer:

9/64

Step-by-step explanation:

The probability that the marble on the first draw is blue is 3/8.

The probability that the marble on the second draw is blue is also 3/8.

So the probability that both are blue is:

3/8 × 3/8 = 9/64 ≈ 14%

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Answer:

11.2 units

Step-by-step explanation:

From (-7, -7) to (-2, 3) is 5 units horizontally  and  10 units vertically.  Thus we have a right triangle with sides 5 and 10 respectively.  The length of the hypotenuse of this triangle is the distance between (-2, 3) & (-7, -7):

d = √(5² + 10²) = √(25 + 100) = √125 = √25√5, or 5√5.

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Answer:

a) In the interval of [1980,1983].

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Step-by-step explanation:

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The fuel efficiency, for the cars, in x years after 1980, is given by:

E(x) = 0.36x + 15.9

15.9 is the fuel efficiency in 1980.

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From 1980 to:

E(x) < 17

0.36x + 15.9 < 17

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x < \frac{1.1}{0.36}

x < 3.06

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In the interval of [1980,1983].

b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?

From x until 1996.

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x > \frac{4.1}{0.36}

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4 0
2 years ago
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2 years ago
How do you solve and graph a piece wise function and state the domain and range?
nevsk [136]
For 3)  check the picture, on the right-hand-side

now for 4) check the picture on the left-hand-side

if you notice the intervals, it goes from -∞ and stops at -2, then goes from 2 over to 3, then from 3 onwards, so the domain will also be (-∞ , +∞).

Now, the range...

the 1st subfunction 3-x is just a line coming down form -∞....

the 2nd subfunction is just 2x, also a line going up, now once you get to

the 3rd subfunction is just 5, meaning y = 5, or f(x) = 5, which is just a horizontal line at y = 5.

since the 3rd subfunction goes from x > 3 onwards to +∞, and is just a horizontal line, it doesn't go below 5, so one would think the range is -∞, 5.

however, from the 2nd subfunction if we use say x = -1.9999, 2x ---> 2(-1.9999) = -3.9998 , that's lower than 5, and that's the lowest the piece-wise goes, thus, the range comes from -∞ and goes as low as -3.9998,  (-∞ ,-3.9998]

notice, we didn't use -2, because the 2nd subfunction 2x, doesn't include it in its range -2 < x ⩽ 3.

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5 0
3 years ago
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