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Shtirlitz [24]
3 years ago
12

You have 15 pennies in your pocket. Of those pennies, 4 are Canadian. Suppose you pick a penny out of your pocket at random. Fin

d P(not Canadian).
Mathematics
1 answer:
vlada-n [284]3 years ago
6 0

Answer:

11/15

Step-by-step explanation:

If 4 out of 15 are Canadian, the ratio of the probability of picking a Canadian is 4/15.  That means that the probability of NOT picking a Canadian is the complement of 4/15 which is 11/15.  Therefore, the probability of not picking a Canadian is the same thing as the probability of picking an American penny which is 11/15.

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I am a number between 78<br> and 88. I have a 3 in the<br> ones place. What number<br> am I?
dezoksy [38]
83, the only number between 78 and 88 that has a 3 in the ones place.

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Consider the function: f(x) = 2x^2 - 1.5x - 5 and its graph.
Dominik [7]

Answer:

f(x) = -4x² + 19x - 18

Step-by-step explanation:

f(x) = 2x^2 - 1.5x - 5

i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)

y=f(x-2) = 2(x-2)^2 - 1.5(x-2) - 5\\y = 2(x^2-4x+4) - 1.5x+3 - 5\\y=2x^2-8x+8-1.5x+3-5\\y=2x^2-9.5x+6

f(x) = 2x² - 9.5x + 6

If it is then translated 3 units in the positive y, we add 3 to the input function to get:

y=f(x)+3=2x^2-9.5x+6+3\\y = 2x^2-9.5x+9

ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:

y =2( 2x^2-9.5x+9) = 4x^2-19x+18\\y= 4x^2-19x+18

iii) reflected across the x-axis

we multiply the parent function by –1, to get a reflection about the x-axis.

y= -1(4x^2-19x+18)=-4x^2+19x-18\\y=f(x)=-4x^2+19x-18

5 0
3 years ago
Can someone please help?
Eva8 [605]

Answer: OPTION C

Given the functions shown in the figure attached, you have that f(x)*g(x), means that you must multiply both functions.

Therefore, you have:

f(x)*g(x)=(12x^{2}-6x)(2x)

Now, you must apply the distributive property, therefore, you obtain:

f(x)*g(x)=24x^{3}-12x^{2}

As you can see, the answer is the Option C.

3 0
3 years ago
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4)What kind of shape do the parametric equations make?X= 7sin(theta), y= 2cos(theta)
Monica [59]

Answer:

Ellipse

Step-by-step explanation:

Given

x = 7sin\theta

y= 2cos\theta

Required

The kind of shapes with such equations

This answer to this question is(B) Ellipse

The parametric equation of an ellipse is represented as:

x = asin(\theta) and y = bcos(\theta)

In this case:

a=7\ b = 2

So:

x = 7sin\theta and y= 2cos\theta

5 0
3 years ago
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