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Brums [2.3K]
2 years ago
8

Find the probability that a randomly

Mathematics
1 answer:
Alina [70]2 years ago
6 0

Answer:

31.8\%

Step-by-step explanation:

The area of the circle is A=\pi r^2=\pi(4)^2=16\pi

The area of the triangle is A=\frac{bh}{2}=\frac{8*4}{2}=\frac{32}{2}=16

Hence, the probability of a randomly selected point within the circle falls in the red shaded area is \frac{16}{16\pi}=\frac{1}{\pi}\approx0.318\approx31.8\%

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Which function could be a stretch of the exponential decay function shown on the graph?
dezoksy [38]

Answer:

f(x) = (\frac {1}{2})^{(6x)}

Step-by-step explanation:

The given options are,

a) f(x) = 2^{(6x)}

b) f(x) = (\frac {1}{2})^{(6x)}

c) f(x) = 2 \times (\frac {1}{6})^{x}

d) f(x) = \frac {1}{2} \times (\frac {1}{6})^{x}

Now, clearly a) is a monotonically increasing function, hence discarded, and both of c)  and d) don't pass through (0, 1) hence they are also discarded.

Only b) is a decay function which does also pass through (0, 1), hence, b) is the correct option.

4 0
3 years ago
Read 2 more answers
The pass mark for a test is 86%.<br> Steve scores 52 out of 61 marks.<br> Does he pass the test?
laiz [17]

Answer:

He fails

Step-by-step explanation:

Marks = 52/61

Percentage =  52/61  x 100 ~ 85%

Pass amrk =86%

85% < 86%  

So , he fails

4 0
3 years ago
Read 2 more answers
How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have?
Lemur [1.5K]
How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have? 

<span>Answer: the third option (12 zeroes..). </span>

<span>Use ^ to denote an exponent.. </span>

<span>f(x) = 3x^12 - 17x^8 + 11x^4 - 6x + 23.. </span>


<span>We know from that fact that the number of zeroes (real or complex) in a polynomial is the same as the degree of the polynomial.. </span>

<span>The degree is the greatest/highest power of the terms, which in this case is 12 (since 12 is the greatest exponent..).. </span>

<span>The degree is 12, thus it means there are 12 zeroes.. </span>


<span>Answer: the third option (12 zeroes)...</span>
6 0
3 years ago
Help me with this question I’m confused
MAXImum [283]

Answer:

3/4 is the slope

Step-by-step explanation:

I dont really know how to explain

7 0
3 years ago
Please help me out ...
fgiga [73]

Angle1 = 90 degrees

Angle2 = 15 degrees

Angle3 = 75 degrees (because 180-15-90=75 and all angles equal 180 degrees)

Side1 = 300

Side2 = x (unknown)

Solve for x:

X / sin(15degrees) = 300 / sin(75degrees)

X = (300•sin(15degrees)) / sin(75degrees)

X = 80.38...

= 80

8 0
4 years ago
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