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Jet001 [13]
3 years ago
12

Brenda throws a dart at this square-shaped target: Part A: Is the probability of hitting the black circle inside the target clos

er to 0 or 1? Explain your answer. (5 points) Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer. (5 points)
Mathematics
1 answer:
Masteriza [31]3 years ago
6 0
Either way.  The probability of hitting the circle is:

P(C)=Area of circle divided by area of square

P(W)=(area of square minus area of circle divided by area of square

P(C)=(πr^2)/s^2

P(W)=(s^2-πr^2)/s^2

...

Okay with know dimensions, r=1 (because r=d/2 and d=2 so r=1), s=11 we have:

P(inside circle)=π/121  (≈0.0259  or 2.6%)

P(outside circel)=(121-π)/121  (≈0.9744 or 97.4%)
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Help pls and thank you
netineya [11]
A, C, and D are all correct answers, since you are taking away 4 in each of the answers. Hope this helped!
6 0
3 years ago
How much did Mario spend on golfing? a. $35.20 b. $45.20 c. $47.88 d. $143.96
Salsk061 [2.6K]
$47.88 your answer and I am the most important person in the world.
8 0
3 years ago
Read 2 more answers
What interval notation represents the data graphed below?
Aliun [14]

Answer: Choice D

(-\infty, -2) \cup [4, \infty)

=====================================================

Explanation:

The left portion is the interval (-∞, -2)

This is a shorthand way of saying -\infty < x < -2

The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.

In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to 4 \le x < \infty

Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.

All of this builds up to the full interval notation to be (-\infty, -2) \cup [4, \infty)

The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.

6 0
2 years ago
For the arithmetic sequence 42, 32, 22, 12... find the 18th term.
Stella [2.4K]

Answer:

The18th term of the given sequence is -128

Explanation:

To find the 18th term of the sequence:

42, 32, 22, 12, ..., we need to find the nth term of the sequence first.

The nth term of a sequence is given be the formula:

T_n=a+(n-1)d

Where a is the first term, and d is the common difference.

Here, a = 42, d = 32 - 42 = -10

\begin{gathered} T_n=42+(n-1)(-10) \\ =42-10n+10 \\ T_n=52-10n \end{gathered}

To find the 18th terem, substitute n = 18 into the nth term

\begin{gathered} T_{18}=52-10(18) \\ =52-180 \\ =-128 \end{gathered}

7 0
1 year ago
Help with this math question
tresset_1 [31]
The given inequality is:

|-8x+24| \leq 16

This inequality can be divided in two parts as:

a) -16 \leq -8x +24
b) -8x + 24 \leq 16

Solving part a:

-16 \leq -8x+24 \\  \\ &#10;-40 \leq -8x \\  \\ &#10;5 \geq x \\ &#10;or \\ &#10;x \leq 5

Solving part b:

-8x+24 \leq 16 \\  \\ &#10;-8x \leq -8 \\  \\ &#10;x \geq 1

Therefore, the solution to the given inequality is x \leq 5 and x \geq 1. Combining both the ranges we get the solution: 1 \leq x \leq 5.

In interval notation, this solution can be expressed as [1,5]
3 0
3 years ago
Read 2 more answers
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