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Marina CMI [18]
3 years ago
14

bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye. the table gives the

probabilities of each outcome. what is the probability that bill will get the next arrow in the inner or outer ring?express your answer as a decimal
Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0
Given that Bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye.

Given the table below that gives the probabilities of outcomes.

\begin{tabular}
{|c|c|c|c|c|}
\bold{Outcome}&Bull's-eye&Inner ring&Outer ring&Miss\\
\bold{Probability}&0.036&0.297& 0.423&0.244
\end{tabular}

The probability <span>that Bill will get the next arrow in the inner or outer ring is given by
P(inner ring) + P(outer ring) = 0.297 + 0.423 = 0.72</span>

Therefore, <span>the probability that Bill will get the next arrow in the inner or outer ring is 0.72</span>
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Please Help. I really don’t get this concept, if you could explain it in detail it would be very appreciated
Dafna11 [192]
<h3>Answer: 24/25</h3>

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

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

--------------------------

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

---------------------------

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

6 0
3 years ago
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each
balu736 [363]

Answer:

35-=13 boxes ; 65-9 boxes

Step-by-step explanation:

35 x X+ 65 (22-x)=1040

35x+1430-65x=1040

1430-30x=1040

30x=390

x =390/30=13

6 0
3 years ago
Which rational number equals 0 point 3 with bar over 3? Question 2 options: 1) 1 over 5 2) 1 over 3 3) 3 over 10 4) 3 over 5
Vedmedyk [2.9K]

9514 1404 393

Answer:

 2) 1/3

Step-by-step explanation:

The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.

  x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=\dfrac{3}{9}\\\\0.\overline{3}=\dfrac{1}{3}

_____

Your calculator can help you answer this:

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  1/3 = 0.333.... (repeating) . . . . the number you're looking for

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7 0
2 years ago
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zavuch27 [327]
I think the answer is B


Explanation: Rise
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The first four terms of a sequence are shown below:
Marta_Voda [28]

Answer:

Step-by-step explanation:

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7 0
2 years ago
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