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alukav5142 [94]
2 years ago
10

Find the measure of the indicated angle to the nearest degree.

Mathematics
2 answers:
Vinil7 [7]2 years ago
5 0

Answer:

The answer is option C

Step-by-step explanation:

To find the indicated angle we use sine

sin ∅ = opposite / hypotenuse

From the question

The opposite is 37

The hypotenuse is 41

So we have

sin ? = 37/41

? = sin-¹ 37/41

? = 64.4805

<h3>? = 64° to the nearest degree</h3>

Hope this helps you

Annette [7]2 years ago
4 0
64.4805 is the answer
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g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G
patriot [66]

Answer:

0.9586

Step-by-step explanation:

From the information given:

7 children out of every 1000 children suffer from DIPG

A screening test designed contains 98% sensitivity & 84% specificity.

Now, from above:

The probability that the children have DIPG is:

\mathbf{P(positive) = P(positive \  |  \ DIPG) \times P(DIPG) + P(positive  \ | \  not \DIPG)\times P(not  \ DIPG)}= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})

= (0.98 × 0.007) + 0.16( 1 - 0.007)

= 0.16574

So, the probability of not having DIPG now is:

P(not \ DIPG \  |  \ positive) = \dfrac{ P(positive  \ | \  not DIPG)\timesP(not \  DIPG)} { P(positive)}

=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}

=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}

= 0.9586

8 0
2 years ago
Find y'' by implicit differentiation. 5x2 + y2 = 3
makkiz [27]
5x²+y²=3
by implicit differentiation we shall have:
10x+2yy'=0
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10+2y"=0
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y"=-5

6 0
3 years ago
9x-6+11x what would the answer be
frez [133]

Answer:

20x-6

Step-by-step explanation:

5 0
3 years ago
Your beginning balance on your lunch account is $42. You buy lunch for $1.80 every day and sometimes buy a snack for $0.85. Afte
tangare [24]

Answer:

The answer to your question is: I bought 7 snacks

Step-by-step explanation:

Data

beginning balance = $42 = b

lunch = $1.80  = l

snack = $ 0.85  = s

final balance = $0.05 = f

                        f = b - 1.8l - 0.05s

                     0.05 = 42 - 1.8l - 0.85s

After 20 days I spent = 1.8(20) in lunches = $36

                    0.05 = 42 - 36 - 0.85s

                   0.05 = 6 - 0.85s

                  0.05 - 6 = -0.85s

                  -5.95 = -0.85s

                  s = -5.95/-0.85

                  s = 7

         

4 0
3 years ago
Simplify the expression 4|-4|
Naddik [55]

An absolute value means something distance from 0, so |8| = 8 because the distance of 8 from 0 is 8. However the |-8| still equals 8 because the distance from -8 to 0 is 8

So with that in mind, we know that |-4| is 4 because the distance -4 is from 0 is 4

So we have 4*4 = 16

3 0
3 years ago
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