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Ulleksa [173]
3 years ago
7

Find cos(β) in the triangle.

Mathematics
1 answer:
denis23 [38]3 years ago
6 0

Answer:

cos \beta  =  \frac{adjacent}{hypotenus}

cos \beta  =  \frac{8}{17}

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It is estimated that approximately 8.23% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for
allsm [11]

The probabilities in this problem are given as follows:

a) False positive: 0.0321 = 3.21%.

b) Diagnosed as not having diabetes: 0.8872 = 88.72%.

c) Actually has diabetes, if diagnosed as not having: 0.0019 = 0.19%.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is given as follows:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which the parameters are described as follows:

  • P(B|A) is the probability of event B happening, given that event A happened.
  • P(A \cap B) is the probability of both events A and B happening.
  • P(A) is the probability of event A happening.

For item a, we have that:

  • 100 - 8.23 = 91.77% of the people do not have diabetes.
  • Of those, 3.5% are diagnosed with diabetes.

Hence the probability of a false positive is given as follows:

p = 0.9177 x 0.035 = 0.0321 = 3.21%.

For item b, the percentage of people who is not diagnosed as having diabetes is divided as:

  • 96.5% of 91.77% (do not have diabetes).
  • 2% of 8.23% (have diabetes).

Hence the probability is:

P(A) = 0.965 x 0.9177 + 0.02 x 0.0823 = 0.8872 = 88.72%.

For item c, we find the conditional probability, as follows:

P(A \cap B) = 0.02 \times 0.0823 = 0.001646

Then:

P(B|A) = 0.001646/0.8872 = 0.0019 = 0.19%.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

7 0
1 year ago
Sarah has 2,500 pictures saved to her camera roll. She wants to free up some space on her phone. She will delete a total of 50 p
weeeeeb [17]

Answer:

x = number of days

y = number of remaining photos saved to her camera roll.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The number of pictures saved in the camera roll (2,500) minus the amount of photos that she deletes per day (50) multiplied by the number of days (x) must be equal to the number of photos remaining.

y =2,500- 50x

The variables are x and y.

Where x is the number of days and y is the number of remaining photos.

Feel free to ask for more if needed or if you did not understand something  

5 0
3 years ago
It's the day before Valentine's Day and Shelly needs to get Valentine cards for all of her classmates.The desks are arranged in
Vitek1552 [10]

Answer:

32

Step-by-step explanation:

No of desks along  length of the rectangle = 7 as it is 7 rows wide.

No of desks along  breadth of the rectangle = 7 as it is 5 rows long.

Total number of students is product of these two numbers.

So number of students = 35.

But three desks are empty.

Total students = 35- 3

                         = 32.

4 0
3 years ago
Can someone please help me?
den301095 [7]
Idk try Socratic it’s low key
3 0
3 years ago
Read 2 more answers
A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro
pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

7 0
3 years ago
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