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laila [671]
3 years ago
15

Which expression is equivalent to |b| > 2?

Mathematics
1 answer:
frozen [14]3 years ago
4 0

Answer:

1. b < -2 or b > 2

Step-by-step explanation:

|b| > 2

you get 2 solutions, one positive and one negative

remember to flip the inequality for the negative

b>2 or b<-2

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In a certain community, 8% of all adults over 50 have diabetes. If a health service in this community correctly diagnoses 95% of
Lady_Fox [76]

Answer and Step-by-step explanation:

Solution:

Given:

Let A is the event of a person over 50 diagnosed by health service.

B1 is the event that an adult over 50 actually has diabetes.

B2 is the event that an adult over 50 does not have diabetes.

P (B1) = 8% = 0.08

And P (B2) = 1 – P (B1)

                  = 1 – 0.08

                  = 0.92

Correctly diagnose of all persons with diabetes= 95%

P (A/B1) = 0.95

Incorrectly diagnose of all persons without diabetes=   2%

P (A/B2) = 0.02

(a) ) the community health service will diagnose an adult over 50 as having diabetes.

P (B1) P (A/B1) = (0.08) (0.95) = 0.076

P (B2) p (A/B2) = (0.92) (0.02) =0.0184

P (B1) P (A/B1) + P (B2) p (A/B2) =  0.076 + 0.0184

                                                     = 0.0944

(b)  A person over 50 diagnosed by the health service as having diabetes actually has the disease.

By using formula:

P (B1/A) = P (B1) P (A/B1) / P (B1) P(A/B1) + P (B2) P (A/B2)

Put all the given values:

= (0.08) (0.95) / (0.08) (0.95) + (0.92) (0.02)

=0.076 / 0.076 + 0.0184

=0.076 / 0.0944

= 0.8050

8 0
2 years ago
Let ​ f(x)=x2−8x+19<br><br> What is the minimum value of the function?​
nataly862011 [7]
By completing the square: x²-8x+19 = (x-4)²-16+19 = (x-4)²+3 so minimum point = (4,3)

By calculus: f'(x) = 2x-8. (minimum point occurs when f'(x)=0 therefore)
2x-8 = 0 means x=4 and the corresponding y value is 3.

The minimum value of this function (y) is 3 and this occurs when x = 4.
7 0
3 years ago
Read 2 more answers
Molly made a scaled copy of the following square. She used a scale factor greater than 1. What could be the side length of the s
riadik2000 [5.3K]

Answer:

D and E

Step-by-step explanation:

27 and 50 are greater than 20. The scale factor is more than 1, so the answer(s) have to be more than 1.

3 0
3 years ago
Help is very much appreciated!
mote1985 [20]

Answer:

Step-by-step explanation:

nn

6 0
3 years ago
The probability of drawing a yellow or green marble out of a bag containing 3 blue, 2 green , 8 yellow , 4 red , and 3 orange ma
WINSTONCH [101]

Answer:

\frac{10}{23}

Step-by-step explanation:

add green and yellow which is 10 over the whole thing which is 23

5 0
3 years ago
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