Jasmine wrote a number that is the opposite of -3. What
number did Jasmine write?
0 1/3
3
0
-3

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

Using conditional probability, it is found that there is a:

a) 0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.

b) 0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

Item a:

The percentages of a positive test is:

Hence:

[tex]P(A) = 0.95(0.08) + 0.02(0.92) = 0.0944[/tex]

0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.

Item b:

From item a, [tex]P(A) = 0.0944[/tex].

The probability of both a positive test and having the disease is:

[tex]P(A \cap B) = 0.95(0.08)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.08)}{0.0944} = 0.8051[/tex]

0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.

A similar problem is given at https://brainly.com/question/14398287

Answer:

A is the Answer.

Step-by-step explanation:

You multiply x with 2x ( Gives you 2x^2 ) then -1 with 2x ( Gives you -2x ) then -8 with x ( Gives you -8x ) then -1 with-8 ( Gives you +8 ), finally you add the two x's ( not x^2 ). Your fibal answer will be 2x^2 - 10x +8.

Hope this helps.

Answer:

B

Step-by-step explanation:

THe answer is b because you have to divide 3 by whatever the answer is so just divide all answers until you get one thats 120 so b

Answer:

B.40 words

Step-by-step explanation:

120÷3=40

40×3=120

Answer:

x > -3

Step-by-step explanation:

Since you need to get a by itself as a variable divide both sides by -9 (but in inequality when you divide by - the sign flips)

x > -3

Answer:

2 Apples!!!

Step-by-step explanation:

Hope this helps!!!

Answer:

2 apples

Step-by-step explanation:

3 - 1 = 2.

Hope this helps.

Answer: 7(g + 3g) , 7g + 7(3g) , and 28g

Step-by-step explanation: I got it wrong and it showed me the answers so here you go

Answer:

2/121, 1/121

Step-by-step explanation:

Problem 1:

We have the following letters in the bag:

P R O B A B I L I T Y

There is a total of 11 letters.

If we select B, we have a 2/11 chance to get it. If we then replace it and select A, we have a 1/11 chance to select it.

Thus we have a (2/11) * (1/11) chance to get that combination,

Which is 2/121.

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

Problem 2

We have the following letters in the bag:

P R O B A B I L I T Y

There is a total of 11 letters. If we select P, we have a 1/11 chance to get it. If we then replace it and select L, we have a 1/11 chance to select that.

Thus we have a (1/11) * (1/11) chance to get that combination,

Which is 1/121.

Answer: 8282828

Step-by-step explanation: I’m not sure

Answer:

43/2

Step-by-step explanation:

Evaluate 12 - (3 y)/2 + y (2 y - 4/y) where y = 3:

12 - 3 y/2 + y (2 y - 4/y) = 12 - 3×3/2 + 3 (2×3 - 4/3)

Hint: | Express -3×3/2 as a single fraction.

-3×3/2 = (-3×3)/2:

12 + (-3×3)/2 + 3 (2×3 - 4/3)

Hint: | Multiply 2 and 3 together.

2×3 = 6:

12 - (3×3)/2 + 3 (6 - 4/3)

Hint: | Multiply -3 and 3 together.

-3×3 = -9:

12 + (-9)/2 + 3 (6 - 4/3)

Hint: | Put the fractions in 6 - 4/3 over a common denominator.

Put 6 - 4/3 over the common denominator 3. 6 - 4/3 = (3×6)/3 - 4/3:

12 - 9/2 + 3 (3×6)/3 - 4/3

Hint: | Multiply 3 and 6 together.

3×6 = 18:

12 - 9/2 + 3 (18/3 - 4/3)

Hint: | Subtract the fractions over a common denominator to a single fraction.

18/3 - 4/3 = (18 - 4)/3:

12 - 9/2 + 3 (18 - 4)/3

Hint: | Subtract 4 from 18.

| 1 | 8

- | | 4

| 1 | 4:

12 - 9/2 + 3×14/3

Hint: | Express 3×14/3 as a single fraction.

3×14/3 = (3×14)/3:

12 - 9/2 + (3×14)/3

Hint: | Cancel common terms in the numerator and denominator of (3×14)/3.

(3×14)/3 = 3/3×14 = 14:

12 - 9/2 + 14

Hint: | Put the fractions in 12 - 9/2 + 14 over a common denominator.

Put 12 - 9/2 + 14 over the common denominator 2. 12 - 9/2 + 14 = (2×12)/2 - 9/2 + (2×14)/2:

(2×12)/2 - 9/2 + (2×14)/2

Hint: | Multiply 2 and 12 together.

2×12 = 24:

24/2 - 9/2 + (2×14)/2

Hint: | Multiply 2 and 14 together.

2×14 = 28:

24/2 - 9/2 + 28/2

Hint: | Add the fractions over a common denominator to a single fraction.

24/2 - 9/2 + 28/2 = (24 - 9 + 28)/2:

(24 - 9 + 28)/2

Hint: | Evaluate 24 + 28 using long addition.

| 1 |  

| 2 | 8

+ | 2 | 4

| 5 | 2:

(52 - 9)/2

Hint: | Subtract 9 from 52.

| 4 | 12

| 5 | 2

- | | 9

| 4 | 3:

Answer: 43/2

Answer:

I think like 21

Step-by-step explanation:

i think it correct but if it not it okay but alaest I try my best on it

Answer:

A' (2, -1)

Explanation:

The object's point A has a coordinate of (-2, 4).

The translation rule states that you:

- Add the x coordinate by 4 (x + 4)

- Subtract the y coordinate by 5 (y - 5)

Substitute the rule to point A's coordinate (x = -2 and y = 4).

(-2 + 4 , 4 - 5) = (2, -1)

Notice that the image's point A has moved four steps to the right and down by five steps from the original object.

Answer:

-2

Step-by-step explanation:

10-8=2

8-6=2

6-4=2

4-2=2

The common difference of the given A.P. is -2.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The nth term of an A.P. is given by -

a[n] = a + (n - 1)d

We have the following sequence 10, 8, 6, 4, ... .

We have -

10, 8, 6, 4, ...

The common difference of the given A.P. is -

d = 8 - 10 = 6 - 8 = 4 - 6

d = - 2

Therefore, the common difference of the given A.P. is -2.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Answer:  Eventually you memorize these measurements if you are in cullinary arts.

Step-by-step explanation:

Chart attached, I hope!

Answer:

Step-by-step explanation:

Easiest way would be to substitute points into the given equations and plot your answers.

E.g. if you substitute points into your first equation you get:

If x = 0, y = -4(0) +2 = 2

If x = 1, y = -4(1) +2 = -2

If x = -1, y = -4(-1) +2 = 6

Etc.

Second equation:

If x = 0, y= -(0) -1 = -1

If x = 1, y = -1 -1 = -2

If x = -1, y = -(-1) -1 = 0

Pretty much just plug in values for x into the equations to find y.

Once you have your points, draw a line :)

Where the two lines intercept would be the solution.

Answer:

Step-by-step explanation:

8 qts of lemonade calls for 6 cups of sugar; 2x of each.

2 qts of lemonade calls for 1.5 cups of sugar or half as much.

10 qts of lemonade calls for 7.5 cups of sugar

Answer:

n=14

Step-by-step explanation:

Answer:

The answer is

[tex] \huge \frac{5}{2} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question the points are

(-9, 2) and (1, 27)

We have

[tex]m = \frac{27 - 2}{1 - - 9} = \frac{25}{1 + 9} = \frac{25}{10} = \frac{5}{2} \\ [/tex]

We have the final answer as

[tex] \frac{5}{2} \\ [/tex]

Hope this helps you

Answer:

62 trees = 100%

62 / 2 = 31 trees

100% / 2 = 50%

31 trees = 50%

Step-by-step explanation:

Answer:

The 5-ounce can if divided by five to how to cost for 1-ounce would be $0.18. Then you divide the 12-ounce by 12 for 1-ounce which is $0.2. So the 5-ounce is better.

Step-by-step explanation:

Hope this helped!

Answer:

y=4x-33

Step-by-step explanation:

the slope for parallel lines is the same so it would be 4

(y-y₁)=m(x-x₁)

(y-7) =4(x-10)

(y-7) =4x-40

  +7       +7

 y=4x-33

Answer:

The factor of 392 is 36.

The greatest perfect square that is a factor of 392 is 14.

Given,

392

We need to find the greatest perfect square which is a factor of 392.

Example:

2 x 4 = 6

2 and 4 are factors of 6.

Find the factor of 392.

Possible factors are:

4 x 98 = 392

49 x 8 = 392

196 x 2 = 392

We see that,

4, 196, and 49 are perfect squares.

2 x 2 = 4

14 x 14 = 196

7 x 7 = 49

14 is the greatest perfect square.

Thus the greatest perfect square that is a factor of 392 is 14.

Learn more about factors of a number here:

https://brainly.com/question/2058395

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Answer:

3:5

Step-by-step explanation:

take the biggest common factor which would be 6 in this case, and just divide the two out by that. 3:5

Answer:

The answer is A because A has 9 zeroes behind 3.5