Answer:27 ://///
Step-by-step explanation:
Answer:
$.48 per bottle
Step-by-step explanation:
The unit price is the total price divided by the number of items
2.88/6
$.48 per bottle
In a certain community, 8% of all adults over 50 have diabetes. If a health service in this community correctly diagnoses 95% of all persons with diabetes as having the disease and incorrectly diagnoses 2% of all persons without diabetes as having the disease, find the probabilities that
a) the community health service will diagnose an adult over 50 as having diabetes.
b) a person over 50 diagnosed by the health service as having diabetes actually has the disease.
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
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.Item a:
The percentages of a positive test is:
95% of 8%(have diabetes).2% of 92%(do not have diabetes).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:
Event A: Positive test.Event B: Has the disease.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
Miss Young is making fruit baskets to send to her 7 cousins. in each basket she puts a g green apples. she puts three times as many red apples in each basket.
Which expression represents the total number of apples Miss Young sends her cousins. choose all that apply.
g +3g
7(g+3g)
7+g+3g
7g+7(3g)
28g
7+4g
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
I need help math is a pain
Answer:
The answer is A because A has 9 zeroes behind 3.5
Suppose a recipe calls for 3 cups of sugar per 4 quarts of lemonade. How many cups of sugar are needed to make 10 quarts? Which setup would allow us to correctly solve the problem? (see image)
Answer:
7.5 cups of sugarStep-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
What are the x and y-intercepts from the table shown?
Solve the system of linear equations by graphing y = -4x + 2 ; y = -x - 1
What is the solution?
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.
What is the common difference in the arithmetic sequence 10, 8, 6, 4, ...?
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.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is an arithmetic sequence?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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If I had 3 apples, and Mortar took 1 apple, how much would i have left???
Answer:
2 Apples!!!
Step-by-step explanation:
Hope this helps!!!
Answer:
2 apples
Step-by-step explanation:
3 - 1 = 2.
Hope this helps.
Solve for x: -9x < 27
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
What is the percent of change of 62 trees to 31 trees
Answer:
62 trees = 100%
62 / 2 = 31 trees
100% / 2 = 50%
31 trees = 50%
Step-by-step explanation:
I need help fast
help me please
Michelle can type 120 words in 3 minutes. How many words can she type in 1 minute at this rate? A. 30 words B. 40 words C. 50 words D. 60 words
pls answer i cant figure it out pls don't type random things for points
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
The last awnser is 1/21 btw pls help me thank u if you do and u get brainles
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.
Miss Rockwell surveyed her class and found that 12 out of 30 students chose peaches as their favorite fruit write the number of students who chose peaches as a fraction in the simplest form then write the fraction as a decimal
Answer: 8282828
Step-by-step explanation: I’m not sure
solve for n: 10/60 =n/84
Answer:
n=14
Step-by-step explanation:
What is the apparent range of the function of x shown?
A) The set of all real numbers greater than or equal to 1
B) The set of all real numbers less than or equal to 1
C) The set of all real numbers greater than or equal to 4
D) The set of all real numbers
(PLEASE LOOK AT THE PICTURE BEFORE ANSWERING)
ABC was translated Find A
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.
You have 12 balloons to blow up for a party. You blow up 13 of them, and your friend blows up 5 of them. What fraction of the balloons still need blowing up?
Answer:
None
Step-by-step explanation:
First of all you have 12 balloonas, and you blow up 13 of them and your friend blows up 5 of them but you only have 12. So you can’t find the right amoun.
Answer:
The Awnser is 1/4
Step-by-step explanation:
Evaluate the expression 12-3y\2 + y(2y-4\y) for y =3
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
I mark as brainliest
Item 10
A 5-ounce can of tuna costs $0.90. A 12-ounce can of tuna costs $2.40. Which is the better buy?
5-ounce can
12-ounce can which is the right answer 5-ounce can or 12-ounce can help fast pls
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!
A rectangular room is 4 yards long and 5 yards wide . Lucas is covering the floor with tiles that are 1 square foot . How many tiles will he need ?
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
If an automobile slows from 26MS to 18 MS in a period of 4.0 S what was the average acceleration
Solve: 5x - 14 = 8x + 4
9) Express the ratio 18:30 in lowest terms.
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
I need help with the table it’s due today pls help ❗️❗️
It’s for culinary arts and hospitality honors
Answer: Eventually you memorize these measurements if you are in cullinary arts.
Step-by-step explanation:
Chart attached, I hope!
What is the slope of the line that passes through the points (-9, 2) and (1, 27)?
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
Write an equation for the line parallel to g(x) = 4x + 5 and passing through the point (10,7). Write the answer in slope-intercept
form.
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
Simplify to zero answers.
What is the greatest perfect square that is a factor of 392
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.
What is a factor of a number?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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