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pychu [463]
4 years ago
14

0.3% of a country has a certain disease. The test for the disease has a sensitivity of 92% (i.e., of those we know have the dise

ase, the test comes back positive 92% of the time.) It has a specificity of 96% (i.e., of those who do NOT have the disease, the test comes back negative 96% of the time.) Determine the ACCURACY of this test (round to 5 decimals) Remember, ACCURACY is correct values (i.e. true positives true negatives)
Mathematics
1 answer:
butalik [34]4 years ago
6 0

Answer:

0.95988 (Accuracy of the test )

Step-by-step explanation:

To determine the accuracy of this test we have to list out the given values

Prevalence rate of the disease = 0.3% = 0.003

sensitivity rate of the disease = 92% = 0.92

specificity rate for the test = 96% = 0.96

The accuracy of the test can be found using this equation

Accuracy = sensitivity * prevalence + specificity ( 1 - prevalence )

                = 0.92 * 0.003 + 0.96 ( 1 - 0.003 )

                = 0.00276 + 0.95712

                = 0.95988

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3 years ago
(Score for Question 2: ___ of 10 points)
Vedmedyk [2.9K]

The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

<h3>What is the area of trapezoid?</h3>

The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

A=\dfrac{(a+b)h}{2}

Here, (a and b) are the base sides of the trapezoid and (h) is the height.

A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,

C=812×$8.30

C=$6739.6

Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

Learn more about the area of trapezoid here;

brainly.com/question/1410008

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4 0
2 years ago
Which of the following is not a solution for the inequality 3x +2 &lt; 12?
Advocard [28]

3x+2 < 12\ \ \ \ |-2\\\\3x < 10\ \ \ \ |:3\\\\x < \dfrac{10}{3}\\\\x < 3\dfrac{1}{3}\\\\x=2 < 3\dfrac{1}{3}\\\\x=2.5 < 3\dfrac{1}{3}\\\\x=3 < 3\dfrac{1}{3}\\\\x=3.5-Answer

8 0
3 years ago
Question 26 pleaseee
LuckyWell [14K]

Answer:

The inequality is 55+10x\leq 105

The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.

Step-by-step explanation:

Given: Cost of first hour rent of jet ski is $55

          Cost of each additional 15 minutes of jet ski is $10

          Jeremy can spend no more than $105

Assuming the number of additional 15-minutes increment be "x"

Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.

Lets put up an expression for total spending of Jeremy.

\$55+ \$ 10\times x

We also know that Jeremy can not spend more than $105

∴ Putting up the total spending of Jeremy in an inequality.

\$ 55+\$10x\leq \$ 105

Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,

⇒ \$ 55+\$10x\leq \$105

Subtracting both side by 55

⇒ \$ 10x\leq \$50

Dividing both side by 10

⇒x\leq \frac{50}{10}

∴ x\leq 5

Therefore, Jeremy can rent for 60\ minutes + 5\times 15\\= 60\ minutes + 75= 135\ minutes

Jeremy can rent maximum of 135 minutes.

5 0
3 years ago
The population of California is approximately 38,040,000. The population of Texas is about 2.606 × 107. What is the approximate
liubo4ka [24]

Answer:

The total population of these two states is:

3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41

Therefore, option C is correct.

Step-by-step explanation:

  • The population of California is approximately 38,040,000.
  • The population of Texas is about 2.606 × 10⁷.

Writing the population of California i.e.38,040,000  in scientific notation by moving the decimal point 7 places to the left and dropping the 0's on the right  side as they're after the decimal point now.

i.e.

38,040,000 = 3.804 x 10⁷

So adding 3.804 x 10⁷ and 2.606 × 10⁷

i.e.

3.804\times \:10^7+2.606\times \:10^7

\mathrm{Add\:similar\:elements:}\:10^7\times \:3.804+10^7\times \:2.606=10^7\times \:6.41

Thus, the total population of these two states is:

3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41

Therefore, option C is correct.

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4 years ago
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