80 volunteers take a meningitis test to help doctors see how accurate this test is at identifying whether someone has meningitis or not.
A positive result means the test has identified you as having meningitis.
Of the volunteers, only 16 people have meningitis.
The results show 2 people who have meningitis gets a negative result and 2 people who don't have meningitis get a positive result.
What was the accuracy of the test?

Answers

Answer 1

Using it's formula, considering the results, it is found that the accuracy of the test is of 0.95 = 95%.

What is the accuracy of a test?

It is given by the number of correct results divided by the number of tests.

In this problem, there were 80 tests, of which 80 - 2 - 2 = 76 had correct results, hence the accuracy is given by:

A = 76/80 = 0.95 = 95%.

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Related Questions

Find all the missing angles and side lengths

Answers

use pythagoras theorem to find the missing side, then find the an angle using the sine rule. at this point you will only have one angle left. using the law that sum of all angles of a triangle add up to 180⁰, you can do 180⁰- ( [the angle you found by the sine rule] + 90⁰) hope this wasn't too complicated :)

i did (b) as an example attatched (2 photos bc it couldn't fit it all)

Huw has a maths test. the second question is:



here is huw's working. 9 days is incorrect. work out the correct answer.

Answers

Huw's answer of 9 days is incorrect because more guests would finish the food in less time so the number of days for 30 guests is less than 6 days.

The number of days that the food can last 30 guests is 4 days.

How long will Seaview Hotel's food feed 30 guests?

More guests would eat the food faster which means that it would be finished in less days than the 6 days used by 20 guests.

To find the days the food would last 30 guests, use the inverse proportion formula:
= (Number of guests x Number of days food lasts for guests) / New number of guests

= (20 x 6) / 30

= 4 days

Full question is:

The only food provided for guests at Seaview Hotel is breakfast. The hotel has enough food to make breakfast for 20 guests for 6 days. How long would the food last 30 guests? You may assume each guest eats the same amount of food for breakfast.

Without working out the correct answer, explain why Huw’s answer of 9 days is incorrect.

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SUPER EASY 9TH GRADE GEOMETRY
- find the area

Answers

using the diagonal: area = 1/2 x diagonal^2


the full diagonal is 20 x 2 = 40 cm


area = 1/2 x 40^2 = 800


answer: 800 cm^2

How large the size of a sample needs to be if we want to a 90% confidence level with a margin of error no more than 1.5%

Answers

Answer:

A 90 percent level can be obtained with a smaller sample, which usually translates into a less expensive survey. To obtain a 3 percent margin of error at a 90 percent level of confidence requires a sample size of about 750. For a 95 percent level of confidence, the sample size would be about 1,000.

What is the equation for this graph?

Answers

Answer:

hmm try multiplying every number at the top and then put them all together

then divide the answer u got and u have ur answer :)

Step-by-step explanation:

Write a recursive formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 50, -10, 2, ...50,−10,2,....

Answers

The recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

How to determine the recursive sequence?

The sequence is given as:

50,−10,2,....

The above sequence is a geometric sequence, and it has the following parameters:

First term, a = 50Common ratio, r = -1/5 i.e. -10/50 = 5

This means that the product of the current term and -1/5 gives the next term.

i.e.

[tex]a_n = -\frac{a_{n-1} }{5}[/tex]

Hence, the recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

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100 POINTS AND BRAINLIST

Answers

The answer could be c

Because the title of the table says the  dollar sales and how much it's increasing so my answer is c

Hope I helped!

TheOneAndOnlyLara~

Answer:

C.

Step-by-step explanation:

Hope it helped!

can you submit a picture of the question

Answers

This is the answer to your question

Find the sum of the first 7 terms of the following series, to the nearest integer. 150,60,24...

Answers

Answer:

  250

Step-by-step explanation:

The sum of the terms of a geometric series is given by the formula ...

  Sn = a1×(1 -r^n)/(1 -r)

sum of n terms for first term a1 and common ratio r.

__

series sum

The given series has first term a1 = 150, and common ratio r = 60/150 = 2/5. Putting these values into the formula gives a sum of 7 terms that is ...

  S7 = 150×(1 -(2/5)^7)/(1 -2/5) = 150((77997/78125)/(3/5))

  S7 = 150×(25999/15625) = 249.5904

Rounded to the nearest integer, the sum of the first 7 terms is 250.

helpppp please and quick

Answers

Answer:

The way is in the steps.

Step-by-step explanation:

y = sin(x) has a period of 2π and amplitude of 1.

a) y = a * sin b(x - c) - d

y = 7/2 * sin 2/3(x - π/4) - 2

[tex]a=\frac{7}{2}[/tex][tex]b=\frac{2}{3}[/tex][tex]c = \frac{\pi }{4}[/tex][tex]d=-2[/tex]

b) amplitude is affected by a = 7/2 , so the amplitude is 7/2.

The range is (-5.5 , 1.5) because looking at the graph, but also by making a table to help find the range.

c) Period = 2π/b

Period = 2π/2/3 = 3π

d) Horizontal Shift left/right is dependent on c.

c = π/4 , so Horizontal Shift to the Right by π/4

Vertical Shift up/down is dependent on d.

d = -2 , so Vertical down shift by 2.

Isabel says that 0.02 can be expressed as 20%. Is she correct? Explain why or why not.​

Answers

[tex]\text{She is not correct because}\\\\20\% = \dfrac{20}{100} = \dfrac 2{10} = 0.2 \neq 0.02[/tex]

The box-and-whisker plot represents a data set. Which statements are never true for this data set?

Answers

The statement that can never be true is the data set contains a value of 3.

What is box plot?

A box plot is used to study the distribution of a dataset. The box plot consists of two lines and a box. The two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number.

minimum number = 8

maximum number = 22

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Abcd is a trapezoid. = 1 cm and = 5 cm, and the area = 7.5 cm2. what is the altitude of the trapezoid? 1.5 cm 2.5 cm 3 cm 2 cm

Answers

Answer:

2.5cm

Step-by-step explanation:

hope it helps. if there's any question feel free to ask me I be ready to respond appropriately bye.

The altitude of the trapezoid is approximately 2.5 cm.

Here, we have,

To find the altitude of the trapezoid, we can use the formula for the area of a trapezoid:

Area = (1/2) * (sum of the bases) * altitude

Given that

one base (a) is 1 cm, the other base (b) is 5 cm, and the area is 7.5 cm², we can plug these values into the formula and solve for the altitude:

7.5 cm² = (1/2) * (1 cm + 5 cm) * altitude

Simplifying:

7.5 cm² = (1/2) * 6 cm * altitude

7.5 cm² = 3 cm * altitude

Now, we can isolate the altitude by dividing both sides of the equation by 3 cm:

altitude = 7.5 cm² / 3 cm

altitude ≈ 2.5 cm

Therefore, the altitude of the trapezoid is approximately 2.5 cm.

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If .111... = 1/x, what is x?
Correct answer will get brainliest

Answers

Answer:

x = 9

Step-by-step explanation:

When 1 is divided by 9, we understand it is a non-terminating decimal number because the denominator consists of other number other than 2 and 5.

Now, let's get into how to solve for x :

Divide both sides by .111... :

1/.111... x .111... = 1/.111 x 1/x

1 = 1/(x)(.111....)

Multiply both sides by x :

1(x) = (x)/(x)(.111...)

x = 1/.111...

x = 9 (nearest whole number)

Answer:

[tex]\sf 0.\dot{1}=\dfrac{1}{9}[/tex]

Therefore, x = 9

Step-by-step explanation:

To convert 0.11111... to a fraction:

Equation 1

Let:   y = 0.11111...

Equation 2

Multiply both sides by 10:

⇒ y · 10 = 0.11111... · 10

⇒ 10y = 1.11111...

Subtract Equation 1 from Equation 2 to eliminate the recurring digits after the decimal:

⇒ 10y - y = 1.1111... - 0.11111...

⇒ 9y = 1

Divide both sides by 9

[tex]\implies \sf y=\dfrac{1}{9}[/tex]

Therefore,

[tex]\sf 0.\dot{1}=\dfrac{1}{9}[/tex]

So if:

[tex]\sf 0.\dot{1}=\dfrac{1}{x}[/tex]

Then x = 9

what would i put in, in the blanks? please help, i don’t get this

Answers

Answer:

Parent function

[tex]f(x)=\log_2(x)[/tex]

Since we cannot take logs of zero or negative numbers, the domain is [tex](0, \infty)[/tex] and there is a vertical asymptote at [tex]x=0[/tex].

There are no horizontal asymptotes and the range is [tex](- \infty,\infty)[/tex].

The end behaviors of the parent function are:

[tex]\textsf{As } x \rightarrow 0^+, f(x) \rightarrow - \infty[/tex]

[tex]\textsf{As } x \rightarrow \infty, f(x) \rightarrow \infty[/tex]

To determine the attributes of the given function, compare the given function with the parent function.

Given function

[tex]f(x)=- \log_2(x)+5[/tex]

The given function is reflected in the x-axis.  Therefore, the end behaviors are a reflection of those of the parent function:

[tex]\textsf{As } x \rightarrow 0^+, f(x) \rightarrow \infty[/tex]

[tex]\textsf{As } x \rightarrow \infty, f(x) \rightarrow - \infty[/tex]

As the given function is translated vertically (5 units up) only, the domain, range and asymptote will not change, since the function has not been translated horizontally.

[tex]\textsf{Domain}: \quad (0, \infty)[/tex]

[tex]\textsf{Range}: \quad (- \infty, \infty)[/tex]

[tex]\textsf{Asymptote}: \quad x=0[/tex]

Conclusion

The function f(x) is a [tex]\boxed{\sf logarithmic}}[/tex] function with a [tex]\boxed{\sf vertical}}[/tex] asymptote of [tex]\boxed{x = 0}[/tex].  

The range of the function is [tex]\boxed{(- \infty, \infty)}[/tex], and it is [tex]\boxed{\sf decreasing}[/tex] on its domain of [tex]\boxed{(0, \infty)}[/tex].  

The end behavior on the LEFT side is as [tex]\boxed{x \rightarrow 0^+}[/tex], [tex]\boxed{f(x) \rightarrow \infty}[/tex], and the end behavior of the RIGHT side is [tex]\boxed{x \rightarrow \infty}[/tex], [tex]\boxed{f(x) \rightarrow -\infty}[/tex].

The nature of the roots of 3x^2+4x-5=0

Answers

Answer:

Imaginary Roots

Step-by-step explanation:

The quadratic equation ax^2 + bx + c = 0 is written in standard form, and the formula is

x = [-b ± √(b^2 - 4ac)]/ 2a

Given:

3x2 - 4x + 5 = 0'

Here a = 3, b = -4 and c = 5

Substituting:

x = [-(-4) ± √((-4)2 - 4 × 3 × 5)]/ (2 × 3)

Further Simplification:
x = [4 ± √(16 - 60)]/6                 ----> Discriminant: b^2 - 4ac = -44 < 0.

x = [4 ± √-44]/ 6

Now, we get:

x = [4 ± 2√-11]/ 6

x = [2 ± i √11]/ 3

Therefore, The best description of the roots of the equation 3x2 - 4x + 5 = 0 is imaginary roots.

Which of the following choices lists the values of the side lengths of a triangle with 45-45-90 degree angles and a leg = 5?
5, 5, 5
5, 1, 5
1, 5, 5
1, 1, 5

Answers

A triangle is a three-edged polygon with three vertices. The length of the sides of the triangle is 5, 5, and 5√2.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Since the two angles are equal, therefore, the length of the two legs of the isosceles right triangle will be equal and will be less than the hypothenuse.

Hence, the length of the sides of the triangle is 5, 5, and 5√2.

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Hailey's laundry basket contains 777 socks. These 777 socks account for approximately 21\!!, percent of Hailey's socks. How many socks does Hailey have in total

Answers

The number of socks for Hailey will be 163.

What is the percentage?

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

Hailey's laundry basket contains 777 socks. These 777 socks account for approximately 21, per cent of Hailey's socks.

The number of Haley's socks will be calculated as=

Socks = 777 x 21/100

Socks = 777 x 0.21

Socks = 163

Therefore the number of socks for Hailey will be 163.

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I don’t understand this whatsoever

Answers

Answer:

7

Step-by-step explanation:

4*(x-2)^2 - 9

replace x with 4;     4*(4-2)^2-9

solve inside parenthesis;    4*(2)^2-9

order of operations;     4*4 - 9 becomes 16-9=7

Estimate the product of 2.28 × 5.59 using compatible numbers.

Answers

The quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75

What are products?

Quotients are result derived from the multiplication of two rational or integers. Given the expression

2.28 × 5.59

Convert to fraction

2.28 × 5.59 = 228/100  ÷  559/100
2.28 × 5.59= 127452/10000

2.28 × 5.59=  12.75

Hence the quotient of  2.28 × 5.59  using compatible numbers is approximately 12.75

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Vertical angles are equal in measure.
Osometimes
Onever
O always

Answers

The vertical angles are always equal in measure.

What is Vertical Angle?

Vertical angles are angles opposite each other where two lines cross.

Here, As given in definition

All the vertical angles are always equal with each other.

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Emergency answer now I will make it brainliest!!!!

Answers

are there any answer choices?????

Step-by-step explanation:

Seleccione el número que se puede
describir mejor como enteros.

Answers

the second one

Step-by-step explanation:

If JL = 30, JK = 18, and LM = 6, then the value of LN is:

Answers

Answer: LN = 15

Make a proportional relationship:

[tex]\sf \dfrac{LN}{JL} = \dfrac{LM}{KL}[/tex]

Insert the values:

[tex]\rightarrow \sf \dfrac{LN}{30} = \dfrac{6}{30-18}[/tex]

cross multiply:

[tex]\rightarrow \sf LN = \dfrac{30(6)}{12}[/tex]

Simplify:

[tex]\sf LN =15[/tex]

Answer:

LN = 15

Step-by-step explanation:

The arrows on the line segments indicate they are parallel.

[tex]\implies \overline{KM} \parallel \overline{JN}[/tex]

Triangle Proportionality Theorem

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides proportionally.

[tex]\textsf{If }\overline{KM} \parallel \overline{JN}, \textsf{ then }\dfrac{LK}{LJ}=\dfrac{LM}{LN}[/tex]

Given:

LM = 6JL = 30JK = 18

⇒ LK = JL - JK = 30 - 18 = 12

Substituting the values into the equation and solving for LN:

[tex]\begin{aligned}\implies \dfrac{LK}{LJ} & = \dfrac{LM}{LN}\\\\\dfrac{12}{30} & = \dfrac{6}{LN}\\\\12LN & = 30 \cdot 6\\\\LN & = \dfrac{180}{12}\\\\LN & = 15\end{aligned}[/tex]

Grayson is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 15° per minute after being turned on. What is the temperature of the oven 6 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?

Answers

Answer:

155 Degrees

Step-by-step :

(Time x Rate of Temp) + Initial Temp = Final Temperature

Ex. (6 * 15) + 65 = 155 Degrees

Answer:

The temperature of the oven 6 minutes after being turned on is 155°

The temperature of the oven t minutes after being turned on is 15t + 65

Step-by-step explanation:

y=mx + b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

The y intercept is when x = 0, so the initial temperature

b = 65°

The slope is increase at a rate of per minute after being turned on.

m = 15°

The y coordinate will represent the temperature of the oven after a certain amount of minutes after being turned on

y

The x coordinate will represent the amount of minutes after the oven being turn on

x = t

combine:

What is the temperature of the oven tt minutes after being turned on?

y = 15t + 65

What is the temperature of the oven 6 minutes after being turned on?

t = 6 minutes

y = 15t + 65

y = 15(6) + 65

y = 90 + 65

y = 155

AND WELCOME TO BRAINLY!

Solve the following equation for x.
(5/6)x + 10 = 30
x = 24
x = 20
x = 20/6
x = 25/6

Answers

Answer:

x=24

Step-by-step explanation:

6×(5/6)x +6(10)=6(30)

5x +60=180

5x +60-60=180 - 60

5x=180 -60

5x=120

5x/5 =120/5

x=24

Show ALL work and calculations. Max needs to choose an outfit. He has three sweaters: red, blue and pink; two pants: yellow and black; and two kinds of shoes: dress shoes and running shoes.Draw a probability tree diagram to show all his combinations to choose from.

Answers

Answer:

- Red

    - Yellow

         - Dress

         - Running

    - Black

         - Dress

         - Running

- Blue

    - Yellow

         - Dress

         - Running

    - Black

         - Dress

         - Running

- Pink

    - Yellow

         - Dress

         - Running

    - Black

         - Dress

         - Running

Use the function to predict the minimum target heart rate for a person 20 years old. beats per minute

Answers

The minimum target heart rate for a person 20 years old is 120 beats per minute

How to predict the minimum target heart rate?

The equation of the function is given as:

y = -0.6x + 132

Where x represents the age, and y represents the minimum target heart rate

From the question, we have:

x = 20

Substitute x = 20 in y = -0.6x + 132

This gives

y = -0.6 *20 + 132

Evaluate

y = 120

Hence, the minimum target heart rate for a person 20 years old is 120 beats per minute

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Answer:

Answer is 120 !!

Step-by-step explanation:

~Hope this helps! :)

Keno and Angelita will randomly select from a treat bag containing 6 lollipops and 4 gum balls. -Keno will select a treat, replace it, and then select a second treat. -Angelita will select a treat, not replace it, and then select a second treat. Who has the greater probability of select 1 lollipop and then 1 gumball?​

Answers

Keno

[tex]|\Omega|=10^2=100\\|A|=6\cdot4=24\\\\P(A)=\dfrac{24}{100}=\dfrac{6}{25}=24\%[/tex]

Angelita

[tex]|\Omega|=10\cdot9=90\\|A|=6\cdot4=24\\\\P(A)=\dfrac{24}{90}=\dfrac{4}{15}\approx26,7\%[/tex]

Therefore, the answer is Angelita.

A three dimensional object is created by rotating a circle about one of its diameters.
What is the shape of the resulting object?
O A Cone
OB Disc
OC. Sphere
OD. Cylinder

Answers

Answer:

C.  Sphere

Step-by-step explanation:

If you rotate a circle about one of its diameters, it produces the three dimensional shape of a sphere.

See attached diagram.

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