During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
temperatures. However, high temperatures are possible for people who do not have the flu. It is estimated that
12% of those without the flu have high temperatures.
If a student has a high temperature, what is the probability that the student has the flu?

Answers

Answer 1

Answer: 0.8015

Step-by-step explanation:

Let F= event that a person has flu

H= event that person has a high temperature.

As per given,

P(F) =0.35

Then P(F')= 1- 0.35= 0.65               [Total probability= 1]

P(H | F) = 0.90

P(H|F') = 0.12

By Bayes theorem, we have

[tex]P(F|H)=\dfrac{P(F)\timesP(H|F)}{P(F)\timesP(H|F)+P(F')\timesP(H|F')}\\\\=\dfrac{0.35\times0.90}{0.35\times0.90+0.65\times0.12}\\\\=\dfrac{0.315}{0.315+0.078}\approx0.8015[/tex]

Required probability = 0.8015


Related Questions

Ans: 720cm
2
The ratio of the number of Malay students to the number of Indian students to the
number of Chinese students in a school is 5:4:8.
There are a total of 468 Indian and Chinese students.
What is the total number of students?
Ans:

Answers

Answer:

663

Step-by-step explanation:

the total number of students can be determined using this equation :

(total ratio of Chinese and Indian students / total ratio of students) x n = 468

total ratio of Chinese and Indian students = 4 + 8 = 12

total ratio of students 4 + 8 + 5 = 17

N = TOTAL NUMBER OF STUDENTS

12/17) x n = 468

multiply both sides of the equation by 17/12

n = 663

What is the greatest common factor of 6, 42, and 30?

Answers

Answer:

6

Step-by-step explanation:

I found that the greatest common factor for those numbers is 6

Naomi's fish is 40 millimeters long. Her guinea pig is 25 centimeters long.
How much longer is her guinea pig than her fish?

Answers

Explanation 1:

Her guinea pig is

25 cm  long.

25 cm = 250 mm

Her fish is  40 mm long, so her guinea pig is longer than her fish by

25 cm − 40 mm = 250 mm − 40 mm = 210 mm= 21 cm

Explanation 2:

First, lets convert the length of Naomi's guinea pig from cm to mm.

1 cm=10 mm

We can multiply each side of the equation by 25 to obtain the length of the guinea pig in mm.

25 × 1 cm = 25 ×  10 mm

25 cm = 250 mm

Because we have a length of the guinea pig and the fish in a common metric we can subtract the two values: 250 mm − 40 mm = 210 mm The guinea pig is 210 millimeters longer than the fish. Or, if we want to convert this to centimeters we can divide by 10: 210 millimeters 10 = 21 centimeters

Hope this helps have a good day/night!

:21 ezz it is 21 centimeters

Write an expression that represents the height of a tree that begins at 5 feet and increases by 4 feet
per year. Let y represent the number of years.

Answers

4y+5. Btw it’s a linear equation, the y intercept is 5 and the slope is 4

All real numbers greater than or equal to -7 and less than 2

Answers

Answer:

-7=<x<2

Step-by-step explanation:

1/2 divided by 4 pls help

Answers

Answer:

1/8

Step-by-step explanation:

1/2÷4=

1/2×1/4=1/8

Answer:

1/8= 0.125

Step-by-step explanation:

1/2÷4

1/2 x 4 = 1/8

The answer to 1/2 divided by 4 in fraction form is: 1/8.

3) A basketball player averaged 17.3 points per game during his collegiate career. He played in 148
games total. How many points did he score while in college? Round to the nearest whole
number.
a. 2000
b. 2500
c. 2560
d. 2560.4
THIS IS FOR A TEST

Answers

I would say d sorry if wrong

h ft
5 ft
30 ft
6 ft

A. 20
B.25
C.23
D.30

Please help!!

Answers

Answer:

25ft

Step-by-step explanation:

You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:

30/6=5

Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:

5 x 5=25

I hope this helped you!

Jacob made a banner for a sporting event in the shape of a parallelogram. The area of the banner is 127 1/2 square centimeters. The height of the banner is 4 1/4 centimeters. What is the base of the banner?


PLS HELP PLS PLS​

Answers

Answer:

The base of the banner is 30 centimeters.

Step-by-step explanation:

Area = base × height

Plug in the numbers:

127 1/2 = b × 4 1/4

Convert mixed fractions into improper fractions for easier calculations.

Improper fraction formula: (denominator × mixed number + numerator)/denoninator

(2 × 127 + 1)/2 = 255/2

(4 × 4 + 1)/4 = 17/4

Rewrite equation:

255/2 = b × 17/4

Isolate variable b by multiplying the reciprocal of 17/4 (which is 4/17).

1020/34 = b

Simplify.

30 = b

Find the equation of circle passing through points (5 7) and (2 -2 ) whose center lies on the 2x-y=1​

Answers

Answer:

(x-2)²+(y-3)²=5².

Step-by-step explanation:

1. the equation of line through points (5;7) and (2;-2) is:

[tex]\frac{x-5}{3} =\frac{y-7}{9}; \ => \ 3x-y-8=0.[/tex]

2. to find the equation of the line, which is perpendicular to the line 3x-y-8=0:

the vector (3;-1) is perpendicular to the line 3x-y-8=0 and it is the vector-pointer for the requred line, and if |n₁|*|n₂|=0 (where n₁ is normal vector to the line 3x-y-8=0 and n₂ is normal vector to the required line), then 3*x-1*y=0 (where 'x' and 'y' any numbers). x=1; y=3, then n₂(1;3), then the required line is x+3y+C=0, where C - is unknown number.

3. to find the equation of the line, which is perpendicular to the line 3x-y-8=0 and passes through the middle point of (5;7) and (2;-2):

middle point is (7/2;5/2), then after substitution of coordinates of the middle point into the equation x+3y+C=0 it will be 3.5+3*2.5+C=0, ⇒ C= -11.

the required equation is x+3y-11=0

4. to calculate the intersection point of x+3y-11=0 and 2x-y=1:

[tex]\left \{ {{2x-y=1} \atop {x+3y=11}} \right. \ => \ (2;3)[/tex]

the point (2;3) is the centre of the required circle.

5. to calculate the radius² of the required circle:

r²=(5-2)²+(7-3)² or r²=(2-2)²+(2+3)², then r²=5².

6. if the centre of the required circle is (2;3) and its r²=25, then it is possible to make up the equiation of the circle:

(x-2)²+(y-3)²=5².

Find the tangent of angel U.

Answers

Answer:

C

trust me that is my answer

C, 8/15

Tangent is opposite over adjacent. Opposite of angle U is 8 and adjacent is 15.

which exprssion can we use to convert 40 ounces to pouds

Answers

Answer:

2.5

Step-by-step explanation:

40 ounces = 2 12 pounds

So, 40 ounces = 4016 = 2 12 or 2.5 pounds.

Hope this helps and sorry if it doesn't

Can I get brainliest

To covert any value in ounces to pounds, just multiply the value in ounces by the conversion factor.

Hope this helps :)

WILL MARK BRSINLIEST ANSWER IF GOTTEN RIGHT

Answers

Answer:

16.8km

Step-by-step explanation:

Arc length = 2πr(θ/360)

=2π(8)(120/360)

=16.7551608191

≈16.8km

Answer:

16.8 km

Step-by-step explanation:

Arc length = 2πr (θ/360)

So plug in the values:

2π(8)(120/360)      =        16π(1/3)      =       16π/3

16.75516 ——————> 16.8 km

Kristy rides 6 miles on her bike in 40 mins. Jax rides his bike 4 miles in 30 mins. Drag the tiles to complete the ratio tables. Tiles may be used once, more than once, or not at all

Answers

Answer:

12

Step-by-step explanation:

Answer:

Jax 4,8,12,16,20

And the last box is 60

Step-by-step explanation:

WILL GIVE BRAINLYIST
69X420

Answers

Answer:

28,980

Step-by-step explanation:

Easy claps my boiiiiiiiii

Hail Hydra

is -6 or -3 bigger please help fnfrififnrrfee

Answers

Answer:

-3

Step-by-step explanation:

-3 is bigger because it is closer to zero on a number line. it is closer to a positive number on the number line. I hope this helps

Find the area of the composite figure.

Answers

Answer:

B. [tex] 200.5 \: {m}^{2} [/tex]

Step-by-step explanation:

Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m

[tex] = {(12)}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14(6)^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14 \times 36 \\ \\ = 144 + 56.52 \\ \\ = 200.52 \: {m}^{2} \\ \\ \approx \: 200.5 \: {m}^{2} [/tex]

Please help This Is A Speed, Time and Distance Worksheet!

Please SHOW your WORK!

Answers

I can't help you sorry

Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 3% in interest and the other pays 6% in interest, how much does he have in each account if he earned a total of $960 in interest in 1 year?

He invested $__ in the 3% account and $__ in the 6% account.

Answers

Answer:

8000 and 12,000

Step-by-step explanation:

Let the amount of money deposited in the 3% account be known as "x"

The amount of money deposited in the 6% account would be "20,000 - x" (aka the remaining amount of money not put into the first account)

3% Interest -> 0.03 *

6% Interest  -> 0.06 *

0.03 * x + 0.06 * (20,000 - x) = 960

0.03x + 1200 - 0.06x = 960

-0.03x = -240

x = 8000

20,000 - x

20,000 - 8000 = 12000

An entry code into a building is a 5-digit number.
The number of different codes can be counted using
a. permutations
b. combinations

Answers

Answer:B

Step-by-step explanation:

Find the surface area of the prism. 5cm 7cm 4cm

Answers

To find the volume it is Length x Width x Height
so 7 x 5 x 4 = 140cm
140 cm is the answer
Hoped this helped =)

arctan(tan(18pi /7))

Answers

Answer:

what is this ?!?!?!?!

Step-by-step explanation:

btw can u be more specific so i can properly help u

Write two integers whose sum is 6 and difference is also 6.

Answers

Answer:

6,0

Step-by-step explanation:

A circular table cloth has a radius of 24 inches. Mrs. Lopez is planning to sew a
piece of trim around the edge of the table cloth. To the nearest inch, how much
trim will she need?

Answers

Answer:

150 inches

Step-by-step explanation:

C=2πr

2·π·24 ≈ 150.79645

Mrs. Lopez need to sew a piece of cloth whose length be 150.72 inches.

What is circumference?

A circumference gives the length around a circular object, it is the perimeter used for the circular objects.

Given that a circular tablecloth has a radius of 24 inches, we need to find the length around it,

So, the length around a circular object is its circumference,

We know that circumference of the circular object = π × diameter,

Diameter = 2 × radius = 48 inches.

So, the length around the circular cloth = π × 48

= 3.14 × 48
= 150.72

Hence Mrs. Lopez need to sew a piece of cloth whose length be 150.72 inches.

Learn more about circumference, click;

https://brainly.com/question/28757341

#SPJ2

giving brainliest!! *easy*

Answers

Surface area is 1256.64

Help anybody? If so thanks

Answers

Acute angle and a right angle makes a obtuse I learned this in 4th

Which is the better buy: 12 OZ for $1.25or 18 OZ for $1.75?

Answers

Answer:

18 OZ is better$1.75 to buy

what is the x-intercept?

Answers

Answer:

-2

Step-by-step explanation:

I'm not 100% sure but...

The x-intercept is when the y is 0.

And if we look at the coordinate plane, then we see that the x-intercept is two units down, and y is zero, which means that it would probably mean that the x-intercept is -2.

What is the range of the function graphed below?

A. Y>-1
B X< -1
C X>-1
D Y< -1

LOOK AT THE GRAPH.

Answers

Answer:

Option A

Step-by-step explanation:

Range of a function is defined by the set of y-values (output values).

From the given graph,

Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)

Therefore, Range of the given exponential function will be y > -1

Option A will be the correct option.

Find the area of the figure to the nearest tenth

A. 99.0 in.
B. 31.5 in.
C. 11.0 in
D. 155.5 in.

Answers

Answer:

155.5 is the answer

Step-by-step explanation:

Answer:

The correct answer is A) [tex]99.0 \ in.^{2}[/tex]

Step-by-step explanation:

Just took the test

hope this helps :)

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