The probability that one has a dog allergy when tested positive will be 0.3311.
What do you mean by probability?
Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.
According to the given question,
We have the given information:
1% of the population has an allergy to dogs.
This will be:
= 1% × 100000
= 1000
So, 1000 people have an allergy to dogs.
The number of people who doesn't have allergy to dogs will be:
= 100000 - 1000
= 99000
Those that have allergies = 2% × 1000 = 20
So, the probability that one has dog allergy will be:
= P(has allergy and test positive)
= (0.01 × 0.98) + (0.098 + 0.0198)
= 0.0098/0.0296
= 0.3311
Therefore, the probability is 0.3311.
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To investigate the relationship between age and preference for two mayoral candidates in an upcoming election, a random sample of city residents was surveyed. The residents were asked which candidate they preferred, and each resident was classified into one of three age-groups. The test statistic for the appropriate hypothesis test was 3.7408. Approximately what is the probability that the observed responses would be as far or farther from the expected responses if there is no association between age-group and preference?
A. 0.0001
B. 0.1541
C. 0.2908
D. 0.5873
E. 0.7117
Answer:
B. .1541
Step-by-step explanation:
Not sure why but the teacher answer key had this listed, came on here to see why
Please answer I need help for math
Answer:
D. 248mi^2
Step-by-step explanation:
first find the area of the top and bottom which is 6x4 which is 24
then find the area of the side squares 10x4 which is 40 and then find the front and back squares which is 6x10 which is 60. then add them all up 24+24+40+40+60+60=248
Tina walks 1/2 mile in each 1/3 hour.
What is Tina's walking rate?
6 miles per hour
5 miles per hour
3/2 miles per hour
16 mile per hour
Answer:
6 mile per hour
Step-by-step explanation:
Tina runs 3/2 miles in an hour and it is her walking rate.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Tina walks 1/2 mile in each 1/3 hour.
So, Tina's walking rate is the distance she runs in an hour which is,
In (1/3)×3= 1 hour she runs (1/2)×3 = 3/2 miles.
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C4W2 Day 4_Weekly DOL Change In-Surface Area (1)
4. What is the approximate area of the
hexagon?
A 86.41 cm?
B 42.42 cm
C 62.35 cm?
D 33.49 cm?
suppose that you borrow $12000 for 4 years at 6% towards the purchase of a car. use pmt to find the monthly payments and the total interest for the loan
Answer:
Equivalent representations of percent problems
Step-by-step explanation:
Suppose you invest, every month, in an annuity that pays 3% interest, compounded monthly. After 25 years, you have $550,000. How much money do you earn from interest? Round your answer to the nearest hundred dollars. Do NOT round until you have calculated the final answer.
Answer:
180100
Step-by-step explanation:
Use savings annuity formula
Substitute A(25) = $550,000 , R= 0.03 and N=12 simplify and solve for D.
You have earned 292589 dollars from compound interest.
What is compound interest ?Compound interest is calculated from both the initial principle and the previous accumulated interest.
According to the given question you invest, every month, in an annuity that pays 3% interest.So r = 3.
After 25 years, you have 550,000 dollars so amount (A) = 550,000.
We know, Interest = Amount - Principle.
A = P(1 + r/100)ⁿ, where n represents time in years.
Given n = 25.
The interest is compounded monthly so the formula will be
A = P[1 + (r/12)/100]¹²ⁿ.
555000 = P[ 1 + 3/1200]¹²ˣ²⁵.
555000 = P[ 1203/1200]³⁰⁰.
555000 = P(1.0025)³⁰⁰.
555000 = 2.115P
P = 262411.
CI = ( 555000 - 262411) dollars.
CI = 292589 dollars.
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sinx dx+y[tex]sinx dx+y^{2} dy=0
what is m <1 + m <4?
Answer:
m < 3 ?
Step-by-step explanation:
Please help due today
In order to form a more perfect union.
If the Volume of a Cylinder is 25*pi* and the radius is 4, what is the height "h"?
Round your answer to the nearest tenth if needed.
Answer:
The height of the cylinder is 0.497.
Step-by-step explanation:
Given that the Volume of a cylinder is 25 and the radius is 4, to determine what is the height of said figure, the following calculation must be performed, knowing that the volume of a cylinder is calculated using the following formula (3.14 x r^2 x h = X):
3.14 x (4x4) x h = 25
3.14 x 16 x h = 25
50.24 x h = 25
h = 25 / 50.24
h = 0.497
Therefore, the height of the cylinder is 0.497.
A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1 1/4 B) 1 2/3 C) 4 D) 10 (B is not 12/3)
Answer:
The correct option is A:
MAD = 1 + 1/4
Step-by-step explanation:
For a set of N elements {x₁, x₂, ..., xₙ}
The mean is calculated as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the mean absolute deviation is calculated as:
[tex]MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}[/tex]
Here we have the set of 8 elements:
{ 2, 2, 3, 4, 4, 5, 6, 6}
The mean of this set is:
M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4
Then the mean standard deviation is:
[tex]MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8[/tex]
If we simplify this, we get:
MAD = 10/8 = 5/4 = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4
MAD = 1 + 1/4
The correct option is A.
please help! i’ll mark brain list!!
Answer:
160
Step-by-step explanation:
LxWxH divided by 2
8x8x5=320
320/2=160
Find the length of a rectangular prism if the volume is 70 m3, the width is 2 m, and the height is 7 m. 5 m
Answer:
5 m
Step-by-step explanation:
Anyone know the answer?
Answer:
No. Im sorry!
Step-by-step explanation:
how did they get that answer? please answer
Answer:
Look at my explanation
Step-by-step explanation:
The circumference of a circle is 2πr, so you can set it up like this since the circumference was 22π.
2πr = 22π
divide both sides by 2
πr = 11π
divide both sides by π
you get r = 11
So your radius is 11.
To find the area, you must do πr^2 ("^2" means squared)
if you substitute 11 for r you get
11π^2
you can do 11 squared first
11^2 = 121
the area of the circle = 121π
Keep in mind that they said to use 3.14 for π
so you can do 121 x 3.14
Final Answer: 379.94
WILL MARK BRAINLIEST
Solve for x.
3
1
2
140
Answer:
x=1
Step-by-step explanation:
141x-1=2(70)
141x=140+1
141x=141
x=141/141
x=1
Answer correctly and. I will give Brainly
Answer:
5
Step-by-step explanation:
since its isosceles AB = BC
3x - 4 = 5x - 10
2x = 6
x = 3
AB = 3(3) - 4
= 9 - 4
= 5
1 2 3 4 5 6 7 8 9 0 q w e r the y u I o p a s d f g h j k l z x c v b n m
Answer:ABCDEFGHIJKLMNOPQRSTUVWXYZ
Step-by-step explanation:
Identify the terms, coefficients, and constants in the expression: 10x + 19 HDLSJSHSG SHSHAS HELP
Step-by-step explanation:
the term is 10x +19
cosf$icients is 10 and
constant is 19
Which expression does NOT equal 10/12?
1. 5/12 + 5/12
2. 3/12 + 2/12 +2/12 + 2/12 + 1/12
3. 4/12 + 3/12 + 2/12 + 1/12
4. 5/12 + 4/12 + 3/12 + 2/12 + 1/2
Answer:
4.
Step-by-step explanation:
5+4+3+2+1 does not equal 10, from what i've learned. :)
Tom needs AT LEAST $400 for a new video game system. He already has $120. He earns $8 an hour at his job. Solve the equality.
Answer:
428
Step-by-step explanation:
WHAT IS 225/100 IN DECIMALS AND PERCENTAGES
Answer:
2.25 and 225%
Step-by-step explanation:
5(x + 2) = 5x + 10 is an example of the property?.
Answer:
Distributive property
Step-by-step explanation:
what is the median of 11, 10, 8, 7, 7, 7, 5, 4, 3, 3, 3,
HELP please please please please please
Hello!
This is just a conceptual problem where you'll be converting units.
If her semitrailer is 3.5m high and the bottom of the bridge (how tall the support beam are) is 11ft 9in high, we'll need to convert them into the same units and then compare both values.
Let's convert from inches to meters.
Since there are 12 inches in a feet, we can convert 11 feet into 132 inches, meaning that the bottom of the bridge is at 141 inches.
In 1 meter, there is around 39.37 inches, so we'll be dividing 141 by 39.37, giving us a number of around 3.5814, meaning that the bottom of the bridge is higher than the height of the semitrailer, and her vehicle will fit under the bridge.
Hope this helps!
4. A recipe says that 2 3/5 cups of flour are needed to make 1 batch of biscuits. How many cups of flour are needed to make 2 batches of biscuits? O 43/5 O 51/5 O 26/10 O 6
Points A and B are on opposite sides of the Grand Canyon. Point C is 200 yards from A. Angle B
measures 87° and angle C measures 67º. What is the distance between A and B? Round answer to
nearest tenth.
Answer:
AB = 184.4 yards
Step-by-step explanation:
The description here gives a triangle with two angles and a side. Let the distance between A and B be represented by d. Thus applying the Sine rule, we have;
[tex]\frac{a}{Sin A}[/tex] = [tex]\frac{b}{Sin B}[/tex]
[tex]\frac{200}{Sin 87}[/tex] = [tex]\frac{d}{Sin 67}[/tex]
d = [tex]\frac{200*Sin 67}{Sin 87}[/tex]
= [tex]\frac{200*0.9205}{0.99863}[/tex]
d = 184.3526
Thus, the distance between points A and B is 184.4 yards
Answer:184.4
Step-by-step explanation:
If the length of a rectangle is 12 times the width and the area is 48 square feet, what are the
dimensions?
Answer:
dimensions are 2 ft, 24ft
Step-by-step explanation:
width = w
length = 12w
Area of rectangle = 48 square feet
length * width = 48
12w * w = 48
12w² = 48 {Divide both side by 12}
w² = 48/12
w² = 4 =2²
w =2 ft
l = 12*2 = 24ft
Answer:
Solution :-Let the width be w and Length will be 12w
So,
Area = lw
48 = 12w × w
48/12 = w²
4 = w²
√4 = √w²
2 = 2
Length = 12(2) = 24 cm
Breadth = 2 cm
[tex] \\ [/tex]
Henry bought a car for $14,000. After two years, the value of the car was $8,400. What was the percent decrease in the value of the car after two years?
Answer:
40%
Step-by-step explanation:
I I have taken 14000-8400=5600. then I took the formula =decrease × 100 over original price hope that helps.
There will be 40 percent decrease in the price of the car after two years.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The initial price of car = $14,000
After two year, the price of car = $8,400
The decrease in the price of the car = 14,000- 8,400
= 5600
The decrease in percentage = 5600×100/14000
= 560/14
= 40%
The percent decrease in the value of the car after two year is 40%.
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I WILL NAME BRAINSLEST WHI EVER ANSWRS FIRST AND DOESNT MAKE ME READ A LOT
The lengths of the three sides are 4 centimeters, 2 centimeters, and 7 centimeters.
The measures of two angles are 30 and 60 and the length of the included side is 12 inches.
The measures of the three angles are 45, 75, and 60"
Number of
Triangles
Glven Conditions
0
1
infinitely
many
Answer:
60? Maybe could be wrong
Step-by-step explanation:
0 Sides 4 cm, 2 cm, 7 cm
1 ASA = 30°, 12 in, 30 cm
∞ Angles 25°, 75°, 60 °
FOUND THIS IN BRAINLY
Answer:
0 matches with 4,2, and 7 centimeters.
1 matches with 30, 60, and 12
infinitely many matches with 45, 75, and 60!