Answer:
Hence, the probability of a Negative test is [tex]P(T^C)=0.5904[/tex].
Step-by-step explanation:
(a)
Let [tex]D=[/tex] Drug user and [tex]T=[/tex] Test positive
Probability of drug users [tex]P(D)=36\%=0.36[/tex]
[tex]P(\frac{T}{D})=96\%=0.96[/tex]
[tex]P(\frac{T^c}{D^c})=90\%=0.90[/tex]
(b)
Find the Probability of a Negative test,
[tex]P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)[/tex]
[tex]\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36[/tex]
[tex]\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36[/tex]
[tex]\Rightarrow P(T^C)=0.576+0.0144[/tex]
[tex]\Rightarrow P(T^C)=0.5904[/tex]
Help me I don’t understand I’m very confused
Answer:
5 meters
Step-by-step explanation:
A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.
Answer:
1. 6
2. 6
3. 10
4. 600
Step-by-step explanation:
edg :)
The complete table is given below.
x f(x) g(x) h(x)
1 2 3 6
2 4 6 24
5 10 15 150
10 20 30 600
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), and a ratio of 2 to 3. The area of the deck is represented by the function h(x).
The functions are given below.
f(x) = 2x
g(x) = 3x
h(x) = f(x) × g(x) = 6x²
Complete the table with the missing side lengths and areas of the deck.
x f(x) g(x) h(x)
1 2 3 6
2 4 6 24
5 10 15 150
10 20 30 600
More about the function link is given below.
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True or false: 12 + 18 is equivalent to 6(2+3).
Answer: True
Step-by-step explanation:
In each of the following equations, find all the integers x satisfying the equation:
a. | x-20 | = 20
b. | x | + 7 = 16
c. | 15x | = | -15x |
Answer:
b
Step-by-step explanation:
There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars could be in the parking lot?
Answer:
This depends on how many cars or trucks there are, but there could be 8 trucks when there is 10 cars, or 20 trucks when there is 25 cars.
The triangles below are similar. Find the length and round to the nearest tenth if necessary.
Answer:
x=48
Step-by-step explanation:
You start with the values of 4 and 16. Figure out how many times 4 goes into 16, which is 4. (4*4=16)
Now, since 4 is multiplied by itself to reach the value of 16, 12 will also be multiplied by 4 to give you the value of x.
Which equation in rectangular form describes the parametric equations x=2-3 cos t and y=1+4 sin t?
Answer:
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
Step-by-step explanation:
We proceed to use the following trigonometric identity to derive an expression in rectangular form:
[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)
Where:
[tex]\cos t = \frac{2-x}{3}[/tex] and [tex]\sin t = \frac{y-1}{4}[/tex]
Then, we expand the expression as follows:
[tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex] (2)
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
f(x) = x^2. what is g(x)?
You went out to dinner with your friends. You are going to leave an 18% tip; how much money should you leave if the bill is $36.00? Include the tip and the food cost. You will pay $
900% of what number is 7,470
Answer:
830
Step-by-step explanation:
7470/9 = 830
Answer:
900% of 7470=67230
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 7470 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 7470 is 100%, so we can write it down as 7470=100%.
4. We know, that x is 900% of the output value, so we can write it down as x=900%.
5. Now we have two simple equations:
1) 7470=100%
2) x=900%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
7470/x=100%/900%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 900% of 7470
7470/x=100/900
(7470/x)*x=(100/900)*x - we multiply both sides of the equation by x
7470=0.11111111111111*x - we divide both sides of the equation by (0.11111111111111) to get x
7470/0.11111111111111=x
67230=x
x=67230
now we have:
900% of 7470=67230
Darell made a scale drawing if a house its lot he used the scale 1 inch: 9 feet in the drawing the backyard is 5inches wide what is the width of the actual yard
Answer:
Your answer is 45
Step-by-step explanation:
Hope this helps! :D
Zoe compares the price of a sweatshirt at two stores. At Store A, the sweatshirt costs $25. A friend told her that the sweatshirt costs 30% more at Store B.
Zoe wrote the expression 25+0.3(25) to find the price of the sweatshirt at Store B.
Which equivalent expression could she also use to find the price of the sweatshirt at Store B?
A) (1+0.3)25
B) (1−0.3)25
C) 1+0.3(25)
D) 25 + 0.3
Answer:
A) (1+0.3)25
Explanation:
Zoe's expression 25+0.3(25) equals to 32.5. So the only expression that equals to 32.5 is A) (1+0.3)25.
What are the square roots of 100?
Answer:
10 and -10.
Step-by-step explanation:
10 * 10 = 100
-10 * -10 = 100.
CAN SOMEONE HELP ME PLEASE I NEED TO PASS
Answer:
Circumference is 18.84956
Area: 28.27433
Step-by-step explanation:
(Circumference) C=2πr=2·π·3≈ 18.84956
(Area) A=πr2=π·32≈ 28.27433
If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters. True False
Answer:
True
Step-by-step explanation:
The Answer is 75.36 cm
2 x (pi)3.14 = 6.28
6.28 x (r)3 = 18.84
18.84 x (h)4 = 75.36
The statement, "If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters." is true.
What is cylinder?"A cylinder is a three-dimensional geometrical structure which consists of two circular bases connected with a curved surface."
Formula to calculate the area of the lateral surface of a cylinder:For a cylinder with radius r and height h,
the curved / lateral surface area is,
A = 2 × π × r × h
Given: r = 3 cm, h = 4 cm
Using the formula for area of lateral surface of a cylinder:
⇒ A = 2 × π × 3 × 4
⇒ A = 24 × π
⇒ A = 24 × 3.14
⇒ A = 75.36 sq.cm.
Therefore, given statement is true.
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What is the slope of a line parallel to the line whose equation is 2x +y= -7. Fully
simplify your answer.
Find the area of the shaded region in the drawing round to the nearest tenth show all work
Answer:
The area of the shaded region is:
488 ft^2.Step-by-step explanation:
First, we're gonna find the area of the whole rectangle and next we can subtract the area of the triangles in the corners, we use the next formula:
Area of a rectangle = width * heigthAnd we replace the measurements in the picture (32 ft and 16 ft):
Area of a rectangle = 16 ft * 32 ftArea of a rectangle = 512 ft^2Now, we must calculate the area of a triangle, this can be made by this formula:
Area of a triangle = (base * height) / 2We can replace the values we have in the picture (4 ft and 6 ft), then:
Area of a triangle = (4 ft * 6 ft) / 2Area of a triangle = (24 ft^2)/ 2Area of a triangle = 12 ft^2As you can see in the picture, we have to subtract two triangles with the same measurements, by this reason, we multiply the area of the triangle by two and we'll obtain the area we must subtract:
Area to subtract = (12 ft^2) * 2Area to subtract = 24 ft^2At last, we take the area of the whole rectangle and subtract the area of the triangles:
Area of the shaded region = 512 ft^2 - 24 ft^2Area of the shaded region = 488 ft^2The area of the shaded region is 488 ft^2.
what is the answer to 3(x-2)+15=-3(x-3)
i will give brainliest
Answer:
x = 0
Step-by-step explanation:
3(x - 2) + 15= -3(x - 3)
3x - 6 + 15 = -3x + 9
3x + 9 = -3x + 9
3x + 3x = 9 - 9
6x = 0
x = 0
Plz help me well mark brainliest if you are correct!!
Answer:
B) 35°
Step-by-step explanation:
12.00P.M.= 85°
8.00A.M.= 50°
=85-50
=35°
The Unit Circle
What is the period for the graph of y = cos(∅)? (Sketch a graph to help determine the answer)
a. 180°
b. 90°
c. 360°
d. 270°
Please select the best answer from the choices provided
Answer:
C. 360°
Step-by-step explanation:
I calculated it logically
Answer:
Answer is C) 360°
Step-by-step explanation:
160% of what number 56?
Answer:
160% of 35 is 56.
Step-by-step explanation:
[tex]\frac{56}{y} :\frac{160}{100}[/tex]
y · 160 = 56 · 100
160y = 5600
160y ÷ 160 = 5600 ÷ 160
y = 35
Please answer for branliest
find the difference between 0.1 kg and 75g
Answer:
25 g
Step-by-step explanation:
0.1 kg can be written as 100 grams
& 75 g
while 1 kg is 1000 grams
so difference:-
(100- 75 ) grams
= 25 g
The difference between 0.1 kg and 75 g is 25 grams. To find the difference between 0.1 kg and 75g, you need to make sure both quantities have the same unit.
Since 1 kg is equal to 1000 g, you can convert 0.1 kg to grams:
0.1 kg = 0.1 * 1000 g = 100 g
Now, the two quantities are in the same unit:
0.1 kg - 75 g = 100 g - 75 g = 25 g
So, the difference between 0.1 kg and 75 g is 25 grams.
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Combine like terms to create an equivalent expression: 6.7+3.5x+3.3-4.7x
Step-by-step explanation:
....djdjbeoehehoeebdnskeje
A sixth grade class recorded the number of letters in each students first name. The results are shown in the dot plot. Which is the best representation of the center of this data set?
Answer:
the center of the data set is 7 so probably 7
7 is the best representation of the center of given data set.
The correct answer is an option (C).
What is center of data?"It is the middle of a distribution.""Mostly, The measures of the center of the data are the mean and the median."What is mean?"It is the average of the given numbers."
What is median?"I is the middle value of a sorted list of numbers."
For given question,
We have been given a dot plot of the number of letters in each students first name.
From the given dot plot,
We have data as 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11
From above data,
the total number of students in the class are n = 30
We write 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11 as 3, (4 × 2), (5 × 4), (6 × 7), (7 × 7), (8 × 3), 9, (10 × 2), (11 × 3)
So, the mean of the above data would be,
[tex]\Rightarrow \bar{X}=\frac{3+ (4\times 2)+(5\times 4)+(6\times 7)+(7\times 7)+(8\times 3)+9+(10\times 2)+(11\times 3)}{30}\\\\\Rightarrow \bar{X}=\frac{208}{30}\\\\\Rightarrow \bar{X}=6.93\\\\\Rightarrow \bar{X}\approx 7[/tex]
From above data we can observe that there are two numbers in middle of the data 6 and 7.
So, the median would be,
[tex]\Rightarrow M=\frac{6+7}{2}\\\\\Rightarrow M=6.5\\\\\Rightarrow M\approx 7[/tex]
Therefore, 7 is the best representation of the center of given data set.
The correct answer is an option (C).
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Evaluate the following expression if x= 2.14
3.35x + 25 - 2x
Answer:
The final answer is 27.889 (Feel free to round it)
Step-by-step explanation:
3.35 x 2.14 = 7.169
7.169 + 25 = 32.169
2 x 2.14 = 4.28
32.169 - 4.28 = 27.889
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Eight eagle stamps and two raccoon stamps cost $2.80. Three eagle stamps and four raccoon stamps cost $2.35. Find the cost of each kind of stamp
Show work please
Answer:
Cost of each eagle stamp = $0.25
Cost of each racoon stamp = $0.4
Step-by-step explanation:
Given:
Cost of 8 eagle stamp and 2 racoon stamp = $2.80
Cost of 3 eagle stamp and 4 racoon stamp = $2.35
Find:
Cost of each stamp
Computation:
Assume;
Cost of each eagle stamp = e
Cost of each racoon stamp = r
So,
8e + 2r = 2.80........... Eq 1
3e + 4r = 2.35 ........... Eq 2
Eq 1 x 2
16e + 4r = 5.6 .........Eq3
Eq 3 - Eq 2
13e = 3.25
e = 0.25
Cost of each eagle stamp = $0.25
8e + 2r = 2.80
8(0.25) + 2r = 2.80
2 + 2r = 2.80
r = 0.4
Cost of each racoon stamp = $0.4
Jessica choose fruit cup and salad as the side dishes with her lunch everyday for 15 days
Answer:
she ate about 2.5 fruit cups each day
Step-by-step explanation:
PLEASE HELP!! STUCK FOR A WHILE
solve for x
What is another way to express 42 +24?
Answer:
42*2
Step-by-step explanation:
42*2
Answer:
24 + 42, if thats not what your looking for comment and I'll fix it! :)