Answer:
[tex]x = 0.143[/tex]
[tex]P(High\ |\ Cancer) = 0.215[/tex]
Not independent
Step-by-step explanation:
Given
See attachment for proper table
Solving (a): The missing probability
First, we add up the given probabilities
[tex]Sum = 0.242+0.047+0.079+0.391+0.098[/tex]
[tex]Sum = 0.857[/tex]
The total probability must add up to 1.
If the missing probability is x, then:
[tex]x + 0.857 = 1[/tex]
Collect like terms
[tex]x = -0.857 + 1[/tex]
[tex]x = 0.143[/tex]
Solving (b): P(High | Cancer)
This is calculated as:
[tex]P(High\ |\ Cancer) = \frac{n(High\ n\ Cancer)}{n(Cancer)}[/tex]
So, we have:
[tex]P(High\ |\ Cancer) = \frac{0.079}{0.242+0.047+0.079}[/tex]
[tex]P(High\ |\ Cancer) = \frac{0.079}{0.368}[/tex]
[tex]P(High\ |\ Cancer) = 0.215[/tex]
Solving (c): P(Leukemia) independent of P(High Wiring)
From the attached table
[tex]P(Leukemia\ n\ High\ Wiring) = 0.242[/tex]
[tex]P(Leukemia) = 0.242 + 0.391 =0.633[/tex]
[tex]P(High\ Wiring) = 0.242+0.047+0.079=0.368[/tex]
If both events are independent, then:
[tex]P(Leukemia\ n\ High\ Wiring) = P(Leukemia) * P(High\ Wiring)[/tex]
[tex]0.242 = 0.633 * 0.368[/tex]
[tex]0.242 \ne 0.232[/tex]
Since the above is an inequality, then the events are not independent
Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. How much would it cost Sarah to make 100 copies?
Answer:
$20
Step-by-step explanation:
5 copies cost $1.
25 copies cost $5.
So you have to do 100/5=$20 for 100 copies.
Answer:The answer is 20
Step-by-step explanation:
The sum of two numbers is 9 and their difference is 7. Find the two numbers.
8 and 1
4 and 5
6 and 3
9 and 0
Answer:
8 and 1
Step-by-step explanation:
The sum means that the two numbers added together make up what they're asking. Difference means you're subtracting between the two. For our purposes, we can just look at each answer option and firstly see which one has a difference of 7.
8-1=7
4-5=-1
6-3=3
9-0=0
And just to double check, we try adding 8 and 1, which is 9! Yay! :P
A cable 45 m long runs from the top of a utility pole to a point on the ground 40 m from the base of the pole. How tall is the utility pole, to the nearest tenth?
20.6 m
85 m
5 m
60.2 m
Answer:
20.6 m
Step-by-step explanation:
Hi there!
Assuming that the utility pole makes a 90-degree angle with the ground, this scenario creates a right triangle.
The 45 m-long cable is the hypotenuse and the 40 m between the base of the pole and the cable is one of the legs.
We must solve for the height of the utility pole, which is essentially the other leg of the right triangle.
We can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse
Plug in the known information (leg=40, hyp=45)
[tex]40^2+b^2=45^2\\1600+b^2=2025\\b^2=2025-1600\\b^2=425\\b=20.6[/tex]
Therefore, when rounded to the nearest tenth, the height of the utility pole is 20.6 m.
I hope this helps!
what is the percentage of 690 out of 800
Answer:
the percentage of 690 out of 800 is 86.25%
Step-by-step explanation:
690/800 = 0.8625
0.8625*100 = 86.25
hope it helped :)
mark me brainliest
Answer:
86.25%
Step-by-step explanation:
Plz help me solve this ASAP and show the work thank you
Answer:
14
Step-by-step explanation:
The diagram is right angle triangle so we can use SOHCAHTOA
So in the diagram we have 62 degree opposite to x and the hypotenuse
Step 1
Sin62=x/16
Step 2
X=16sin62 by cross multiplication
Step 3
X=14.13
X=14
2c(u-6)+(u-6) complete the expression
Answer:
the answer to the expression is u=4
[tex]\frac{5}{8}[/tex]· [tex]\frac{2}{3}[/tex]
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Multiply straight across and reduce.
[tex]\frac{5}{8}[/tex] · [tex]\frac{2}{3}[/tex] = [tex]\frac{10}{24}[/tex] = [tex]\frac{5}{12}[/tex]
Can someone please be generous and help me
Answer:
The point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]
The slope(m) can be calculated using [tex]\frac{y-y_{1} }{x-x_{1}}[/tex]:
[tex](x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3[/tex]
Using Point One, the point-slope form is determined as:
[tex]y-(-3)=3(x-4)\\y+3=3(x-4)[/tex]
The y-intercept(b) can be calculated as:
[tex](5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)[/tex]
identify the equation of the line graphed below
Order the steps and justifications in solving the system of linear equations. Equation 1: 4x+3y=8 Equation 2: −2x−3y=−4
Answer:
See explanation
Step-by-step explanation:
The two linear equations can be solved simultaneously;
4x+3y=8 -----(1)
−2x−3y=−4---(2)
If we multiply equation (1) by 1 and equation (2) by (2)
We have;
4x+3y=8 -----(3)
-4y - 6x = 4 ---(4)
Adding equation (3) and (4)
-3x = 12
x= -4
Substitute x = -4 into equation (1)
4(-4) + 3y = 8
-16 + 3y = 8
3y = 8 + 16
y= 24/3
y= 8
Hence;
x= -4 and y =8
Which of the following equations correctly represents the law of cosines?
A. 2 = 22 + b2 - 2ab.cos(B)
B. 2 = 22 + c2 - 2ac.cos(C)
C. a2 = b2 + c2 - 2bc.cos(A)
D. b2 = 22 +62 - 2bc.cos(B)
Answer:
D. b2 = 22 + 62-2bc.cos(B)
A car travels at a speed of x miles per hour for 3 hours and at half that speed for 2 hours. Which expression gives the total distance the car traveled in 5 hours?
Answer:
3x + (x/2) *2
Step-by-step explanation:
The distance for the first 3 hours is rate times time
x *3
The distance for the next 2 hours is rate times time
x/2 *2
Add them together to get the total distance
3x + (x/2) *2
What will you use if you are looking for the space bounded by a rectangle A. 2(I + w) B. S² C. B × h ________ 2 D. I × w
Answer:
A. 2(I + w)
Step-by-step explanation:
The space bounded by a rectangle is its perimeter. So, I would use 2(l + w) where l = length of rectangle and w = width of rectangle.
As an example, suppose we have a rectangle of length, l = 40 meters and width, w = 20 meters and seek to find its perimeter that is, the space bounded by the rectangle, we substitute the values of l and w into the equation for the perimeter.
So, P = 2(l + w)
substituting the values of l and w into the equation, we have
P = 2(l + w)
P = 2(40 m + 20 m)
P = 2(60 m)
P = 120 m
So the space bounded by the rectangle is 120 m.
So, to find the space bounded by a rectangle, we use 2(l + w).
So, the answer is A.
Using trial and improvement, find the solution between 5 and 6 for the following equation:
x
2
=
27
Give your answer rounded to 1 DP.
Answer:
2
Step-by-step explanation:
that is √ 14 which is 27 ×>44.2177
hi can you help me in mate plis simplify the following algebraic expressions
Answer:
[tex] \frac{3 {x}^{2} }{ {y}^{2} {z}^{6} } [/tex]
Step-by-step explanation:
I have attached the explanation above. hopefully this will help
Chứng minh a=(P.sinA/2)/(cosB/2.cosC/2)
Answer:
I can't understand your question friend.
. Out of 140 students, 50 passed in English and 20 passed in both Nepali and English. The number of students who passed in Nepali is twice the number of students who passed in English. Using a Venn-diagram, find the number of students who passed in Nepali only and who didn't pass in both subjects.
Answer:
80 ;
10
Step-by-step explanation:
Given :
Total number of students = μ = 140
Let :
Number of students who passed in English = E
Number of students who passed in Nepali = N
n(NnE) = 20
n(E) only = n(E) - n(NnE) = 50 - 20 = 30
Students who passed English only = 30
Number of students who passed in Nepali is twice the number who passed in English
n(N) = 2 * n(E) = 2 * 50 = 100
Number of students who passed in Nepali only
n(N) only = n(N) - n(NnE) = 100 - 20 = 80
Students who passed Nepali only = 80
The number who didn't pass both subjects :
μ - (English only + Nepali only + English and Nepali)
140 - (30 + 80 + 20)
140 - 130
= 10
What is X if
[-1 -2] +X = [-5 -1]
[4 8] [ 2 1]
A)
[-6 -3]
[6 9]
B)
[-6 -3]
[-2 -7]
C)
[-4 1]
[-2 -7]
Answer:
I think that ans is A.....
plss, help me!!!
Each of four friends orders a sweatshirt from a catalog. There are 16 colors of sweatshirts, 7 of which are all cotton and 9 wich are blend. Each one orders a different color ( no repeats) at random. What is the probability that the friends order only cotton sweatshirts?
===========================================================
Explanation:
Let's label the friends as A,B,C,D.
Person A has a probability of 7/16 when it comes to ordering a certain color of cotton sweatshirt.
Then 6/15 is the probability for person B. Note how the 7 and 16 drop by 1 for each. This is because no repeats are allowed. If person A goes for a blue sweatshirt, then person B cannot select blue as well.
Person C's probability is 5/14 and person D has a probability of 4/13
-------------------------
So we have these fractions: 7/16, 6/15, 5/14, 4/13
Once again, we have the numerators and denominators counting down by 1 each time.
Multiplying those fractions gets us...
(7/16)*(6/15)*(5/14)*(4/13)
(7*6*5*4)/(16*15*14*13)
840/43680
(1*840)/(52*840)
1/52
So if you did 52 trials of this, then you should expect about 1 of those trials is where each friend orders a different color cotton sweatshirt.
1/52 = 0.0192 = 1.92% approximately
So this happens about 1.92% of the time.
Determine the simplest expression for the area of shaded region below
Answer:
5x^2+3x^2+(3x+1)^2+(2x-4)^2
sketch the graph of xy = 3y² - 4
Answer:
xy = 3y² - 4
Step-by-step explanation:
Hope it is helpful....
In the file i have attached, you will find the equation graphed, hope this helps.
Determine the length of AB.
16.3 units
23.6 units
5.7 units
14.9 units
Answer:
16.3
Step-by-step explanation:
i just took the quiz
Answer:
16.3 units
Step-by-step explanation:
Helloo, I just took the quiz too and the answer is 16.3
Mike was in charge of collecting contributions for the Food Bank. He received
contributions of:
$40, $80, $60, $40, and $100
Find the mean, median, and mode of the contributions.
What is mean: A mean is the simple mathematical average of a set of two or more numbers. To solve for it add all numbers together then divide by how many numbers are there. (Its best to put them in order)
$40 + $40 $60 + $80 + $100= $320/5= $64 is the mean
what is median: The median is the value separating the higher half of a data sample
40,40,60,80,100 (i like to cross it out so 40 and 100 cancle each other, another 40 and 80 cancel each other) now that you are left with only 1 number which is 60 that is the median.
What is Mode: the number that repeats the most
Mode is 40 because 40 repeats twice
Tickets to a football final are selling well. On Thursday, 47 of the tickets are sold. On Friday, 14 of the tickets are sold. What fraction of tickets are available to sell on Saturday?
The question seems incomplete ; as the total number of tickets to be sold isn't given.
Answer:
61 / X
Step-by-step explanation:
Let's take the total Number of tickets to be sold as : X
Number of tickets sold on Thursday = 47
Number sold on Friday = 14
Fraction of tickets available for sale on Saturday :
(Total number of tickets already sold) / Total number of tickets to be sold
(Thursday + Friday sales) / total number of tickets to be sold
Fraction available for sale on Saturday = (47+14) / X
Fraction available for sale on Saturday = 61 / X
Kindly put value of x = total number of tickets available for sale to get the exact fraction.
Solve for x.
Help me please
Answer:
x = 24
Step-by-step explanation:
mathematically, in a cyclic quadrilateral, two opposite angles are supplementary
what this mean is that they add up to be 180
From what we have in the question, the two angles are supplementary and that means they add up to equal 180 degrees
thus, we have it that;
(4x + 9) + (3x + 3) = 180
4x + 3x + 9 + 3 = 180
7x + 12 = 180
7x = 180-12
7x = 168
x = 168/7
x = 24
Given a line segment that contains the points A,B, & C in order, if AB = x, BC = x, and AC is equal to 36, then x = _____.
Select one:
a. 18
b. 6
c. 36
d. 12
Answer:
a. 18
Step-by-step explanation:
AB+BC = AC
x + x = 36
2x = 36
x = 36/2
x = 18
Three coins are tossed and two dice are thrown at the same time. Find the probability of obtaining three heads and a total of 12 on the dice
Answer:
2/6 chance the dice be rolled to the total of 12
Iliana rotated trapezoid WXYZ 180° about the origin.
On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).
What is the correct set of image points for trapezoid W’X’Y’Z’?
W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)
Answer:
W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)
Step-by-step explanation:
The vertices of the trapezoid WXYZ are, W(-4, 2), X(-3, 4), Y(-1, 4), and Z(0, 2)
The coordinates of the image following the rotation transformation of the preimage (x, y) 180° about the origin is (-x, -y)
Therefore, following the rotation transformation of trapezoid WXYZ, the coordinates of the image W'X'Y'Z' are given as follows;
W(-4, 2) rotated 180° about the origin gives W'(4, -2)
X(-3, 4) rotated 180° about the origin gives X'(3, -4)
Y(-1, 4) rotated 180° about the origin gives Y'(1, -4)
Z(0, 2) rotated 180° about the origin gives Z'(0, -2)
Therefore, we get;
W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2).
Answer:
Its A
Step-by-step explanation:
i just took the test.
Round 7874 to the nearest 100
Answer:
7900 is the round off to the nearest hundred
If you cut 20 lemons by half and then cut half of these halves by half, how many lemon parts will you have?
Answer: 40
Step-by-step explanation:
If you cut 20 lemons by half and then cut half of these halves by half, then 80 lemon parts we have
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that 20 lemons are cut by half.
cut half of these halves by half.
We need to find how many lemon parts will you have.
Let us consider a lemon whic is 1
Now let us make it half 1/1/2=2
Now each part is divided to half =2/(1/2)=4
So for one lemon it has 4 parts.
Now let us find for 20 lemons.
Multiply 20 with 4
20×4
80 parts
Hence, If you cut 20 lemons by half and then cut half of these halves by half, then 80 lemon parts will you have
To learn more on Division click:
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