Answer:
The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:
P = 1 - P(1) - P(0)
Where:
P(1) = probability that the vaccine is not effective in one individual
P(0) = probability that the vaccine is not effective in 0 individuals.
The probability that the vaccine is effective is 0.95
Then the probability that the vaccine is not effective is 0.05.
Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:
p(1) = (0.05^1)*(0.95^19)
But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)
Then the actual probability is:
P(1) = 20*((0.05^1)*(0.95^19)) = 0.377
And P(0) is easy to compute:
P(0) = (0.05^0)*(0.95^20) = 0.358
And here we have only one possible permutation, so we do not worry about that.
Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265
This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)
30 points!! If line segment AB is dilated with a scale factor 1.5, what is the length
of the new line segment A'B'?
A) 5 cm
B) 7.5 cm
C) 12.5 cm
D) 15 cm
Answer:
B
Step-by-step explanation: You divide 30 by 1.5 and then divide 15 by t for segment A and then B
The length of the new line segment A'B' will be D) 15 cm.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given a line segment AB is dilated with a scale factor of 1.5.
Assuming the line segment has a length of 10 units.
∴ Dilating by a scale factor of 1.5 the length of the dilated line segment A'B'
it will be 1.5(10) = 15 units.
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I need help with this and can you explain how to do this?
3(2y + 3) + y
Answer: 7y + 9
Step-by-step explanation: First you will distribute 3(2y + 3). This means we will multiply 3 to the numbers in the parenthesis. 3 x 2y = 6y and 3 x 3 = 9. This is 6y + 9.
Now we have the y left over so combine like terms 6y + y and that is 7y.
Answer:
7y + 9.
Step-by-step explanation:
1. Expand by distributing terms.
3(2y + 3) + y
2. Collect like terms.
(6y + y) + 9.
3. Simplify.
7y + 9.
Hope this helps.
Have a good night ma´am/sir.
Be safe!
The following relation is a function: {(-8, – 9), (-4, 5), (1, 5), (4, 7)}
Answer:
Yes
Step-by-step explanation:
The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.
Hope this helps. Please mark brainliest.
y+7=y–3 how many solutions does this equation have?
Answer:
No value
Step-by-step explanation:
Y has zero solutions
Victor runs 3 laps around the track every 5 minutes. How long would it take to run 6 laps?
find the lengths of the missing side . Simplify all radicals !!!
help mee!!!!!!
Answer:
[tex] e = 13\sqrt{2} [/tex]
[tex] f = 13\sqrt{2} [/tex]
Step-by-step explanation:
The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.
Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:
Finding e:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
[tex] sin(\theta) = sin(45) = \frac{\sqrt{2}}{2} [/tex]
hyp = 26
opp = e = ?
Plug in the values into the formula
[tex] \frac{\sqrt{2}}{2} = \frac{e}{26} [/tex]
Multiply both sides by 26
[tex] \frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26 [/tex]
[tex] \frac{\sqrt{2}}{2}*26 = e [/tex]
[tex] \frac{\sqrt{2}}{1}*13 = e [/tex]
[tex] 13\sqrt{2} = e [/tex]
[tex] e = 13\sqrt{2} [/tex]
Since side e is of the same length with side f, therefore, the length of side f = [tex] 13\sqrt{2} [/tex]
please help... i’m stuck on that question.
Answer:
5 is the answer
Step-by-step explanation:
120/24=5
Answer:
A. 5
Step-by-step explanation:
The angle is 120 degrees because of certain rules which explanations I can't remember off the top of my head. To get 24z to equal 120 you plug in 5.
Morgan reads 45 pages in 60 minutes how much can she read in 1 minute
Answer:
Morgan can read [tex]\frac{3}{4}[/tex] of a page in 1 minute.
Step-by-step explanation:
If you divide 45 ÷ 60 you get 0.75 which is equal to [tex]\frac{3}{4}[/tex].
Morgan can read 0.75 pages in 1 minute.
What is division?Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.
To find out how many pages Morgan can read in 1 minute, we divide the total number of pages she read by the time it took her to read them. This gives us the average number of pages she read per minute.
In this case, Morgan read 45 pages in 60 minutes. So, we divide 45 pages by 60 minutes:
45 pages ÷ 60 minutes = 0.75 pages per minute
This means that on average, Morgan can read 0.75 pages in 1 minute.
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What is x = to? If you know it would be really helpful thanks
Answer:
x is 131°.
Step-by-step explanation:
Don't really know how to explain it. but I know that is what the measurement is.
I'm confused on how to find x
Answer:
x = 2
Step-by-step explanation:
Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be [tex]\sqrt2[/tex].
We can then solve for x using the Pythagorean theorem:
[tex]\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2[/tex]
Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be [tex]\sqrt2[/tex] times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.
Jennifer bought an umbrella on a business trip. The umbrella is 29 inches long.
The length of the sides of the box is 18 Inches.
The length of the top and bottom of the box is 24 Inches.
Jennifer thinks she can bring the umbrella home in her suitcase.
Is she correct?
Explain using your understanding of the Pythagorean Theorem to answer.
Use the dimensions provided in your explanation.
Answer:
Answer 30^{2}
Step-by-step explanation:
24^{2} + 18^ {2} = c^{2}
576 + 324 = c^{2}
\sqrt{900} c^{2} = 30
hope this helps!
how many students have used all three modes of transportation? solution please
Complete question is;
In a class of 40 students, 17 have ridden an airplane, 28 have ridden boat, 10 have ridden a train, 12 have ridden an airplane and a boat, 3 have ridden a train only, and 4 have ridden airplane only. Some students in the class have not ridden any of the three modes of transportation and an equal number have taken all three. How many students have used all three modes of transportation?
Answer:
4 students
Step-by-step explanation:
Let the number of students who used airplane be A
Let the number of students who used boat be B
Let the number of students who used train be C
Now, we are told that 17 rode plane.
Thus; A = 17
28 rode boat; B = 28
10 rode train; C = 10
12 rode airplane and boat; A ∩ B = 12
4 rode plane only; A' = 4
3 rode boat only; C' = 3
Total number of students; T = 40
Now, total number of students is represented by;
T = A - B - C - (A ∩ B) - (B ∩ C) - (C ∩ A) + (A ∩ B ∩ C)
We don't have (B ∩ C) and (C ∩ A).
Now, the can be derived from the expression of C' which is;
C' = C - (B ∩ C) - (C ∩ A)
C' = C - [(B ∩ C) + (C ∩ A)]
We are given C' = 3 and C = 10
Thus;
3 = 10 - [(B ∩ C) + (C ∩ A)]
10 - 3 = [(B ∩ C) + (C ∩ A)]
7 = [(B ∩ C) + (C ∩ A)]
Rearranging the total number of students equation, we now have;
T = A - B - C - (A ∩ B) - [(B ∩ C) + (C ∩ A)] + (A ∩ B ∩ C)
Where;
(A ∩ B ∩ C) is the number of students that used all three modes of transportation.
Thus, plugging in the relevant values;
40 = 17 + 28 + 10 - 12 - 7 + (A ∩ B ∩ C)
40 = 36 + (A ∩ B ∩ C)
(A ∩ B ∩ C) = 40 - 36
(A ∩ B ∩ C) = 4
Jenna must run a total of 12 miles on Monday.
Jenna ran 3 5/6 miles in morning and 4 1/12 miles in the afternoon.
How many miles does Jenna still need to run before the end of the day?
•1 9/12
•4 1/12
•7 11/12
•5 5/12
A baseball organization has 209 players. It wants to buy sweatshirts or jackets for players’ warmups.
Warm-up Type Price
Sweatshirt $38
Jacket $50
What is the difference in the total price of the sweatshirts and the jackets for all 209 players?
Enter your answer in the box.
Answer:
The answer is 2508
Step-by-step explanation:
Find the unit rate for each of the following tables
Answer:
First table's unit rate is -1.6
Second table's unit rate is 3.5
Step-by-step explanation:
First table:
[tex]\Delta y/\Delta x =(-16--8)/(10-5)= -8/5[/tex]
and this is constant for any pair of (x, y) values of the table.
So the unit rate is: -8/5 = -1.6
Second table:
[tex]\Delta y/\Delta x =(21-7)/(6-2)=14/4=7/2[/tex]
and the rate is constant for any pair of (x, y) values of the table.
So the unit rate is: 7/2 = 3.5
HELP PLSSS . Miley is purchasing several yards of fabric for a school project. If she spent $13.41 and the fabric was $2.98 per yard, how many yards did she purchase?
Answer:
4.5 yards of fabric.
Step-by-step explanation:
In order to find out how many yards she purchased, you need to divide the money she spent by the price of fabric per yard. Therefore, you divide
13.41/2.98=4.5
4.5 yards of fabric
a tourist information center charges $10 per hour to rent a bicycle
Answer:
10per the other side of alloys
Which of the following polynomial functions is graphed below?
A. f(x) = (x - 5)(x - 1)^2(x - 1)
B. f(x) = (x - 4)(x - 2)^2(x - 3)
C. f(x) = (x + 5)(x + 1)^2(x - 1)
D. f(x) = (x+4)(x-2)^2(x+3)
Answer:
correct answer is D
Step-by-step explanation:
just did it on apex
The polynomial functions is graphed below is f(x) = (x+4)(x-2)²(x+3).
What is a Polynomial Function ?A polynomial function is a function in an equation that contains only positive integer exponents or powers of a variable, such as the quadratic equation, cubic equation.
It is given that for the given graph plotted in the image , a correct polynomial function has to be determined .
When all the graphs are plotted for all the equations given in the options.
It can be seen that the equation in The Option D satisfies the image.
f(x) = (x+4)(x-2)²(x+3)
The image of the graph for the equation is attached.
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g 3. Suppose X and Y are independent, Binomial random variables, respectively, with parameters (n1, p) and (n2, p). Calculate the frequency function of X Y .
Answer and Explanation:
Solution:
Let x and y are independent, ariables.
The parameters of x and y are (n1, p) and (n2, p), respectively.
It means the sum of the independent binomial variable is itself a binomial random variable.
Consider probability of the event [ x = n1],
Denoted by: p(x=n1)
The function:
P(n1) = p(x = n1)
Over the possible value of x say, n1, n2, n3, …, is called frequency function.
The frequency function must satisfy.
∑I p (ni) = 1,
Where the sum is possible values of x.
Similarly,
Consider probability of the event [ y = n2],
Denoted by: p(y=n2)
The function:
P (n2) = p(y = n2)
Over the possible value of y say, n1, n2, n3, …, is called frequency function.
The frequency function completely describes the probabilistic nature of the random variable.
Solve the following equation algebraically. Show your work.
6=x+23
Answer: 23+x=6
-23 -23
1x/1 -17/1
x=-17
Step-by-step explanation:
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-6*x-(23)=0
Step by step explanation :
Pulling out like terms
Pull out like factors :
-6x - 23 = -1 • (6x + 23)
Solving a Single Variable Equation:
2.1 Solve : -6x-23 = 0
Add 23 to both sides of the equation :
-6x = 23
Multiply both sides of the equation by (-1) : 6x = -23
Divide both sides of the equation by 6:
x = -23/6 = -3.833
Therfor the answer is : x = -23/6 = -3.833
Match the functions f(x, y, z) with the description of their gradients. No reasons needed.
(a) x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(b) x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(c) 1/x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(d) 1/x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
Answer:
1. C points radially outward from origin
2. A. Points radially outward from z origin
3. D. Radially inwards toward origin
4. B. Inwards towards the z axis
Step-by-step explanation:
1.
X²+y²+z² = f(x,y,z)
Vector P<x,y,z>
2<x,y,z> = 2p
The answer is c points radially outward from origin
2.
X²+y² = f(x,y)
<2x,2y,0>
Points radially outward from z axis
3.
D. Points radially inwards toward origin
4.
B. Points radially inwards toward the z axis.
Please check attachment for solutions to answers 3 and 4
Answer options:
A:y=-2x+160
B:y=-40x+160
C:y=2x+160
D:y=40x+160
PLEASE I NEED HELP ASAP!
Answer:
B:y=-40x+160. hello, just typing to take up space
Jessica and Monte sell bananas at a produce stand. Jessica earns $4 for each crate of bananas she sells. At the end of the week, Monte has earned $15 less than Jessica. The following expression shows Monte's earnings:
4y − 15
In the expression, what does the first term represent?
Jessica's earnings at the end of the week
The number of crates of bananas Jessica sold
Monte's earnings at the end of the week
The number of crates of bananas Monte sold
Answer:
Jessica's Earning's at the end of the week
Step-by-step explanation:
If Jessica earns $4 for every crate she sells that means the first term would be what Jessica earned at the end of the week minus $15 because Monte made $15 dollars less then Jessica.
In the expression the first term represents "The number of crates of bananas Monte sold". So option D is correct.
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be subtraction, multiplication, addition, division.
For example, 2x+3
The expression given for Monte's earnings is 4y - 15.
In this expression, the first term is 4y.
This term represents the amount of money Monte earns per crate of bananas he sells.
Therefore, the first term represents the rate of pay for Monte's earnings, which is $4 per crate.
So, the answer is: The first term represents the amount of money Monte earns per crate of bananas he sells.
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11. Factor for
12 – 8.1 + 16
Answer:
2(6-4.05+8)
Step-by-step explanation:
2(6-48+43.05+8)
Determine wheather the given lines are parallel or not. Write the reasons .
Answer:
yes it is parallel because the alternate interior angles are equal
Determine whether each equation is true or false.
-5/-1 = 5
(0/-4) = 0
-3/1 = -3
- 8/0 = 0
Step-by-step explanation:
1.False
2.True
3.True
4.False
If 24 divided by 4 is 6 what is the remainder?
The remainder from the given division is 0.
Given that, 24 divided by 4 is 6.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here,
4|24|6
24
______
0
So, the remainder is 0.
Therefore, the remainder from the given division is 0.
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please help .. i have toxic parents and they yell at me ... and i already have like 6 missing assignemnts soo can someone please answer these questions .
In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?
2. Allison threw a baseball that traveled 145 feet in 2 ½ seconds. What was the average speed of the ball in feet per second?
3. Erica runs 4 ½ meters per second. At this speed, how many meters can she run in 45 seconds?
4. Roland’s remote control boat has a max speed of 25 miles per hour. How many miles can Roland’s boat travel in 1/3 of an hour?
5. Anna can walk 10 miles in 4 hours. At this rate, how many minutes does it take her to walk one mile
Answer:
1. 0.625 inch
2. 58 feet per second
3. 202.5 meters
4. 8.333 miles
5. 0.4 hour or 24 minutes
Step-by-step explanation:
^^^
Answer:
In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this? (.625 inches)
2. Allison threw a baseball that traveled 145 feet in 2 ½ seconds. What was the average speed of the ball in feet per second? (58 feet)
3. Erica runs 4 ½ meters per second. At this speed, how many meters can she run in 45 seconds? (202.5 meters)
4. Roland’s remote control boat has a max speed of 25 miles per hour. How many miles can Roland’s boat travel in 1/3 of an hour? (8.3 miles)
5. Anna can walk 10 miles in 4 hours. At this rate, how many minutes does it take her to walk one mile? (.0416)
Step-by-step explanation:
For #1.) 15 divided by 24 which equals 0.625
For #2.) divide 145 by 2.5
For #3.) time 4.5 by 45
For #4.) divide 25 by 3
For #5.) divide 10 by 4 then 2.5 by 60 to get .0416
Factorise fully
48 + 6x
please do quick it's due In 2 min
Answer:
6(8+x)
Step-by-step explanation:
Notice that the constant and the coefficient have a greatest common factor of 6. Therefore, we can just factor the 6 out to get 6(8+x).
Answer:
6(x+8)Step-by-step explanation:
[tex]48 + 6x\\\\\mathrm{Rewrite\:}48\mathrm{\:as\:}6\times\:8\\\\=6x+6\times\:8\\\\\mathrm{Factor\:out\:common\:term\:}6\\\\=6\left(x+8\right)[/tex]
Challenge 1
A: Can you find the
area of the shape?
B:Can you find the
perimeter of the shape?
Answer:
A.can you find the area of shape.