The first option is the correct one, that is the valid probability distribution.
Which of the options is a valid probability distribution?For any probability distribution we have two main rules.
The probabilities must be positive.The sum of all the probabilities must be 1.So, with the second rule we can see which one of the tables is a valid distribution, we will see that for table A the sum is:
Sum(A)= 1
And for the other two:
Sum(B) = 1.08
Sum(C) = 0.9
So we can see that the only valid probability distribution is the one in the first option.
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Select the correct answer.
Melissa and Robbie are flying remote control gliders.
The altitude of Melissa's glider, h(s), in feet, is modeled by this function, where sis time, in seconds, after launch.
mis) = 0.4(33 - 11s2 + 31s – 1)
The altitude of Robbie's glider is modeled by function r, where sis time, in seconds, after launch.
r(s)
Altitude (feet)
25-
20-
15-
10-
s
0
Time (seconds)
Which glider reaches the greater maximum altitude in the first 6 seconds after launch?
O A. Melissa's glider
ОВ.
C.
Robbie's glider
Both gliders reach the same altitude on the given interval.
Neither glider reaches a maximum altitude on the given interval.
OD
Answer:
Robbie's glider
Step-by-step explanation:
Robbie reaches the greater maximum altitude in the first 6 seconds after launch option (C) Robbie's glider is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
Melissa and Robbie are flying remote control gliders.
The altitude of Melissa's glider, h(s), in feet, is modeled by this function:
m(s) = 0.4(s³ - 11s² + 31s - 1)
Plug s = 6 seconds in the function m(s)
m(6) = 0.4(6³ - 11(6)² + 31(6) - 1)
m(6) = 0.4(216 - 396 + 186 - 1)
m(6) = 0.4(5)
m(6) = 2 feet
From the graph of Robbie:
At s = 6 seconds
Altitude = 13 feet (approximately)
Thus, Robbie reaches the greater maximum altitude in the first 6 seconds after launch option (C) Robbie's glider is correct.
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I NEED HELP ASAP PLEASE AND THANKS
A sculpture is in the shape of a cylinder. The sculpture has a diameter of 10 feet and a height of 21 feet. Which measurement is closest to the total surface area of the sculpture in square feet?
Answer:did u get the answer?
Step-by-step explanation:sorry
The measurement of total surface area of the sculpture in square feet is 814 square feet.
What is the surface area of a cylinder?The surface area of a cylinder can be calculated by adding the area of its lateral surface to the sum of the areas of its two circular ends. The formula for lateral surface area is given by: 2πrh
where r is the radius of the circular base and h is the height of the cylinder.
Since the diameter of the cylinder is 10 feet, the radius is 10/2 = 5 feet.
So, the lateral surface area of the cylinder = 2 × π × 5 × 21 = 210π square feet.
The area of each circular end is given by πr². Since the radius is 5 feet, the area of each circular end is π × 5² = 25π square feet.
Therefore, the total surface area of the cylinder is 210π + 2 × 25π = 260π square feet.
The value of π is approximately 3.14, so the surface area of the cylinder is approximately 260 × 3.14 = 816.4 square feet.
So, the closest measurement of the total surface area of the sculpture in square feet is 816 square feet.
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Hiiioo! Hope everyone is having a good day! Can someone please help with this!❤️❤️❤️❤️:D
Answer:
AA
Step-by-step explanation:
I'd appreciate the right answer
Answer:
No.
If y is greater than 3, it is not a solution to the system of inequalities. (7,5) has a y value of 5, therefore it is is not a solution.
can the sides of a triangle have lengths 3, 4, and 7?
Answer:
The length of the third side of a triangle must always be between (but not equal to) the sum and the difference of the other two sides. ... Therefore, the third side length must be greater than 4 and less than 8. Because 7 is greater than 4 and less than 8, it is possible for these to be the side lengths of a triangle.
Step-by-step explanation:
The sides of length 3, 4 and 7 does not form triangle.
What is a triangle?Three edges, three angles, and three vertices are the characteristics of a triangle in geometry. In geometry, it is a basic figure.
The sum of the angles of a triangle is always 180°
Given that,
Sides of a triangle are 3, 4 and 7.
Since, the one side of a triangle is greater than the difference of other two sides and less than sum of the two sides.
Implies that,
If side 3 is taken, then 3 should greater than difference of 7 and 4, also less than sum of 7 and 4.
Implies that,
7 - 4 < 3 < 7 + 4
3 < 3 < 11
Here, the condition does not satisfy. Therefore, The given lengths do not make triangle.
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Ellie has 30 total toys and she divides them in 5 rows. How many toys did she divide into 5 rows to make it a total to 30?
sorry if it doesn't sound right.
Answer: 6
Step-by-step explanation:
30 divided by 5 is 6
Answer
6
Step-by-step explanation:
im pretty sure 6 because 30/5 gets you 6
find the sum of the infinite series.
11, 44, 176, 704, ...
a. infinity
b. 231
c. 3751
d. 935
CAN SOMEBODY TELL ME IF MY ALGEBRAIC EXPRESSION I WROTE DOWN IS CORRECT I REALLY DONT WANT TO GET THIS QUESTION WRONG IS THAT THE ANSWER OR 10 x w??? PPEASE HELP ASAP ILL MARK YOU BRAINLIST IF U HELP
Answer:
The correct answer is 2 ( 5 × w )
Explanation:
Area of a rectangle = length × width
The length = 5 feet
The width = w feet
So the area = 5 × w
Then, he has to double the length and width, so its 2 times the length and width. So the new expression will be:
Area = 2 ( 5 × w )
How to simplify 3+i/3-i
Answer:
To subtract two complex numbers, subtract the real part from the real part and the imaginary part from the imaginary part. To multiply two complex numbers, use the FOIL method and combine like terms . To divide two complex numbers, multiply the numerator and denominator by the complex conjugate , expand and simplify.
Step-by-step explanation:
what is 4 and 3/4 minus 1/3
Answer:
4.41666666667
Step-by-step explanation:
A salesman earns 20% commission on all the merchandise that he sells. Last month he sold $900 worth of merchandise. How much commission (in dollars) did he earn last month?
Answer: $180
Step-by-step explanation:
Given
Salesman earns 20% commission on merchandise he sells
Last month sales by him are $900
So, his commission out of $900
[tex]\Rightarrow 20\%\ \text{of}\ 900=0.2\times 900\\\Rightarrow \$180[/tex]
So, he grabbed $180 dollar as commissions
The number 74 can be factored as 2(37), so 74 is said to have two distinct prime factors. How many distinct prime factors does 210 have?
9514 1404 393
Answer:
4
Step-by-step explanation:
210 = 2·3·5·7
There are 4 distinct prime factors.
A farmer delivers 24 cartons of milk to a grocery store in a plastic crate. The dimensions of the crate measure 12.1 in. by 12.1 in. by 12.1 in.
PLEASE HELP I REALLY NEED THIS ANSWER PLEASE
Answer:
i dunoo
Step-by-step explanation:
16y2 – 25
help me i hate this school
Answer:
(4y)2 - (5)2 which is in the form a2 - b2
= (4y + 5) (4y - 5)
Step-by-step explanation:
solve for b: a = 2 (b-c)
Answer:
b=c+1/2a
Step-by-step explanation:
hope this helps :)
Answer:
b=1/2a+c
Step-by-step explanation:
Question 1: In Math mean means..
A. average
B. divide
C. GCF
D. LCM
Eliza writes a number
- the number is between 20 and 30
-it has exactly 4 factors
-one of the factors is 7
what is Eliza’s number?
Answer:
the answer is 21
Step-by-step explanation:
if one of the factors is 7 and it's between 20 and 30
then it can be 21 or 28
7×3=21 and 7×4=28
now the factors of 21: 1, 3, 7, 21 (4 factors)
the factors of 28: 1, 2, 4, 7, 14, 28 (6 factors)
therfore 21 is the correct answer
What is the area of triangle FGH? Round your answer to the nearest tenth of a square centimeter.
*answer fast******
Answer:
Step-by-step explanation:
Factor completely.
25+70x+49x^2=
Answer:
(7x+5)(7x+5)
Step-by-step explanation:
Factor 25+70x+49x2
49x2+70x+25
=(7x+5)(7x+5)
Answer:
(7x+5)(7x+5)
Hope this helps!
Determine whether the quadratic function show below has a minimum or maximum then determine the minimum or maximum value of the function
f(x) = 3x^2 - 18x + 29
Answer:
The quadratic has a minimum value.
The minimum value is at (3, 2).
Step-by-step explanation:
We are given the quadratic function:
[tex]f(x)=3x^2-18x+29[/tex]
First, since the leading coefficient is positive, this quadratic function will be concave up.
Hence, we will have a minimum value.
The minimum or maximum value is the vertex of the quadratic. The vertex is given by:
[tex]\displaystyle \Big(-\frac{b}{2a},f\Big(-\frac{b}{2a}\Big)\Big)[/tex]
In this case, a = 3, b = -18, and c = 29. Thus, the x-coordinate of the vertex is:
[tex]\displaystyle x=-\frac{-18}{2(3)}=\frac{18}{6}=3[/tex]
And the minimum value is:
[tex]f(3)=3(3)^2-18(3)+29=2[/tex]
1
Which system of linear equations represents the lines graphed below?
Answer:
B
Step-by-step explanation:
I took the test and got it right
Answer:
Option D is the correct answer.
Step-by-step explanation:
Both the lines are intersecting each other at point (-6, 4)
So, x = - 6 & y = 4
Let us plug x = - 6 in the equation [tex] y =-\frac{1}{3} x + 2[/tex]
We find that:
[tex] y =-\frac{1}{3} (-6) + 2[/tex]
[tex] y =-(-2) + 2[/tex]
[tex] y = 2 + 2[/tex]
[tex] y = 4[/tex]
So, when x = - 6, the value of y is 4.
Since, second equation of option D is invisible, hence I can't provide any explanation for the same.
A coach buys a uniform and a basketball for each of the 12 players on the team. Each basketball costs $8. The coach spends a total of $288 for uniforms and basketballs.
Enter the cost, in dollars, of 1 uniform.
16
Step-by-step explanation:
if you multiply 12 by 8 you get 96 so then you would subtract 96 from 288 and get how much he would spend on all of them then i think you would need to divide 192 from 12 and get 16.so i think the answer is 16 correct me if im wrong
14 less than a number
Answer:
what do u mean 14 less than a number 14 is less than the numbers higher then it examples 15, 20, 300, 1567, ect
please help:( im tryna gts
Answer:
location
Step-by-step explanation:
"A translation is a geometric transformation that moves every point of a figure or space by the same distance in a given direction."
Hope this helps! :)
Which is an x-intercept of the graph of the function y=cot(3x)?
Answer:
(pi/2,0)
Step-by-step explanation:
cual es el resultado al realizar la siguiente operacion 4/9*2/5*3 2/4?
Answer:
0.62222222222
Step-by-step explanation:
Rubén preguntó a Iván por su edad, y este le contestó: si al triple de los años que tendré dentro de cuatro años le quitas el cuádruple de los que tenía hace 4 años, tendrás los años que tengo ahora más cuatro. ¿Qué edad tiene Iván?
Answer:
Ivan tiene 18
Solve for x. Assume that lines are diameters?
Answer:
I think x is 12.
the big half is 136
and the small half is 90
3/4 times 2 in a simplified fraction?
Answer:
1 1/2
Step-by-step explanation:
multiply right across
[tex] \frac{3}{4} \times \frac{2}{1} = \frac{6}{4 } \div \frac{2}{2} = \frac{3}{2} = 1 \frac{1}{2} [/tex]
Simplified form of fraction is,
⇒ 3 / 2
We have to given that;
Expression to solve is,
⇒ 3/4 times 2
Now, We can simplify as;
⇒ 3 /4 times 2
⇒ 3/4 x 2
⇒ 3 / 2
Thus, Simplified form of fraction is,
⇒ 3 / 2
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