Given:
The given values are 4, 8, 12, 13.
To find:
The mean for this list of numbers.
Solution:
We know that,
[tex]\text{Mean}=\dfrac{\text{sum of observations}}{\text{Number of observations}}[/tex]
The number of observations = 4. So,
[tex]\text{Mean}=\dfrac{4+8+12+13}{4}[/tex]
[tex]\text{Mean}=\dfrac{37}{4}[/tex]
[tex]\text{Mean}=9.25[/tex]
Therefore, the mean for the given list of numbers is 9.25.
A bicycle path starts 5 miles due east of an intersection, and continues in a straight line to finish 8 miles due north of the same intersection. Let the intersection be represented by the point (0, 0). Suppose a cyclist rides the path from start to finish in 2 hours. Which parametric equations model the path of the rider?
The parametric equations that models the path of the rider are:
x(t) = -5/2t + 5 and y (t)= 4tx(t) = -5/2t + 5 and y(t) = 4t + 8What is a Parametric Equation?This refers to the type of equation that makes use of a parameter to define dependent variables.
Hence, we can see that to model the path of the rider, the parametric equation that can be best used is to model the direction of the bicycle which is moving 5 miles east and then continues 8 miles north, and the fact that they started at rest 0 and the equations to make the model are:
x(t) = -5/2t + 5 and y (t)= 4tx(t) = -5/2t + 5 and y(t) = 4t + 8
Read more about parametric equations here:
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NEED ASAP !! HELP PLEASE 10 PTS
Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
simplify 18x8/6/4x
HELP
Answer:
6/x.
Step-by-step explanation:
18x8/6/4x
= 144/6/4x
= 24/4x
= 6/x.
a number such that triple it is one sixth of its square
Answer:
x=18
Step-by-step explanation:
i simplified the answer down to x*18=x^2
hope this helps!
please mark me as brainliest. thanks!
Which number has the lowest value?
A1/6 x 1/3B1/6 x 1/2C1/7 x 1/3D1/4 x 1/6
Answer:
b
Step-by-step explanation:
a=0.555555556
b=0.083333
c=.4176
Find the value of x, if the mean of 17, 22, 18, 21 and x is 20
Answer:
X=22Step-by-step explanation:
This may be confusing but bear with me
20=(x+17+22+18+21)/5 is our equation because
20 is our mean and we are adding all of our values and diving by how many values we have. we have 5 values
we multiply 5 by 20 to cancel the dividing 5 on the right so
100=x+17+22+18+21
To make this simpler we can add all of the values (except x) so
100=x+78
lets subtract 78 from 100
22=x or x=22
I hope this helped
65 POINTS PLS help
Which sentence best conveys the argument in "The Case for Shelter Animals"?
Animal shelters treat animals in their care poorly.
People should rescue animals from pet stores.
Pet stores sell puppy mill animals that are not well-cared for.
Animals shelter pets become beloved family members.
Answer:
People should rescue animals from pet stores.
Step-by-step explanation:
An argument is a series of propositions that is organized in such a way that the final proposition appears to be a conclusion which is intended to obey the logical concept of the prior propositions that function as the premise. From "The Case for Shelter Animals", the sentence that best conveys the argument tells us that People should rescue animals from pet stores.
Answer:
b
Step-by-step explanation:
HELLLLLP I AM RUNNIG OUT OF TIMEEEEEE
I WILL MARK YOU BRILLLLLLLL
Answer:
A. 8
Step-by-step explanation:
16+y=24
16+8=24
Therfore the answer is A
Jazmin has increased her $45 by m dollars and then spends a third of the entire amout.
Graph: f(x) = 3/2 (2)^x Calculate the initial value of the function.
Answer:
3/2
Step-by-step explanation:
f(0) = 3/2 · 2^0
anything raised to the power of zero equals one
f(0) = 3/2 · 1
Express each of the following in km/h.
(a) 8.4 km/min (b) 315 m/s
(c) 242 m/min (d) 125 cm/s
Answer:
Step-by-step explanation:
please help me asap!!!
Answer:
6
Step-by-step explanation:
Which is greater -2 or -2/3
Answer:
-2/3
Step-by-step explanation:
-2/3 is greater because it is closer to 0/positive than -2.
Each cube in this figure is a -millimeter cube. What is the total volume of the prism?
2 mm 3
6 mm 3
4 mm 3
9 mm 3
Answer:
D. 9 mm³Step-by-step explanation:
Given
Dimension of the prism: 3x4x6Side of each small cube: 1/2 mmVolume of the prism in terms of the number of small cubes:
3*4*6 = 72Volume of each unit cube:
V = (1/2)³ = 1/8 mm³Volume of the prism:
72*1/8 = 9 mm³Correct choice is D
Answer:
D. 9 mm³
Step-by-step explanation:
Dimension of the prism
= 3 * 4* 6
side of each small cube
= 1/2 mm
In terms of number of small cubes , volume of the prism = 3 *4 * 6= 72
Volume of each unit of cube
= (1/2)³
= 1/ 8 mm³
Volume of the prism
= 72 * 1/8
= 9 mm³
Michael has $1,036 78 in his checking account. He is going to spend $495.38 on a new television, and he will spend the rest on
speakers that cost $48.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael
can buy without spending more money than he has in his account?
[tex]4859 \div 23[/tex]
pls help me asap
Step-by-step explanation:
211 R6
_____
step 1. 23 / 4859
46
25
23
29
23
6. -> R6
step 2. answer: 211 R6 or 211 6/23.
double y, then raise the result to the 10th power
Answer:
2y^10
Step-by-step explanation:
If you are doubling "y" you are multiplying it by 2 so it is 2y
If you are raising 2y to the 10th power it will be 2y^10
Answer:
2y^10 or 2y¹⁰
Step-by-step explanation:
2a+3b=5? What is that someone please help ASAP !!
Answer:
subtract 2a + 3b - 3b =5 - 3b
simply 2a = 5 -3b
divide both sides by 2 . 2a over 2 = 5 over 2 - 3b over 2
simply a= 5- 3b over 2
evaluate 2 to the 6th power
Answer: 64
Step-by-step explanation:
2 x 2 x 2 x 2 x 2 x 2 =64
Answer:
64
Step-by-step explanation:
2^6=2*2*2*2*2*2=4*4*4=16*4=64
Use the figure below to find the value of x show all work
Answer:
Step-by-step explanation:
Add 53 and 35 because 53 and x are alt exterior angles. That means that they are equal/ congruent. You can translate the angle where the 35 is down to x because they are equal.
So:
53+35= 88 degrees
x=88
Mental health in America. In the Mental Health Surveillance Study, clinicians interviewed a very large random sample of American adults so as to diagnose the presence of mental disorders in the prior 12 months. There are many types of mental disorders, and a person can suffer from more than one. Let X represent the number of mental disorders a person has experienced in the past year. Based on this study, we can assign the following probability distribution to X in the American adult population:
X 0 1 2 3 4 or more
P(X) 0.775 0.149 0.041 0.022 0.013
(a) Explain why this is a valid probability distribution. Is the sample space discrete orcontinuous?
(b) Find P(X <2) and P(1≤X≤3).
(c) Obtain the probability that a randomly selected American adult suffers from
(i) at least one mental disorder
(ii) either one or two mental disorders
Answer:
a) It is a valid distribution because the sum of all possible probabilities is 1. The sample space is discrete, because the number of diseases is a countable number.
b) P(X <2) = 0.924, P(1≤X≤3) = 0.212
c - i) 0.225
c - ii) 0.19
Step-by-step explanation:
(a) Explain why this is a valid probability distribution. Is the sample space discrete or continuous?
0.775 + 0.149 + 0.041 + 0.022 + 0.013 = 1
Since the sum of all possible probabilities is 1, this is a valid probability distribution.
Since the possible outcomes are 0, 1, 2, 3 or 4 diseases, that is, countable numbers, the sample space is discrete.
(b) Find P(X <2) and P(1≤X≤3).
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.775 + 0.149 = 0.924[/tex]
[tex]P(1 \geq X \geq 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.149 + 0.041 + 0.022 = 0.212[/tex]
(c) Obtain the probability that a randomly selected American adult suffers from
(i) at least one mental disorder
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.775 = 0.225[/tex]
(ii) either one or two mental disorders
[tex]P(X = 1) + P(X = 2) = 0.149 + 0.041 = 0.19[/tex]
...What is, -7=z/2+1
Answer:
z=-16
Step-by-step explanation:
-7 = (z/2) + 1 Original equation
-7-1 = (z/2) Combining like terms
-8 = z/2 Simplification
-8 × 2 = (z/2) × 2 Isolating the variable
-16 = z The answer
Check your answer
-7 = (-16/2) + 1 Substitution
-7= -8 + 1 Simplify
-7 = -7 Your answer is right
Hope this helped!!!
Which descriptions are true for all isosceles triangles? Select each correct answer. At least two equal sides No equal sides One pair of equal angles Exactly one acute angle Exactly one obtuse angle
Answer:
1) At least two equal sides
2) One pair of equal angles
HURRY PLZ I WILL MARK BRAINLIEST
Which point is located in Quadrant II?
A coordinate plane.
(–4, 5)
(–4, –5)
(4, –5)
(4, 5)
(-4,5)
Step-by-step explanation:
I took this math a bit ago, just trust me
Answer:
A
Step-by-step explanation:
please help me!!!! precalc question
Step-by-step explanation:
1. Ampltiude is 1
The period is
[tex] \frac{2\pi}{3} [/tex]
is the period
The phase shift is 0
2. The Ampltiude is 2
The period is 2 pi
The phase shift is 1
3. The amplitude is 3
The period is 2 pi/3
The phase shift is -2
4.The amplitude is 2/3
The period is -10pi
The phase shift is 0
5. The Ampltiude is 1
The period is -2 pi
The phase shift is pi
6. The amplitude is 1/4
The period is -4pi
The phase shift is negative 2pi/3
7. The Ampltiude is 3
The period is 4
The phase shift is 8
In your backpack there are three math books, two science books, and five notebooks. If you reach into your backpack and select a math book, and then reach in and select a notebook, are these independent events? Explain.
Answer:
No, because grabbing the math book changed the odds of grabbing the notebook.
These are not independent events as you didn't replace the first book so that changed the probability that you would draw a notebook second , Option C is the answer.
What is Probability ?Probability is the likeliness of an event to happen.
It is given that there are three math books, two science books, and five notebooks.
Total number of books = 3 + 2 + 5 = 10
The probability of drawing a mathbook is 3 / 10 = 0.3
and then if the mathbook is not replaced then the total outcomes for drawing a notebook changes.
Therefore they are not independent events and Option C is the answer.
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PLEASE help
evaluate the expression to find the missing values in the table
Answer:
The first '?' is 14, the second '?' is 17
Step-by-step explanation:
1.
x + 7 = ?, x = 7
7 + 7 = 14
2.
x + 7 = ?, x = 10
10 + 7 = 17
What is the median of 30,33,38,40,51,57,81,91?
Answer:[tex]{ \left[\begin{array}{ccc}45.5\\\\\end{array}\right] }{}\\\\\end{array}\right] } ----[/tex]
Step-by-step explanation: Hey, Basically we are going to arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Hope this helps!
2+2 is what broooooooooooooooooooooooooooooooooooooooooooooooooooo
Answer:
It's 4
Step-by-step explanation:
WOW ♀️♀️♂️♂️THAT WAS SO HARD
Answer:
why would you ask such a stu pid question bro, its obviously 22
Step-by-step explanation: