Answers
Answer:
Speed = 100/Time
Step-by-step explanation:
(a). Speed is a function of time : As seen from equation (1) Speed of the students varies according to the value of time. So, This a true statement.
(b). Time is a function of distance : Distance is not varying in the equation (1), it is fixed to be 100. So, time is not a function of distance because here the distance is made constant. So, This is false statement.
(c). Speed is a function of number of students racing : Speed is not depending on the number of students racing so sped is independent of the number of the students racing. Therefore, Speed is not a function of number of students racing. This is False statement.
(d). Time is a function of speed : As seen from equation (1) Time of the students varies according to the value of their speed. So, This a true statement.
Hence, the true statements are (a) and (d)
Related Questions
I can't remember for the life of me what these are
Answers
Answer:
same
Step-by-step explanation:
It was found that 61 percent of the tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing. 33 percent visited Xi'an with its magnificent terracotta soldiers, horses, and chariots, which lay buried for over 2000 years. 18 percent of the tourists went to both Beijing and Xi'an. What is the probability that a tourist visited at least one of these places
Answers
Answer:
0.76 = 76% probability that a tourist visited at least one of these places
Step-by-step explanation:
I am going to solve this question using the probabilities as Venn sets.
We have that:
Event A: Tourist visited Beinjing.
Event B: Tourist visited Xi'an.
61 percent of the tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing.
This means that [tex]P(A) = 0.61[/tex]
33 percent visited Xi'an with its magnificent terracotta soldiers, horses, and chariots, which lay buried for over 2000 years.
This means that [tex]P(B) = 0.33[/tex]
18 percent of the tourists went to both Beijing and Xi'an.
This means that [tex]P(A \cap B) = 0.18[/tex]
What is the probability that a tourist visited at least one of these places?
This is
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
We already found these values. So
[tex]P(A \cup B) = 0.61 + 0.33 - 0.18 = 0.76[/tex]
0.76 = 76% probability that a tourist visited at least one of these places
cereal A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 20 boxes of the
sold and in the
were sold. In the next week, 53 boxes of the cereal were sc
third week 86 boxes of the cereal were sold. The number of
boxes of cereal sold each week represents an arithmetic sequence.
cereal sold in week n? What is the explicit rule for the arithmetic sequence that defines the number of boxes of
Answers
Answer:
33n - 13
Step-by-step explanation:
20, 53, 86?
That's an arithmetic sequence with the common term being 33.
The explicit formula? 33n - 13. :)
HELP ME PLZZZZZZZZZZZZZZ
Answers
Given:
The quadratic equation is
[tex]y=3x^2-18x+15[/tex]
To find:
The x-coordinate and y-coordinate of the vertex.
Solution:
If a quadratic function is defined by [tex]f(x)=ax^2+bx+c[/tex], then the vertex is defined as:
[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
If [tex]a<0[/tex], then the function has a maximum at the vertex and ff [tex]a>0[/tex], then the function has a minimum at the vertex.
We have,
[tex]y=3x^2-18x+15[/tex]
Here, [tex]a=3,b=-18,c=15[/tex].
Since [tex]a=3>0[/tex], therefore the function has a minimum at the vertex. So, fill min in first blank.
Now,
[tex]\dfrac{-b}{2a}=\dfrac{-(-18)}{2(3)}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{18}{6}[/tex]
[tex]\dfrac{-b}{2a}=3[/tex]
Putting x=3 in the given function, we get
[tex]y=3(3)^2-18(3)+15[/tex]
[tex]y=27-54+15[/tex]
[tex]y=-12[/tex]
Therefore, the vertex is at point (3,-12).
Plzzz help me I am timed plzzz!
Answers
Answer:
3 is the common denominator
Answer:
21
Step-by-step explanation:
7, 14, 21
3, 6, 9, 12, 15, 18, 21
Determine whether or not the given procedure results in a binomial distribution. If not, identify which condition is not met. Spinning an American roulette wheel 7979 times and recording the number of times the ball lands on an even number.
Answers
Answer:
The procedure does results in a binomial distribution.
Step-by-step explanation:
For a binomial probability distribution to be applicable, certain conditions have to be met which are :
There must be a fixed number of observations ; here the number of observations are : 79
All observations must be independent ; the observations are independent ; odd or even
Observations must fall into one of two categories : success category or failure. Here, observations can be odd or even
The probability of success must be equally likely for each observation.
Hence, the procedure results in a binomial probability distribution.
what is 37 feet into yards and feet
Answers
Answer:
12 yards and 1 foot
Step-by-step explanation:
c.
The sum of two consecutive integers is -135. Find the numbers.
Answers
Answer:
Step-by-step explanation:
If you typed what you wanted then
a+a+1=-135
2a+1=-135
2a=-136
a=-68, so the integers are
-68 and -67
PLEASE HELP
(7th grade math) The decimals chart in this lesson shows that we line up
the decimal points when we add or subtract decimal
numbers. Why do we do that?
Answers
Answer:
so that when we subtract we are subtracting from the corresponding decimal places
Step-by-step explanation:
Use the elimination method by subtraction to solve for x and then y.
Equation 1 > 2x - 7y = -74
Equation 2 > 3x - 7y = -83
Solve for x and y.
Please and thank you!
Answers
Answer:
Step-by-step explanation:
Both equations have -7y. You can eliminate them by subtracting one equation from the other:
Multiply equation 1 by -1, then add it to equation 2:
-2x + 7y = 74
3x - 7y = -83
———————
x = -9
2x - 7y = -74
2(-9) - 7y = -74
-7y = -56
Y = 8
(x,y) = (-9, 8)
Which function models the relationship shown by the line?
A
y = -3.3 + 2
B
y
= 12 + 2
с
y= -3x + 6
D
y=-3x + 6
Answers
find the surface of the rectangular prism
Answers
Answer:
The surface of the rectangular prism is 42
l × w × h
The length is 3 width is 2 and the height is 3.
Hope this helps have an awesome day❤
Land's Bend sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 11 sales receipts for mail-order sales results in a mean sale amount of $79.00 with a standard deviation of $18.25. A random sample of 18 sales receipts for internet sales results in a mean sale amount of $96.70 with a standard deviation of $20.25. Using this data, find the 98% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed.
Answers
Answer:
−35.713332 ; 0.313332
Step-by-step explanation:
Given that:
Sample size, n1 = 11
Sample mean, x1 = 79
Standard deviation, s1 = 18.25
Sample size, n2 = 18
Sample mean, x2 = 96.70
Standard deviation, s2 = 20.25
df = n1 + n2 - 2 ; 11 + 18 - 2 = 27
Tcritical = T0.01, 27 = 2.473
S = sqrt[(s1²/n1) + (s2²/n2)]
S = sqrt[(18.25^2 / 11) + (20.25^2 / 18)]
S = 7.284
(μ1 - μ2) = (x1 - x2) ± Tcritical * S
(μ1 - μ2) = (79 - 96.70) ± 2.473*7.284
(μ1 - μ2) = - 17.7 ± 18.013332
-17.7 - 18.013332 ; - 17.7 + 18.013332
−35.713332 ; 0.313332
Harvey the wonder hamster can run 3 1/6km in 1/4 hour. Harvey runs at a constant rate
Find his average speed in kilometers per hour
Answers
Answer:
his average speed is 12 2/3 kilometers per hour.
Step-by-step explanation:
3. (2 marks) A real estate agent has 8 keycards to open new model homes. Only one keycard will open any specific model home. If 40% of these homes are usually left unlocked, what is the probability that the real estate agent can get into a specific home if the agent chooses 3 keycards at random before leaving the office
Answers
Answer:
0.625
Step-by-step explanation:
We are told that the agent has 8 keycards.
We are also told that only one of the keycards can open each home.
Now, if the agent took 3 out of the 8 keycards with him, it means that;
Probability of opening by the keycards = ⅜
We are told that 40% or 0.4 of these homes were left unlocked.
This means that 60% or 0.6 are those that will require a key card.
Thus, probability of agent getting into a specific home is;
P(agent getting into a specific home) = 0.4 + 0.6(⅜)
P(agent getting into a specific home) = 0.4 + 0.6(0.375) = 0.625
Hello ! Help pls! It needs to be 9 answers
Answers
answers in order of the maze:
41, 47, 48, 40, 46, 53, 47, 35, 49 (finish)
plz help 20 points if you get it right and I will give you brainliest
Answers
Answer:
The first one cannot be simplified
reason: usually when simplifying an expression you combine like terms but in the given expression there are no like terms
An example of like terms would be 6a and 9a
Essentially what i am saying is that the variables have to be the same in order for them to be combined
The second one is 36r
This is the answer because they tried to combine like terms that aren't similar
r and f are not the same variable therefore they cannot be combined
Hope this helps :)
2. Last choice - 36fr
find the value of two numbers if their sum is -5 and their difference is 11
Larger Number:______
Smaller Number:______
Answers
Answer:
-16 and 6
Step-by-step explanation:
If you went back on a graph from 5 eleven times you would get -16 and if you went forward on a graph you would land on 6. Gl human
Find friends went to a baseball game three of the friends each bought a ticket for X dollars and a soda for eight dollars the other two friends each bought only tickets right and simplify an expression that represents the amount of money spent
Answers
If other two friends bought tickets for y dollars,different amount than x, than: 3x+3•8+2y=3x+24+2y=3x+2y+24
Jamal is making a snack mix that contains only pretzels and nuts. For every ounce of nuts, he will use 2 ounces of pretzels.
How many ounces of pretzels and how many ounces of nuts does he need to make 45 ounces of snack mix?
Answers
Answer:
Pretzels: 30 ounces, Nuts: 15 ounces
Step-by-step explanation:
Trust me.
Number of ounces of nuts = 30
Number of ounces of pretzels = 15
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Jamal is making a snack mix with pretzels and nuts.
And, For every ounce of nuts, he will use 2 ounces of pretzels.
Total number of snake mix = 45 ounces
Now,
Let number of ounces of pretzels = y
Let number of ounces of nuts = x
So, We can formulate;
⇒ x = 2y ... (i)
And, x + y = 45 .... (ii)
Substitute the value of x in equation (ii) , we get;
x + y = 45
2y + y = 45
3y = 45
y = 15
And,
x + y = 45
x + 15 = 45
x = 30
Therefore,
Number of ounces of nuts = 30
Number of ounces of pretzels = 15
Learn more about the mathematical expression visit:
https://brainly.com/question/16583268
#SPJ2
HELP WILL GIVE BRAINLIEST!!! Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3?
x less than or equal to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right
Answers
Answer:
A number line with a closed circle on 6 and shading to the right
Step-by-step explanation:
HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
Answers
Answer:
x = 55
Step-by-step explanation:
First set the equations to equal eachother since theyre corresponding.
3x - 60 = x + 50
Then just solve for x.
3x - 60 = x + 50
+60 +60
3x = x + 110
-x -x
2x = 110
/2 /2
x = 55
2x=110
x=55
The answer is x=55
how many solutions does this linear system of equations have
-3x+y=4
9x-3y=-12
Answers
If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?
144
159
166
158
Answers
Answer:
Rs. 144
Step-by-step explanation:
ratio = 276/23 = 12
12(12) = 144
If anyone can do these or atleast like 3 I swear to god I’ll be eternally in your debt it should be pretty easy too, like 7th grade level stuff!
Answers
Answer:
11) x = -5
12) x = -12
13) x = 6
14) y = -9
15) No solution
16) Infinite Solutions
Step-by-step explanation:
11)_______________
5x + 10 = 3x
-5x -5x
10 = -2x
divide by -2
x = -5
12)_______________
6p + 4 = 5p - 8
+8 +8
6p + 12 = 5p
-6p -6p
12 = -1x
x = -12
13________________
3x - 22 = -8x + 44
+22 +22
3x = -8x + 66
+8x +8x
11x = 66
x = 6
14________________
-11(k + 4) = 55
-11y - 44 = 55
+44 +44
-11y = 99
y = -9
15________________
6(c - 8) = 5(2c - 12) - 4c
6c - 48 = 10c - 60 - 4c
6c - 48 = 6c - 60
+48 +48
6c = 6c - 12
-6c -6c
No Solution
16________________
-12y + 21 = -3(5y - 7) + 3y
-12y + 21 = -15y + 21 + 3y
-12y + 21 = -12y + 21
both sides are the same, so
Infinite Solutions
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
What are the coordinates of points P and S?
A. P(4,-4) and S(3,-2)
B. P(4,-4) and S(-2,-3)
C. P(-4,-4) and S(-3,-2)
D. P(-4,4) and S(-3,-2)
Answers
9514 1404 393
Answer:
D. P(-4,4) and S(-3,-2)
Step-by-step explanation:
The first coordinate is the number of units right of the vertical y-axis. Point P is 4 units left, so has an x-coordinate of -4. (Eliminates choices A and B)
The second coordinate is the number of units above the horizontal x-axis. Point P is 4 units up, so has a y-coordinate of +4. (Eliminates choice C)
The coordinates of points P and S are ...
P(-4,4) and S(-3,-2) . . . . . matches choice D
Answer:the answer is D. P(-4,4) and S(-3,-2)
Step-by-step explanation:took the test and got it right
!!
A utility pole broke
and fell as shown
above. What was the
original height of the
post? Round answer
to the nearest tenths
place as necessary.
Answers
Answer:
17ft thats my answer byyyyyye
Please help me with this! Picture is provided. Dont just put random answers I really need help with this.
Answers
Answer:
h(0)=10
h(4)=16
Step-by-step explanation:
for h(0) you would need to do the second equation because it is within the bounds of the variable.
h(0)= 2x^2 - 3x + 10
anything times 0 is 0
so 2(0)^2 - 3(0) + 10=
0-0+10=
10
h(4) would use the third equation since it's the only one that agrees with the variable 4
2^4=16
The beginning balance on the monthly bank statement for Peyton's checking
account was $346.19, and the ending balance was $198.34. What can be said
about Peyton's transactions for the month?
O A. He had $147.85 more in credits than in debits.
O B. He had $544.53 more in credits than in debits.
.
O c. He had $544.53 more in debits than in credits.
O D. He had $147.85 more in debits than in credits.
Answers
Answer:
A: He had $147.85 more in credits than in debits.
Step-by-step explanation:
4. Using the diagram below, which equation can be used to find the length 2 points
of AB?
B
42
A
10
tan 42 = 10/AB
tan 42 = AB/10
cos 42 = AB/10
cos 42 = 10/AB