The two line plots below show the times that Marco and Antonio ran in ten trials of the 40-yard dash.
antonio's:4.5,4.5,4.6,4.6,4.6,4.8,4.8,5.2,5.2,5.3,5.5
Marcos's:4.8,4.8,4.9,4.9,4.9,4.9,5.0,5.0,5.0,5.1
Which of the following can be inferred from the data?
A. Antonio runs the race faster than Marco on average.
B. Marco always runs a better time than Antonio.
C. Marco is more likely than Antonio to improve after a poor race.
D. Antonio's average time is about 5.1 seconds,
Step-by-step explanation:
The answer is A
Bcz In a race runs faster whoever does it in less time
write an equation of the line that passes through the point (4,7) that is parallel to the line y = 3x+1
Explanation:
The given line y = 3x+1 has a slope of 3 as it is in the form y = mx+b
Any line parallel to this given line will also have a slope of 3. Parallel lines have equal slopes but different y intercepts.
Using m = 3 and (x,y) = (4,7), find the value of b
y = mx+b
7 = 3*4+b
7 = 12+b
12+b = 7
b = 7-12
b = -5
We have y = mx+b update to y = 3x+(-5) or y = 3x-5
Plug in x = 4 and you'll have y = 3x-5 turn into y = 7.
6.4 m
12m
12.5 m
rectangular prism
Answer:
Volume: 9500 m^3
Step-by-step explanation:
6.4 * 12 = 76.8
76.8 * 12.5 = 9500
Polygon ABCD is defined by the points A(-4,2) B(-2, 4), C(1, 3) & D(2,2). Match the coordinates of the points of the transformed polygons to their correct values
Answer:
D'(-2, 2); C''(3, -1); A'''(4, -2); and B''(4, 2)
Step-by-step explanation:
See attachment for the figure.
For D', rotating the point (2, 2) 90° counterclockwise. This maps each point (x, y)→(-y, x); it takes (2, 2)→(-2, 2).
For C'', rotating the point (1, 3) 90° clockwise. This maps each point (x, y)→(y, -x); it takes (1, 3)→(3, -1).
For A''', rotating the point (-4, 2) 180° clockwise. This maps every point (x, y)→(-x, -y); it takes (-4, 2)→(4, -2).
For B'', rotating the point (-2, 4) 270° counterclockwise. This is the similar as rotating the point 90° clockwise. This maps every point (x, y)→(y, -x); it takes (-2, 4)→(4, 2).
A card is drawn from a normal 52 card deck. The card number and sum are noted, the card is placed back in the deck, then another card is drawn. Find the probability that a) the first card was a queen and the second card as a 10. b) the first card was the Queen of Hearts and the second card was an 8. c) both cards were Jacks. d) the first card was the 5 of Spades and the second card was the Ace of Hearts.
Step-by-step explanation:
a) There are 4 Queens in a deck, so the probability the first card is a Queen is 4/52 = 1/13.
There are 4 10s in a deck, so the probability the second card is a 10 is 4/52 = 1/13.
The probability of both events is 1/13 × 1/13 = 1/169.
b) There is 1 Queen of Hearts in a deck, so the probability the first card is a Queen of Hearts is 1/52.
There are 4 8s in a deck, so the probability the second card is a 8 is 4/52 = 1/13.
The probability of both events is 1/52 × 1/13 = 1/676.
c) There are 4 Jacks in a deck, so the probability the first card is a Jack is 4/52 = 1/13.
There are 4 Jacks in a deck, so the probability the second card is a Jack is 4/52 = 1/13.
The probability of both events is 1/13 × 1/13 = 1/169.
d) There is 1 5 of Spades in a deck, so the probability the first card is a 5 of Spades is 1/52.
There is 1 Ace of Hearts in a deck, so the probability the first card is a Ace of Hearts is 1/52.
The probability of both events is 1/52 × 1/52 = 1/2704.
*Some help please?*
The graph of g(x) is a transformation of the graph of f(x)=3^x.
Enter the equation for g(x).
g(x) =
Answer:
I'm sorry this is kind of a hard question
The radius of a circle is 2 units.what is it’s circumference
Answer:
see below
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * pi *2
C = 4pi
Let pi = 3.14
C = 4 * 3.14
C =12.56
Using the pi button
C =12.56637061
Answer:
12.571428...units or [tex]\frac{88}{7}[/tex]
Step-by-step explanation:
Circumference of a circle= [tex]2\pi r[/tex]
Radius(r)= 2 units
∴Circumference= [tex]2*\frac{22}{7}*2 units[/tex]
= [tex]\frac{88}{7} units[/tex]
= 12.571428.....units
To the nearest hundredth, what is the circumference of a circle with a radius
of 5 units?
Answer:
31.42
Step-by-step explanation:
I think that's right. Hopefully it is.
3x-2= 4x+9/3 whats the solution
Evaluate this expression.
5^2 +3 (8-2)
A. 28
B. 32
C. 43
D. 47
E. 168
Answer:
C. 43
Step-by-step explanation:
PLEASEEE HELPPP MEE WITH THIS QUESTION!!!!!!! I REALLY NEED HELP!!!!! PLS ANSWER IT CORRECTLY NO GUESSING PLSS HELP ASAP!!!!!!!
Answer: Because each leaf will not have a single digit.
Step-by-step explanation:
Is 313756 divisible by 9?
Answer:
No.
Step-by-step explanation:
313756 is not divisible by 9 .
Easy way to find it out. - 313756
3+1+3+7+5+6 = 25
25 is not divisible by 3...so , it is not divisible by 9 too
Hope it helps you
If f(x)= x-3 over x and g(x)= 5x-4 what is the domain of (f•g)(x)
Answer:
I attached the work to your problem below.
I hope it helps.
An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will go down by a dollar. Thus, if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?
Answer:
60 copies
Step-by-step explanation:
Answer: 60 copies
Step-by-step explanation:
A student got 78 marks out of a possible 120. Express the students mark as a percentage
The student's mark can be expressed as 65%.
To express the student's mark as a percentage, you need to divide the number of marks obtained by the possible marks and multiply by 100.
In this case, the student got 78 marks out of a possible 120.
Percentage = (Marks Obtained / Possible Marks) * 100
Percentage = (78 / 120) x 100
Percentage = 0.65 x 100
Percentage = 65%
Therefore, the student's mark can be expressed as 65%.
Learn more about Percentage here:
https://brainly.com/question/28998211
#SPJ2
A pack of 6 waters costs $5.10. How much does 1 water cost?
So each bottle of water costs $0.85
look at the attached picture
Hope it will help you..
Answer:
85 cents
Step-by-step explanation:
divide 5.10 by 6
15 POINTS + BRAINLIEST
true or false box plot question
Answer:
I believe both are true
Step-by-step explanation:
Answer:
a) false
b) true
Step-by-step explanation:
25% people spent between 10 and 35
The box shows that 50% of the people spent 10 - 40
A rectangular swimming pool is 10 meters long and 4.5 meters wide. If the volume of the
water in the pool is 72 cubic meters, how deep is the water?
(4 Points)
Hin Volume
h Identh
Answer: 1.6 meters deep
Step-by-step explanation:
LxWxH
10x4.5 = 45
45x1.6 = 72
Answer:
[tex]1.6m[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Identify the zero(s) of [tex]f(x)=4x^{2} - 20x - 56[/tex]. -- Urgent 10 minutes! Many points!
Answer:
x = - 2, x = 7
Step-by-step explanation:
Given
f(x) = 4x² - 20x - 56
To find the zeros let f(x) = 0, that is
4x² - 20x - 56 = 0 ( divide through by 4 )
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 7 = 0 ⇒ x = 7
If k ∈ A ∩ B, which is the most specific location of k on the Venn diagram? I II III IV
Answer:
B) ||
Step-by-step explanation:
saw this on another page and noticed the right answer was missing here
The location of k in Venn diagram is in II region.
What is Venn Diagram?A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not. Venn diagrams are useful for showing how two concepts are related and different visually.
We have,
k ∈ A ∩ B means k is an element of both A and B.
The region I is or A only and the region I|I is only B.
and, the region II is for those whose share A and B.
Also, zone II is in between zone I and zone III which is both.
Learn more about Venn Diagram here:
https://brainly.com/question/29301560
#SPJ7
a. How long is 50% of 60 minutes?
Answer:
30 mn
Step-by-step explanation:
You need to calculate :
60 × 50% = 60×(50÷100)
=3000÷100
= 30
Write the equation of the hyperbola centered at the origin with focus (74, 0) and asymptote y=-7/5x
The equation of the hyperbola is =x^2/a^2-y^2/b^2=1
The equation of the given hyperbola is; x²/25 - y²/49 = 1
What is the equation of the hyperbola?
We are given;
Focus = (74, 0)
Asymptote; y = -⁷/₅x
Centered at origin
We are given that the general form of equation of a hyperbola is;
x²/a² - y²/b² = 1
Now, we know that the equations of the asymptotes are;
y = ±(b/a)x
Thus, comparing the above with our asymptote of y = -7/5x gives us;
a = 5 and b = 7
Thus, the equation of the given hyperbola is;
x²/5² - y²/7² = 1
⇒ The equation of the given hyperbola is;
x²/25 - y²/49 = 1
Read more about Hyperbola Equation at; https://brainly.com/question/3405939
#SPJ1
Answer:
The answer is 5 and 7
Step-by-step explanation:
What concept did the founders of the united states borrow from the ancient greeks?
Jen buys 4 tires for $272.
What is the cost of 1 tire?
Divide the total cost by 4:
272 / 4 = 68
It cost $68 for 1 tire
Answer:
68
Step-by-step explanation:
272/4=68
I have the following question on an assignment. I have no idea how to factor to variables that aren't there.
[tex]x^2 + 7x + 10[/tex]
Answer:
I have attached the work to your problem below.
I hope this helps!
Which is greater, 4.87 x 10^9 or 9.212 x 10^8?
please helpp
Answer: 4.87 x 10^9 is greater than 9.212 *10^8
Step-by-step explanation:
4.87 x 10^9 is greater than 9.212 *10^8 because it has the greater exponent.
4.87 * 10^9 = 4,870,000,000
9.212 *10^8= 921,200,000
4,870,000,000 > 921,200,000
A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round your answer to the nearest tenth. The perimeter of the fountain is about a feet.
complete question:
A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 10 ft. Find the perimeter of the fountain. Round your answer to the nearest tenth. The picture is represented below.
Answer:
The perimeter of the fountain = 47.1 ft
Step-by-step explanation:
The fountain has 2 semi circle from a smaller circle with the diameter represented as 10 ft and a quarter circle from a bigger circle with the radius equals to 10 ft.
The perimeter is the distance around the fountain.The perimeter is the circumference in circular perspective. Therefore,
perimeter for a full circle = 2πr
Half circle = 2πr/2 = πr
For 2 half circle = πr + πr = 2πr
For 2 half circle = 2πr
r = 10/2 = 5
perimeter for 2 half circle = 2 × 5 × 3.14 = 31.4 ft
Perimeter for the quarter circle
r = 10 ft
Quarter circle perimeter = 1/4 × 2πr = πr/2
Quarter circle perimeter = (3.14 × 10)/2
Quarter circle perimeter = (31.4)/2
Quarter circle perimeter = 15.7 ft
The perimeter of the fountain = 15.7 ft + 31.4 ft = 47.1 ft
Answer:
47.1
Step-by-step explanation:
47.1
please make me branlyest
Algebra sucks help me
Answer:
The answer would be D
Step-by-step explanation:
It is the only one that makes sense ;-;
(hope this is correct)
PLEASE HELP - One of the solutions to the x to the second power -14x + 45 =0 is x=5. What is the other solution?
- I think the answer is either 9 or -9!!! Please tell me what u think, thank u!! Very appreciateddd :))
Step-by-step explanation:
x^2 -14x + 45 =0
look for two numbers that their :
sum= - 14 (-5 & -9)
products = 45 (-5 & -9)
so,
(x-5)(x-9)=0
thus,
x=5, x=9 (ANS)
Solve the inequality
-7x + 12 = 75
Answer:
12/75 = 4/25
Step-by-step explanation:
Answer: x = -9
Explanation: