Answer:
[tex]1.037 \times {10}^{7} [/tex]
A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the number of times 12 visitors went down a water slide.
4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11, 1
Create a histogram of this data.
To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.
Answer:
Refer to image
Step-by-step explanation:
When creating a histogram it is best to create a range for the different variables that are available.
So for the sake of covering all the possible ranges from 1 - 22, let's divide it into 5 categories.
0 - 5
6 - 10
11 - 15
16 - 20
21 - 25
Now that we have set ranges for the different variables, we then find the frequencies.
0 - 5 : 3
6 - 10 : 2
11 - 15 : 3
16 - 20 : 1
21 - 25 : 3
Now that we have all the values we can then create our histogram
/
The center of an ellipse is (-4,0) one vertex is (-8,0) and one co-vertex is (-4,1). Write the equation of the ellipse
Answer:
The equation of the ellipse is;
[tex]\dfrac{(x + 4)^2}{4^2} + \dfrac{(y - 0)^2}{1^2} = 1[/tex]
Step-by-step explanation:
The parameters of the ellipse are;
The location of the center of the ellipse = (-4 0)
The coordinates of the vertex of the ellipse = (-8, 0)
The coordinates of the the co-vertex = (-4, 1)
The general form of the equation of an ellipse is presented as follows;
[tex]\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]
The center of the above equation of an ellipse = (h, k)
The vertex of the above equation are; (h - a, k) and (h + a, k)
The co vertex of the above equation are; (h, k - b) and (h, k + b)
By comparison, we have;
h = -4, k = 0
For the vertex, we have;
When
h - a = -8
∴ -4 - a = -8
-a = -8 + 4 = -4
a = 4
When
h + a = -8
-4 + a = -8
∴ a = -4
a = 4 or -4
We note that a² = 4² = (-4)²
For the covertex, we have;
When
k - b = 1
0 - b = 1
b = -1
When k + b = 1
0 + b = 1
b = 1
∴ b = 1 or -1
b² = 1² = (-1)²
We can therefore write the equation of the ellipse as follows;
[tex]\dfrac{(x - (-4))^2}{4^2} + \dfrac{(y - 0)^2}{1^2} = \dfrac{(x + 4)^2}{4^2} + \dfrac{(y - 0)^2}{1^2} = 1[/tex]
Therefore;
[tex]\dfrac{(x + 4)^2}{4^2} + \dfrac{(y - 0)^2}{1^2} = 1[/tex]
Can someone tell me what 2 + 2 is ?
Answer:
Your answer is 4 and I hate it to my guy. Have a good one mate!
Step-by-step explanation:
Answer: 2+2 =4
Step-by-step explanation: add 1 and 1 and add 1 and 1
1,2,3,4
-8{-5+[(8-12)+(13+12)]-10}
Answer:
-48
Step-by-step explanation:
Use Bodmas
=-8{-5+[(-4)+(25)]-10}
=-8{-5+[(21)]-10}
=-8{6}
=-8×6
=-48
1. A soccer field has an area (A = LW) that is represented by the polynomial 1 point
below. Which binomials could represent the possible dimensions of the
soccer field?(Hint: Use factoring)
Answer:
[tex](x + 6)(x - 6)[/tex]
Step-by-step explanation:
Given
See attachment for soccer field
Required
The possible dimension of the field
From the attachment, we have:
[tex]Area = x^2 - 36[/tex]
[tex]Length = x +a[/tex]
[tex]Width = x + b[/tex]
So, we have:
[tex]Length * Width = Area[/tex]
This gives:
[tex](x + a)(x + b) = x^2 - 36[/tex]
Express 36 as 6^2
[tex](x + a)(x + b) = x^2 - 6^2[/tex]
Express as difference of two squares
[tex](x + a)(x + b) = (x + 6)(x - 6)[/tex]
Hence, the dimension is: [tex](x + 6)(x - 6)[/tex]
A certain television is advertised as a 36-inch TV . If the width of the TV is 26 inches, how tall is the TV? Round to the nearest tenth of an inch.
Answer:60
Step-by-step explanation: 30+ 20 +6+6
Given P(A)=0.64P(A)=0.64, P(B)=0.4P(B)=0.4 and P(A\cap B)=0.356P(A∩B)=0.356, find the value of P(A\cup B)P(A∪B), rounding to the nearest thousandth, if necessary.
Answer:
Step-by-step explanation:
P(A U B) = P (A) + P (B) - P (A and B)
= 0.64 + 0.4 - 0.356
= 0.684
The value of P(A∪B) is 0.684
What is probability?Probabilities are used to determine the chances of events
The given parameters are:
P(A)=0.64,
P(B)=0.4
P(A∩B)=0.356
To find the value of P(A∪B), we make use of the following formula
P(A∪B) = P(A) + P(B) - P(A∩B)
So, we have:
P(A∪B) = 0.64 + 0.4 - 0.356
Evaluate the expression
P(A∪B) = 0.684
Hence, the value of P(A∪B) is 0.684
Read more about probability at:
https://brainly.com/question/25870256
PLEASE HELP QUICK
Using a model of the prototype artillery, a ball is fired into the air with an initial upward velocity of 48 ft/s. Its height, h, in feet after t seconds is given by the function:
What height will the ball be when 2 seconds has passed?
In how many seconds will the ball reach its maximum height?
What is the ball’s maximum height?
After how many seconds will the ball hit the ground?
equation is in the comments!!!!!
t = time Just put t = 2 into the equation and calculate h
h = - 16(2^2) + 48(2) + 4 Got it ?
HELP FOR BRAINLIST!!!!!!!!!
Answer:
literally none of these are correct i'm in college and none of these are right. bro talk to your teacher
Step-by-step explanation:
The above equation is equal to 6c x 3. NONE OF YOUR OPTIONS SIMPLIFY TO THAT???
for brainiest:):):):):):):):)
Answer:
Answer for b is BFC and CFD
Answer for c is BFD and BFA
Answer for d is BFD and AFE
I don't know about a sorry
Which expression is equivalent to 3 (x + 4)?
Answer:
Step-by-step explanation:
ILL BRAINLIEST YOU IF YOU PLEASE HELP ME
Answer:
11.313708498984760390413509793678 (round that)
Step-by-step explanation:
use pythag thorem, a^2 + b^2= c^2
a is 8 and b is 8 so square both and add them 64+64= 128
then take square root of 128 to find length c
and you get 11.313708498984760390413509793678
you are welcom
WILL GIVE BRAINLIEST!! ABC is a triangle. Find the size of the largest angle in the triangle. Give your answer in degrees correct to 3 significant figures.
Answer:
98.2°Step-by-step explanation:
The largest angle is opposite to the largest side.
Since the largest side is BC, the largest angle is A.
Work out the angle measure using the law of cosines:
cos ∠A = (b² + c² - a²)/(2bc)cos ∠A = (3² + 7² - 8²)/(2*3*7)cos ∠A = -0.14286m∠A = arccos (-0.14286)m∠A = 98.2°please answer 3 a) and 3 b)
Answer:
Step-by-step explanation:
Part A
The graph shows where the intersect point is. This is the only way I can see to do this problem.
f(x) is the red line
g(x) is the blue line
Part B
-1.553< x < 4.11
sin75degree=Cos____degree
Answer: 15
Step-by-step explanation:
We know that sin 75 degrees = 0.90659...
Now, to find cos: cos-1 (0.90659) = 15
So the answer is 15.
(5-3i)+(2+6i) solve in steps
hello please help i’ll give brainliest
Find a formula for an arithmetic sequence that begins 45, 40, 35, 30, ...
a) qn = 40+5n
b) qn = 50-51
c) 9n = 45-5(n-5)
d) 9n=45-5n
Answer:
C) 9n=45-5(n-5)....…...….......
The formula for an arithmetic sequence that begins 45, 40, 35, 30, ... will be an = 45-5(n-1). The correct option is C.
What is an arithmetic sequence?An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.
Given that the arithmetic series is 45, 40, 35, 30,.. Here in the series, the first term is 45 and the common difference is d = 5.
The formula for the nth term in the arithmetic series is given below:-
an = a₁ + d ( n - 1 )
Substitute the values in the given formula above.
an = a₁ + d ( n - 1 )
an = 45 + 5 ( n - 1 )
Therefore, the formula for an arithmetic sequence that begins 45, 40, 35, 30, ... will be an = 45-5(n-1). The correct option is C.
The correct options are given below:-
a) an = 40+5n
b) an = 50-51
c) an = 45-5(n-1)
d) an=45-5n
To know more about arithmetic series follow
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I need help with this thanks to whoever helps :)
Answer:
70 kilometers
Hope this Helps! :)
In-Depth Explanation: 20 x 3.5 = 70 kilometers
Answer:
70 kilometers
Step-by-step explanation:
20 x 3 is 60
Half of 20 is 10
BRAINLIEST GIVER HERE..PLEASE HELP!
⚠︎⚠︎Just please dont put any packing links it's just plain yussless to me.⚠︎⚠︎ thank you
using trapezoid TANK with median ōB, find the indicated base/median length.
If OB = 9.12 and AT = 5.44, find KN.
Answer:
12.8
Step-by-step explanation:
Theorem: The median of a trapezoid is parallel to each base and the length of the median equals one-half the sum of the lengths of the two bases.
OB = (1/2)(AT + KN)
9.12 = (1/2)(5.44+ KN)
Multiply both sides by 2
18.24 = 5.44 + KN
Subtract 5.44 from both sides
12.8 = KN
If OB is the median. Then the measure of the length KN of the trapezoid will be 12.8 units.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Using a trapezoid tank with median OB.
Then the indicated base/median length will be
If OB = 9.12 and AT = 5.44.
Then the measure of the length KN of the trapezoid will be
OB = (AT + KN)/2
9.12 = (5.44 + KN)/2
18.24 = 5.44 + KN
KN = 12.8
Thus, the measure of the length KN of the trapezoid will be 12.8 units.
More about the geometry link is given below.
https://brainly.com/question/7558603
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Help please. I’ll give brainliest.
Answer:
your answer is 1/343 in decimal form it is 0.00291545
Find an equation for the nth term of the arithmetic sequence.
a19 = -58, a21 = -164 (2 points)
an = 896 - 53(n - 2)
an = 896 - 53(n - 1)
an = 896 + 53(n + 1)
an = 896 - 53(n + 1)
Answer:
an = 896 - 53(n - 1)
[tex]a _{19} = l + (19 - 1) \times d \\ - 58= l+ 18d - - - (i) \\ \\ a _{21} = l + (21 - 1)d \\ - 164 = l + 20d - - - (ii) \\ (ii) - (i) : \: - 106 = 2d \\ d = - 53 \\ hence : l = - 58 - (18 \times - 53) \\ l = 896 \\ = > a _{n} = 896 + (n - 1) \times - 53 \\ a _{n} = 896 - 53 (n - 1)[/tex]
find the area of the shape
Answer:
300
Step-by-step explanation:
10x10=100
100×3=300
(You multiply is by 3 because if you split the shape, there are 3 equal 10m by 10m squares.)
Create a data set with at least 7 values so that the median is 12.
Answer:
5, 7, 8, 12, 13, 17, 20
Step-by-step explanation:
REMEMBER: THE MEDIAN IS THE 'MIDDLE NUMBER' OF A DATA SET
Also, in order to find the median, the numbers must be in numerical order.
Find the length of all segments in the triangle
Find LA, AE, SL
Please answer this question mhanifa and explain the answer thank you(: ANY LINKS WILL BE REPORTED INSTANTLY!!!
Answer:
Option DStep-by-step explanation:
A function is odd if and only if f(-x) = - f(x) and is symmetric with respect to the origin.
The sine function is odd and cosine is even.
Correct option is D
A person sold an article at a profit of 15% , if he sold it for rs.81 less , his loss would have been 12% , find the cost price of article.
Answer:
cp is RS 300
Step-by-step explanation:
let cp be x
sp= 115x/100 ---(when 15%gain)
sp = 88x/100------(when 12% loss
according to question
115x/100 - 88x/100 = 81
or, (115x-88x)= 8100
or, 27x = 8100
or, x= 8100/27
x = 300
hence cp is RS 300
Which describes the slope of the line in the graph.
A)
zero
B)
positive
C)
negative
D)
undefined
Answer:
A . the slope is positive
Step-by-step explanation:
Can someone help me with this?
Answer:
Attached is your answer
Step-by-step explanation:
Answer:
belt=23.31428571
wristband=43.63636364
Step-by-step explanation:
wristband=×
belt=×
items produced=30
total amount of things sold=204$
let the unknown be=×
price of wristband=5.50&
price of belt=8.75$
×+×=30
×^2=30
240/5.50=43.6363634
240/8.75=23.31428571
April has a sheet of paper that is 4 feet long. She cuts the length of paper into halves and then cuts the length of each of these
1/2
pieces into fourths.
How many pieces does she have?
Answer :
How many inches long is each piece?
Answer :