The histogram that represents the same data as those represented by the dot plot is: third graph.
What are Dot Plots?Dot plots involves the use of dots to represent each data point in a given data distribution.
The data represented by the third histogram perfectly represents the data in the dot plots because the frequency of each group represented by the bins in the histogram tallies with those we have that are represented by each dot in the dot plot.
Therefore, the histogram that represents the same data as those represented by the dot plot is: third graph.
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Write the equation of the line in slope-intercept form.
Answer: y=-3/4x
Step-by-step explanation:
The slope intercept form is when you use the equation y=mx+b (m is the slope and b is the y-intercept). First, let's find the y intercept. The y intercept is what y would be if x is 0. here, you can see that this particular line passes through the origin. So, the y-intercept is zero because when x passes through zero, y is also zero. Next, let's find the slope. The formula for slope is change in y/change in x. Let's randomly choose 2 points off this line. To make this a thousand times easier for us, let's choose the points (-4, 3) and (4, -3). Now, to find the change in y, let's find the difference between the 2 y coordinates we have chosen. To do this we just need to do -3-3, which gives us -6. Now let's find the change in x. To do this we will do the same thing we did to find the change in y but this time we'll use the x coordinates. We will do 4-(-4), which simplifies to 8. Now, we're almost done. Just divide the change in y by the change in x. You will get -6/8. This can be simplified to -3/4. So now we know our slope is -3/4 and our y-intercept is 0. Let's insert them into the equation. y=-3/4x+0. We know that we can just get rid of that 0 because 0 literally means nothing. So our final answer is y=-3/4x. Hope this helps!
When is the constant of proportionality the same as the unit rate when comparing two quantities?
Answer:
Given a table, we can always simplify each ratio pair to find the unit rate. When the unit rate remains the same it is called the constant of proportionality, 'k'. Multiply or divide by the constant of proportionality, to solve problems depending upon the information you're given.
PLZ HELP ;(((
A line passes through the points (k + 10,-2k – 1) and (2,9) and has a y-intercept
of 10. Find the value of k and the equation of the line.
solve for all 3 equations
Answer:
The value of k is -4 and the equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].
Step-by-step explanation:
The equation of the line is defined by the following formula:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]b[/tex] - y-Intercept.
[tex]m[/tex] - Slope.
In addition, the slope of the equation of the line ([tex]m[/tex]) can be known from two distinct points:
[tex]m = \frac{y-y_{o}}{x-x_{o}}[/tex] (2)
Where [tex]x_{o}[/tex] and [tex]y_{o}[/tex] are the coordinates of the reference point.
By applying (2) in (1), we derive the resulting expression:
[tex]y = \frac{y-y_{o}}{x-x_{o}}\cdot x + b[/tex]
[tex]y\cdot (x-x_{o}) = (y-y_{o})\cdot x + b\cdot (x-x_{o})[/tex]
[tex]x\cdot y -y\cdot x_{o} = x\cdot y -x\cdot y_{o}+b\cdot x -b\cdot x_{o}[/tex]
[tex](b-y)\cdot x_{o} = b\cdot x -x\cdot y_{o}[/tex]
[tex](b-y)\cdot x_{o} +x\cdot y_{o} = b\cdot x[/tex] (3)
If we know that [tex]b = 10[/tex], [tex]x = 2[/tex], [tex]y = 9[/tex], [tex]x_{o} = k+10[/tex] and [tex]y_{o} = -2\cdot k -1[/tex], then the value of [tex]k[/tex] is:
[tex](10-9)\cdot (k+10)+2\cdot (-2\cdot k -1) = (10)\cdot (2)[/tex]
[tex]k+10 -4\cdot k -2 = 20[/tex]
[tex]-3\cdot k +8 = 20[/tex]
[tex]-3\cdot k = 12[/tex]
[tex]k = -4[/tex]
The value of the slope is:
[tex]m = \frac{9-7}{2-6}[/tex]
[tex]m = -\frac{1}{2}[/tex]
The equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].
a charter bus holding 80 passengers costs $59.50 an hour. If a round trip took 5 hours, what did it cost each passenger (round to the nearest cen
Answer:
$23,800
Step-by-step explanation:
59.5 x 5 x 80 = $23,800
GIVING BRAILEST
Describe a situation that the equation could represent g+3
_____ =15
6
Answer:
g=153
Step-by-step explanation:
i hope this helped...
Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 60 grams, how much of the element would remain after 30 years, to the nearest whole number?
Answer:
12
Step-by-step explanation:
60(1/2)^30/13 = 12.118996
Mrs. Taylor made 67 tissue holders each day. She decided to sell her tissue holders and sold out each day for four weeks. How many tissue holders did she sell?
A. 1,876 tissue holders
B. 1,866 tissue holders
C. 1,407 tissue holders
D. 670 tissue holders
Answer:
the answer would be A
Step-by-step explanation:
Answer:
A. 1,876 tissue holders
Step-by-step explanation:
What is this expression in simplified form?
(-7/3)(11VIO)
OA. -4625
OB. 77/30
OC. -V2,310
OD. -231/10
Answer:
B
Step-by-step explanation:
if you have a scientific calculator or you can also your phone it will show you the answer.
The value of expression in simplified form is,
⇒ - 77√30
The given expression is,
⇒ (- 7 √3) × (11 √10)
We can simplify it by multiply like terms,
⇒ (- 7 √3) × (11 √10)
⇒ (- 7 × 11) × (√3 × √10)
⇒ - 77 × √30
⇒ - 77√30
Therefore, The value of expression in simplified form is,
⇒ - 77√30
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M(x) = -7x-9 find m(1)
Answer: m=-7/9
Step-by-step explanation: You multiply them by 1 and it divided by themselves again.
Answer:
x = -10/7
Step-by-step explanation:
Start by replacing M(x) with m(1)
so you get...
1 = -7x - 9
+9 +9
10 = -7x
/-7 /-7
x = -10/7
11 13 Which angles form a linear pair?
PRL and LRM
ORP and MRN
MRN and NRO
LRP and ORP
dont mind what was selected in the photo
Answer:
< MRN and < NRO
Step-by-step explanation:
Recall that angles which forma linear pair ae those whose addotion gives 180 degrees (a line).
So in our case these are: < MRN and < NRO
Factor using the magic X method:
x^2 + 6x + 5
SHOW WORK!!!
The table and graph shows the height and weight of 10 basketball players. Which statement is true
Answer:
"a 72 inch player would probably weigh about 160 pounds"
Step-by-step explanation:
Identfy the equation that translates Y= In(x) five units down.
y= In(x-5)
y= In(x)+5
y= In(x+5)
y= In(x)-5
Please please help me
Answer:
y= In(x)-5
Step-by-step explanation:
The number of miles that a particular car can run before itsbattery wears out is exponentially distributed with an averageof 10,000 miles.Problems1. The mean of a probability distribution, , is given by . Find given that theaverage of this exponential distribution is 10,000.
Answer:
[tex]\lambda=10000[/tex] miles
Step-by-step explanation:
We are given that
[tex]\beta=10000 miles[/tex]
Exponential distribution function
[tex]f(x)=\frac{1}{\beta}e^{-\frac{x}{\beta}}, x\geq 0[/tex]
0, otherwise
Using the formula
[tex]f(x)=\frac{1}{10000}e^{-\frac{x}{10000}},x\geq0[/tex]
0, otherwise
[tex]E(x)=\int_{-\infty}^{\infty}xf(x) dx[/tex]
Using the formula
[tex]\lambda=E(x)=\frac{1}{10000}\int_{0}^{\infty}xe^{-\frac{x}{10000}}dx[/tex]
[tex]\lambda=\frac{1}{10000}([-10000xe^{-\frac{x}{10000}}]^{\infty}_{0}+10000[-10000e^{-\frac{x}{10000}}]^{\infty}_{0})[/tex]
Using formula
[tex]\int u\cdot vdx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx[/tex]
[tex]\lambda=\frac{1}{10000}(0-(10000)^2(0-1))=10000[/tex]
Hence, the value of [tex]\lambda=10000[/tex] miles
A rectangular bathroom floor is covered with square tiles that are 1 LaTeX: \frac{1}{2}1 2 feet by 1 LaTeX: \frac{1}{2}1 2 feet. The length of the bathroom floor is 10 LaTeX: \frac{1}{2}1 2 feet and the width is 6 LaTeX: \frac{1}{2}1 2 feet. a) How many tiles does it take to cover the length of the floor?
Answer:
273 tiles
Step-by-step explanation:
Given
Square tile
[tex]Side=\frac{1}{2} ft[/tex]
Bathroom floor
[tex]Length = 10\frac{1}{2}ft[/tex]
[tex]Width = 6\frac{1}{2}ft[/tex]
Required
Determine the number of tiles to cover the floor
First, we calculate the area of the floor:
[tex]A_{floor} = Length * Width[/tex]
[tex]A_{floor} = 10\frac{1}{2} * 6\frac{1}{2}[/tex]
Convert to decimals
[tex]A_{floor} = 10.5 * 6.5[/tex]
[tex]A_{floor} = 68.25ft^2[/tex]
Next, we calculate the area of the square tile:
[tex]A_{tile} = Side * Side[/tex]
[tex]A_{tile} = \frac{1}{2} * \frac{1}{2}[/tex]
Convert to decimal
[tex]A_{tile} = 0.5 * 0.5[/tex]
[tex]A_{tile} = 0.25ft^2[/tex]
The number of tiles is then calculated as:
[tex]Tiles = \frac{A_{floor}}{A_{tile}}[/tex]
[tex]Tiles = \frac{68.25ft^2}{0.25ft^2}[/tex]
[tex]Tiles = \frac{68.25}{0.25}[/tex]
[tex]Tiles = 273[/tex]
[tex]2x^{2} + 3 = 5[/tex]
Could someone please walk me through this equation?
Answer:
x = 1
Step-by-step explanation:
2x^2 + 3 = 52x^2 = 5 - 32x^2 = 2x^2 = 2/2 x = \| 1 x = 1The length of a rectangle is 100
cm, and its perimeter is greater
than 300 cm. Write an
inequality and solve for the
width (w).
Answer:
[tex]P = 2(l + w) \\ 2(l + w) > 300 \\ 2(100 + w) > 300 \\ 100 + w > 150[/tex]
For width
[tex]100 + w > 150 \\ w > 150 - 100 \\ w > 50 \: cm[/tex]
Need a little help pleaseeee
Answer:
last one I think
Step-by-step explanation:
jejejeiwneieneisnsisneiwnsisna
A real estate agent earns a 6% commission on every house he sells. He sold a house for $150,000. How much commission did the real estate agent earn?
Answer:$9,000
Step-by-step explanation:
150,000 x 0.06
You use a garden hose to fill a wading pool. If the water level rises 13 centimeters every 3 minutes and you record the data point of (9,y), what is the value of y? Use slope to justify your answer.
Answer:
The rate of change at which the water level rise is 13/6 cm/minute.The slope of the line is 13/6.The value of y is 23, (12,23).
The quotient of 24 and the sum of 5 and 3
Answer:
3
Step-by-step explanation:
first you add 5 + 3 = 8 then 24 divided by 8 = 3
last year, a popular mobile app was downloaded 2.47 x 10^8 times. write the number of times the app was downloaded in slandered form
Answer:
247000000
Step-by-step explanation:
10^8 = 10×10×10×10×10×10×10×10
=100000000
or, downloaded=100000000×2.47
=27000000
Answer: 453 more downloads 1,547 more downloads
7,549 more downloads 435 more downloads ( it will be one of these answers pls help me im doing a quiz) ~cries cutely~
Step-by-step explanation:
An app was downloaded 3,548 times last week. This week the app was downloaded 4,001 times. How many more downloads did the app have this week than last week
y = x² - 6x +9 discriminant
Answer:
discriminant equals zero
Step-by-step explanation:
b² - 4ac where a = 1, b = -6, and c = 9
(-6)² - 4(1)(9) = 36 - 36
Which of these functions has a greater rate of change than the function graphed below, and why?
12.
9
-12
-9
-6
-3
3
9
12
3
16
-9
-12
y = 2x + 12, because the rate of change of the graphed function is 9
O y = 2x + 12, because the rate of change of the graphed function is 3
O y = 10x + 1, because the rate of change of the graphed function is 3
O y = 10x + 1, because the rate of change of the graphed function is 9
Answer:
the answer is the first one
Step-by-step explanation:
becuse im doing it rn
Answer:
it's A
Step-by-step explanation:
i took the test
Evaluate the expression |31 - 2u1 + 50 ift=2
*=-5, and o
Answer:
2
Step-by-step explanation:
t=-2
(2(-2)-3)+9
(-4)-3+9
-7+9
2
Angle Relationships
Answer:
In Geometry, there are five fundamental angle pair relationships:
Complementary Angles.
Supplementary Angles.
Adjacent Angles.
Linear Pair.
Vertical Angles.
The measure of the angle u and angle t will be 29 degrees.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The angle u is congruent to angle t.
From the diagram, angle t, angle u, and angle 122 are supplementary angles. Then the equation is given as,
∠t + ∠u + 122° = 180°
∠t + ∠t = 58°
2∠t = 58°
∠t = 29°
The measure of the angle u and angle t will be 29 degrees.
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- 5n +5=55
Here is the equation how do you solve?
Answer:
the answer would be n= -10
Step-by-step explanation:
-5n+5 + 55
subtract 5 on both sides
-5n = 50
divide both sides by -5
n = -10
A full container has 2 1/2 gallons of juice. A serving is 1/16 gallon of juice. How many servings of juice are in the container?
Answer:
40 servings
Step-by-step explanation:
2 1/2 / 1/16 = 5/2 x 16/1 = 80/2 = 40
PLS PLS PLS PLS HELP!
Determine whether each expression is equivalent to (10 X 18) + (10 X s).
Choose Yes or No for each expression.
A 190 XS
B 20 x 18s
C 180 + 10s
(10 + 10) x (18+ 8)
D
E 10(18+ s)
Answer:
c
Step-by-step explanation:
that's the only one i could get i think i dont know im not good at math..... sorry if i didn't help
Geometry help please
Answer:
32 degrees
Step-by-step explanation:
5z+200=360
5z=160
z=32
