The scatter plot shows the profit by the month for a new company during its first year of operation. Which equation most closely models the line of best fit for the scatter plot? A) y = 5x B) y = 2.5x C) y = 5x + 1000 D) y = 2.5x + 1000
The equation most closely models the line of best fit for the scatter plot is y = 2.5x
Equation of a lineA line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b
m is the slopeb is the intercept
Using the coordinate points on the line (3, 5000) and (9, 20000)
Get the slope
Slope = 20000-5000/9-3
Slope = 15000/6 = 2500
Determine the y-intercept
5000 = 2500(3) + b
b = 5000 - 7500
b = -2500
Determine the equation
y = 2.5x - 2.5
Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x
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A media streaming website knows that 70\%70%70, percent of its customers primarily watch on their television, 18\%18%18, percent primarily watch on their computer, and 12\%12%12, percent primarily watch on a mobile device. The company wonders if these percentages hold true after a recent update to the product. They take a random sample of 700700700 customers and obtain these results: [image here]
They want to perform a \chi^2χ
2
\chi, squared goodness-of-fit test to determine if these results suggest that the the distribution has changed.
What is the expected count of customers that watch on their computer in the sample?
You may round your answer to the nearest hundredth.
The expected count of customers that watch on their computer in the sample is 126.
How to calculate the expected count?From the information given about the media. The expected count totally will be calculated as follows:
= (700 × 0.7) + (700 × 0.18) + (700 × 0.12)
= 490 + 126 + 85
= 700
Therefore, the expected count of customers that watch on their computer in the sample will be:
= 700 × 0.18
= 126
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The two tables give the number of pints of red and blue paint that are used to make different amounts of two shades of purple paint.
Purple #1 is made by mixing red and blue in a ratio of 1 : 2.
Purple #2 is made by mixing red and blue in a ratio of 1 : 3.
Use the drop-down menus to complete each sentence below.
The combine ratios will be a1:a2:a3 = 1:2:3 as the a1 is equal to a2 and the 2:4 shows the mixing 2 red with 4 blue paint.
What is the ratio?It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign : between the numbers.
We have:
Purple 1 is made by mixing red(a1) and blue(a2) in a ratio of 1 : 2.
Purple 2 is made by mixing red(a3) and blue(a4) in a ratio of 1 : 3.
Here the options are not given, but we can combine the above ratios like:
a1:a2:a3 = 1:2:3 (a1 = a3)
If we multiply with any number (let's say 2) in the ratio 1 : 2 and 1 : 3
We get:
2:4 (mixing 2 red with 4 blue paint) and
2:6 (mixing 2 red with 6 blue paint)
Thus, the combine ratios will be a1:a2:a3 = 1:2:3 as the a1 is equal to a2 and the 2:4 shows the mixing 2 red with 4 blue paint.
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The exact circumference of a circle is 15.6π inches. What is the approximate area of the circle? Use 3.14 for π . Round to the nearest hundredth if necessary. Explain how you found your answer.
Answer:
r = 3.95
Explanation:
A = [tex]\pi {r}^{2} [/tex]
3.14r² = 15.6 (3.14)
Divide by 3.14
r² = 15.6
r = [tex] \sqrt{15.6} [/tex]
r ≈ 3.95
Can someone help me with this question please
Answer:
A = Z
B = X
C = Y
AB = ZX
AC = ZY
BC = XY
CAB = YZX
Step-by-step explanation:
Flip the second triangle so the longest line is on the bottom
after you do that it looks exactly like the other one
Rectangle ABCD was dilated to create rectangle A'B'C'D. What is AB?
Answer:
6
Step-by-step explanation:
9.5/3.8 = 2.5
15/2.5 = 6
Write the power (-2)³ in repeated multiplication form. Then find the value of the power.
The power in repeated multiplication form is
The value of the power is
Answer:
The power in repeated multiplication form is (-2)*(-2)*(-2)
The value of the power is -8
=====================================================
Reason:
Exponents represent repeated multiplication. The small number up top is the exponent that tells us how many copies of the base to multiply
In this case, the exponent 3 tells us we have 3 copies of "-2" multiplied together to get (-2)*(-2)*(-2)
This simplifies to -8
1 inch represents 4 feet. On the blueprint what is the length of a room with an
actual length of 27 feet?
O A 6 inches
OB. 9 inches
OC. 4 inches
OD. 12 inches
? 2
3
4
If a = -8, b = -7, c = 6, then verify that (a+b) + c = a+ (b+c)
tysm for de help ✨
The given information is,
→ a = -8
→ b = -7
→ c = 6
Let's verify the problem,
→ (a+b) + c = a+ (b+c)
→ (-8 - 7) + 6 = -8 + (-7 + 6)
→ -15 + 6 = -8 - 1
→ -9 = -9
→ [ LHS = RHS ]
Hence, it is equal and verified.
Question 9 Multiple Choice Worth 1 points)
(08.03 MC)
The Quadratic Formula, x= -b* vb2 - 4ac was used to solve the equation 3x² + 4x - 2 = 0. Fill in the missing denominator of the solution.
A. -4
B. 2
C. 3
D. 6
Option C is correct, the missing denominator of the solution is 3.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given quadratic equation is 3x² + 4x - 2 = 0.
We have to use the quadratic formula to find root
x = -b±√b²-4ac/2a
From the equation a = 3, b= 4 and c=-2
Plug in these in formula
x = -4 ±√ 4²-4(3)(-2)/2(3)
x = -4 ±√16+24/6
x = -4 ±√40/6
x = -4 ± 2√10/6
x = -2 ± √10/3
Hence, the missing denominator of the solution is 3.
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A wheel for a game is to be made by dividing a circular disk into six equal pie-shaped wedges and numbering them from 1 to 6. in how many ways can this numbering be done?
120
720
5,040
explain
Answer:
720
Step-by-step explanation:
For the first wedge, you have 6 numbers to choose from .
For the second wedge , you have 5 numbers to choose from .
For the 3rd wedge , you have 4 numbers to choose from .
For the 4th wedge , you have 3 numbers to choose from .
For the 5th wedge , you have 2 numbers to choose from .
For the 6th wedge , you have 1 number to choose from .
Conclusion: this numbering can be done in:
6×5×4×3×2×1 = 720
Note :
Generally ,we write 6×5×4×3×2×1 as 6! and we read it 6 factorial.
hhhhhhhhhhhhhhhhhhhhhhhh
Answer:
1/8
Step-by-step explanation:
A line that passes through the point (-3, -6) has a slope of Which is another point on this
Answer: (3,3)
Step-by-step explanation:
Its A the answer for ur which expression shows a way
Answer: I think you somehow managed to try to make an answer and then accidentally clicked "add a question" and then just so happened to not realize, so you made your answer as a question...
Step-by-step explanation:
Kidding, but I'm not sure what this is supposed to be answering... There is not much context given lol.
b) Heledd buys a car for £12000. The car depreciates at a rate of 9% per year. How much will the car be worth after 3 years?
Answer:
9042.85 pounds
Step-by-step explanation:
12000×0.91^3
12000×0.753571
9042.85 pounds
??? Please
Which point represents -2 3/8 on the number line?
Answer:B
count 2 and ~1/4 back and you get b
What is 5.3 x 10^-9 written in standard notation?
Answer:0.53 x 10^ -8
Step-by-step explanation:
Just move the decimal over to the right and add 1 to the exponent.
what is the meashure of the angle of n 35
find the area of the following figure
Answer:
C) 312 cm^2
Step-by-step explanation:
To find the total area of the composite figure, you must sum the individual components of the figure.
First, we find the area of the rectange, which is A = l x w = 16 x 12 = 192
Second, we find the area of the first triangle which is also equal to the area of the second triangle, so instead of finding the base times height and dividing by 2, we will simply find the area of base times height and it will work for both trianges.
A = b x h x 1/2 x 2 = 10 x 12 = 120
120 + 192 = 312 cm^2
Pythagoras and trigonometry
Answer:
4√13 or 14.422
Step-by-step explanation:
we can use the pythag theorem to figure out the length of a. Since a is the hypotenuse it would be 12 squared + 8 squared = a squared
144+64=208
the square root of 208 is 4√13 or 14.422
Given (-1,5) and (-1,2) are solutions to the following
inequality. What symbol goes in the square?
Answer:
C. ≥
Step-by-step explanation:
32.323232 as a fraction in simplest form
Let x = 32.323232…
Then 100x = 3232.323232…
It follows that
100x - x = 3232.323232… - 32.323232…
99x = 3200
x = 3200/99
PLEASE HELP ME!
Use the pythagorean theorem to find the value of the length of the missing sides. Round decimals to two decimal places, please.
Answer: the answer would be 8.94
Step-by-step explanation:
I hope this helps! :)
Im sorry if it turns out to be wrong!
Have a good rest of your day!
If you buy three of the ABC bonds with $10 commission for each, how much will it cost?
a. $3142.50
b
$1047.50
c. $3172.50
d. $1077.50
Answer:
The computation shows that the cost of each bond is A. $3142.50
How to solve the cost?
From the complete information given, the price of the bond is given as $2856.80 each.
Therefore, with the commission, the price will be:
= $2856.80 + (10% × $2856.80)
= $2856.80 + $285.68
= $3142.50
In conclusion, the cost of each bond is $3142.50.
Step-by-step explanation:
or b
Keri and Samantha are equally splitting the cost of party supplies for their mom's surprise birthday party. The total cost of the party supplies was $316. How much money did they each spend?
If the cost of the party supplies was $316. Then the amount of money spent by each of them is $158.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
Keri and Samantha are equally splitting the cost of party supplies for their mom's surprise birthday party.
The total cost of the party supplies was $316.
Then the money spent by each of them will be
[tex]\rightarrow \dfrac{316}{2}\\\\\rightarrow 158[/tex]
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If f(1) = 3 and f(n) = f(n - 1)2 + 5 then find the value of f(4).
Answer:
f(4) = 59
Step-by-step explanation:
Given:
f(1) = 3
f(n) = f(n-1)2 + 5
Idea:
We want to find the value of f(4), so let's substitute n with 4.
f(n) = f(n-1)2 + 5
f(4) = f(4-1)2 + 5
f(4) = f(3)2 + 5
We see that we have to evaluate f(3) before we can calculate f(4).
So let's try to calculate f(3).
f(3) = f(3-1)2 + 5
f(3) = f(2)2 + 5
Again we have to calculate f(2) before we can calculate f(3). So what do we do?
Calculations:
The best approach is to start from the bottom. First let calculate the value of f(2) and then f(3) and finally f(4).
f(1) = 3 (this was given)
f(2) = f(2-1)2 + 5
= f(1)2 + 5 (this time we know the value of f(1)!)
= 3 × 2 + 5
= 6 + 5
= 11
f(3) = f(3-1)2 + 5
= f(2)2 + 5 (we calculated f(2) in the previous step: f(2) = 11)
= 11 × 2 + 5
= 22 + 5
= 27
f(4) = f(4-1)2 + 5
= f(3)2 + 5
= 27 × 2 + 5
= 51 + 5
= 59
Nathan gave the answer shown to the following question. True or False? All right triangles have two sides of the same length. How do you respond to Nathan's Reasoning?
-Please answer fast!
Answer:
False.
Explanation:
Right triangle cannot have two sides equal which would make them isosceles triangle, having two sides and two angles equal. They cannot be a right angle triangle then. Hence disapprove with Nathan's viewpoint.
The table shows information about the
heights, in cm, of a group of Yr 11 girls.
height (cm)
least height
143
median
165
159
lower quartile
interquartile range
8
Complete the boxplot for this information.
range
33
i dont know where i am going wrong!
The value of the whisker on the left is 143.
The value of the first line on the box is 159.
The value of the line in the middle of the box is 165
The value of the third line in the box is 167.
The value of the whisker on the left is 176.
What are the values needed to complete the boxplot?A box plot is used to study the distribution and level of a set of scores. The box plot has two whiskers. The whisker on the left represents the minimum value and the whisker on the right represents the maximum value.
The first line on the box to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Maximum value = range + minimum value
143 + 33 = 176
Upper quartile = lower quartile + interquartile range
159 + 8 = 167
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Which is more, 8 pints or 13 cups?
Answer:
8 pints
Step-by-step explanation:
A pint is 16 ounces = 2 cups
8 pints is then 16 cups
A baseball player hits a pitched ball when it is 4 ft above the ground. The initial upward velocity is 80 ft/s. How
long will it take for the ball to hit the ground?
Answer:
t=+4.06
Step-by-step explanation:
when the baseball hits the ground, the height will be 0.
h=0we are given that h=−16t2+64t+4.
this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.
since time cannot be negative, only the positive value can be taken.
this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.
