Based on the given scatter plot and writing the equation in slope-intercept form, the equation for the line drawn is y = -10x + 90, and according to this equation, Sidney is predicted to have 20 comic books left at the end of the seventh day.
To write an equation in slope-intercept form for the line drawn on the scatter plot, we need to determine the slope (m) and the y-intercept (b).
From the given scatter plot, we can see that the line starts at the point (0, 90) on the y-axis, and as the number of days increases, the number of comic books left decreases.
Let's choose another point on the line, such as (7, 20), which represents the number of comic books left at the end of the seventh day.
Using these two points, we can calculate the slope (m) as the change in y divided by the change in x:
m = (y₂ - y₁) / (x₂ - x₁) = (20 - 90) / (7 - 0) = -70 / 7 = -10
Now, we can substitute the slope and one of the points (0, 90) into the slope-intercept form equation (y = mx + b) to solve for the y-intercept (b):
90 = -10(0) + b
b = 90
Therefore, the equation for the line that is drawn on the scatter plot is:
y = -10x + 90
To make a conjecture about the number of comic books Sidney will have at the end of the seventh day, we can substitute x = 7 into the equation:
y = -10(7) + 90
y = -70 + 90
y = 20
Based on the equation, we can conjecture that Sidney will have 20 comic books left at the end of the seventh day.
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which of the following is true about the expected value of perfect information?
a. It is the amount you would pay for any sample study.
b. It is calculated as EMV minus EOL.
c. It is calculated as expected value with perfect information minus maximum EMV.
d. It is the amount charged for marketing research.
The expected value of perfect information (EVPI) is calculated as EVwPI minus maximum EMV. It quantifies the value of perfect information in decision-making.
The expected value of perfect information (EVPI) is a concept used in decision analysis. It represents the maximum amount of money an individual would pay to have perfect information about an uncertain event before making a decision.
To calculate EVPI, you start with the expected value with perfect information (EVwPI), which is the expected value when you have complete and accurate information about the uncertain event. Then, you subtract the maximum expected monetary value (EMV) from the EVwPI.
The EMV represents the expected monetary value of the decision without any additional information. By subtracting the maximum EMV from the EVwPI, you are essentially measuring the value of the additional information in terms of monetary gain.
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The population of a small town increased by 3.25 in the last year. What if the town population was 10,400 last year show work
Answer: 33,800
Step-by-step explanation: 10,400 x 3.25 = 33,800
Answer:
14,200 people are now in the town
Step-by-step explanation:
First, find 3.25% of 10,400.
3.25% of 10,400
3.25 × 10,400 = 3,800
Then, add that to 10,400 to get 14,200.
what is the diameter of a hemisphere with a volume of 557 m 3 , 557 m 3 , to the nearest tenth of a meter?
The diameter of the hemisphere with a volume of 557 m³ is approximately 12.8 m, to the nearest tenth of a meter.
The volume of a hemisphere can be calculated using the formula V = (2/3)πr³, where V is the volume and r is the radius. Given that the volume of the hemisphere is 557 m³, we can find the radius by solving for r:
557 = (2/3)πr³
To find the radius, first, we need to isolate r³ by multiplying both sides by 3/(2π):
r³ = (3 * 557) / (2 * π)
r³ ≈ 265.18
Now, take the cube root of both sides to find the radius:
r ≈ 6.4 m
To find the diameter, simply multiply the radius by 2:
d ≈ 2 * 6.4
d ≈ 12.8 m
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Please help with left hand limit problem. When I plug in the values from the bottom graph (left hand limit) into the function I don’t get the same f(x) values as my teacher but 1.9 for the first one
Answer:
Step-by-step explanation:
your picture is blur. can you repost it?
write a subtraction problem involving two positive integers with a negative diffrence.
Hailey is going to paint a wall in her bedroom. The bottom part of the wall is a rectangle (16ft. x 18ft.), and the top part is a triangle (8 ft. high x 18ft. long). What is the total area of the wall?
Answer:
Area of wall = 360 ft²
Step-by-step explanation:
Given:
One part of wall (Rectangle) = 16ft x 18ft
Another part of wall (Triangle) = 8ft x 18ft
Find:
Area of wall
Computation:
Area of wall = Area of rectangle + Area of triangle
Area of wall = (l x b) + (1/2)(b)(h)
Area of wall = (16 x 18) + (1/2)(8)(18)
Area of wall = 288 ft² + 72 ft²
Area of wall = 360 ft²
Simplify the expression to a polynomial in standard form:
(3x2 - 4x – 5)(-2x2 + 2x + 2)
Answer:
- 6\(x^{4}\) + 14x³ + 8x² - 18x - 10
Step-by-step explanation:
Given
(3x² - 4x - 5)(- 2x² + 2x + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
3x²(- 2x² + 2x + 2) - 4x(- 2x² + 2x + 2) - 5(- 2x² + 2x + 2) ← distribute parenthesis
= - 6\(x^{4}\) + 6x³ + 6x² + 8x³ - 8x² - 8x + 10x² - 10x - 10 ← collect like terms
= - 6\(x^{4}\) + 14x³ + 8x² - 18x - 10
Which unit rate corresponds to the proportional relationship shown in the graph
Drag and drop the answer into the box to match the graph with its unit rate
Speed of a slug
Answer:
5/4 8.10.............0.0 5=7=9
A dragster starts from rest and accelerates at 32 m/s2m/s2. how fast is it going after tt = 4.0 secsec?
The dragster, starting from rest and accelerating at 32 m/s², reaches a speed of 128 m/s after 4.0 seconds.
A dragster starting from rest means that its initial velocity is zero. The dragster's acceleration is given as 32 m/s². To determine the speed of the dragster after 4.0 seconds, we can use the equation of motion:
where:
v = final velocity
u = initial velocity (which is 0 m/s since the dragster starts from rest)
a = acceleration (32 m/\(s^2\) in this case)
t = time (4.0 seconds in this case)
Substituting the given values into the formula:
v = 0 + (32 m/\(s^2\))(4.0 s)
v = 0 + 128 m/s
v = 128 m/s
Therefore, the dragster is traveling at a speed of 128 m/s after 4.0 seconds of acceleration.
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a/2 = b/5
Please just help...
Evaluated: a=2b/5 :):):):):):):)
2/5a=b and5 /Answer:
Step-by-step explanation:a=
2b
In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2?
A.
A F:AE
B.
BC:EF
C.
EF:AI
D.
AI:EF
E.
AI:AD
Answer: AI:EF
Step-by-step explanation:
Answer:
D. ) AI:EF
Step-by-step explanation:
PLATO
x-6/2=2x/7 solve the equation
Answer:
x-6/2=2x/7
7x-42=4x
7x-4x=42
3x= 42
X = 42/3
How many solutions are there in the given equation?
y = 2x² + 6x + 4
Step-by-step explanation:
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
2
2
+
6
+
4
=
0
2x^{2}+6x+4=0
2x2+6x+4=0
=
2
a={\color{#c92786}{2}}
a=2
=
6
b={\color{#e8710a}{6}}
b=6
=
4
c={\color{#129eaf}{4}}
c=4
=
−
6
±
6
2
−
4
⋅
2
⋅
4
√
2
⋅
2
x=\frac{-{\color{#e8710a}{6}} \pm \sqrt{{\color{#e8710a}{6}}^{2}-4 \cdot {\color{#c92786}{2}} \cdot {\color{#129eaf}{4}}}}{2 \cdot {\color{#c92786}{2}}}
x=2⋅2−6±62−4⋅2⋅4
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using statistics helps us make decisions based on what kind of evidence?
Using statistics helps us make decisions based on empirical evidence, which is obtained through data analysis and inference.
Statistics provides us with a set of tools and methods to collect, analyze, and interpret data. By applying statistical techniques, we can make decisions based on evidence derived from empirical observations and measurements.
Statistics allows us to summarize and describe data, identify patterns and relationships, and draw conclusions from samples or populations. It helps us quantify uncertainty and assess the strength of evidence supporting different claims or hypotheses.
Decision-making based on statistics involves making inferences about a larger population based on the information available from a sample. By using probability theory and statistical models, we can estimate population parameters, test hypotheses, and make predictions about future events or outcomes.
Statistics provides a systematic and rigorous framework for evaluating evidence and reducing bias in decision-making. It allows us to objectively assess the reliability and validity of information, making decisions that are informed by data-driven analysis rather than intuition or anecdotal evidence.
In summary, statistics helps us make decisions based on evidence obtained through data analysis, enabling us to draw reliable conclusions, quantify uncertainty, and make informed choices in various fields such as business, medicine, social sciences, and more.
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An expression is given that has a value between 4.44.4 and 4.54.5, and where xx represents an integer. \sqrt{x}+\sqrt{x} x + x What is the value of xx?
Answer:
\(x = 5\)
Step-by-step explanation:
Given
\(\sqrt x + \sqrt x = (4.4,4.5)\)
Required
Find x
When the result is 4.4, we have:
\(\sqrt x + \sqrt x = 4.4\)
This gives:
\(2\sqrt x = 4.4\)
Divide both sides by 2
\(\sqrt x = 2.2\)
Square both sides
\(x = 2.2^2\)
\(x = 4.84\)
When the result is 4.5, we have:
\(\sqrt x + \sqrt x = 4.5\)
\(2\sqrt x = 4.5\\\)
Divide both sides by 2
\(\sqrt x = 2.25\)
Square both sides
\(x = 2.25^2\)
\(x = 5.0625\)
So, the value of x is between 4.84 and 5.0625
i.e.
\(x = (4.84,5.0625)\)
The only integer between the above interval is 5.
Hence:
\(x = 5\)
A submarine is cruising at an elevation of
-250/3 meters below sea level, then
descends another 120% meters into the
sea. What is the new location of the
submarine?……NO LINKS
Answer:
Step-by-step explanation:
these are two different questions .
first i solve first
position of submarine= -250/3 meters below see level
height descended=120 % of 250/3=120/100 ×(250/3)=300,00/300=100 m
new location=-250/3+(-100)=-650/3 below see level.
2nd question
position of submarine=-250 2/3=-752/3 m below see level
height descended=120 5/8=965/8 m =-965/8 m below see level
new positin=-752/3+(-965/8)=-(6016+2895)/24=-8911/24=-371 7/24m below sesa level.
math Hw please help?
The nature of triangle SUD is an isosceles triangle.
What is a triangle?A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
Given that, DUK is any triangle. The bisector of angle D cuts UK in N. The parallel to DN drawn through U cuts DK in S.
Here,
DN║SU
∠SUD=∠UDN
∠NDK=∠USD
∠UDN=∠NDK
∠SUD=∠USD
SD=UD
So, triangle SUD is isosceles triangle
Therefore, the nature of triangle SUD is an isosceles triangle.
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Find an nth degree polynomial function with real coefficients satisfying the given conditions.
degree of the polynomial is 3; the zeros of the polynomial are 3 and i; and use f(2) = 25 to find an
Step-by-step explanation:
Our roots are 3, and i so our roots form
will be
\((x - 3)(x - i)\)
Since i is one root, it conjugate, must be the other.
so we have
\((x - 3)(x - i)(x + i)\)
Simplify
\(( {x}^{2} + 1)(x - 3)\)
\( {x}^{3} - 3 {x}^{2} + x - 3\)
So the function is
\(x {}^{3} - 3 {x}^{2} + x - 3\)
Please help me with this question! i will give brainiest if correct! (if you show me how to lol i have no idea how)
Answer:
y(2x² + y) / x(5y² - 6x)Step-by-step explanation:
Simplify the numerator:
1/x² + 2/y = y/(x²y) + 2x²/(x²y) =(2x² + y)/(x²y)Simplify the denominator:
5/x - 6/y² = 5y²/(xy²) - 6x/(xy²) = (5y² - 6x) / (xy²)Simplify the fraction:
(2x² + y)/(x²y) ÷ (5y² - 6x) / (xy²) = (2x² + y)/(x²y) × xy² / (5y² - 6x) =y(2x² + y) / x(5y² - 6x)Jenny can walk ⅕ of a mile in ½ of an hour. If she continues this pace how long will it take her to walk 2 ⅖ miles?
Answer:
6hours
Step-by-step explanation
2 2/5 / 1/5 = 12 or 2.4 / .2 = 12
1/2 * 12 = 6
what is the difference between the domain and the range of a function?
Answer:
The domain is all the x values of a function while the range is all the y values of a function.
Answer:
Step-by-step explanation:
The domain of a function is the set of input (x-) values for which the function is defined. The range is the set of output (y-) values; often there are limitations.
For example, the sine function y = sin x is defined for all real x; for every input x, there is a corresponding output y. The sine function has a limited range in that the minimum value of the sine is -1 and the max is +1. There is no graph above y = -1 or below y = +1.
The Smith's went to a restaurant for dinner. Their bill was $72.35. If Mr. Smith wants to leave a 20% tip, how much is the total bill? Help!!!
Answer:
I think it is 14.47
Step-by-step explanation:
20 percent of 72.35 is 14.47
Answer:
The answer is 86.82$
Step-by-step explanation:
You multiply 72.35 by 0.2 which would equal 14.47$
Then you add 72.35 + 14.47
86.82
Hope this helped
pleaseeee helppppp pleassee 1 min left
Answer:
its the 4th answer
Step-by-step explanation:
Assume the random variable x is normally distributed with mean μ 82 and standard deviation σ= 5, Find the indicated probability P(x< 80)
With a mean of 82 and a standard deviation of 5, the random variable x has a normal distribution. The stated probability is roughly 0.3446, or 34.46%.
To find the probability P(x < 80) for a normally distributed random variable with mean μ = 82 and standard deviation σ = 5, we need to calculate the area under the normal curve to the left of the value x = 80.
We can standardize the variable x using the formula z = (x - μ) / σ, where z is the standard score. In this case, x = 80, μ = 82, and σ = 5, so we have:
z = (80 - 82) / 5 = -2 / 5 = -0.4
Now, we need to find the cumulative probability associated with the z-score -0.4. This represents the probability of obtaining a value less than x = 80.
We may determine the associated cumulative probability using a calculator or a basic normal distribution table.
According to a conventional normal distribution table, the cumulative probability for -0.4 is around 0.3446.
Therefore, P(x < 80) ≈ 0.3446.
So, the indicated probability is approximately 0.3446 or 34.46%.
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What must be added to
2x² - 3 xy + 5yz to get x² - xy + y²
Answer:
-x² + y² + 2xy - 5yzStep-by-step explanation:
"A" must be added to first expression to get the second one:
A + 2x² - 3 xy + 5yz = x² - xy + y²A = ?------------------------
A = x² - xy + y² - (2x² - 3 xy + 5yz) =x² - xy + y² - 2x² + 3 xy - 5yz=-x² + y² + 2xy - 5yzfind the value of x in 4^x=1/16
Answer:
\( x = \frac{1}{64} \)
Step-by-step explanation:
\( \frac{4x}{1} = \frac{1}{16} \)
Then you CROSS MULTIPLY.
WHICH IS.
4x × 16 = 1
64x = 1
Then you divide both sides by coefficient of x which is 64.
\( \frac{64x}{64} = \frac{1}{64} \)
x = 1/64
This is a Desmos question please help me
Answer:
B
Step-by-step explanation:
If the 2 lines were parallel, then
5x - 10 = 70 ( alternate angles )
Add 10 to both sides
5x = 80 ( divide both sides by 5 )
x = 16
For the 2 lines to be parallel then x = 16
Answer:
B.16
Step-by-step explanation:
First I would Make an equation:
For example set (5x-10)=70
Add 10 to both sides:
5x-10+10=70+10
Simplify:
5x=80
Divide both sides by 5:
5x/5=80/5
simplify:
x=16
In conclusion the answer is B.16
HELP THIS IS DUE TODAY.
Answer:
You can try for the first pic x = 2 and 6 and you can try the second pic x = 0 and 3 (The ones that I put missing). If you need any help in them, I will help you out but try half of them by yourself. Hopw this helps, thank you :) !!
Look at the third picture. Maybe that would help you.
A 6ft tall construction worker is standing at the tip of the Burj Khalifa’s shadow. His job is to attach a cable from the tip of the building to where he stands. He notices his shadow is 3ft and the Burj Khalifa is 2720ft tall. How long will the cable need to be?
Please someone help this is due Thursday
The length of the cable needed is 1360ft.
To find the length of the cable needed for the construction worker to attach from the tip of the Burj Khalifa to where he stands, we can use the concept of similar triangles.
Let's represent the length of the cable as "x."
According to the given information, the height of the construction worker is 6ft, and the length of his shadow is 3ft. Similarly, the height of the Burj Khalifa is 2720ft, and the length of its shadow is the unknown variable "x."
We can set up the following proportion based on the similar triangles formed by the construction worker and the Burj Khalifa:
(Length of construction worker's shadow) / (Height of construction worker) = (Length of Burj Khalifa's shadow) / (Height of Burj Khalifa)
Using the values given:
3ft / 6ft = x / 2720ft
Now, we can solve this proportion for "x":
(3/6) * 2720 = x
Simplifying:
(1/2) * 2720 = x
1360 = x
Therefore, the length of the cable needed is 1360ft.
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A construction worker, standing at the tip of the Burj Khalifa’s shadow, must attach a cable from the tip of the building to where he stands. The worker notices that his shadow is 3ft and the Burj Khalifa is 2720ft tall.
In the given question, the worker notices that his shadow is 3ft and the Burj Khalifa is 2720ft tall.
Therefore, the height of the construction worker can be found using the concept of similar triangles, which states that corresponding angles in similar triangles are equal.
Hence, height of the worker can be calculated as (height of the Burj Khalifa / length of its shadow) x length of worker’s shadow = (2720 / 3) x 6
= 2720 x 2
= 5440 feet.
Thus, the length of the cable needed will be the sum of the height of the Burj Khalifa and the height of the construction worker,
which is 2720 + 5440 = 8160 feet.
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A cost of a pair of roller skates was $450. The sales tax was charged at 5%. Find the bill amount.
Hello :D
To work this out you will need to work what 5% of $450 is.
5% = $22.50
$450 - $22.50 = $427.50
The answer is $427.50. I hope this helps :)