#5 Option B
y=(5/4)(4)
= 20/4
=5
#6 Option B
y=2(1)
=2
A pizza lover wants to compare the average delivery times for four local pizza restaurants. Over the course of a few weeks, he orders a number of pizzas from each restaurant, and he records the time it takes for each pizza to be delivered.
a) When performing an ANOVA with this data, what is the alternative hypothesis?
- All of the restaurants have different mean delivery times
- At least two of the restaurants have different mean delivery times
- Two of the restaurants have different mean delivery times
- One of the restaurants has a different mean delivery time than the others
b) A partial ANOVA table for his data is shown below. What is the value of B?
Source DF SS MS F P-value
Treatment B 19.31 D F G
Error C 15.667 E
Total 18 34.977
What is the value of C in the ANOVA table?
d) What is the value of D in the ANOVA table? Give your answer to three decimal places.
e) What is the value of E in the ANOVA table? Give your answer to three decimal places.
f) What is the value of F in the ANOVA table? Give your answer to two decimal places.
g) What is the value of G in the ANOVA table? Give your answer to four decimal places.
h) Using a 0.1 level of significance, what should his conclusion be in this case?
- He should conclude that at least two of the restaurants have different mean delivery times because the P-value is less than 0.1.
- He should fail to reject the claim that at all of the restaurants have the same mean delivery times because the P-value is greater than 0.1.
- He should conclude that at least two of the restaurants have different mean delivery times because the P-value is greater than 0.1.
- He should conclude that at all of the restaurants have the same mean delivery times because the P- value is less than 0.1.
(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.
(b)75.8
Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.
The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.
It is given that a pizza lover wants to compare the average delivery times.
Therefore the null hypothesis and alternate hypothesis implies that,
H₀ = all restaurants have equal mean delivery time
Hₐ = at least two restaurants have different two deliveries
Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.
The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.
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Rewrite the quadratic function In standard form Y=6(x-7)(x+2)
Answer: Y=6x2−30x−84
Step-by-step explanation:
Answer:
See below, please.
Step-by-step explanation:
The quadratic function in standard form would be
Y = 6x^2 - 24x - 84
To convert the quadratic function from factored form to standard form, we use the distributive property to multiply out the factors
Y = 6(x-7)(x+2)
Y = 6(x^2 + 2x - 7x - 14)
Y = 6(x^2 - 5x - 14)
Then, we simplify the equation by multiplying out the coefficient of x^2 and combining like terms
Y = 6x^2 - 30x - 84
Finally, we write the quadratic function in standard form by arranging the terms in descending order of degree
Y = 6x^2 - 30x - 84
87 is what percent of hundred
It should be 87% cz 87/100
Pls help and explain!!!
Answer:
$140
Step-by-step explanation:
"the same" means when the two lines intersect. that is the only point where they will be earning the same amount of money
Answer: they will have 10 dollars
Step-by-step explanation:
10
05
15
20
25
60
30
35
40
55
45
50
Which of the following represents the Inter-Quartile Range of data?
A. 26
B. 50
C. 56
D. 10
E. 16
The value that represents the Inter-Quartile Range of data is 26.
Option A is the correct answer.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
From the boxplot, we can see that,
Third quartile = 46
First quartile = 20
Now,
Interquartile range
= Third quartile - First quartile
= 46 - 20
= 26
Thus,
The value that represents the Inter-Quartile Range of data is 26.
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Using the numbers and symbols, solve 7x = 42
Answer:
you currently have the value of x × 7, you need to divide it by 7 to find the value of x.
42 ÷ 7 = 6
Step-by-step explanation:
a farmer has some land on which she plans to grow wheat and corn. each acre of wheat requires 4 hours of labor and $20 of capital, and each acre of corn requires 16 hours of labor and $40 of capital. the farmer has at most 800 hours of labor and $2400 of capital available. if the profit from an acre of wheat is $80 and from an acre of corn is $100, what is her maximum profit? round your answer to the nearest whole number. do not include a dollar sign in your answer.
The maximum profit is $5000, which can be achieved by planting 50 acres of corn and 0 acres of wheat.
This is a linear programming problem that can be solved using the simplex method. We can define two decision variables
x1: the number of acres of wheat to be planted
x2: the number of acres of corn to be planted
The objective is to maximize the profit, which can be expressed as
maximize 80x1 + 100x2
The constraints are:
4x1 + 16x2 <= 800 (limit on labor hours)
20x1 + 40x2 <= 2400 (limit on capital)
x1, x2 >= 0 (non-negativity constraint)
We can rewrite the constraints in the form of inequalities:
x2 <= 50 - 0.25x1
x2 <= 60 - 0.5x1
x1, x2 >= 0
The first two constraints are derived by dividing the labor and capital constraints by the respective coefficients of x2 and x1.
The feasible region is bounded by the x-axis, y-axis, and the two lines given by the above inequalities. It is a convex polygon with vertices at (0,0), (0,50), (20,30), and (40,0).
To find the maximum profit, we need to evaluate the objective function at each vertex of the feasible region and choose the one with the highest value. This can be done as follows
At (0,0), the profit is 0.
At (0,50), the profit is 5000.
At (20,30), the profit is 3400.
At (40,0), the profit is 3200.
Therefore, the maximum profit is $5000
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Simplify (step by steps, thanks!)
The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).
To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.
Let's start with the first fraction's denominator:
x² + x - 6
We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:
x² + x - 6 = (x + 3)(x - 2)
Now let's factor the second fraction's denominator:
x² - 6x + 8
We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:
x² - 6x + 8 = (x - 2)(x - 4)
Now we can rewrite the original expression with a common denominator:
(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))
Next, we can simplify the numerator:
(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))
(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))
Finally, we can't simplify this expression any further. Therefore, the simplified expression is:
(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))
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I need this question help
Step-by-step explanation:
RU is a median.
so, U is right in the middle between S and T.
and therefore, SU = UT.
3x + 5 = 5x - 7
12 = 2x
x = 6
so, SU = UT = 3×6 + 5 = 18 + 5 = 23 in.
therefore, ST = 2×23 = 46 in.
furthermore, the centroid splits every median with the ratio 2/1.
so, RQ = 2×QU.
RQ = 5 IN, therefore QU = RQ/2 = 5/2 = 2.5 in.
and RU is then 5 + 2.5 = 7.5 in.
for QV we need to go the other way around.
we know SV = 12 in.
and Q splits it also in the ratio 2/1.
that means we deal with 2+1=3 parts of the median.
SQ gets 2 of these parts, and QV gets 1 of these parts.
12/3 = 4 in power unit.
so,
SQ = 2×4 = 8 in.
QV = 1×4 = 4 in.
I believe your teacher made a mistake with the SU and UT definitions.
because ST is almost 4 times the length of the median SV.
and RU is even shorter than SV.
so, as SU = 23 in, V must be far left of U. and R must be left of U but right of V !
this is an impossible triangle.
earth is 93 million miles from the sun, while mars is 142 million miles from the sun. Theoretically, what is the closest distance mars could be to earth
Answer:
169.74
Step-by-step explanation:
this problem is like a triangle, the sun, mars, and earth are the three points, so you just use a^2 + b^2 = c^2 so basically
93^2 + 142^2 = c^2
8649 + 20164 = 28813
28813 square root = 169.74
Find an explicit solution of the given IVP. x² dy/dx =y-xy, y(-1) = -1
The explicit solution to the IVP is:
y = (1-x) * 2e^(x^3/3-1/3) or y = (x-1) * (-2e^(x^3/3-1/3))
To find an explicit solution to the IVP:
x² dy/dx = y - xy, y(-1) = -1
We can first write the equation in standard form by dividing both sides by y-xy:
x^2 dy/dx = y(1-x)
Next, we can separate the variables by dividing both sides by y(1-x) and multiplying both sides by dx:
dy / (y(1-x)) = x^2 dx
Now we can integrate both sides. On the left side, we can use partial fractions to break the integrand into two parts:
1/(y(1-x)) = A/y + B/(1-x)
where A and B are constants to be determined. Multiplying both sides by y(1-x) gives:
1 = A(1-x) + By
Substituting x=0 and x=1, we get:
A = 1 and B = -1
Therefore:
1/(y(1-x)) = 1/y - 1/(1-x)
Substituting this into the integral, we get:
∫[1/y - 1/(1-x)]dy = ∫x^2dx
Integrating both sides, we get:
ln|y| - ln|1-x| = x^3/3 + C
where C is a constant of integration.
Simplifying, we get:
ln|y/(1-x)| = x^3/3 + C
Using the initial condition y(-1) = -1, we can solve for C:
ln|-1/(1-(-1))| = (-1)^3/3 + C
ln|-1/2| = -1/3 + C
C = ln(2) - 1/3
Therefore, the explicit solution to the IVP is:
ln|y/(1-x)| = x^3/3 + ln(2) - 1/3
Taking the exponential of both sides, we get:
|y/(1-x)| = e^(x^3/3) * e^(ln(2)-1/3)
= 2e^(x^3/3-1/3)
Simplifying, we get two solutions:
y/(1-x) = 2e^(x^3/3-1/3) or y/(x-1) = -2e^(x^3/3-1/3)
Therefore, the explicit solution to the IVP is:
y = (1-x) * 2e^(x^3/3-1/3) or y = (x-1) * (-2e^(x^3/3-1/3))
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Libby donated $50 during the first month of the year. If she makes three additional donations of equal amounts during the year, how much will she need to donate each time to be in the Silver category?
Answer:
She will donate P-50/3 each time
Step-by-step explanation:
Now assuming total donation needed to be in the silver category Is P
We can assume also the three additional and equal donations be Q
So
Then 50 + 3Q = P
So we still don't know P
We can get Q by saying
3Q= P - 50
Q = (P - 50) /3
The carbon cycle is nature's way of reusing carbon atoms, which travel from the atmosphere into organisms in the earth and then back into the atmosphere over and over again. most carbon is stored in rocks and sediments, while the rest is stored in the ocean, atmosphere, and living organisms. evaluate the carbon cycle model. predict the changes that would occur within the carbon cycle as a result of deforestation. choose all that apply.
The carbon cycle is a natural process that involves the movement of carbon atoms between the atmosphere, organisms, rocks, sediments, and the ocean.
The carbon cycle is a crucial process for maintaining the balance of carbon in the Earth's ecosystems. Carbon dioxide (CO2) is taken up by plants during photosynthesis, converting it into organic carbon compounds that are stored in plant tissues. When plants die and decompose, or when animals respire or decompose, carbon is released back into the atmosphere as CO2. Additionally, carbon can be stored in rocks and sediments over long periods of time.
Deforestation, the clearing of forests on a large scale, can significantly disrupt the carbon cycle. When forests are cut down, the stored carbon in trees and vegetation is released into the atmosphere as CO2 through the process of decomposition or burning. This contributes to increased greenhouse gas emissions and can contribute to climate change.
Furthermore, deforestation reduces the number of trees available to absorb CO2 through photosynthesis, leading to decreased carbon uptake from the atmosphere. The loss of forests also means the loss of carbon sinks, as trees are natural carbon storage systems. Without these sinks, more carbon remains in the atmosphere, further exacerbating the greenhouse effect.
In addition to these changes, deforestation can also impact the water cycle, which in turn affects the carbon cycle. Trees play a vital role in regulating water flow and moisture levels in ecosystems. When forests are removed, there is a higher risk of soil erosion and decreased water retention. These changes can affect the growth and survival of plants, ultimately impacting carbon uptake and storage.
In summary, deforestation disrupts the carbon cycle by releasing stored carbon into the atmosphere, reducing carbon uptake, and altering carbon storage patterns. These changes contribute to increased greenhouse gas emissions, climate change, and overall environmental imbalance.
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A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Answer:
$430.90Step-by-step explanation:
Given that the principal p= $290
rate r= 2.2% 2.2/100 =0.022
time t= 18years
by applying the expression
\(V = Pe^{rt}\)
We have
\(V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90\)
Hence after 18years the money in the account will be $430.90
the time required to do a job varies inversely as the number of people working. it takes 5hr for 7 bricklayers to build a park well. how long will it take 15 bricklayers to complete the job? (round answer to 1 decimal place)
The time to complete 15 bricklayers is 3.5 hours
How to calculate time taken?
The ratio of an object's traveled distance to its constant speed is known as the time formula. Time describes how things happen in time. The order of this movement is such that it moves from the past to the present and then into the future.
The first step is to calculate the constant proportionality
t ∝ 1/n
t = k/n
Where t = time, K= constant and n = number of people
t = k/n
k =tn
= 5×7 = 35
∴t = 35/n
for n = 10,
t = 35/10
t = 3.5 hours.
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The BLS uses sampling for its National Compensation Survey to report employment costs. In its second stage of sampling, it divides employers by size. What type of sampling is this
The type of sampling used by the BLS (Bureau of Labor Statistics) for its National Compensation Survey, where employers are divided by size in the second stage of sampling, is known as stratified sampling.
Stratified sampling involves dividing the population into subgroups or strata based on certain characteristics or criteria. In this case, the BLS divides the employers into different size categories. Within each stratum, a sample is then randomly selected to represent that specific subgroup. This approach allows for a more precise estimation of employment costs within each size category. By using stratified sampling, the BLS ensures that the sample is representative of the different employer sizes and allows for more accurate and reliable estimates of employment costs at a national level.
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someone please help me and solve for the unknowns and give reasons please
or can you just solve for the unknowns please
Answer:
Step-by-step explanation:
The angles labeled with 2x, 4x, and 3x are on a straight line so their sum is equal to 180
2x + 4x + 3x = 180 add like terms
9x = 180 divide both sides by 9
x = 20
The angle represented with 3x - 30 and the angle represented with 2x + 10 are alternate and their measurement is same
3x - 30 = 2x + 10 export like terms to same side of the equation
3x - 2x = 10 + 30
x = 40
to find the angles replace x with the value found for each.
Find the distance from the point (1,4) to the line y = 1/3x - 3
Answer:
Step-by-step explanation:
If I'm not mistaken, and I very well could be, this is a calculus problem(?). In order to find the distance without calculus you'd need a point on the given line to use to find the distance in the distance formula. But you don't have a point on the given line, so we can find the shortest distance between the point (1, 4) and the given line using the derivative of the polynomial formed when using the distance formula.
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\) and we have the x and y for x2 (or x1...it doesn't matter which you choose to fill in):
\(d=\sqrt{(1-x)^2+(4-y)^2}\)
but what we find is that we have too many unknowns here, namely, the distance, the x coordinate, and the y coordinate. So we can replace the y coordinate with what y is equal to in terms of the linear equation:
\(d=\sqrt{(1-x)^2+(4-\frac{1}{3}x-3)^2 }\) and simplify:
\(d=\sqrt{(1-x)^2+(7-\frac{1}{3}x)^2 }\)
. No we'll expand each binomial by squaring:
\(d=\sqrt{(1-2x+x^2)+(49-\frac{14}{3}x+\frac{1}{9}x^2) }\)
. Combining like terms gives us
\(d=\sqrt{\frac{10}{9}x^2-\frac{20}{3}x+50 }\)
The distance between the point (1, 4) and the given line will be at a minimum when the polynomial above is at a minimum. We find the value of x for which the polynomial is at a minimum by finding its derivative, setting the derivative equal to 0, and then solving for x. The derivative of the polynomial is
\(\frac{20}{9}x-\frac{20}{3}\)
Setting equal to 0 and getting rid of the denominators gives us
20x - 60 = 0
Solving for x gives us
20x = 60 and x = 3.
That's the value of x that gives us the shortest distance between (1, 4) and the line y = 1/3x - 3. Sub into the distance formula that x value to find the distance:
\(d=\sqrt{(\frac{10}{9})(3)^2-(\frac{20}{3})(3)+50 }\)
which simplifies down, finally, to
x ≈ 6.325 units
Our traits are determined by our genes and these traits are inherited. Where do our genes come from?
A)
our father
B)
our mother
from both parents equally
D)
part from our mother but mostly from our father
Science
What is the image of point (2,4) under
the
translation T-6,1?
Can someone tell me what this is?
Answer:
there's one solution bc the lines have one point in common
No, that does not make sense. When you subtract, you add the opposite. That means you’re adding two positive numbers. When you add two positive numbers, the result is positive.
picture, 20 points and will gibe brainliest..
Answer:
D : reflection over the y-axis followed by a translation to the right one unit
match the following vocabulary
1. the distance around a circle
2. a portion of the circumference of a circle
3. the distance from the center to any point on a circle
4. the distance through the center between points on a circle
5.
the degree measurement of an arc (in reference to its central
angle)
6. an arc which measures less than 180°
7. an arc which measures exactly 180°
arc length
circumference
diameter
minor arc
arc measure
radius
semicircle
The properties of a Circle with their definitions are; As highlighted below
How to identify Properties of a Circle?1) The distance around a circle is called; Circumference
2) A portion of the circumference of a circle is called; Arc Length
3) The distance from the center to any point on a circle is called; Radius.
4) The distance through the center between points on a circle is called; Diameter
5) The degree measurement of an arc (in reference to its central
angle) is called; Arc Measure
6) An arc which measures less than 180° is called; Minor arc
7) An arc which measures exactly 180° is called; Semi Circle
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Select the graph for the solution of the open sentence. Click until the correct graph appears. 4|x| - 1 < -4
Answer:
No solution!
Just turned it in <3
ALGEBRA PROBLEM PLZZ HELP
Answer:
A
Step-by-step explanation:
Answer: C
you have to multiply -3 on each side add do regular equation steps
such as
\(\frac{d-5}{-3\\}\)≥-4*-3
d-5 ≥12
d≥17
What does it mean when they ask if the data distribution is good?
Answer:
data distribution: shows all possible values of data/probability of how often it occurs.
if it is good distribution, the data will be scattered equally in a way which allows you to easily come up with a conclusion upon analysis.
if distribution is poor, the data will not make sense basically.
sorry if this doesn't make sense, i tried to phrase it as best as i could, good luck x
Help! 10 Points not 5!
9514 1404 393
Answer:
18
Step-by-step explanation:
Solve the first for a, then substitute into the second.
a = 27/(5b^2)
Then ...
(27/(5b^2))^2·b = 135
27^2/(5^2·135) = b^3 = 27/125
b = ∛(27/125) = 3/5
a = 27/(5(3/5)^2) = 15
__
The expression of interest is ...
a +5b = 15 + 5(3/5) = 15 +3
a +5b = 18
Please no links because they dont work :).
Answer:
C
Step-by-step explanation:
Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression. For example, the expression 7x(y+3) has three factors: 7 , x , and (y+3) .
Hello how do I answer this question? 1/2 x 3 + 2/3
The answer to the expression is 13/6
How to calculate the solution to the expression given?The expression is
1/2 × 3 + 2/3
Apply the rule of BODMAS
Multiplication comes before addition
1/2 × 3 + 2/3
= 3/2 + 2/3
The LCM of both sides is 6
9 + 4/6
= 13/6
Hence the solution to the expression is 13/6
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