Rounding to the nearest whole dollar, we get a predicted sales revenue of $290 for Saturday.
To calculate the 95% interval for the slope on "Cashiers", we need to use the t-distribution with n - k - 1 degrees of freedom, where n is the number of observations and k is the number of predictors (excluding the intercept).
In this case, n = 50 and k = 6, so the degrees of freedom is 43.
The standard error of the slope coefficient for "Cashiers" is given by SE = 4.049, and the t-statistic for a 95% confidence interval with 43 degrees of freedom is approximately 2.016.
Therefore, the margin of error for the slope coefficient is ME = 2.016 * 4.049 = 8.17.
To calculate the lower and upper bounds of the 95% confidence interval, we can use the formula:
lower bound = b1 - ME
upper bound = b1 + ME
where b1 is the coefficient for "Cashiers" from the regression output, which is 41.943.
Plugging in the values, we get:
lower bound = 41.943 - 8.17 = 33.77
upper bound = 41.943 + 8.17 = 50.11
Therefore, the 95% interval for the slope on "Cashiers" is (33.77, 50.11), rounded to two decimal places.
To predict sales for Saturday when the average temperature is 80 degrees, 8 cashiers are working, and $5250 worth of coupons are redeemed, we need to use the regression equation:
Y = b0 + b1 * X1 + b2 * X2 + b3 * X3 + b4 * X4 + b5 * X5 + b6 * X6 + e
where Y is the daily sales revenue, X1 is the average temperature,
X2 is the number of cashiers,
X3 is the total amount of coupons redeemed,
X4 is a binary variable for Sunday,
X5 is a binary variable for Tuesday,
X6 is a binary variable for Thursday, and e is the error term.
Plugging in the values, we get:
Y = -338.41 + 0.5487 * 80 + 41.943 * 8 + 0.07286 * 5250 + 0 + 0 - 139.15 + 0 + e
Y = 289.78 + e.
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Approximate, in square meters, the area of a circle with radius = 58.2 m. (Round your answer to three decimal places.)
Answer:
10,635.934 m^2
Step-by-step explanation:
The formula for area of a circle is π r² (pi ⋅ radius ⋅ radius)
According to the word problem, 58.2 is the radius.
Now that we know the radius, we have our final equation:
pi ⋅ radius ⋅ radius
(3.14 IS USED FOR PI)
3.14 ⋅ 58.2 ⋅ 58.2 = 10,635.9336
10,635.9336 rounded to the three decimal places (to the nearest thousandth): 10,635.934
Therefore, the area of this circle in square meters is 10,635.934 m^2.
QUESTION IN PIC
CORRECT ANSWER GETS BRAINEST
Answer: 0.8333
Step-by-step explanation:
Despite booming new car sales with their cha-ching
sounds, the average age of vehicles on roads is not
going down. The bar graph shows the average price of
new cars in Country A and the average age of cars o
roads for two selected years. In 2014, the average price
of a new car was $37,600. For the period shown, new-
car prices increased by approximately $1250 per year.
If this trend continues, how many years after 2014 will
the price of a new car average $47,600? In which year
will this occur?
How many Years after 2014 will the average price of new cars average $47,00?
I provided a Picture for the graph! Thanks a ton!
Answer to the 1st question: 8 years
Answer to the 2nd question: The year 2022
=======================================================
Further explanation:
x = number of years after 2008
y = average price of a new car
The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.
The y intercept is b = 30100 as this is the price in 2008.
This leads us to go from y = mx+b to y = 1250x+30100
Plug in x = 0 and you should get y = 30100.
Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.
-----------------
Next, we plug in y = 47600 and solve for x.
y = 1250x+30100
47600 = 1250x+30100
47600-30100 = 1250x
17500 = 1250x
1250x = 17500
x = 17500/1250
x = 14
This means 14 years after the year 2008 is when the average new car price will be $47,600.
2008+14 = 2022
2022-2014 = 8
Therefore, 8 years after 2014 (aka the the year 2022) is when the new car average price will be $47,600.
Can someone explain to me how to do this it’s my sister homework and I don’t know how to help her
Answer:
a. false
b.true
c.false
d.true
e.true
Answer:
False, True, False, True True.
Step-by-step explanation:
Each of these can be checked on a scientific calculator. If you haven't got one there are a lot on-line.
Part e is a bit tricky.
You do it as follows.
√(4/9) = √4 / √9 = 2/3
∛(8/27) = ∛8 / ∛27 = 2/3 So this is True.
Susan is running a 5k race. The graph of distance vs. time is shown.
What interval is she running the fastest?
The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
Given data ,
Susan is running a 5k race. The graph of distance vs. time is shown
So , the slope of the first line is m₁
And , the slope of the second line is m₂
where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )
Now , slope of AB is
m₁ = ( 3/10 ) = 0.3
And , m₁ = 0.3 kilometers per minute
And , slope of BC is
m₂ = ( 4 - 3 ) / ( 20 - 10 )
m₂ = 1/10
m₂ = 0.1 kilometers per minute
Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )
Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
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Kari is saving money to buy a car. To purchase the car that she wants she will need to have at least a $5000 down payment. If Kari
makes $500 a month, how many months must she save, assuming that she saves 50% of her income each month?
A
A)
10 months
B)
19 months
C)
20 months
D)
21 months
Answer:
C ) She needs to save AT LEAST 20 months
Step-by-step explanation:
Half of her income each month is $250
m= months
250m ≥ 5000
m≥ 20
On a number line, between which two consecutive whole numbers would the square root of 80 be located? A 7 and 8 B 10 and 11 C 9 and 10 D 8 and 9
Answer:
D. between 8 and 9
Step-by-step explanation:
8*8= 64 9*9=81
80 is between 64 and 81.
help pls
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
Answer:
Step-by-step explanation:
please help! (listing BRAINLIST and giving points) :)
Answer:
\(x=7.8\)
Step-by-step explanation:
In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse.
The angle marked 33 degrees has its opposite side labelled with \(x\) and the hypotenuse of the triangle labelled with 12.
Thus, we can set up the following equation to solve for \(x\):
\(\tan 33^{\circ}=\frac{x}{12},\\x=12\tan 33^{\circ}=7.79289111837\approx \boxed{7.8}\)
Answer:
Step-by-step explanation:
tan(33°) = x/12
x = 12tan(33°) ≈ 7.79
please help me solve this problem
The features related to vectors are listed below:
Case A: u' = (- 4√41 / 41, - 5√41/ 41)
Case B: Tip coordinantes of vector v: (x, y) = (10, 10)
Case C: r = 11.402
How to determine vectors
In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.
Case A - Unit vector
Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:
u' = u / ||u||
Where:
u' - Unit vector.u - Vectoru - ||u|| - Magnitude of the vector.Please notice that the magnitude of the vector is determined by Pythagorean theorem:
r = √[(Δx)² + (Δy)²]
Where:
r - MagnitudeΔx - Change in the x-direction.Δy - Change in the y-direction.Thus, the unit vector of u is:
u' = (- 4, - 5) / √[(- 4)² + (- 5)²]
u' = (- 4, - 5) / √41
u' = (- 4 / √41, - 5 / √41)
u' = (- 4√41 / 41, - 5√41/ 41)
Case B - Definition of a vector
This can be found easily by vector subtraction:
v = Tip coordinates - Base coordinates
(3, 4) = (x, y) - (7, 6)
(x, y) = (3, 4) + (7, 6)
(x, y) = (10, 10)
Case C - Magnitude of a vector
The magnitude is found by means of Pyhtagorean theorem:
r = √[(- 4 - 3)² + (- 5 - 4)²]
r = √[(- 7)² + (- 9)²]
r = 11.402
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Suppose that X1,..., Xn are a random sample from a from a lognormal distribution with unknown parameters. Construct a 95% confidence interval for the parameter μ . Use a Monte Carlo method to obtain an empirical estimate of the confidence level
Output:
2.5% 97.5%
0.9804272 1.0195226
How to solve in RTo estimate the confidence level using R, you will need to perform a statistical test and calculate the confidence interval. Here is a step-by-step guide:
Import your data into R using the read.table or read.csv function.
Determine which statistical test is appropriate for your data. For example, if you are comparing two means, you would use a t-test.
Perform the statistical test using the appropriate function in R. For example, to perform a t-test, you would use the t.test function.
Extract the confidence interval from the results of the statistical test. The confidence interval is typically displayed as part of the output of the statistical test function.
The attached image below shows the R code that is used to form a lognormal distribution using unknown parameters.
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PLS HELP :( WILL GIVE BRAINLIEST+ 25 POINTS
Answer:
The answer is A i just took the test and made a 100
Step-by-step explanation:
-3w-4+5w=32 what is the solution?
Answer:
w = 18
Step-by-step explanation:
Step 0: Set up the equation
=> -3w - 4 + 5w = 32
Step 1: Move the same variable together
=> -3w + 5w = 32 + 4
Step 2: Add up and simplify
=> 2w = 36
Step 3: Divide both by 2
=> w = 18
Answer:
W=18
Step-by-step explanation:
-3w-4+5w=32
-3w+5w-4=32
2w-4=32
2w=32+4
2w=36
W=18
what is the definition of corresponding sides
Answer:
Corresponding sides touch the same two angle pairs.
Step-by-step explanation:
Answer:
In a pair of similar triangles, the corresponding sides are proportional. Corresponding sides touch the same two angle pairs.
When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.
Please help me with this
Answer:
A = (4, -2)
B = (-2, -2)
C = (-2, 2)
Please Brainliest! It wuld help out a lot..
Danielle wants to paint a ceramic planter. The total price is the cost of the
planter plus an hourly painting rate of $6. Determine how many hours Danielle
painted if she spent $9 on the planter and her total bill was $33.
Answer:
4 hours
Step-by-step explanation:
Danielle spent 4 hours painting. You can get this answer by subtracting how much money she spent on the pot from the total bill. This gets you 24. Then you divide this by 6, the amount of money if costs to paint an hour, which gets you 4.
Maria Reynolds deposits $700.00 onto her new savings account at a
Bank of America. She makes no other deposits or withdrawals. The
account pays annual interest rate is 6.7%. Interest is calculated every 3
months. How much simple interest does her money earn?
Answer:
it its in a year it is 14070
Step-by-step explanation:
find the non permissible replacement for (x ^ 2 + 1)/(2x + 10)
Reason:
We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,
2x+10 = 0
2x = -10
x = -10/2
x = -5
Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.
Determine the equation of the circle graphed below.
screenshot is below - from delta math
Answer:
\(\displaystyle \large{(x-5)^2+(y-2)^2=25}\)
Step-by-step explanation:
Given:
Center = (5,2)Endpoint = (8,6)First, find radius via distance between center and endpoint. The formula of distance between two points is:
\(\displaystyle \large{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\)
Determine:
\(\displaystyle \large{(x_1,y_1)=(5,2)}\)\(\displaystyle \large{(x_2,y_2)=(8,6)}\)Hence:
\(\displaystyle \large{\sqrt{(8-5)^2+(6-2)^2}}\\\displaystyle \large{\sqrt{(3)^2+(4)^2}}\\\displaystyle \large{\sqrt{9+16} = \sqrt{25} = 5}\)
Therefore, the radius is 5.
Then we can substitute center and radius in circle equation. The equation of a circle is:
\(\displaystyle \large{(x-h)^2+(y-k)^2=r^2}\)
Our center is at (h,k) which is (5,2) and radius beings 5.
Hence, your answer is:
\(\displaystyle \large{(x-5)^2+(y-2)^2=25}\)
For the graph, name the parent function and write an equation of the graph.
This is a transformation of the parent square root function, and it can be written as:
f(x) = √(-x + 4) - 2
Which is the parent function graphed?
It is ratter easy to identify the shape of the general square root function:
f(x) = √x
The only difference is that now it opens to the left, and it starts at the point (4, -2)
Then:
The sign of the x must be negative.
And with the known vertex we can write the equation:
f(x) = √(-x + 4) - 2
That is the graphed function.
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if you toss a die once, consider the two events , you get a 5 OR 6. YOU GET AT MOST 3. are these events independent, explain WHY OR WHY NOT
Answer: These events are independent.
Step-by-step explanation:
Two events are considered independent if the outcome of one event does not affect the outcome of the other event. In this case, getting a 5 or 6 on a dice toss and getting at most 3 on a dice toss are independent events.
This is because the probability of getting a 5 or 6 is 2/6 or 1/3, which is completely unrelated to the probability of getting at most 3, which is 3/6 or 1/2. The outcome of getting a 5 or 6 does not affect the probability of getting at most 3, and vice versa. Therefore, these events are independent.
PLEASE HELP ME I WILL GIVE YOU 5 STAR RATING A THANKS AND BRAINLIEST RATINGGGGG
Answer:
It's the third choice.
Step-by-step explanation:
IF y varies inversely as x then y = k/x where k is a constant,
and k = xy
For the 3rd choice
-1 * -2/7 = 2/7
4 * 1/14 = 2/7 and
6 * 1/21 = 2/7
so, this is inverse variation.
In the similar triangles below , what is the measure of D
The measure of angle D is 45°
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. When two triangles are similar, the corresponding angles are equal.
And also the ratio of corresponding sides of similar triangles are equal.
To know the corresponding angles
side AC is corresponding to side EF, therefore angle D is congruent to angle A
angle D = 45°
OR , we can use the sum of angles In a triangle , which is 180°
angle D = 180 -( 72+63)
= 180 - 135
= 45°
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Rosa is ordering a submarine sandwich from the corner deli. The deli
charges $6.25 for a 7-inch sub. Some additional toppings cost extra. Rosa's
sandwich with two extra toppings costs $7.75. What is the cost per additional
topping?
Answer:
75 cents
Step-by-step explanation:
trust me pls and id its wrong i will paypal u 75 cents
Please help solve this for me
Answer:
i believe the answer would be option D
Step-by-step explanation:
Solve for the value of q
Answer:
\(q=45\)
Step-by-step explanation:
Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:
\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)
if 8 out of 40 people over the age 95 are female, how many are male?
Answer:
32
Step-by-step explanation: (40-8=32) There are 32 male's
Answer:
32
Step-by-step explanation:
8 out of 40 people is a ratio of 20 %
32 out of 40 people is a ratio of 80%
Therefore it would be 32 people are males. :D
Hope this helps
b) How many times would you expect the
spinner to land on a shaded section if it were
spun 40 times?
The number of times the spinner lands on a shaded section are 8 times.
What is the probability?
Probability is the branch of mathematics concerned with numerical descriptions of the likelihood of an event occurring or of a proposition being true.
We have,
2 Shaded sections are on a spinner,
8 unshaded sections are on a spinner,
10 total sections are on a spinner,
Therefore,
The probability of the spinner to land on a shaded section:
P = 2 ÷ 10 = 1 ÷ 5
consider x, the number of times the spinner lands on a shaded section.
If the spinner were spun 40 times:
so, \(\frac{x}{40} = \frac{1}{5}\)
By cross multiplying we get,
5x = 40
x = 8
Hence, the number of times the spinner lands on a shaded section are 8 times.
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Simplify remove all perfect squares from inside the square root assume b is positive
Answer:
Step-by-step explanation:
You take items out of a square root if you have a pair of numbers or if you know the square root.
\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)
So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3
Now for the b's for every pair there are, you can take that out. There are 3 pairs of b's so b³ is outside and one b is left inside.
Answer:
4b³\(\sqrt{3b}\)
question 10 we hypothesize that there is a relationship between mathematics anxiety and statistics performance. we administer a math anxiety scale to 12 students in a statistics class and then collect their scores from the first course quiz. use the data given here to compute r. choose which statement is the best conclusion given your computations result. math anxiety quiz student score score a 2 10 b 13 3 c 12 4 d 10 6 e 8 8 f 3 10 g 7 5 h 6 10 i 9 6
what is the value of the correlation coefficient you calculated?
To calculate the correlation coefficient between math anxiety and statistics performance, we can use the Pearson correlation coefficient formula. Therefore, the correlation coefficient between math anxiety and quiz scores is 0.474.
The formula for calculating Pearson's correlation coefficient is:
r = (NΣXY - ΣXΣY) / sqrt((NΣX^2 - (ΣX)^2) * (NΣY^2 - (ΣY)^2))
where N is the number of pairs of scores, ΣXY is the sum of the products of paired scores, ΣX is the sum of the X scores, ΣY is the sum of the Y scores, ΣX^2 is the sum of the squared X scores, and ΣY^2 is the sum of the squared Y scores.
Using the data given in the question, we can compute the correlation coefficient between math anxiety and quiz scores as follows:
N = 12
ΣX = 72
ΣY = 62
ΣXY = 464
ΣX^2 = 760
ΣY^2 = 492
Plugging these values into the formula, we get:
r = (12464 - 7262) / sqrt((12760 - 72^2) * (12492 - 62^2))
r = 0.474
Now, to interpret this result, we need to look at the magnitude and direction of the correlation coefficient. A correlation coefficient can range from -1 to 1, with a value of 0 indicating no correlation, a positive value indicating a positive correlation, and a negative value indicating a negative correlation. The magnitude of the correlation coefficient indicates the strength of the relationship, with values closer to -1 or 1 indicating a stronger relationship.
In this case, a correlation coefficient of 0.474 indicates a moderate positive correlation between math anxiety and quiz scores. This means that as math anxiety increases, quiz scores also tend to increase, but not necessarily in a linear way.
Therefore, the best conclusion given our computed result is that there is a moderate positive correlation between math anxiety and statistics performance, suggesting that students with higher levels of math anxiety may still perform well on statistics quizzes, but their performance may be slightly affected by their anxiety levels.
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