In conclusion, none of the given statements are correct based on the information provided.
To determine the correct statement, let's analyze the given information and the regression equation:
The regression equation for estimating the number of customers on a given day is y = 1.03x + 229.4, where x represents the day number and y represents the number of customers served.
We are also given that the restaurant has been making a net profit of $5.82, on average per customer:
Now let's evaluate each statement:
A. On day 7, the owner can expect 15 more customers than she has served on day 6.
To determine the number of customers on day 7, we substitute x = 7 into the regression equation:
y = 1.03(7) + 229.4 = 7.21 + 229.4 = 236.61
So, the number of customers on day 7 is approximately 237, which is not 15 more than the number of customers served on day 6.
Therefore, statement A is incorrect.
B. If the number of customers continues to follow the current trend, the restaurant will make a net profit of $1,377 on day 7.
To calculate the net profit on day 7, we need to multiply the average net profit per customer ($5.82) by the number of customers on day 7:
Net profit on day 7 = $5.82 \(\times\) 237 ≈ $1,379.34
So, statement B is incorrect as the net profit on day 7 is not expected to be $1,377.
C. On day 12, the owner can expect a net profit of $1,300.
Since the question only provides information about the number of customers served for the first 6 days, we cannot determine the net profit on day 12.
Therefore, statement C is incorrect.
D. Net profit for days 6 and 7 combined is expected to be less than the earned net profit on day 1.
To calculate the net profit for days 6 and 7 combined, we need to calculate the number of customers on both days using the regression equation and then multiply it by the average net profit per customer.
Let's substitute x = 6 into the regression equation:
y = 1.03(6) + 229.4 = 6.18 + 229.4 ≈ 235.58
Now, let's calculate the net profit for days 6 and 7 combined:
Net profit on days 6 and 7 = ($5.82 \(\times\) 235) + ($5.82 \(\times\) 237) ≈ $2,735.2
Comparing this to the earned net profit on day 1, we cannot determine if it is less or greater without the information provided.
Therefore, statement D is incorrect.
In conclusion, none of the given statements are correct based on the information provided.
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Reuben has been saving $6 each week. Today he spent $90 of the savings, and he now has $48 left. For how many weeks has he been
saving?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
Answer:
23 weeks
Step-by-step (x = weeks)
90 + 48 = 138
divide 138 by 6 to find out how many weeks he'd been saving up .
that gives you 23 but to turn it into an equation
6x - 90 = 48
+ 90 +90
6x = 138
_ _
6 6
x = 23 again x meaning weeks
Estimate the difference. 9 1/2- 1 6/7
Answer:
\( = 7 \frac{9}{14} \\ \)
Step-by-step explanation:
\(9 \frac{1}{2} - 1 \frac{6}{7} \\ \frac{19}{2} - \frac{13}{7} \\ \frac{133 - 26}{14} \\ = \frac{107}{14} \\ = 7 \frac{9}{14} \)
hope this helps
brainliest appreciated
good luck! have a nice day!
Points X( -6, -4), Y( -2, -8), Z( 2,-4) are the vertices of a right triangle. What is the area of XYZ? Round to the nearest tenth.
Answer:
16
Step-by-step explanation:
distance between point x and z is 8 units
distance between point z and y is 4 units
8 * 4 = 32
formula for area of a triangle (l * w)/2
plugin: (8 * 4)/2 = 16
A bag contains 3 blue marbles, 1 green marble, and 4 orange marbles. A marble is pulled out of the bag at random. The probability that the marble is blue is____.
A. 3/5
B. 0
C. 5/8
D. 3/8
E. 3/4
Answer:
3\49857
Step-by-step explanation:
a movie is 17/8 hours long after 45 minutes how much time is left
Answer:
82.5 minutes
Step-by-step explanation:
We have to figure out how many minutes are in 17/8 hours. 17/8 = 2 1/8 hours. We know that 2 hours is 120 minutes.
1/8hours x 60 min = 7.5 minutes.
120 + 7.5 = 127.5 minutes then subtract out 45. That leaves 82.5 minutes.
Estimate 6,976 + 3,983 + 13,560 by first rounding each number to the nearest thousand.
Answer:
Step-by-step explanation:
The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000, 3,983 rounded to the nearest thousand is 4,000, 13,560 rounded is 14,000.
7,000 + 4,000+ 14,000 = 25,000
Round to the nearest thousands 34,385
need help
Answer:34,000
Step-by-step explanation:
Answer:
its 34,000 because it below 5
Step-by-step explanation:
brainliest please
Slope 3/5 yintercept2 write an equation slope-intercept form
The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.
To write the equation of a line in slope-intercept form, we use the formula:y = mx + b
where:
- y represents the dependent variable (the vertical axis)
- x represents the independent variable (the horizontal axis)
- m represents the slope of the line
- b represents the y-intercept, the point where the line intersects the y-axis.
In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:
y = (3/5)x + 2
This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).
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Consider the following binomial experiment: A newspaper publisher claims that 52% of the people in a certain community read his newspaper. Doubting the assertion, a competitor randomly surveys 289 people in the community. Find the standard deviation of this experiment, if the newspaper publisher's claim is correct.
a) 8.1932
b) 8.3932
c) 8.4932
d) 8.6932
e) 8.5932
f) None of the above.
Answer:
\(SD = 8.4932\)
Step-by-step explanation:
Given
\(Sample\ Size (n) = 289\)
\(proportion, p= 52\%\)
Required
Determine the standard deviation (SD)
The standard deviation of a binomial distribution is calculated as thus:
\(SD = \sqrt{np(1-p)}\)
Substitute values for n and p
\(SD = \sqrt{289 * 52\% * (1-52\%)}\)
Convert to decimals
\(SD = \sqrt{289 * 0.52 * (1-0.52)}\)
\(SD = \sqrt{289 * 0.52 * 0.48}\)
\(SD = \sqrt{72.1344}\)
\(SD = 8.49319727782\)
\(SD = 8.4932\) --- approximated
Hence, the calculated standard deviation is approximately 8.4932
Change 0.1928 to a percent
A.1928%
B.19.28
C.19/28
D. none of these choices are correct
B is the right choice.
You move the point to two spaces right, making 19.28 (percent).
Answer:
B. 19.28
Step-by-step explanation:
Multiple 0.1928 by 100 to convert to percentage.
0.1928 x 100=
19.28%
Are snow days a thing of the past or do they still have a place in today's world? Answer whether or not you believe the Mayor and School chancellor are correct in eliminating snow days for NYC school kids. Make sure to use evidence and personal connections to defend your position.
Answer:
I feel it is unfair to kids of today to require work in bad weather. Especially in harsh and even dangerous weather conditions. For me what if power goes out should I be required to do work?
Use the rule for order of operations to simplify the expression as much as possible 67-4(3•8-10)
Answer:
11
Step-by-step explanation:
\(67-4\)(3 · 8 - 10)
Step 1. Multiply 3 and 8
\(67-4\)(24 - 10)
Step 2. Subtract 10 from 24
\(67-4(14)\)
Step 3. Multiply
\(67-56\)
Step 4. Subtract
11
Two numbers have a sum of 822 and a difference of 258. What are the two numbers?
Answer:
540 and 282
Step-by-step explanation:
x + y = 822
x - y = 258
Combine the equations
---------------------
2x = 1080
x = 540
Plug in x to the first equation
--------------------
y + 540 = 822
- 540 -540
y = 282
--------------------
x = 540 and y = 282
Solve for x. 6/-4.5=8/4x
The value of x when we solve the equation 6/ -4.5 = 8/4x is x = - 1.5.
What is equation?A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. Another well formula consisting of two expressions linked by an equals sign is considered to be an equation in English, but the word's equivalents in other languages may have slightly different definitions. For instance, an équation is defined as having one or more variables in French.
The given equation is:
6/ -4.5 = 8/4x
Using the method of cross multiplication or butterfly method of multiplication we have:
6(4x) = (8)(-4.5)
24x = -36
x = -1.5
Hence, the value of x for the equation 6/ -4.5 = 8/4x is x = - 1.5.
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Show that 5x^2 + 2x - 3 < 0 can be written in the form | x + 1/5 | < 4/5
if possible with the explanation as well
Step-by-step explanation:
First let solve the inequality
\(5 {x}^{2} + 2x - 3 < 0\)
Factor by grouping
\(5 {x}^{2} + 5x - 3x - 3 < 0\)
\(5x(x + 1) - 3(x + 1)\)
So the factor are
\((5x - 3)(x + 1)\)
So the factor are
\(x = \frac{3}{5} \)
and
\(x = - 1\)
Solutions to a quadratic can be represented by a absolute value equation because remeber quadratics
creates 2 roots and/or double roots.
The inequality
\( |x - b| < c\)
works as
b is the midpoint between 2 roots. And c is the
\( |x + b| = c\)
We know that the midpoint between both roots is-1/5.
so
\( |x - ( - \frac{1}{5} )| < c\)
\( |x + \frac{1}{5} | < c\)
Let use roots 3/5
\( | \frac{3}{5} + \frac{1}{5} | = \frac{4}{5} \)
-1 works as well.
\( | - 1 + \frac{1}{5} | = | - \frac{4}{5} | = \frac{4}{5} \)
So the absolute value equation is
\( |x + \frac{1}{5} | < \frac{4}{5} \)
What’s the correct answer for this question?
Answer:
21/100
Step-by-step explanation:
By looking at the table, we can find the box that has information on people who have dogs but do not walk. The number is 21. The total number of people is 100. To find probability, divide 21 by 100.
21/100
This fraction is in its simplest form and cannot be simplified any further.
ts
Find the quotient.
5
14)154
O 10
O 10.5
O 11
O 11.7
Answer:11/c
Step-by-step explanation:
ASAP NEDDDD HELPPPPPP
By translation, the image of the triangle X is equivalent to the triangle E.
How to determine the image of a figure by rigid transformations
Herein we find the representation of a triangle, whose vertices are described below:
A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)
Whose image must be determined by a rigid transformation known as translation:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original point.P'(x, y) - Image of the point.T(x, y) - Translation vector.Now we proceed to determine the images of the vertices of the triangle:
A'(x, y) = (5, 5) + (4, - 3)
A'(x, y) = (9, 2)
B'(x, y) = (5, 6) + (4, - 3)
B'(x, y) = (9, 3)
C'(x, y) = (7, 5) + (4, - 3)
C'(x, y) = (11, 2)
Therefore, the triangle E is the image of the triangle X.
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find the sum. select the answer that is in simplest form.
4 2/3 + 3 3/4=
Using fraction strips, the result of 4 2/3 + 3 3/4 is 8 5/12
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given, 4 2/3 + 3 3/4 using fraction strips.
Fraction strips are rectangular pieces (electronic or copied on paper strips) to represent different parts of the same whole. They can be cut apart and manipulated to see how various parts can be added together to make the whole or compare different fractional amounts for equivalency.
First, we will add fraction parts
=> 2/3 + 3/4
We can write2/3 as 8/12 since they have the same values
=> 8/12 + 9/12
Since now the denominators are the same, therefore we can add the numerators directly. Hence, the sum of 8/12 and 9/12
=> 17/12
=>12/12 + 5/12
=> 1 + 5/12
Thus the sum = 4 + 3 +1 + 5/12
Sum = 8 +5/12
therefore, the sum of 4 2/3 + 3 3/4using fraction strips is 8 5/12.
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a kite string is 50 feet long, and you are able to measure the angle of elevation to be 25 degrees. You are holding the kite from 5 feet above the ground.
Show all your work to find the total height (h) of the kite.
9514 1404 393
Answer:
26.1 ft
Step-by-step explanation:
The height of the kite above your position is the opposite side of a right triangle whose hypotenuse is 50 ft. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
Filling in the known values, we have ...
sin(25°) = height/(50 ft)
height = (50 ft)sin(25°) ≈ 21.1 ft
Added to the height at which you are holding the string, this becomes the total height of the kite.
h = 5 ft + 21.1 ft = 26.1 ft . . . . total height of the kite
help me please with this answer I'm stuck
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
Answer:
\(115 \dfrac{1}{2}\:cm^3\)
Step-by-step explanation:
The volume of a rectangular prism is the product of each of the sides of the prism
Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)
the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)
To perform this multiplication, convert mixed fractions to improper fractions first
Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)
\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)
\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)
Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)
\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)
Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)
Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder
\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)
\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)
Refer to trapezoi EFGH WITH MEDIAN IJ if IJ=X,Hg=8 abd EF=12 what is the value of x
Answer:
x = 10
Step-by-step explanation:
A trapezoid is a quadrilateral with one pair of parallel sides.
The median of a trapezoid connects the midpoint of the non-parallel sides.
IJ is the median of the trapezoid. I is the midpoint of EH, and J is the midpoint of GF.
Also, the median of a trapezoid is also parallel to the parallel sides. IJ║ HG║ EF.
(The proof of this is extensive and requires drawing additional lines such as HJ and extending EF further until HJ and EF intersect at another point, Y. It is given as the other diagram. You also need prior knowledge of the midsegment of a triangle.)
The measure of the midsegment of a trapezoid, by definition, is also equal to the average of the measure of the parallel segments.
In the figure,
\(IJ=\dfrac{(HG+EF)}{2}\)
Substituting the values we have, HG = 8, EF = 12 gives us:
\(IJ=\dfrac{(HG+EF)}{2}\)
\(IJ=\dfrac{(8+12)}{2}\)
\(IJ=\dfrac{20}{2}\)
\(IJ=10\)
IJ is 10 units.
How do I solve problems like
5 + 2y = 1
Answer:
y=-2
Step-by-step explanation:
its like in the paper sorry it if crops out
Trapezoid DEFG is similar to Trapezoid HJKF .Which of the following statements is NOT true
What is 6 3/4 percent of 800
Answer:
answer is 746.
have a nice day and do good in math
Can you help me with this please -42=5(2c+9)-3(c+8)
Answer:
Step-by-step explanation:
Can you help me with this please
-42=5(2c+9)-3(c+8)
-42 - 7c + 21 = 0
c = -(-63)/-7
c = -9
\(-42 = 5(2c+9)-3(c+8)\\\\\implies -42 = 10c + 45 -3c - 24\\\\\implies 7c = -42 -45 +24 \\\\\implies 7c = -63\\\\\implies c = -\dfrac{63}7 = -9\)
Jake has 150 feet of barb wire and needs to put it on 35 3/4 feet of fencing. How much barb wire can he use for each foot?
pls help
please mark as brainliest
Answer:
4
Step-by-step explanation:
Not sure what you mean but 150 divided by ( 35 + 3/4 ) = 4
W Work out the area of the triangle below. 4 cm 10 cm 7 cm Not to scale
The area of the triangle is = 19.4 cm²
What is the area of triangle?Triangle's area is equal to 1/2 (b × h) square units.
where the triangle's base and height, respectively, are denoted by b and h. Let's now examine how to use the provided formula to get a triangle's area.
Area of triangle = 1/2 × B × H
We will calculate the height of the triangle with the help of Pythagoras theorem.
Consider a straight line representing the height of the triangle.
⇒ base = 4cm, half of base = 2cm
⇒ hypotonus = 10cm
(h²) = b² + a²
⇒ 10² = 2² + a²
⇒ 100 = 4 + a²
⇒ √96cm = a
a = 9.7cm
area of triangle = 1/2 × 4 × 9.7
= 19.4 cm²
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6.14 x 10^-9 greater or less than 6 x 10^-10
The value 6.14 x 10^-9 is greater than the scientific notation 6 x 10^-10
Scientific notationsThe standard scientific notations are expressed as A * 10^n
where
A is any real number between 1 and 10
n is any integer
According to the question, we are to determine which of the scientific notation is greater or smaller.
Scientific notation with the lowest exponent will be lower than the notation with a higher number
Given the scientific notations 6.14 x 10^-9 and 6 x 10^-10, you can see that the exponent value of-10 is less than that of -9, therefore this shows that the value 6.14 x 10^-9 is greater than the scientific notation 6 x 10^-10
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