So
here
rate of pay=30$ per hourIf hours be x
Question asked to plot a equation to calculate profit so all the expenses or loss should be deducted,here the constant loss is of 150 so 150 should be subtracted
The equation in slope intercept form
y=mx+by=30x-150Answer:
d) y = 30x - 150
Step-by-step explanation:
Let x = number of hours worked
Let y = profit earned
Profit is the amount left after expenses are deducted.
Given:
Terry earns $30 per hour walking dogs⇒ y = 30x
Given:
Terry pays $150 each month to a grooming serviceThis is Terry's expenses, so we must deduct this amount from the amount he earns walking the dogs to calculate the final profit:
⇒ y = 30x - 150
Based on an LG smartphone survey, assume that 51% of adults with smartphones use
them in theaters. In a separate survey of 250 adults with smartphones, it is found that
109 use them in theaters.
Using the z-distribution, it is found that the sample is enough evidence that the proportion is below 51%.
What are the hypotheses tested?At the null hypotheses, it is tested if the proportion is of 51%, that is:
[tex]H_0: p = 0.51[/tex]
At the alternative hypotheses, it is tested if the proportion is less than 51%, hence:
[tex]H_1: p < 0.51[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.In this problem, the parameters are given as follows:
[tex]p = 0.51, n = 250, \overline{p} = \frac{109}{250} = 0.436[/tex]
Hence, the test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.436 - 0.51}{\sqrt{\frac{0.51(0.49)}{250}}}[/tex]
z = -2.34.
What is the decision?Considering a left-tailed test, as we are testing if the proportion is less than a value, with a standard significance level of 0.05, the critical value is of [tex]z^{\ast} = -1.645[/tex].
Since the test statistic is less than the critical value for the left tailed test, we reject the null hypothesis, and find that the sample is enough evidence that the proportion is below 51%.
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Date:
Your Assignment: Coffee Shop Prices
Choosing a Model
You are helping your boss, the owner of a coffee shop, set prices. She has gathered some data by
counting the number of cups sold per day at various prices. Your job is to see if there is a relationship
between price and sales for one of the two most popular drinks.
Coffee sales:
Price: 1. 50 2. 20 2. 70 2. 50 2. 90 2. 00 1. 60 2. 10 3. 00 1. 80
Sales:
96
79
70
73
64
85
94
83
63
91
Tea sales:
Price: 2. 40 1. 50 1. 10 1. 60 2. 50 1. 30 1. 00 1. 70 2. 20 2. 00
Sales:
64
85
94
83
63
91
96
79
70
73
1. Which drink did you select? Circle one.
The regression equation of sales of coffee is ŷ = -22.7x + 130.3, and the regression equation of sales of tea is ŷ = -22.7x + 119.0
How to determine the regression equations of the drinks?The dataset of coffee is given as:
Price: 1.50 2.20 2.70 2.50 2.90 2.00 1.60 2.10 3.00 1.80
Sales: 96 79 70 73 64 85 94 83 63 91
Using a graphing calculator, we have the following calculation summary:
Sum of X = 22.3Sum of Y = 798Mean X = 2.23Mean Y = 79.8Sum of squares (SSX) = 2.521Sum of products (SP) = -57.14b = SP/SSX = -57.14/2.52 = -22.7a = MY - bMX = 79.8 - (-22.67*2.23) = 130.3The regression equation is represented as:
ŷ = bx + a
So, we have:
ŷ = -22.7x + 130.3
The dataset of tea is given as:
Price: 2.40 1.50 1.10 1.60 2.50 1.30 1.00 1.70 2.20 2.00
Sales: 64 85 94 83 63 91 96 79 70 73
Using a graphing calculator, we have the following calculation summary:
Sum of X = 17.3Sum of Y = 798Mean X = 1.73Mean Y = 79.8Sum of squares (SSX) = 2.521Sum of products (SP) = -57.14b = SP/SSX = -57.14/2.52 = -22.7a = MY - bMX = 79.8 - (-22.67*1.73) = 119.0The regression equation is represented as:
ŷ = bx + a
So, we have:
ŷ = -22.7x + 119.0
Hence, the regression equation of sales of coffee is ŷ = -22.7x + 130.3, and the regression equation of sales of tea is ŷ = -22.7x + 119.0
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A shape is rotated counterclockwise 110 degrees about the origin. What is another way to describe the rotation?
At max a rotation can be equal to π or 180°
So if it's rotated 110° counterclockwise then it's equal to rotation of supplementary angle clockwise
Supplementary angle=180-110=70°
70° rotation clockwise
When a shape is rotated counterclockwise 110 degrees about the origin, the rotation is described as 70 degrees clockwise.
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.
A shape is rotated counterclockwise 110 degrees about the origin which is given in the question
A rotation can have a maximum of 180 degrees.
So a rotation of 110 degrees counterclockwise equals a rotation of supplementary angle clockwise.
According to the property of supplementary angle,
⇒ 180° - 110°
⇒ 70°
Thus, when a shape is rotated counterclockwise 110 degrees about the origin, the rotation is described as 70 degrees clockwise.
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Denise is going to shop with the $250.00 that she earned from doing chores. She wants to save 20% of her money to put into a savings account. She buys a pair of jeans for $75.00 and a new leather coat for $110.00, with 5% sales tax on both items. Does Denise still have the amount of money she planned to put into her savings account?
Answer:
Yes
Step-by-step explanation:
Money to put into Savings Account
20% of $250.00 = 0.2 × $250.00
= $50.00
Cost of Jeans with sales tax
$75.00 + 5% = 105% of $75.00
= 1.05 × $75.00
= $78.75
Cost of Coat with sale tax
$110.00 + 5% = 105% of $110.00
= 1.05 × $110.00
= $115.50
Total money spent
= $78.75 + $115.50
= $194.25
Money left
= $250.00 - $194.25
= $55.75
$55.75 > $50.00
As the money left is more than 20% of $250.00 she does still have the money she planned to put into her savings account.
Imagine you have five total nieces and nephews and their ages are 4, 10, 8, 9, and 5. What is the average age of your nieces and nephews? What is their median age?
Answer:
The mean is 7.2 and the median ( average) is 8
Step-by-step explanation:
4 + 10 + 8 + 9 + 5 = 36 / 5
The mean is 7.2 and the median ( average) is 8
Answer:
7.2 is the average.
8 is the median.
Step-by-step explanation:
Average = Sum/count
36/5 = 7.2
To find the median, you can take away numbers one by one on each side of the numerical order until you get down to the last number(s) in the middle. 8 is the middle number.
When a business makes Money than it spends it makes a profit
Answer:
Profit means your business is making more money than it spends to stay in business so yes.
percent.
7) A new social media site is increasing its
user base by a constant percentage per
month. If the user base grows from
29,130 users to 52,167 users over 10
months, at what monthly rate is the user base increasing?
Answer:
5. % increase in user base per month (g) = 10% Users at t0 (P) = 10000
Step-by-step explanation:
Asher has 3 times as many book as Camilla. How many books does Camilla have if Asher has x books?
Answer: X/3
Step-by-step explanation:
Asher = 3 Camilla
If Asher is X, then X is 3C and C= X/3
Can someone help?
Please?
Answer:
36
Step-by-step explanation:
FRIEND ME AM SMART
Answer:
Area = 35
Step-by-step explanation:
Area = base * height
A=b*h=7*5=35
[tex] \textbf{Solve for x : ~} [/tex]
[tex]\qquad \sf{2x + 1 = 5} [/tex]
Tuff question..
Here we go..
[tex]\qquad \sf{2x + 1 = 5} [/tex]
[tex]\qquad \sf{2x = 5 - 1} [/tex]
[tex]\qquad \sf{2x = 4} [/tex]
[tex]\qquad \sf{x = 4÷2} [/tex]
[tex]\qquad \sf{x = 2} [/tex]
I hope it helps you friend.
Step-by-step explanation:
2x+1=5
2x=5-1
x=4/2
x=2
I have multiple please just h e l p
Answer:
Refer to image below :
The surface area of a rectangular prism is 1220 cm^2.
What is a rectangular prism?A rectangular prism is a 3-d solid shape that has 6 rectangular faces in which all the pairs of opposite faces are congruent. It has 8 vertices, 6 faces, and 12 edges.
For the given situation,
A rectangular prism has dimensions,
Length = 17 cm
Breadth = 14 cm
Height = 12 cm
The formula to find the surface area is A= ( lb + bh +lh)
⇒ [tex]A=2[(17)( 14) + (14)( 12) + (17)( 12)][/tex]
⇒ [tex]A=2(238+168+204)[/tex]
⇒ [tex]A=2(610)[/tex]
⇒ [tex]A=1220 cm^{2}[/tex]
Hence we can conclude that the surface area of a rectangular prism is 1220 cm^2.
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please answer please
Answer:
(7,2)
Step-by-step explanation:
we know (7,2) is the answers based on the evidence given in the example before
An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet
write the standard equation.
Answer:
x^2/6400 + y^2/900
Step-by-step explanation:
Just did the question on odyssey
The standard equation of a semi-ellipse, with its major axis would be; x^2/6400 + y^2/900
What is the equation of the ellipse?The standard equation of the ellipse centered at the origin behind the shape of the arch is presented below:
[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1[/tex]....... (1)
Where x is Horizontal distance, in feet.
y is Vertical distance, in feet.
a is Horizontal semiaxis length (half-width), in feet.
b is Vertical semiaxis length (height), in feet.
We are given that arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet.
a = 80
b = 30
Then the equation becomes as;
x^2/6400 + y^2/900
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Find the height of the right cone.
Tim uses a food delivery service to order dinner for himself and a friend. He paid $37.05 for dinner, which included the cost of the food and a delivery fee of 14% of the cost of the food. What was the cost of their dinner before the delivery fee?
Please explain!
Answer:
$31.86
Step-by-step explanation:
You can use a proportion here.
37.05 = 100%
x = 86% (100%-14% which is a delivery fee)
x = (37.05*86)/100
x = 3186.3/100
x = 31.86
The cost of their dinner before the delivery fee was $31.86.
I hope that I helped :)
i need help 9th-grade math
What is the volume of the prism
Answer:
The volume is 627 meters cubed
Step-by-step explanation:
First we find the area of the base with this formula:
(11*6)/2
Next you would multiply the area of the base by the height:
33*19
✅Now your final answer should be 627!
(In a class 20% were girls. If the number of girls were 60, how many boys were there?)
Step-by-step explanation:
100-20=80%
80%=4/5
4/5×60/1=48
48 boys but let me know if its wrong!
the "P" in 20p9 represents a:
A. Permutation
B. the number of items in the set
C. the number of objects selected from the set
Answer:
option (A) —Permutation.
Step-by-step explanation:
this is because permutation comes in this form and looks like that and I have learnt permutation in the past.
so yeah;
examples of permutations:
²⁰p9 ( 20 upper case, 9 lower case and p in-between)
we can solve it by
Formula: n!/(n-r)!
soooo
20!/(20-9)!
= 20!/(11)!
=20x19x18x17x16x15x14x13x12x11!/11!
we cancel out the 11!s (for easier solving)
and multiply or cancel out the remaining ( if you can't cancel out yet just multiply)
we get,
6.09493248 x 10¹⁰
~ 6 x 10¹⁰
there you go.( I know I did a little bit too much)
Hope this helps
Good luck.
Please help with this question.
Answer:
I think A is the best answer
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:
A. Perpendicular Bisector Theorem :)
If a point is the perpendicular bisector of a segment, it splits the segment equally in half, meaning that the endpoints are equidistant from the bisector!
Help please!!!!!!!!!
Answer:
5 right/left , 3 up/down
Step-by-step explanation:
Looking at the Graph count the rise/run of a point.
You design a logo for a marking company. As part of the proposal, you submit a scale drawing of the logo.
The scale drawing is a parallelogram with a base of 8 inches, a height of 3 inches, and a side length of 4 inches.
The scale drawing has a scale factor of 4 : 1. What is the perimeter, actual inches, of the actual logo?
The perimeter of the actual logo in inches whose base is 8 inches, height is 3 inches, and side length is 4 inches be,
Perimeter= 6 inches
What is scale factor?A scale factor is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.
The scale drawing of parallelogram having dimensions,
length= 8 inches,height= 3 inchesside length= 3 inchesPerimeter of scale drawing of parallelogram be,
= 2 ( length + side length)
= 2( 8 + 4 )
= 2 x 12
= 24 inches
The drawing has a scale of 4: 1 (Here 4 represent for scale diagram and 1 represent for the actual diagram)
As scale factor,= [tex]\frac{Perimeter \;of\; Scale\; logo}{Perimeter \;of \;Actual\; logo}[/tex]
[tex]\frac{4}{1} = \frac{24}{Perimeter\; of \; Actual\; logo}[/tex]
Perimeter of Actual logo =[tex]\frac{24}{4}[/tex]
= 6 inches
Hence, the perimeter of Actual logo is 6 inches.
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Help please I need it
Answer: -35.375 or -283/8
Step-by-step explanation:
Begin with the parenthese: (-1.5+9.5)=8 and (7+11)
Then you have 5/8+0.4(18)/-0.2.
Multiply 0.4 times that 18 and you get 7.2.
Then you have 5/8+7.2/-0.2
Simplify 7.2/-0.2 which equals -36
Then you have 5/8+-36
5/8+-36=-35.375 or in fraction form -283/8
Which weights are within 2 standard deviations of the mean? select three options. 8.4 lbs 8.9 lbs 9.5 lbs 10.4 lbs 10.9 lbs
The weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs
How to determine the weights?The given parameters are:
Mean, μ = 9.5Standard deviation, σ = 0.5The weights within 2 standard deviation is represented as:
μ - 2σ ≤ x ≤ μ + 2σ
Substitute known values
9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)
Evaluate the product
9.5 - 1 ≤ x ≤ 9.5 + 1
Evaluate the sum
8.5 ≤ x ≤ 10.5
This means that the weights are between 8.5 and 10.5 (inclusive)
Hence, the weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs
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Answer:
B C D
Step-by-step explanation:
I got it right on the quiz. :)
What is the vertex of g(x) = –3x2 18x 2? (3, –25) (–3, –25) (3, 29) (–3, 29)
Answer:
f(x) = -(x + 8)(x -14)
= -(x2 - 112 - 6x)
= -x2 + 6x + 112 --- (1)
We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.
The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation
a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is
x = -b/2a
= -(6)/[2(-1)]
= 3
Substituting the value of x = 3 in equation (1) we get,
Now y = -(3)2 + 6(3) + 112
= -9 + 18 + 112 = 121
So the vertex point coordinates are (3, 121) and the y value is 121.
The graph below verifies the vertex point.
vertex of the graph
What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?
Summary:
The y-value of the vertex of the function f(x) = -(x + 8)(x - 14) is 121.
what is the volume of a cylinder if the height is 9.5 and the length across is 19.3
Answer:
111
Step-by-step explanation
I took the quiz
Answer:
11117.01255
Step-by-step explanation:
V=πr^2h=π·19.3^2·9.5≈11117.01255
solve the following equation
5-4sin²x + 4cosx =0
Answer:
use gauth math it really helps you
Pls help will give brainlist
What symbol goes between the fractions in the comparison?
3
6
?
1
4
=
<
>
Answer:
>
Step-by-step explanation:
3/6 and 1/4
3/6 = 1/2
1/2 = 2/4
2/4 > 1/4
I need help!! Rectangle WXYZ will be transformed so that W' is located at (-3, -1) and Z' is located at (2, -1). Which algebraic representation shows the transformation that occurred?
Transforming the rectangle WXYZ involves changing the location of the rectangle
The algebraic representation of the transformation is (x, y) → (x, -y)
How to determine the algebraic representation?From the complete question, we have the coordinates of points W and Z to be:
W = (-3,1)
Z = (2,1)
And the new points are:
W = (-3,-1)
Z = (2,-1)
Notice that the x-coordinates remain the same, while the y-coordinates are negated.
This is represented as:
(x, y) → (x, -y)
Hence, the algebraic representation of the transformation is (x, y) → (x, -y)
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Pleeease help me. I need help with this one.
Answer:
Ravi and Courtney
Step-by-step explanation:
Simplifying the equations
Penny
2x - y = -1y = 2x + 1Ravi
2x + 3y = 33y = -2x + 3y = -2/3x + 3Courtney
-4x - 6y = -66y = -4x + 6y = -2/3x + 3Edwin
6x + 6y = 96y = -6x + 9y = -x + 9Ravi and Courtney would have infinitely many solutions because they are the same equation.
Answer:
Ravi and Courtney have the same equation so they will have infinetely many solutions.
Step-by-step explanation:
Step 1: Solve each equation for y
Penny → [tex]2x - y = 1[/tex]
→ [tex]-y + 2x - 2x = 1 - 2x[/tex]
→ [tex](-y) * -1 = (1 - 2x) * -1[/tex]
→ [tex]y = 2x - 1[/tex]
Ravi → [tex]2x + 3y = 3[/tex]
→ [tex]3y + 2x - 2x = 3 - 2x[/tex]
→ [tex](3y)/3 = (3 - 2x)/3[/tex]
→ [tex]y = -2/3x + 1[/tex]
Courtney → [tex]-4x - 6y = -6[/tex]
→ [tex]-6y - 4x + 4x = -6 + 4x[/tex]
→ [tex](-6y)/-6 = (-6 + 4x)/-6[/tex]
→ [tex]y = -2/3x + 1[/tex]
Edwin → [tex]6x + 6y = 9[/tex]
→ [tex]6y + 6x - 6x = 9 - 6x[/tex]
→ [tex](6y)/6 = (9 - 6x)/6[/tex]
→ [tex]y = -x + 1.5[/tex]
Answer: Ravi and Courtney have the same equation so they will have infinetely many solutions.