Answer:
-13
Step-by-step explanation:
-68 = 5y-3 First you move the -3 by adding 3 to both sides to get -65 =5y
Then you divide 5 by both sides to get y=-13
Answer:
y = -13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-68 = 5y - 3
Step 2: Solve for y
Add 3 to both sides: -65 = 5yDivide both sides by 5: -13 = yRewrite: y = -13Step 3: Check
Plug in y to verify it's a solution.
Substitute: -68 = 5(-13) - 3Multiply: -68 = -65 - 3Subtract: -68 = -68And we have our final answer!
A random sample of hybrid vehicle fuel consumptions has a sample mean of x¯=53.2 mpg and sample standard deviation of s=4.8 mpg. Use the Empirical Rule to estimate the percentage of hybrid vehicle fuel consumptions that are less than 43.6 mpg. Round your answer to the nearest tenth.
Answer:
2.5%
Step-by-step explanation:
Since the mean is 53.2, a fuel consumption of 43.6 mpg is 53.2−43.6=9.6 mpg less than the mean, which is 2 standard deviations.
By the Empirical Rule, we know that about 95% of the data lies within 2 standard deviations of the mean. Therefore, 100%−95%=5% of the data lie more than 2 standard deviations away from the mean.
Since the distribution of hybrid vehicle fuel consumptions is symmetric, about half of the remaining 5% will lie to either extreme. So about 2.5% of fuel consumptions are less than 43.6 mpg.
The normal distribution is a symmetric probability distribution about the mean. The percentage of hybrid vehicle fuel consumption that is less than 43.6 mpg is 2.5%.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
Given that the mean is 53.2, while the standard deviation is 4.8 mpg. Therefore, Accoding to the emperical rule, we can write the values as,
μ+3σ = 67.6
μ+2σ = 62.8
μ+σ = 58
μ = 53.2
μ-σ = 48.4
μ-2σ = 43.6
μ-3σ = 38.8
Therefore, The percentage of hybrid vehicle fuel consumption that is less than 43.6 mpg is,
Percentage = (0.15 + 2.35)% = 2.5%
Hence, The percentage of hybrid vehicle fuel consumption that is less than 43.6 mpg is 2.5%.
Learn more about Normal Distribution:
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Find the center and radius of the circle
❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] {x}^{2} - 6x + {y}^{2} - y = 2[/tex]
Add sides 9 + 1 / 4
[tex] {x}^{2} - 6x + {y}^{2} - y + 9 + \frac{1}{4} = 2 + 9 + \frac{1}{4} \\ [/tex]
[tex] ({x}^{2} - 6x + 9) + ( {y}^{2} - y + \frac{1}{4} ) = 11 + \frac{1}{4} \\ [/tex]
[tex] ({x - 3})^{2} + ({y - \frac{1}{2} })^{2} = \frac{44}{4} + \frac{1}{4} \\ [/tex]
[tex] ({x - 3})^{2} + ( {y - \frac{1}{2} })^{2} = \frac{45}{4} \\ [/tex]
______________________________________
Remainder :
[tex] ({x - a})^{2} + ({y - b})^{2} = {R}^{2} [/tex]
[tex]center = ( \: a \: , \: b \: )[/tex]
[tex]radiuc = R[/tex]
______________________________________
Compare :
[tex] ({x - a})^{2} + ( {y - b})^{2} = {R}^{2} [/tex]
[tex]( {x - 3})^{2} + ({y - \frac{1}{2} })^{2} = ({ \frac{ \sqrt{45} }{2} })^{2} \\ [/tex]
Thus ;
[tex]center = ( \: 3 \: , \: \frac{1}{2} \: ) \\ [/tex]
[tex]radius = \frac{ \sqrt{45} }{2} = \frac{ \sqrt{9 \times 5} }{2} = \frac{3 \sqrt{5} }{2} \\ [/tex]
Done...
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Point Q' is the image of Q(-7,-6) under the translation (x, y) + (x+12, y + 8).
What are the coordinates of Q'?
Answer: ( 5, 2 )
Step-by-step explanation:
If the original image is Q ( -7, -6 ) and you are looking for Q' ( A translated version of the original image )
If the translation is ( x, y ) --> ( x + 12, y + 8 )
If coordinates are ( x , y ) and the original image is ( - 7, -6 )
Then that means:
x = -7
y = -6
Use the original coordinates you have and add them with the translation given to you
( - 7 + 12 ) and ( -6 + 8 )
The coordinates of Q' is ( 5, 2 )
Hope this helps!!
WILL GIVE BRAINLIEST TO WHOEVER IS RIGHT
The number of pages that Albert, Keith, Rita, and Bess can read in a day is shown below:
Albert read 15% of his 56-page book.
Keith read 12% of his 64-page book.
Rita read 16% of her 42-page book.
Bess read 10% of her 72-page book.
Who can read the greatest number of pages in a day?
Albert
Keith
Rita
Bess
Answer:
Albert read the most
Step-by-step explanation:
Answer:
take each of your pages times the number of present, it will give you a answer of pages they read each day, but your answer would be albert he read 8.4 pages a day keith 7.68, Rita 6.72, and bess 7.2.
Step-by-step explanation:
Someone help with all of them, I need the ones I did checked to see if they are right, so please help with all! I’ll mark brainliest if you give a small explanation:)
Answer:
1. y= 6x-2
2. y= 2/3x+5
3. y= -5x+0
4. y= 0x-1
5. y= -1x+4
Explanation: Used slope-intercept form which y=mx+b. For #1 I made it 6x-2 because 2 is negative so therefore your y-intercept will be you really didn't need an addition sign. If you need anything else let me know.
A mystery element has 18 protons. Which one of the following statements is true about the element?
Answer:
My guess would be B
Step-by-step explanation:
Helium, neon, argon, krypton, xenon, and radon are also noble gases, in order of density. These are termed noble gases as they're so magnificent that, in general, they do not react with something.
The number of valence electrons determines the number of elements in a set.The number of outer electrons decides the number of components in a period.The electrical configuration of both the element is 2,8,8.Their electron energy count is 8, indicating that it belongs to Group 8/O.Its electrons shell count is three, indicating it is in period (row) 3 Noble gases are elements in the Group 8/O family.Therefore, the answer is "Its chemical is categorized as a noble gas that belongs to row 3 of the periodic table".
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On his lunch break, Calvin purchases a burger and a drink. The total order is $8.50, of which $1.08 is tax. How much was Calvin's meal before tax?
Equation:
Answer:
Calvin's meal before tax = $7.42
Step-by-step explanation[tex] \bf : [/tex]
Cost of total order after tax = $8.50
Tax = $1.08
Cost of total order before tax = Cost of total order after tax - Tax
= $8.50 - $1.08
= $7.42
Hurry help I need help with this question
Answer:
The answer is B
Step-by-step explanation:
Which statement best explains whether the table represents a linear or nonlinear function?
Input Output
(x) (y)
−2 7
−5 4
−8 1
−11 −2
A It is a linear function because there is a constant rate of change in both the input and output values.
B It is a nonlinear function because there is a constant rate of change in both the input and output values.
C It is a linear function because the input values are decreasing.
D It is a nonlinear function because the input values are increasing.
Answer:
b
Step-by-step explanation:
x + 5 is a factor of f(x) = x ^ 3 - 2x ^ 2 - 23x + 60 to factor f(x) completely.
Answer:
danlowde photomath and u'll know
What is 3/4 divided by 1/3?
Answer:
1/4
Step-by-step explanation:
have a good day!
What is the image of the point (-8,7)(−8,7) after a rotation of 90^ counterclockwise about the origin?
Answer:
(−7,−8)
Step-by-step explanation:
Somebody amazing answered my other but |4| |–6| is confusing i might send alot of them because i dont understand fully
Answer:
tell me the problem
CAN YOU PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP (40 points)
The perimeter of a rectangle is 54 inches. Its length is 22 inches. Write and solve an equation to determine its width?
2 times the width + 2 times the length = perimeter
Answer:15 cm2
Step-by-step explanation:
Find the slope and y-intercept of the line that is graphed on the coordinate grid below.
Answer: 1
Step-by-step explanation:
Cuz the x: rise: 1 and run = 1.
1/1= 1
Y: also same rise: 1 and run : 1
1/1 =1
Can someone help me please on #6 and #8 please.
Answer: yo if you look up math equation calculator and type that equation in it would solve the problem step by stem.
Step-by-step explanation: i hope this helps :D
Answer:
Number 6 is 3, Iḿ pretty sure if not sorry I tried my best
Step-by-step explanation:
List all the subset of set
[ red, green, blue
Answer:
red, green, blue, red green, blue green, red blue
Step-by-step explanation:
i hope this is the answer to your question, please give me brainliest, please
We are given the Set: {Red, Green, Blue}
Number of Subsets of the Set:
Number of Subsets of a set is also known as the power of that set
The power of a set is denoted as: 2ⁿ (where n is the number of elements of the set)
Power of the given set: 2³ = 8 subsets
All the subsets of the Given set (The Power Set):
{ ∅, {Red}, {Green}, {Blue} , {Red, Green} , {Green, Blue}, {Blue, Red} , {Red, Green, Blue} }
what is the APPROXIMATE area of a circle with a diameter of 6.2
A.9.7 square inches
B.19.5 square inches
C.30.2 square inches
D.120.8 square inches
Answer:
k-2654 + %%12 a4 Q
Step-by-step explanation:
2323-hnbcn
e3+*
Kuel+12
78278663=h*3
Look at this graph:
у
100
90
80
70
60
50
40
30
20
10
х
0
10
20
30
40
50
60
70 80 90 100
What is the slope?
Answer: pretty sure it's 20
Step-by-step explanation:
4 of 10
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much
will Colin have after 6 years? Give your answer to the nearest penny where appropriate.
Answer:
1430
Step-by-step explanation:
1100×(0.05×6)+1100=1430
After the data was recorded in the dot plot, another response was found for a participant who watches 30 hours of television each week. How will this additional data point affect the mean number of hours of television watched each week? OA The effect on the mean number of hours cannot be determined. OB. The mean number of hours will remain the same. O c. The mean number of hours will decrease. OD. The mean number of hours will increase. please help
Answer:
I think its A
Step-by-step explanation:
...
Answer:
the answer is D I hope it helps you
Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola. (Round your answers to the nearest hundredth.)
Complete question is;
Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola. (Round your answers to the nearest hundredth.) y = 6 - x²
Answer:
height = 4 and base = 2√2
Step-by-step explanation:
Area of a rectangle is given by;
A = base(b) × height(h)
To start off, we will first have to consider half of the rectangle.
Due to the fact that it is bounded by a parabola which is symmetric over the y-axis, it means that the rectangle will have the same area on the right and left hand sides.
So if we maximize the area of the first quadrant, it means that we are also maximizing the area of the entire rectangle.
Now, since we are dealing with the base and other 2 vertices on the x-axis, it means that the base(b) of this half rectangle will be x.
The height of this rectangle is the y coordinate of the corner that is directly above the x coordinate, which is also on the rectangle.
Therefore, the coordinates of the upper corner will be (x, y), or (x, 6 - x²). Thus our half base is x and full height is 6 - x². Area will be;
A = x(6 - x²)
A = 6x - x³
We will maximize this area by finding the derivative and equating to zero.
Thus;
A' = 6 - 3x²
At A' = 0,we have;
6 - 3x² = 0
3x² = 6
x² = 6/3
x² = 2
x = √2
Thus, from y = 6 - x², we have;
y = 6 - (√2)²
y = 6 - 2
y = 4
Since x is half base, it means our full width is 2x = 2 × √2 = 2√2
So, height = 4 and base = 2√2
.HELPPPPPPPPPPPPPPPPPP
Ajutatima pls!!!!!Va dau Coroana!!!!!!
Answer:
cronana va de
Step-by-step explanation:
In Exercise 5.21, we learned that a Rasmussen Reports survey of 1,000 US
adults found that 42% believe raising the minimum wage will help the economy. Construct a 99% confidence interval for the true proportion of US adults who believe this.
Charlie knows that 3 blocks are needed to make a tower that is 0.5 foot high.
How many blocks will be needed to make a tower that is 4 feet high?
Answer:
24 blocks will be needed to make the tower that is 4 feet high
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ Charlie knows that 3 blocks are needed to make a tower that is
0.5 foot high
∵ He needs to make a tower that is 4 feet high
→ By using the ratio method
→ Blocks : height (ft)
→ 3 : 0.5
→ x : 4
→ By using the cross multiplication
∵ x × 0.5 = 3 × 4
∴ 0.5x = 12
→ Divide both sides by 0.5 to find x
∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{12}{0.5}[/tex]
∴ x = 24
∵ x represents the number of blocks
∴ 24 blocks will be needed to make the tower that is 4 feet high
John bought 15 cookies and ate 3 of them. He ate % of the cookies. (Make sure to enter the answer using numbers only. Do not enter special characters such as the percent symbol.)
Answer:
20%
Step-by-step explanation:
Divide 3 by 15 to get 1/5. If you divide 1 by 5, you will get a decimal answer of 0.2. To convert a decimal to a percent, you must multiply the decimal by 100, which basically means to move the decimal place to the right twice. You will then get the product and final answer of 20%.
26. State the quadrant in which the point (-3,2) lies.
A. Quadrant
C. Quadrant III
B. Quadrant II
D. Quadrant IV
Answer:
B. Quadrant II
Use this:
Quadrant 1 (+,+)
Quadrant 2 (-,+)
Quadrant 3 (-,-)
Quadrant 4 (+,-)
Need help anybody know this question
Answer:
12 is the answer
Step-by-step explanation:
can you give me Brainliest PLZ
Answer:
12 is the answer i belive if not im sorry (:(
3(x + 5) + 3(x + 5) A 6x + 30 b 6x -30 c 30-6x d 6x+10
Answer:
The answer is A. 6x+30
Step-by-step explanation:
Answer:
6x+30
Step-by-step explanation:
3(x+5) + 3(x+5)
3x+15+3x+15
6x+30