Answer:
A.) ŷ = 7X + 27.625
B.) check Explanation
C.) $77,000
Step-by-step explanation:
Given the following :
Education(x) : 3 4 6 2 5 4 8 0
Salary (y) : $40 36 56 35 72 47 107 52
A.) Using the linear regression calculator :
ŷ = 7X + 27.625
Salary = 7(education) + 27.625
B.) The Coefficient for education refers to the gradient or slope of the linear graph, the Coefficient is the ratio of the change in salary earned to education. The slope, which is the Coefficient of education is 7.
C.)What is the predicted salary for an individual who completed 7 years of higher education?
ŷ = 7X + 27.625
Salary = 7(education) + 27.625
Salary = 7(7) + 27.625
Salary = 49 + 27.625
Salary = $76.625
Salary = $77,000 ( nearest whole number)
PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!
Answer:
hi i did calculations and my ans is coming (A) 8x - 12
Step-by-step explanation:
A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin's work and find his error.
Answer: The answer is provided below
Step-by-step explanation:
A price markdown is a reduction that is deliberate when selling a product. From the question, we are informed that a video game that usually costs $30.65 is marked down 60%.
The find the new price of the video game, we have to subtract the amount reduced from the original price. The amount reduced is:
= 60% of $30.65
= 60/100 × $30.65
= 0.6 × $30.65
= $18.39
The new selling price = $30.65 - $18.39
= $12.26
The error that Kelvin made when he determined that the new price of the game would be $18.39 was that he didn't subtract the value from the original price of the video game.
Please help someone please
Answer:
6(x +8)
Step-by-step explanation:
Factorising:
6x + 48
Take 6 as common, Therefore:
6(x +8)
Because:
6 * x = 6x
6 * 8 = 48
therefore:
6x + 48 = 6(x + 8)
Hope it helped!!!
How many sides does a pentagon have? A pentagon has number sides.
Answer:
5
Step-by-step explanation:
A pentagon is a polygon that has 5 sides.
Answer:
A pentagon has 5 sides
Step-by-step explanation:
penta, often means 5.
The distance from the Earth to Saturn averages 886 million (886,000,000) miles. Write this number in scientific notation.
Answer:
8.86×10⁸
Step-by-step explanation:
The most significant digit of the number is in the hundred millions place. The exponent of 10 associated with that number place is 8, so the multiplier in scientific notation is 10^8.
Scientific notationThe significant digits of the number are written with one of them to the left of the decimal point. The power of ten multiplier is that associated with the place value of the most-significant digit.
886 million = 8.86×10⁸
What number do you need to add to +6 to get 0?
Answer:
+6-6=0
so we need -6 to add in +6 to get 0
Step-by-step explanation:
i hope this will help you
[tex]solution \\ let \: the \: number \: be \: x \\ x + 6 = 0 \\ or \: x = 0 - 6 \\ x = - 6[/tex]
hope this helps...
Good luck on your assignment...
Evaluate: (-2/3*3/4) -1
Answer:
[tex] = ( - \frac{2}{3} \times \frac{3}{4}) \times ( - 1) [/tex]
[tex] = \frac{( - 2) \times ( - 1)}{4} [/tex]
[tex] = \frac{ + 2}{4} [/tex]
[tex] = + \frac{1}{2} [/tex]
Here's your answer girlfriend
Please follow me
Find the maximum and minimum values by evaluating the equation, C = 4x - 3y at the critical points of the restrictions include the following (picture)
a. minimum: -32; maximum: 45
b. minimum: -45; maximum 32
c. minimum: -45, maximum: -32
d. minimum: 32; maximum: 45
Answer:
fsdfsdf
Step-by-step explanation:
ghlvlc
^3 square root of 1
please help
Answer:
1
Step-by-step explanation:
=> [tex]\sqrt[3]{1}[/tex]
=> [tex]\sqrt[3]{1*1*1}[/tex]
=> [tex]\sqrt[3]{1^3}[/tex]
=> 1
Which expression is closest in value to 5.66?
Answer:
give me the rest of the question/ a picture or something then i can answer
Step-by-step explanation:
HELP! 30 POINTS!
Q4. An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw (
b) Use the possibility diagram to calculate the probability that the product of the two numbers is
I) A prime number
ii) Not a perfect square
iii) A multiple of 5
iv) Less than or equal to 21
v) Divisible by 4 or 6
Answer: i) 12.5% ii) 87.5% iii) 23.4%
Step-by-step explanation:
There are two die, each with 8 sides so the total number of outcomes is 8²
i) Product is a prime number --> 2, 3, 5, 7
Since it is a prime we only have the option of one die being a 1 and the other being the prime number.
So possible successful outcomes is: (1, 2), (1, 3), (1, 5), (1, 7), (7, 1), (5, 1), (3, 1), and (2, 1) = 8 options.
[tex]\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{8}{8^2}=\dfrac{1}{8}=\large\boxed{12.5\%}[/tex]
ii) Not a perfect square. Let's find the probability that it IS a perfect square and subtract that value from the total (64).
Product IS a perfect square --> 1, 4, 9, 16, 25, 36, 49, 64
Possible successful outcomes of a perfect square: (1, 1) (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (7, 7), (8, 8) = 8 options.
Product is NOT a perfect square = 64 - 8 = 56 options
[tex]\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{56}{8^2}=\dfrac{7}{8}=\large\boxed{87.5\%}[/tex]
iii) Product is a multiple of 5 --> 5, 10, 15, 20, ,25, 30, 35, 40,
Possible successful outcomes of a multiple of 5: (1, 5), (2, 5), (3, 5), (4, 5), (5, 5), (6, 5), (7,5), (8, 5), (5, 8), (5, 7), (5, 6), (5, 4), (5, 3), (5, 2), (5, 1) = 15 options
[tex]\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{15}{8^2}=\dfrac{15}{64}=\large\boxed{23.4\%}[/tex]
You are limited to 3 questions on Brainly so hopefully you can follow what I did to answer the last two questions (less than or equal to 21) and (divisible by 4 or 6). If not, please post this question again and state "Need iv and v only".
A t-shirt increased in price by 14. After the increase it was priced at £30. What was the original price of the t-shirt?
Answer:
Either £16 or £26.32 depending on what you meant in the question
Step-by-step explanation:
I'm going to answer the question in 2 ways, since I'm not sure if you mean £14 or 14%
If its £14, then the original price is 30-14 = £16
If its 14% then that means after the increase, the shirt will be 100%+14% of the original price or 114% of the original price.
This means that
£30 = 114%
To make it easier, reduce the 114% to 1 %
1% = 30/114
1% = £0.26316
100% = £26.32 (rounded to 2 decimal places)
Therefore the original price was £26.32
Find the 8th term of the geometric sequence 3, -12, 48, ...
Answer:
a(8) = -49152
Step-by-step explanation:
Step 1: Find r
-12/3 = 4
Step 2: Write geometric explicit formula
[tex]a_{n} = 3(4)^{n-1}[/tex]
Step 3: Plug in 8th term for n
[tex]a_{8} = 3(4)^{7}[/tex]
a(8) = -49152
Alternatively you can find r then multiply 3 by -4 8 times.
in the year 2012 a farmer harvested 144 bags of maize.the following year the harvest decreased in the ratio 3:4.What was the total number of bags harvested for the two years
Answer:
252 bags of maize
Step-by-step explanation:
From the question, we are told that a farmer harvested maize
In the year 2012 = 144 bags of maize
In the year 2013(following year) the harvest decreased in the ratio 3:4
This means
3:4 = 2013: 2012.
Where number of bags harvested in 2013 = unknown = x
3/4 = x/ 144
Cross multiply 4x = 3 × 144
x = 3 × 144/ 4
× = 108
This means 108 bags of maize was harvested in 2013
The total number of bags harvested is = 108 + 144
= 252 bags of maize.
Triangle ABC is dilated about the origin by a factor of 2, reflected in the x-axis, rotated 180°, and translated 2 units to the right and 4 units down to form triangle XYZ. Which statement is true? a. The two triangles are congruent because the each transformation is a rigid motion. b. The two triangles are not congruent because the orientation is changed. c. The two triangles are congruent because the orientation did not change. d. The two triangles are not congruent because dilation is not a rigid motion.
Answer:
d. The two triangles are not congruent because dilation is not a rigid motion.
Step-by-step explanation:
Triangle ABC is dilated about the origin b a factor of 2. It is then reflected and translated to form Triangle XYZ.
The new triangle formed is not congruent to ABC because the image is not the same size as the pre-image. It is only rigid transformations that preserve length, however dilation is not a rigid transformation.
there are only blue cubes, yellow cubes and green cubes in a bag there are 3 times as many blue cubes as yellow cubes and five times as many green cubes as blue cubes Sarah takes a random cube from the bag. what is the probability she takes a yellow cube give your answer in its simplest form.
Answer:1/11
Step-by-step explanation:
Let the yellow cubes be x
yellow = x
blue = 2x // Blue cubes is twice of yellow
Green = 8x // Green is four times of blue
Ratio:
Yellow : Blue : Green
1 : 2 : 8
P(Yellow) = 1/11
9 1/3 divided by 7 what is the answer i am having trouble?
Answer:
4/3
Step-by-step explanation:
9 1/3 ÷ 7
Convert the mixed fraction to improper fraction.
28/3 ÷ 7
Reciprocal second fraction.
28/3 × 1/7
Multiply the fractions.
28/21
Simplify the fraction.
4/3
Answer:
[tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
=> [tex]9 \frac{1}{3} / 7[/tex]
=> [tex]\frac{28}{3} * \frac{1}{7}[/tex]
=> [tex]\frac{4}{3}[/tex]
=> [tex]1\frac{1}{3}[/tex]
If f(x) = x3 and g(x) = 2x + 7, what is
f(g(x)] when g(x) = -1?
Hey there! :)
Answer:
125.
Step-by-step explanation:
When g(x) = -1:
g(-1) = 2(-1) + 7
g(-1) = -2 + 7
g(-1) = 5
Plug this into f(x) since the question is asking for f(g(x)):
f(x) = x³
f(5) = 5³
f(5) = 125.
Answer:
-1
Step-by-step explanation:
f(x) = x^3
g(x) = 2x + 7
f(g(x)] =
Let g(x) = -1
Replace g(x) with -1
f(g(x) = f(-1) = (-1)^3 = -1
A rectangle has a length 2 cm larger than its width.
(a) If the perimeter of the rectangle is 14 cm, what are the dimensions of the reciangle?
(b) If the area of the rectangle is 63 cmwhat are the dimensions of the rectangle?
(a) The width of the rectangle is cm, and the length of the rectangle is cm.
(Type an integer or a decimal)
>
Please answer this question
Answer:
[tex]9[/tex]
Step-by-step explanation:
[tex](-1)^4-(-1)^3+(-1)^2+6[/tex]
[tex]1-(-1)+1+6[/tex]
[tex]1+1+1+6[/tex]
[tex]3+6=9[/tex]
Answer:
Option 2
Step-by-step explanation:
p(t) = [tex]t^4-t^3+t^2+6[/tex]
Putting t = -1
p(-1) = (-1)⁴-(-1)³+(-1)²+6
p(-1) = 1-(-1)+1+6
p(-1) = 1+1+7
p(-1) = 9
YO PLZ HELP ME W DIS ASAP!!!
Answer:
-6 < y < ∞
Step-by-step explanation:
The range is the value of the output, in this case the value of y
The value is from -6 not including -6 to infinity
-6 < y < ∞
Answer:
C. from -6 to infinity
Step-by-step explanation:
The range is the set of the y-coordinates of the points of the function.
The lowest value of y is -6 or just greater than -6.
All values greater than y are also part of the range.
Answer: Choice C. from -6 or just greater than -6 to infinity
What is the total value in cents of x quarters, y nickels, and z pennies?
Answer:
25x + 5y + z cents
Step-by-step explanation:
1 quarter is worth 25 cents.
1 nickel is worth 5 cents.
1 penny is worth 1 cent.
Therefore, x quarters, y nickels and x pennies will be worth:
(x * 25) + (y * 5) + (z * 1)
= 25x + 5y + z cents
Add, and write the answer in simplest form.
1/16 + 9/16
Answer:
5/8
Step-by-step explanation:
Step 1: Add
1/16 + 9/16 = 10/16
Step 2: Divide both numerator and denominator by 2
10/2 = 5
16/ 2 = 8
Our answer is 5/8!
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
1 + 9 = 10
same denominator so it stays the same
[tex]\frac{10}{16}[/tex] ÷ [tex]\frac{2}{2} = \frac{5}{8}[/tex]
simplify 12ab/4a-8ab
Answer:
12ab / 4a - 8ab
= 4a(3b)/ 4a(1 - 2b)
= 3b / 1 - 2b
Hope this helps
Please help me with this maths homework
Answer:
The transformation is
reflection in the x axis
That's ( x , - y)
Hope this helps.
ABC is a triangle inscribed in a circle AB=AC=10cm , BC=16cm. The chord AE is at right angle to the chord BC at D.Calculate DE and the radius of the circle
the sum of two consecutive odd numbers is 88 find the numbers
Answer:
43,45
Step-by-step explanation:
43+45=88
Answer:
43 & 45
Step-by-step explanation:
Let the numbers be x, x+2 (because they are consecutive i.e. coming one after another)
Condition:
x + x+2 = 88
2x = 88-2
2x = 86
Dividing both sides by 2
x = 43
Now, the numbers:
x = 43
x+2 = 45
LAST ONE!! y is directly proportional to the square of x. Given that y=32 when x=4, find the value of x when y=18
Answer:
±3
Step-by-step explanation:
y is directly proportional to the square of x.
[tex]y \propto x^{2}[/tex]
[tex]y = kx^{2}[/tex]
Find the value of k constant when y=32 and x=4.
[tex]32=k(4)^2[/tex]
Square the number 4.
[tex]32=16k[/tex]
Divide both sides with 16.
[tex]32/16=k[/tex]
[tex]k=2[/tex]
The value of k constant is 2.
Find the value of x when y=18
[tex]y=2x^2[/tex]
[tex]18=2x^2[/tex]
[tex]18/2=x^2[/tex]
[tex]9=x^2[/tex]
[tex]x= \± \sqrt{9}[/tex]
[tex]x=\± 3[/tex]
The value of x when y = 18 is ±3.
On your own paper graph each system of equations and then describe it:
y=x+4
Y= -x-4
Select one:
a. inconsistent
b. consistent and dependent
C. consistent and independent
d. can not be determined
Answer:
The system of equations is consistent and independent
Step-by-step explanation:
Given system of equations :
[tex]y=x+4\\y= -x-4[/tex]
Consistent : For a two variable system of equations to be consistent the lines formed by the equations have to meet at some point or they have to be parallel.
Inconsistent :If the system of equations is not consistent then it is inconsistent.
Dependent:A dependent system of equations has infinite solutions
Independent :An independent system has a single solution.
Plot the lines on graph
y=x+4 --- Blue line
y=-x+4 ---- Green line
Refer the attached graph
The lines formed by the equations intersect at one point
So the lines are consistent
Now the given system of equations has single solution . So, it is independent
So, Option C is true
Hence The system of equations is consistent and independent
what is the length of BC in the right triangle below
Answer:
15 unitsThe length of BC is 15 units.
Solution,
Hypotenuse(h)=?
perpendicular(p)=12
base(b)=9
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {h}^{2} = {12}^{2} + {9}^{2} \\ or \: {h}^{2} = 12 \times 12 + 9 \times 9 \\ or \: {h}^{2} = 144 + 81 \\ or \: {h}^{2} = 225 \\ or \: h = \sqrt{225} \\ or \: h = \sqrt{ {15}^{2} } \\ h = 15[/tex]
hope this helps...
Good luck on your assignment....