Answer:
t=7n
Step-by-step explanation:
t is the total
$7 per item, so 7n
Aaron's goal is to read an average (mean) of 26 pages per day for 6 days. During the first 5 days, he reads 23 pages per day. How many pages must he read on the 6th day to reach his goal
A. 26
B. 19
Aaron has to read 41 pages on the 6th day to reach his goal.
What is the speed of reading?
Any of the many methods that promise to increase one's reading speed include speed reading. Chunking is one speed-reading technique, as is reducing subvocalization. The many available speed-reading training programs may utilize books, videos, software, and seminars.
We have,
26 pages per day for 6 days:
26×6=156,
So Aaron should read 156 pages by the 6th day to reach his goal,
During the first 5 days, he reads 23 pages per day then,
23 × 5 = 115
That’s how many pages he’s already read.
156-115=41
Hence, Aaron has to read 41 pages on the 6th day to reach his goal.
To learn more about the speed of reading visit,
https://brainly.com/question/15460215
#SPJ4
Compare 160 and 115/9 using <, >, or =.
The correct comparison between the given numbers ; √160 and 115 / 9 is; 115 / 9 > √160.
Which sign correctly compares the given numbers?It follows from the task content that the sign which correctly compares the two numbers as given in the task content be determined.
Since the given numbers in the task content can be evaluated as follows;
√160 = 12.64911064.
115 / 9 = 12.7777777778
From the results of the evaluations as represented above, since 12.7777777778 is greater than 12.64911064, it follows that the 115 / 9 > √160.
Therefore, the required correct comparison is;
115 / 9 > √160
The answer choice which is correct is as represented above.
Read more on equality and inequality;
https://brainly.com/question/25275758
#SPJ1
To finish an order on time, a company has to produce 40 items each day. But the company manages to complete 20 more items each day than it needs to, and finishes the order 3 days ahead of time. In how many days was the company supposed to finish the order?.
The company was supposed to finish the order in 9 days.
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Here, we have
The company must have produced 60 items daily if it produced 20 more than the daily average of 40 items.
The company had 120 products to make, which should have taken three days (120 items, 40 items/day), but it finished in just two days (120 items, 60 items/day). They completed this order one day earlier than expected.
However, the issue is that they completed 3 days ahead of schedule. Thus, our estimate is 360 items or three times 120 items.
According to this, they should have completed their order in 9 days (360 things, at a rate of 40 items per day), but they did so in 6, at a rate of 60 items per day. Since 6 is three fewer than 9, our assumption of 360 items was accurate.
We've demonstrated that the business should have completed the order in 9 days.
Let the desired number of days be x.
Then, the company finished its order in x - 3 days.
Since the number of items produced is the number of days times items per day, and it doesn't change:
number of items = 40 items/day * x days
= 60 items/day * (x - 3) days
40x = 60(x - 3) = 60x - 180
180 = 20x
x = 9
Hence, the company was supposed to finish the order in 9 days.
To learn more about the linear equation from the given link
https://brainly.com/question/13738662
#SPJ4
FILL IN THE BLANK. if -4 -1 and 1 1 are eigenvectors of a matrix corresponding to the eigenvalues and , respectively, then and___.
If -4 -1 and 1 1 are eigenvectors of a matrix corresponding to the eigenvalues and , respectively, then and x.
Are the eigenvalues and eigenvectors of matrix A the same?An eigenvalue is connected to each of A's eigenvectors. Consequently, we can refer to this eigenvector as X1 if 1 is an eigenvalue of A and AX=1X. Remember that X must not be 0 in order to be an eigenvector. Eigenvectors have a geometric meaning as well.A nonzero vector x such that Ax x for some scalar is an eigenvector of a n n matrix A. If there is a nontrivial solution x of Ax x, the scalar is referred to as an eigenvalue of A; the associated x is referred to as an eigenvector.To learn more about eigenvectors refer to:
https://brainly.com/question/15423383
#SPJ4
find the value of the constant c which makes fx|y (x, y) a valid conditional probability mass function.
c=1/2 which makes fx|y (x, y) a valid conditional probability mass function.
What is conditional probability?
The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is determined by multiplying the likelihood of the earlier event by the increased likelihood of the later, or conditional, event.
Given that;
p(x) = [tex]c (\frac{2}{3} )^n[/tex] where x = 1,2,3,........
for getting value of c we are using the expression :
[tex]\sum_{n=1}^{\infty} c(\frac{2}{3})^n = 1[/tex]
[tex]c\sum_{n=1}^{\infty} (\frac{2}{3})^n = 1[/tex]
Since we want p(x) to be a Probability Mass Function, your approach is correct, since for any such function
fX:A→[0,1],X:S→A⊆R, it is :
[tex]\sum _{x\in A} \ fX(x)=1[/tex]
As long as you've correctly understood that condition, you can proceed with your specific exercise as follows:
[tex]\sum_{n=1}^{\infty} c(\frac{2}{3})^n = 1[/tex]
⇔ [tex]c\sum_{n=1}^{\infty} (\frac{2}{3})^n = 1[/tex]
⇔2c = 1
⇔c = 1/2
Hence c = 1/2 is the valid conditional probability mass function.
Learn more about conditional probability click here:
https://brainly.com/question/10739997
#SPJ4
a farmer plans to make two identical and adjacent rectangular pens against a barnone pen for sheep, te other for pigs, each with the same area he has 48 feet of fencing to make the pens
The Length and width of each pen is 6 feet by 8 feet. The 8 feet side is the adjacent side
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
Let x and y represent the length and width of the ship pen (or pig pen) since they have same area and y is the adjacent side. Since both pens are adjacent to each other, he has 48 feet of fencing to make the pens, hence:
Perimeter = x + x + y + x + x + y + y
48 = 4x + 3y
4x = 48 - 3y
x = 12 - (3/4)y
Area = (x + x)y
Area (A) = 2xy
substituting, x = 12 - (3/4)y:
A = 2(12 - (3/4)y)y
A = 24y - (3/2)y²
The maximum area is at A' = 0:
A' = 24 - 3y
24 - 3y = 0
3y = 24
y = 8 feet
x = 12 - (3/4)y = 12 - (3/4)(8) = 6 feet
The Length and width of each pen is 6 feet by 8 feet.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Suppose a credit card has an APR of 22.41% and changes its compounding period from daily to monthly. What will happen to the effective interest rate charged by the credit card?
If the credit card changes its compounding period from daily to monthly, then the effective interest rate charged on the credit card will decline.
How to find the effective interest rate?To find the effective interest rate on the credit card when it had a daily compounding period, use the formula:
= ( 1 + APR / Number of times for compounding in a year) ^ Number of times for compounding in a year - 1
= ( 1 + 22.41% / 365) ³⁶⁵ - 1
= 25.11%
When the credit card changes to a monthly compounding period, we get:
= ( 1 + 22.41% / 12) ¹² - 1
= 24. 86%
The effective interest rate therefore fell.
Find out more on effective interest rate at https://brainly.com/question/16809025
#SPJ1
I need to sort these based on the way you would find their congruency. I already sorted them, just tell me if I am right. Make sure it also corresponds with what the left says the triangle has to be. Thanks!
Assuming that ΔABC has equal sides AB and AC, we can say that AD is parallel to BC hence∠A=∠B.
What is Congruency?
ongruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
from △ABD and △ACD,
AB=AC ,AD is common
∠ADB=∠ADC, since both are right angles.
by SSA congruence
△ABD≅△ACD
therefore base angles are equal.
use sine rule,
a/sinA = b/sinB = c/sinC
by definition of isosceles triangle, any two sides are equal
w.l.o.g. let, a=b
asinA=asinB=csinC
asinA=asinB
aa=1=sinAsinB
⟹sinA=sinB
and ∠A and ∠B are less than 180.
therefore ∠A=∠B
Learn more about congruent click here:
https://brainly.com/question/2938476
#SPJ4
What is the 200th term in this sequence: 21, 29, 37, 45, 53, ...?
A(200) =
Hence, the [tex]200th[/tex] term in the sequence is [tex]1613[/tex].
What is the sequence?
A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.
Here given that,
The sequence is
[tex]21,29,37,45,53,...[/tex]
The general formula is
[tex]a_n=a_1+d(n-1)[/tex]
[tex]a_1=21[/tex]
[tex]d=a_2-a_1\\d=29-21\\d=8[/tex]
Substitute it in the general formula is
[tex]a_2_0_0=21+8(200-1)\\a_2_0_0=21+8(199)\\a_2_0_0=21+1592\\a_2_0_0=1613[/tex]
Hence, the [tex]200th[/tex] term in the sequence is [tex]1613[/tex].
To know more about the sequence
https://brainly.com/question/28615767
#SPJ1
Jorge has 18 fish for his dog sled team that he wants to divide into smaller pieces. How many pieces of fish would there be if Jorge divided each fish into tenths?
0.18
1.8
180
1,800
help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!
a. [tex]123.1(1.069)^3 \approx 150.4[/tex]
b. [tex]123.1(1.069)^{20} \approx 467.5[/tex]
x - 4y = -8
3x + 8y = 12
Answer: y = 1.8
x = -0.8
Step-by-step explanation:
From equation 1, x = -8 + 4y
Substitute this in equation 2,
3 (-8 + 4y) + 8y = 12
-24 + 12y + 8y = 12
20 y = 12+ 24
20 y = 36
y = 36/20
y = 1.8
Substitute value of y in any equation: x = -0.8
Answer:
see photo
Step-by-step explanation:
Arrange your terms
substitute
solve for y
solve for x
random samples of size 64 are taken from an infinite population whose mean and standard deviation are 240 and 16, respectively. the distribution of the population is unknown. the mean and the standard error of the mean are
The standard error of the mean is 2.
n = 64
X = 152
s = 16
Standard error: 5/[tex]\sqrt{x}[/tex]
= 16/[tex]\sqrt{64}[/tex]
=2
what is standard error?
The statistical standard error (SE) is the approximate standard deviation of a statistical sample population.
Standard error is a statistical term that uses standard deviation to measure how well a sampling distribution represents a population. In statistics, the sample mean is different from the actual mean of the population. This deviation is the standard error of the mean.
Therefore, The standard error of the mean is 2.
To know more about standard error, check out:
https://brainly.com/question/1191244
#SPJ4
Parallel & perpendicular lines
Answer:Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Light travels
9.45
⋅
1
0
15
9.45⋅10
15
9, point, 45, dot, 10, start superscript, 15, end superscript meters in a year. There are about
3.15
⋅
1
0
7
3.15⋅10
7
3, point, 15, dot, 10, start superscript, 7, end superscript seconds in a year.
How far does light travel per second?
Write your answer in scientific notation.
The distance travelled per second (i.e speed) of the light is 3×10⁸ m/s
How do I determine the distance traveled per second of the light?Distance travelled per second is known as speed. It can be expressed as:
Speed = distance / time
With the above formula, we can obtain the distance traveled per second of the light, Details below
From the question given, the following were obtained:
Distance = 9.45×10¹⁵ metersTime = 3.15×10⁷ secondsDistance per second =?Speed = distance / time
Distance per second = 9.45×10¹⁵ / 3.15×10⁷
Distance per second = 3×10⁸ m/s
From the calculation made above, we can conclude that the distance per second is 3×10⁸ m/s
Learn more about speed:
https://brainly.com/question/1861559
#SPJ1
Functions f, g, and h are defined as follows: f(x) = x − 2, g(x) = 2x^2 − 1, and h(x) =
2x^3 + 4.
(a) Find the inverse of function g(x).
(b) Find f(h(-2))
(c) Find g(f(5))
(those are NOT answer choices but different parts needed to be answered. Please show all work for brainliest)
The inverse function of g is g⁻¹(x) = √(x/2 + 1/2)
The value of f(h(x)) is -14The value of g(f(5)) is 17How to determine the inverse function of g?From the question, we have the following equations
f(x) = x - 2
g(x) = 2x² - 1
h(x) = 2x³ + 4
To determine the inverse function of g, we start by making the function f(x) as an equation
So, we have
y = 2x² - 1
Swap variables x and y
x = 2y² - 1
Add 2 to both sides
2y² = x + 1
Divide by 2
y² = x/2 + 1/2
Square root both sides
This gives
y = √(x/2 + 1/2)
So, we have
g⁻¹(x) = √(x/2 + 1/2)
How to determine f(h(x))Here, we have
f(x) = x - 2
h(x) = 2x³ + 4
This gives
f(h(x)) = h(x) - 2
So, we have
f(h(x)) = 2x³ + 4 - 2
Evaluate
f(h(x)) = 2x³ + 2
So, we have
f(h(x)) = 2(-2)³ + 2
Evaluate
f(h(x)) = -14
How to determine g(f(x))Here, we have
f(x) = x - 2
g(x) = 2x² - 1
This gives
g(f(x)) = 2(f(x))² - 1
So, we have
g(f(x)) = 2(x - 2)² - 1
So, we have
g(f(5)) = 2(5 - 2)² - 1
Evaluate
g(f(5)) = 17
Hence, the functions g(f(5)) is 17
Read more about inverse function at
https://brainly.com/question/14796161
#SPJ1
Answer:
a) g^-1(x) = - √2x+1, √2x+1
2 2
b) -14
c) 17
Step-by-step explanation:
a) g(x) = 2x² - 1
y= 2x² - 1 becomes x = 2y² - 1
Solve for y: x = 2y² - 1
g^-1(x) = - √2x+1, √2x+1
2 2
*answer is: -√2x+1 (over) 2 & √2x+1 (over) 2*
b) Find: f(h(-2))
h(x) = 2x³ +4
h(-2) = 2(-2)³ + 4
= - 12
f(x) = x – 2
f(-12) = (-12) – 2
= -14
c) Find: g(f(5))
f(x) = x – 2
f(5) = (5) – 2
= 3
g(x) = 2x² - 1
g(3) = 2(3)² - 1
= 17
Write the equation of a line that is perpendicular to the line y=1/2x-6 and passes through the point (-1,5)
The equation of the line that is perpendicular to y = 1/2x - 6 and that passes through the point (-4, -5) is y = -2x + 3
Equation of a straight line passing through a given pointFrom the question, we are to determine the equation of the line that is perpendicular to the given line and that passes through the given point.
The given equation is y = 1/2x - 6
The given point is (-1, 5)
NOTE: If two lines are perpendicular, then their slopes are negative reciprocals of each other
First, we will determine the slope of the given line
y = 1/2x - 6
Compare to the general form of an equation of a straight line
y = mx + b
Where m is the slope
and b is the y-intercept
Therefore,
The slope of the line is 1/2
But,
The negative reciprocal of 1/2 is -2
Thus, the slope of the equation we are to determine is -2
Now, we will determine the equation of the line that has a slope of -2 and that passes through the point (-1, 5)
Using the point-slope form of the equation of a straight line
y - y₁ = m(x - x₁)
Then,
y - 5= -2(x - (-1))
y - 5 = -2(x + 1)
y - 5 = -2x -2
Add 5 to both sides of the equation
y - 5 + 5 = -2x - 2 + 5
y = -2x + 3
Hence, the equation of the line is y = -2x + 3
Learn more on Equation of a straight line here: https://brainly.com/question/7098656
#SPJ1
1.ABCD is a rhombus whose one side is 13cm, OA = 12cm and OD = 5cm. Write the property used.
a) Find its perimeter. b) Find the length of OC and DB.
Answer:the legth is 40
Step-by-step explanation:
Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What was his hourly pay rate? Sami made $ v per hour and $v per week.
$450
Step-by-step explanation:
The total income that Sam made last year is $23,400.
Since he worked 30 hours per week and worked all 52 weeks of the year, it means that the total number of hours that he worked for the year would be
52×30 = 1560 hours.
To determine how much Sam made per hour, we would divide the total amount made for the year by the number of hours worked. It becomes
Hourly rate = 23400/1560 = $15
Since Sam earns $15 per hour and he works 30 hours in a week, it means that his weekly rate would be
15×30 = $450
Answer:
15 per hour
450 a week
Step-by-step explanation:
52*30=1560 hours(total)
23400/1560=15
Jorge wants to buy a drink. Which option is cheaper per ounce: one 24-ounce cup for $1.92 or two 12-ounce cups for $0.96 each?
The 24-ounce cup costs $0.08 per ounce, and the 12-ounce cups cost $0.085 per ounce. The 24-ounce cup is the cheaper option.
The 24-ounce cup costs $0.08 per ounce, and the 12-ounce cups cost $0.085 per ounce. The two 12-ounce cups are the cheaper option.
The 24-ounce cup costs $0.085 per ounce, and the 12-ounce cups cost $0.08 per ounce. The two 12-ounce cups are the cheaper option.
The cost per ounce in both options is the same.
The cost per ounce in both options is the same. Then the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The rate is the ratio of the amount of something to the unit.
Jorge wants to buy a drink.
Choice 1: 24-ounce cup for $1.92
Choice 2: 12-ounce cups for $0.96 each
The cost per ounce in choice 1 is calculated as,
⇒ $1.92 / 24
⇒ $0.08 per ounce
The cost per ounce in choice 2 is calculated as,
⇒ $0.96 / 12
⇒ $0.08 per ounce
The cost per ounce in both options is the same. Then the correct option is D.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
I need help to get these answers
The quadratic function, f(x) = 3·x² + 6·x, has the following values;
1. The function has a minimum value
2. The y-intercept of the function is (0, 0)
The axis of symmetry is; x = -1
The x-coordinate of the vertex is; x = -1
3. The table of values can be presented as follows;
x [tex]{}[/tex]-2 -1 0
f(x) [tex]{}[/tex]0 -3 0
The vertex is (-1, -3)
4. Please find attached the graph of the function
What is a quadratic function?A quadratic function is a function that has 2 as the highest power of the variables.
The specified function is; f(x) = 3·x² + 6·x
1. The coefficient of x² in the specified quadratic function, which indicates the existence of a minimum or maximum value is positive, therefore, the function has a minimum value
2. The y-intercept is the value of the function when x = 0, therefore;
f(0) = 3 × 0² + 6 × 0 = 0
Therefore, at the y-intercept, x = 0, and f(x) = 0
The y-intercept is (0, 0)
The axis of symmetry is a line that passes through the vertex
A the vertex, we get, f'(x) = 6·x + 6 = 0
Therefore; 6·x + 6 = 0
6·x = -6
x = -6/6 = -1
f(-1) = 3·(-1)² + 6 × (-1) = -3
The vertex is (-1, -3)
Therefore, the axis of symmetry is the line x = -1
The x-coordinate of the vertex of the function is; x = -1
3. A table of values for the function can be presented as follows;
x [tex]{}[/tex] f(x)
-6 [tex]{}[/tex] 72
-5 [tex]{}[/tex] 45
-4 [tex]{}[/tex] 24
-3 [tex]{}[/tex] 9
-2 [tex]{}[/tex] 0
-1 [tex]{}[/tex] -3
0 [tex]{}[/tex] 0
1 [tex]{}[/tex] 9
2 [tex]{}[/tex] 24
3 [tex]{}[/tex] 45
4 [tex]{}[/tex] 72
5 [tex]{}[/tex] 105
4. . Please find attached the graph of the function created with MS Excel
Learn more about quadratic functions in algebra here:
https://brainly.com/question/29374664
#SPJ1
Find the slope of the line below
Answer: The slope is 0
Step-by-step explanation: Hope this helps:)
Answer: option D is Answer
Step-by-step explanation:
First we have to assume that (0,1) and (2,1) are the points of the line.
To calculate the slope of a line we have a formula ,m=(y2-y1)/(x2-x1)
After that consider x1=0,x2=2,y1-1,y2=1
Then substitute these values in above formula: m=1-1/2-0
Then we get undefined value.
so..ans is undefined.
To learn more about slope of the line
https://brainly.com/question/28912703
an 800 g steel plate has the shape of the isosceles triangle shown in the figure(figure 1).
The x- and y-coordinates of the center of mass are; (20, 0)
What is the center of mass of an object?The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.
The mas of the steel plate = 800 g = 0.8 kg
The base length of the isosceles triangular plate = 20 cm = 0.2 m
The height of the isosceles triangular plate = 30 cm = 0.3 m
Considering a small strip of height, dx and width, I, we get
Area of small strip, dA = I·dx
Density of the plate for a unit thickness, ρ = M/A
Density of the small strip of mass dm = dm/dA
Considering the density of the plate as uniform, we get;
[tex]\displaystyle {\frac{dm}{dA} =\frac{M}{A}[/tex]
Therefore;
[tex]\displaystyle {dm=\frac{M}{A}\times dA}[/tex]
The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²
Mass of the plate, M = 0.8 kg
Therefore;
[tex]\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}[/tex]
The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;
[tex]\dfrac{I}{20} = \dfrac{x}{30}[/tex]
[tex]I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x[/tex]
Therefore;
[tex]\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}[/tex]
The center of mass, [tex]x_{cm}[/tex], can be obtained with the formula; [tex]\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }[/tex]
Therefore; [tex]\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }[/tex]
[tex]\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx[/tex]
[tex]\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0[/tex]
[tex]\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2[/tex]
The location of the x-coordinate center of mass, [tex]x_{cm}[/tex] = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.
The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is [tex]y_{cm}[/tex] = 0
The coordinate of the center of mass = (0.2, 0)
Part of the question requires the location of the coordinate of the center of mass of the triangular plate
Learn more about the center of mass of regular shapes here:
https://brainly.com/question/28021242
#SPJ1
John is playing a game of darts. the probability that he throws a dart into the center of the dart board (the bull’s eye) is . the probability that he throws the dart into the 10-point ring is . what is the probability that he either hits a bull’s eye or scores 10 points? three concentric circles with the inner circle labeled as bull's eye. the middle circle is labeled as 10 points, and the outer circle is labeled as 5 points. a. b. c. d. e.
Probability that he either hits a bullseye or score 10 points is x+y.
What is addition of probability?
Picture of what probability addition looks like Basic Addition Probability rule. Probability in mathematics determines how likely an event is to occur. For instance, there is no way to predict which of a die's six faces would be up while rolling the die. Probability, however, indicates that there is only a 1/6 chance that each face will result from a single die toss.
we can assume that probability of dart hitting the centre of dart board is x.
and probability of dart hitting the 10 points ring is y. as not properly given in question.
then, probability that he either hits a bullseye or score 10 points is x+y.
Learn more about addition of probability link below.
https://brainly.com/question/25839839
#SPJ4
For questions 7-9, factor each polynomial completely over the set of complex
numbers.
7. a(x)=2x²-3x³-24x² +13x+12
8. b(x) = x² − 2x³ −17x² +4x+30
9. c(x)=2x³-5x² +12x-5
PLEASE SHOW WORK
Answer:
answers attached int he files below all in order
Find the GCF of 70, 20, and 50
Answer:
Step-by-step explanation:2 is the largest factor that can be divided by all 20 50 and 70.
Answer:
10
Step-by-step explanation:
10 is the largest factor these three numbers share.
Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?The graph of f(x) passes the vertical line test.f(x) is a one-to-one function.The graph of the inverse of f(x) passes the horizontal line test.f(x) is not a function.
Answer: Choice B) f(x) is a one-to-one function
What this means is that each x input lands on a unique y output. For example, plugging x = 0 leads to y = -3. No other x value will lead to y = -3. This allows us to find the inverse.
The vertical line test is used to see if we have a function or not. The horizontal line test is used to see if an inverse is possible.
The phrasing "The graph of the inverse of f(x) passes the horizontal line test" is close, but we need to erase "the inverse of" to have choice C be useful. In other words, if choice C said "The graph of f(x) passes the horizontal line test", then it would be correct and useful.
Side note: Another term for "one-to-one" is "injective".
What is the slope of the line that passes through the points (3, 9)(3,9) and (7, 5)(7,5)? write your answer in simplest form.
The Slope of the line that passes through the point (3,9) and (7,5) in simplest form is -1 .
The Slope of line passing through points (a,b) and (c,d) is calculated using formula ,
Slope = (d - b)/(c - a)
and slope is denoted by letter "m" .
In the question ,
it s given that ,
the line is passing through the points (3,9) and (7,5) and
we have to find the slope ,
substituting values from the given point in slope formula ,
we get ,
slope (m) = (5-9)/(7-3)
Simplifying further , we get
= -4/4
= -1
Therefore , the slope of required line is -1 .
The given question is incomplete , the complete question is
What is the slope of the line that passes through the points (3,9) and (7, 5) ? write your answer in simplest form.
Learn more about Slope here
https://brainly.com/question/4193335
#SPJ4
solve for x under the assumption that x >0 x-70/x<-3
x under the assumption that x >0 x-70/x<-3, x > -35
WHAT IS INEQUALITY?
Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income (the quantity of money people get paid) (the amount of wealth people own). There are significant forms of economic inequality among various groups of people in addition to economic inequality between nations or states. Wealth, income, as well as consumption are the three main focuses of significant economic measurements. There are numerous ways to gauge economic inequality, with the Gini coefficient being among the most popular. The Disparities Human Development Index is a statistic composite index which offers another type of measurement by taking inequality into account.
assuming x > 0,
(x-70/x) < 3
= x-70 < 3x = -70 < 2x
= x > -35
to know more about inequality click on the below given link
https://brainly.com/question/25275758
#SPJ1
The table of values below represents inverse variation. What is the value of k?
Answer:
B) k = 30---------------------------
It is assumed the first column represents x- values and the second column represents y- values.
Inverse variation equation:
y = k/x, where k is constant.Substitute one pair of coordinates, x = 3, y = 10:
10 = k / 3k = 10*3k = 30Correct choice is B.
Answer:
b) k = 30
Step-by-step explanation:
Formula we use,
→ y = k/x
Now the value of k will be,
→ y = k/x
→ 10 = k/3 || → 6 = k/5
→ k/3 = 10 || → k/5 = 6
→ k = 10 × 3 || → k = 6 × 5
→ [ k = 30 ] || → [ k = 30 ]
Hence, the value of k is 30.
