Question:
A fair die is tossed.
Find the probability of obtaining an even number
Answer:
sample space=(1,2,3,4,5,6)
number of favourable outcomes=3
Event A= (outcome is even)
= (2,4,6)
Total number of outcomes=6
Thus, P(even number)=3/6
=1/2
Question 2:
A drawer contains 10 identical handkerchiefs of which 2 are white, 5 are blue, and 3 are pink. A handkerchief is drawn at random. what is the probability that it is white or pink?
Answer:
total number of outcomes=10
P(the handkerchief is white or pink)=2+3/10
=5/10
=1/2
If y varies inversely as x, and y = 58 when x = 9, find y when x = 261.
Answer:
2
Step-by-step explanation:
y=k/x
58=k/9
k=58×9
k=522
y=522/x
when x=261
y=522/261
y=2
[tex]2^{x^2-5x}=\frac{1}{64}[/tex]
Answer:
2, 3
Step-by-step explanation:
See attached images for work.
angle A and angle B are a linear pair. If measure of angle A = 4x-10 and measure of angle B = 3x+43, find the measure of angle A and measure of angle B
Answer:
See below ~
Step-by-step explanation:
Linear pairs add up to 180 degrees.
⇒ 4x - 10 + 3x + 43 = 180
⇒ 7x + 33 = 180
⇒ 7x = 147
⇒ x = 21
∠A = 4(21) - 10
∠A = 84 - 10
∠A = 74°
∠B = 3(21) + 43
∠B = 63 + 43
∠B = 106°
neeeed helppp asapp
Answer:
y=3x-1
Step-by-step explanation:
Write the algebraic expression for the following statement.
A number decreased by 7 is 5.
Answer:
the algebraic expression is ; x-7=5
Hey I need to point of rotation for this question. Need the answer asap :)
Answer:
see explanation
Step-by-step explanation:
the vertices of S under the translation [tex]\left[\begin{array}{ccc}0\\-3\\\end{array}\right][/tex] are
(2, 3 ) → (2, 0 )
(6, 3 ) → (6, 0 )
(4, 5 ) → (4, 2 )
Under an anticlockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) then the above coordinates become
(2, 0 ) → (0, 2 )
(6, 0 ) → (0, 6 )
(4, 2 ) → (- 2, 4 )
which are the coordinates of the vertices of the image T
then the rotation is 90° anticlockwise about the origin , point (0, 0 )
Answer:
Below
Step-by-step explanation:
the vertices of S under the translation are
(2, 3 ) → (2, 0 )
(6, 3 ) → (6, 0 )
(4, 5 ) → (4, 2 )
Under an anticlockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) then the above coordinates become
(2, 0 ) → (0, 2 )
(6, 0 ) → (0, 6 )
(4, 2 ) → (- 2, 4 )
which are the coordinates of the vertices of the image T
then the rotation is 90° anticlockwise about the origin , point (0, 0 )
How many cubes are needed to build this figure?
4
6
5
3
Answer:
3
Step-by-step explanation:
because I sense three and You need
It took for 4 butterflies to give birth to 4 larvae. how many larvae would 12 butterflies give birth to in 12 days
12 butterflies would give birth to 36 larvae in 12 days, if It took 4 days for 4 butterflies to give birth to 4 larvae.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
It took 4 days for 4 butterflies to give birth to 4 larvae. After 4 days, each butterfly produces a larvae
Hence for 12 butterflies in 12 days:
number of larvae = 12 butterflies * (12 days /4 days per larvae) = 36 larvae
12 butterflies would give birth to 36 larvae in 12 days, if It took 4 days for 4 butterflies to give birth to 4 larvae.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
An ongoing promotion at a department store gives customers 20\%20%20, percent off the portion of their bill that is over \$100$100dollar sign, 100. Ruby's total bill at the department store after the promotion has been applied is \$250$250dollar sign, 250. If xxx represents the amount of money Ruby would have spent on the same purchase at the department store without the promotion, which of the following equations best models the situation?
The equation best models the situation 100 + 0.8(x - 100) = 250.
The correct option is (D)
What is equation?
An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.
The complete question is:
An ongoing promotion at a department store gives customers 20% off the portion of their bill that is over $100. Ruby's total bill at the department store after the promotion has been applied is $250. If x represents the amount of money Ruby would have spent on the same purchase at the department store without the promotion, which of the following equations best models the situation?
A. 0.2x + 100 = 250
B. 0.8x + 100 = 250
C. 100 + 0.2(x - 100) = 250
D. 100 + 0.8(x - 100) = 250
Given:
Department store gives 20 % off the portion of the bill that is over 100 dollars.
Total bill = 250
let x is the amount of money she would have spent without the promotion.
Then, cost after discount applies = 0.8 ( x - 100 ).
Hence, the equation is 100 + 0.8 (x - 100) = 250.
Learn more this concept here:
https://brainly.com/question/10952401
#SPJ1
Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. what is the area of the top surface of this wedge? , 1 of 2. select choice square centimeters
Using the area of a sector formula, we get the area to be:
[tex]\pi (10)^{2} \left(\frac{45}{360} \right)=\boxed{12.5\pi \text{ cm}^{2}}[/tex]
Choose the function whose graph is given below.
The graph represents the trigonometric function y = cotx option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have shown a trigonometric graph in the picture.
As we know:
At x = 0
tan0 = 0
But cotx at x = 0 does not defined.
The csc x and sec x are the reciprocal of sinx and cosx and the sinx and cos have a sinusoidal graph.
Thus, the graph represents the trigonometric function y = cotx option (C) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
URGENT PLEASE DUE TONIGHT ;(( functions
The value of (f/g)(-1) is 0, value of (g . f) (2) is -3√3, the value of (g - f)(-1) is √15, and the value of (g + f) (2) is √3 - 3
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have two functions:
f(x) = 1 - x²
g(x) = √(11 - 4x)
f(-1) = 0
g(-1) = √15
f(2) = -3
g(2) = √3
(f/g)(-1) = f(-1)/g(-1) = 0/√15 = 0
(g . f) (2) = g(2)f(2) = (√3)(-3) = -3√3
(g - f)(-1) = g(-1) - f(-1) = √15 - 0 = √15
(g + f) (2) = g(2) + f(2) = √3 + (-3) = √3 - 3
Thus, the value of (f/g)(-1) is 0, value of (g . f) (2) is -3√3, the value of (g - f)(-1) is √15, and the value of (g + f) (2) is √3 - 3
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
The expression 55 + 14m - 2n + 3p has _________ terms.
1. 3
2. 4
3. 2
4. 5
Help please answer this point an brainlist
PLEASE HELP ASAP
The file is attached
The trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is
[tex]tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}[/tex]
The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-
[tex]tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}[/tex]
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
The trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is
[tex]tan\theta = tan\dfrac{\pi}{4}=1\ \ \ \ Cos \theta=Cos\dfrac{\pi}{4}=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta =Sin\dfrac{\pi}{4}= \dfrac{\sqrt{2}}{2}[/tex]
The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-
[tex]tan\theta=tan \dfrac{\pi}{6}= \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta =Sin\dfrac{\pi}{6}= \dfrac{1}{2} \ \ \ \ \ Cos \theta = Cos\dfrac{\pi}{6}= \dfrac{\sqrt{3}}{2}[/tex]
Therefore the trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is
[tex]tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}[/tex]
The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-
[tex]tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}[/tex]
To know more about Trigonometry follow
https://brainly.com/question/24349828
#SPJ1
Indigo earned a grade of 93% on her multiple choice history final that had a total of
200 problems. How many problems on the final exam did Indigo answer correctly?
Answer:
186
Step-by-step explanation:
x/200 = 0.93
x = 200(0.93)
x = 186
The number of problems that Indigo did answer correctly in the final exam is 186.
Given that:
Indigo earned a grade of 93% on her multiple-choice history final which had a total of 200 problems.
Total number of problems = 200
So, 100% grade = 200 problems
Let x be the number of problems which is answered correctly to get 93%.
Using the proportional concept,
[tex]\frac{x}{200} =\frac{93}{100}[/tex]
Cross multiply,
100x = 93 × 200
Dividing whole by 100,
x = 93 × 2
x = 186
Hence, the number of problems that are answered correctly is 186.
Learn more about Percentage here :
https://brainly.com/question/14354292
#SPJ3
i'm confused
Find the value of x.
A. 5
B. 31
C. 25
D. 11
Answer:
D. 11
Step-by-step explanation:
Take the two horizontal line measurements and subtract them.
13-9=4
That is how much it changed between these two numbers. Since x is exactly halfway between, simply divide 4 and 2.
4/2=2
Now, add that to 9 or subtract it from 13.
9+2=11
or
13-2=11.
Hope this helps!
If not, I am sorry.
Answer:
D. 11
Step-by-step explanation:
Since segment AC bisects segments ED and BF, the length of AC is the average of the lengths of EB and DF.
AC = x = (EB + DF)/2 = (9 + 13)/2 = 22/2 = 11
Answer: D. 11
can anyone give me answer for this question -
[tex] \frac{ {3}^{6} \times {5}^{3} }{ {9}^{2} \times {5}^{2} } \\ \\ \frac{ {3}^{6} \times {5}^{3 - 2} }{ {3}^{4} } \\ \\ {3}^{6 - 4} \times {5}^{1} \\ \\ {3}^{2} \times 5 \\ \\ 9 \times 5 \\ \\ 45.[/tex]
Consider the graph of the function f(x) = 25
-10-8-6-4-2
10
8-
6-
4
2
02 4 6 8 10
2
-4
6
-8
-10
Which statement describes a key feature of function gif 9(a) = 2f(x)?
Considering it's horizontal asymptote, the statement describes a key feature of function g(x) = 2f(x) is given by:
Horizontal asymptote at y = 0.
What are the horizontal asymptotes of a function?They are the limits of the function as x goes to negative and positive infinity, as long as these values are not infinity.
Researching this problem on the internet, the functions are given as follows:
[tex]f(x) = 2^x[/tex].[tex]g(x) = 2f(x) = 2(2)^x[/tex]The limits are given as follows:
[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 2(2)^x = \frac{2}{2^{\infty}} = 0[/tex]
[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 2(2)^x = 2(2)^{\infty} = \infty[/tex]
Hence, the correct statement is:
Horizontal asymptote at y = 0.
More can be learned about horizontal asymptotes at https://brainly.com/question/16948935
#SPJ1
1/5 divided by 4 equals to what
Answer:
1/5 divided by 4 equals to 0.05
3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third of the length of line D F.
Which inequality explains why these three segments cannot be used to construct a triangle?
EF + FD > DE
ED + EF < DF
ED + EF > DF
EF + FD < DE
Answer:
ED + EF < DF
Step-by-step explanation:
shorter side lengths added together > larger side length
however, smaller side lengths are < larger
So ED + ED < DF means that this cannot be a triangle
Answer:
ED + EF < DF
(second option listed)
Step-by-step explanation:
for a triangle, the sum of the two shorter side lengths must be greater than the larger side length
so we know that the two smaller lengths (DE and FE) would have to add up to be greater than the larger side length (DF)
because this is not the case, we know that we cannot construct a triangle
[to construct a triangle:]
smaller + smaller > bigger
DE + FE > DF; which is false/not the case
so because DE + FE < DF, we cannot form a triangle
so, ED + EF < DF explains why these three segments cannot construct a triangle
solution.
5(4x + 7)-2x = ________+ 21
Answer:
18x + 14
Step-by-step explanation:
First, we need to distribute the 5:
5(4x + 7) - 2x = __ + 21
20x + 35 - 2x = __ + 21
Now, we can combine like terms:
20x + 35 - 2x = ___ + 21
18x + 35 = ___ + 21
> subtract 21 from both sides to isolate "___"
18x + 35 = __ + 21
-21 -21
18x + 14 = ___
now that we have a solution, we should check that it works:
5(4x + 7) - 2x = ____ + 21
5(4x + 7) - 2x = 18x + 14 + 21
{simplify both sides:}
20x + 35 -2x = 18x + 35
18x + 35 = 18x + 35
(TRUE)
So, we know our solution is 18x + 14
hope this helps!!
hat is the total surface area of the square pyramid below? A square pyramid. The square base has side lengths of 10 centimeters. The triangular sides have a height of 14 centimeters. 100 cm2 200 cm2 280 cm2 380 cm2
Answer:
Step-by-step explanation:
area of square + 1/2 area of 1 triangle * 4
What is the sum of the polynomials?
(7x³-4x²) + (2x³-4x²)
5x³
9x3
O5x³-8x²
O9x³8x²
[tex](7 {x}^{3} - 4 {x}^{2} ) + (2 {x}^{3} - 4 {x}^{2} ) \\ 7x ^{3} - 4 {x}^{2} + 2 {x}^{3} - 4 {x}^{2} \\ 7 {x}^{3} + 2 {x}^{3} - 4 {x}^{2} - 4 {x}^{2} \\ 9 {x}^{3} - 8 {x}^{2} [/tex]
PLEASE GIVE BRAINLIEST
Therefore , the solution of the given problem of equation comes out to be 9x³ - 8x².
What is the equation?A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra.
Here, we have,
Polynomial function total
Polynomial functions are those that have a leading degree of three or higher. given the total;
(7x^3-4x^2)+(2x^3-4x^2)
Expand => (7x 3-4 times) + (2x 3-4 times)
= > 7x^3-4x^2 + 2x^3-4x^2
assemble similar terms
=> 7x^3 + 2x^3 - 4x^2 -4x^2
=> 9x^3 - 8x^2
Therefore , the solution of the given problem of equation comes out to be 9x³ - 8x².
To know more about equation visit:
brainly.com/question/649785
#SPJ5
the roots of x+1/x=3 are: (x not equal to 0)
Answer:
x^2-2x-3
Step-by-step explanation:
(x+1)(x-3)
x(x-3)+1(x-3)
answer both questions please
Answer: The two imaginary solutions with rational coefficients are +/- 4i and the two imaginary solutions with irrational coefficients are +/- 1.414213562i.
Step-by-step explanation:
I would recommend using pascal's triangle to solve this problem.
*Note: This is more of a quick answer, I can show a detailed step-by-step procedure if you need, just comment.
You work for a lending institution and are tasked with whether or not to approve a home loan, using the standard 28/36 ratio. the loan application is for $230,000. you see that the applicant has an annual salary of $83,000. the applicant also has a car payment of $315, a student loan of $140 and a boat loan of $96. how likely are you to approve the loan? a. very likely; recurring debt is considerably less than what is allowed. b. somewhat likely; recurring debt is very close to what is allowed. c. not likely; recurring debt is higher than what is allowed. d. there is not enough information given to determine the answer.
You work for a lending institution and are tasked with whether or not to approve a home loan, its Somewhat likely; that recurring debt is very close to what is allowed. Option B.
What is recurring debt?Generally, any payment that is utilized to repay debt obligations that occur on a continuous basis is said to be recurrent debt.
In conclusion, Recurring debt consists of payments that cannot be readily canceled at the request of the payer. Examples of this kind of debt include alimony, child support, and loan installments.
Read more about recurring debt
https://brainly.com/question/19653285
#SPJ1
Answer:
its B
Step-by-step explanation:
given triangle PQR with QR = 8, PQ = 6, and m p = 90 degrees, which of the following choices is used to determine m r
The value of the angle R in the right triangle PQR is sin⁻¹ 6 / 8
The situation forms a right angle triangle.
How to find an angle in a right triangle?The angle R can be found as follows:
using trigonometric ratios,
sin R = opposite / hypotenuse
Therefore,
opposite sides = 6
hypotenuse = 8
sin R = 6 / 8
R = sin⁻¹ 6 / 8
learn more on right triangle here: brainly.com/question/6322314
#SPJ1
Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter’s equation?
The statement C is true about the proportional relationship that is modeled by Peter’s equation. Peter walks at a rate of 13/4 miles per hour.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The complete question is
"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?
A: Peter walks a rate of 4/13 miles per hour.
B: Peter walks at a rate of 4 miles per hour.
C: Peter walks at a rate of 13/4 miles per hour.
D: Peter walks at a rate of 13 miles per hour."
Given equation;
Y=13/4x
Where,
y represents the number of miles
x is the time period
The equation shows Peter walks at a rate of 13/4 miles per hour.
Hence statement C is true about the proportional relationship that is modeled by Peter’s equation.
To learn more, about equations, refer;
https://brainly.com/question/10413253
#SPJ1
The vertical line test can be used to determine the given relation/graph is a