Answer: (x + 0, y − 4), 180° rotation, reflection over the y-axis.
Below is an Algebraic Proof that shows how the expression x(1+y) + y(2+x) is equivalent to x + 2xy + 2y. Some of the steps are labeled with the action or property. Match the following properties in the order they are used in the proof.
Answer:
Step-by-step explanation:
Steps Property
x(1 + y) + y(2 + x) Given
x + xy + 2y + xy Distributive property
x + xy + xy + 2y Commutative property of addition
[a + b = b + a]
x + (xy + xy) + 2y Associative property of addition
[(a + b) + c = a + (b + c)]
x + 2xy + 2y Combine like terms
1. The probability of telesales representative making a sale on a customer call is 0.15.
Representatives are required to achieve a mean of at least 5 sales each day.
(C) Find the least number oftcalls each day a representative should make to achieve this
requirement
(d) Calculate the least number of calls that need to be made by a representative for the
probability of at least 1 sale to exceed 0.95
Answer:
1c
[tex]n = 33[/tex]
1d
[tex]n = 19[/tex]
Step-by-step explanation:
From the question we are told that
The probability of telesales representative making a sale on a customer call is [tex]p = 0.15[/tex]
The mean is [tex]\mu = 5[/tex]
Generally the distribution of sales call made by a telesales representative follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the mean is mathematically represented as
[tex]\mu = n* p[/tex]
=> [tex]5= n * 0.15[/tex]
=> [tex]n = 33[/tex]
Generally the least number of calls that need to be made by a representative for the probability of at least 1 sale to exceed 0.95 is mathematically represented as
[tex]P( X \ge 1) = 1 - P( X < 1 ) > 0.95[/tex]
=> [tex]P( X \ge 1) = 1 - P( X =0 ) > 0.95[/tex]
=> [tex]P( X \ge 1) = 1 - [ ^{n}C_0 * (0.15 )^0 * (1- 0.15)^{n-0}] > 0.95[/tex]
=> [tex] 1 - [1 * 1* (0.85)^{n}] > 0.95[/tex]
=> [tex] [(0.85)^{n}] > 0.05[/tex]
taking natural log of both sides
[tex]n = \frac{ln(0.05)}{ln(0.85)}[/tex]
=> [tex]n = 19[/tex]
What is a reasonable approximation for angle be if the ratio of the adjacent leg divided by the hypotenuse is .45
Answer:
1
Step-by-step explanation:
In a mathematics class, the following test scores were recorded for a student. Find the mode 90, 99, 95, 78, 81, 89
Answer:
78,81,89,90,95,99
Step-by-step explanation:
there is no mode because none of the numbers repeat themselves
The mode is simply the number that appears the most in a given list.
There is no mode here.
Refer to the equation x - 5y = 20.
(a) Create a table of values for at least 4 points. Show your work.
(b) Use the table of values to graph the line.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equation :
X - 5y = 20
x - 20 = 5y
(x - 20) / 5 = y
x = - 5
y = (-5 - 20) / 5 = -5
x = 0
y = (0 - 20) / 5 = - 4
x = 5
y = (5 - 20) / 5 = - 3
x = 10
y = (10 - 20) / 5 = - 2
X : _____ - 5 ___ 0 ____ 5 ____10
y : _____ - 5 ___- 4 ___ - 3 ___ - 2
Kindly make use of a graph for better clarity and accuracy
Enter the correct answer in the box.
Facundo crochets and sells baby blankets, b. Each blanket requires 3 skeins of yarn, and the total number of skeins Facundo uses, y, varies
directly as the number of blankets he crochets, b.
Write an equation that models this relationship.
Answer: y = 3b
Step-by-step explanation:
Equation of given relationship model is y = 3b.
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Given,
∵ each blanket requires 3 skeins of yarn
∴ b blanket requires 3b skeins of yarn
Total number of skeins = y = 3b
Hence, y = 3b
Learn more about equation here:
brainly.com/question/10413253
#SPJ5
simplify 13 =a(2)+b(2)+c
Answer:
13=2a+2b+c
Step-by-step explanation:
The product of terms 2 and the associated variable, is the result of double the variable. For example, a(2)= 2a.
The equation (specifically the expression and its terms on the right) cannot be simplified furthermore as there are no like terms that are able to be combined.
-Hope this helps.
The missing number in the series 9,_, 6561,43046721 is
Answer:
The missing number in the series 9,_, 6561,43046721 is
Step-by-step explanation:
Idk what to say but I need help
Answer:
12 3
24 6
36 9
48 12
Step-by-step explanation:
Getting stuck on these problems
Answer:
im pretty sure it's A but I may be wrong
I will mark you brainliest
Which expression correctly represents "ten times the difference of a number and six"?
O10(n-6)
o 10(6-1)
O 10(n)-6
O 10(6)-1
Answer:
a
Step-by-step explanation:
10 x the difference ofa number"n" - 6
Answer:
I would say the first one
Step-by-step explanation:
Mountain climber Joe climbed to a mountain peak that was1200 feet above its base and 1500 feet east of its base. Mountain climber Bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base.
Who climbed a steeper mountain? Explain.
Answer:
Mountain climber Joe climbed the steepest mountain
Step-by-step explanation:
In order to figure out who climbed the mountain you have to solve using the puthagreom theorem a squared + b squared = c squared
In this case you have multiply 12000 by 2 to replace a squared, you multiply 1500 by 2 to replace b squared and you leave c squared
Once you have that add the two numbers together, 2400+3000, this equals 5400
now you have 5400 = c squared, to solve you have to find the square root of 5400 giving you the rounded number of 73.48=c
After you have completed do the exact same thing with Mountain climber Bob. This gives you the rounded number of 61.64.
therefore, mountain climber Joe has climbed the steepest hill
i think bob climbed the steeper mountain
I need helpppp
plsssanyoneee
Answer:
[tex]x^{6}[/tex]/[tex]z^{-1}[/tex]
Step-by-step explanation:
Jack wants to buy a pair of trousers for $60. When he went to the store he found that the price was marked down by 20%. How much do they cost now?
Answer: They would cost 48 dollars
Step-by-step explanation:
Answer:
$48
Step-by-step explanation:
You know that it costs $60 and it is marked DOWN by 20%. Therefore, you want to find 20% of 60 which is 12. Then, you subtract $12 from the original amount to get the cost now.
Ways to find 20% of 60
1/5 times 602 times 6k (x) = 6x + 100
k(-5) = ?
Answer:
im not super sure but i think its 70
Step-by-step explanation:
Help me out real quickkkkkkkkkkk
Answer:
A) Multiply 8 and 9
Step-by-step explanation:
to find common denominators multiply the two denominators
Answer:
a
Step-by-step explanation:
multiply (4u - 9s) (4u+ 9s)
Answer:
it would be 16u2-81s2 using a2-b2 formula
Algebra II Part 1
What is the range of this relation?
(-3, 2), (2, -4), (2, 6), (-3,-5), (0, -3)
Which statement correctly describes the expression (-60)(-5)? A. Both factors are negative, so the product will be positive. B. Both factors are negative, so the product will be negative. O C. One factor is positive and one factor is negative, so the product will be negative. D. One factor is positive and one factor is negative, so the product will be positive. SUOMI
Answer:
a
Step-by-step explanation:
Answer:
A. Both factors are negative, so the product will be positive
Step-by-step explanation:
Remember negative times negative will always be positive
And use the process of elimination:
You know that negative times negative is not negative so that eliminates B.
And there are two negatives in the equation not one positive and one negative so it is not choice C.
The same concept applies is for choice D.
Hope this helps!
HURRY PLEASE!!! I NEED TO TURN THIS IN SOON
i need an explanation too.
Answer:
X = 30°, y = 15° and z = 150°.
Reason: Look below.
Step-by-step explanation:
Hey there!
When we look into the figure, we find that;
For x:
x+ 2x + 90° = 180° {Being linear pair}
or, 3x = 180°-90°
or, 3x = 90°
or, x= 90°/3
Therefore, X = 30°.
For y :
2y = x = 30° {Alternate angles are equal}
or, 2y = 30°
y = 30°/2
Therefore, y = 15°
For z:
2y + z = 180° { Being linear pair}
or, 30°+z = 180°
or, z = 180°-30°
or, z = 150°
Therefore, z = 150°.
Hope it helps...
Enter a numerical expression for the word expression.
the quotient of 40 and 8
Answer:
The answer is 40 divide by 8
if you want it solved then the answer is 5
Step-by-step explanation:
when the word quotient is being used in a question like this problem then you know it is going to be talking about division.
Answer: 5
Step-by-step explanation: Quotient means to divide. 40 \ 8 = 5
Demarcus has at least $8 more than his
older sister. His older sister has $4.
Which of the following inequalities could
be used to find how much money, m.
Demarcus has?
Om> 8+4
8 - m < 4
8m > 4
HELPPPPPP PLEASE
Answer:
8m > 4
Step-by-step explanation:
8m, (the amount of money Demarcus has), is more than how much money his older sister has, (4), so 8m is greater than (>) 4
Answer:
8m > 4 is the correct answer:)
180 clockwise around point (0,1)
I think it is (0,-1)
Find the slope of the line through the given points.
(10, 11) and (15, 16)
Nine students in Maddie's classroom are wearing red. There are
30 students in her class. Maddie says that 30% of her class is
wearing red. Is Maddie correct? Explain your reasoning,
Answer:
She is correct because 30 percent of 30 is 9 or in other words if you multiply 30 by 30 percent you get 9.
Step-by-step explanation:
Answer:
Yes she is correct cause 30 times 30 percent is 9
Step-by-step explanation:
can somebody find the domain for this
Answer:
x<-8, x>4
Step-by-step explanation:
What value of x makes this true? x/-7=-4.
Answer:
28
Step-by-step explanation:
-4+-7=28 you just reverse the division problem
Answer:
x/-7=-4
to get rid of -7, multiply -7 on both sides of the equation
(-7)x/-7=-4(-7)
x=28
Point A is located at (2, 9) and is reflected in the x-axis. What is the location of Point A'?
(-2, -9)
(2, -9)
(-2, 9)
(9, -2)
Pre-algebra 2x+56=22 and -99+-51=60 also 5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13 and (-4 , -5) and (-1 , -1). Solve Now for brainly big brain people can only solve this question!!!
Answer: 17
Step-by-step explanation:
2x + 56=22
- 56 -56
2x = -34
divide 2x by both sides
x = -17
Which pair of triangles attempts to use SSA Congruence Postulate to prove the triangles congruent?
Answer:
the third boxes
Step-by-step explanation:
SSA is saying Side Side angle and that is the only one that follows that rule
Answer: first 3
Step-by-step explanation: no time