Answers
Answer:
x = 12y = 125Step-by-step explanation:
The upper and lower angles are vertical angles, so congruent:
(5x -5)° = 55°
x - 1 = 11 . . . . . . . divide by 5°
x = 12
_____
The 55° angle and y° are a linear pair, so are supplementary.
y° = 180° -55°
y = 125 . . . . . . . simplify, divide by °
Related Questions
The switchboard in a Denver law office gets an average of 8.2 incoming phonecalls during the noon hour on Thursdays. Find the probability that more than 4 calls will be received during the noon hour, on some particular Thursday. Assume calls are independent of each other.
Answers
Answer:
The probability that more than 4 calls will be received during the noon hour, on some particular Thursday is 0.9113.
Step-by-step explanation:
The random variable X can be defined as the number of incoming phone calls during the noon hour on Thursdays.
The random variable X describes a finite number of occurrences of an event in a fixed time interval.
The random variable X follows a Poisson distribution with parameter λ = 8.2.
The probability mass function of X is:
[tex]P(X=x)=\frac{e^{-8.2}(8.2)^{x}}{x!};x=0,1,2,3...[/tex]
Compute the probability of more than 4 calls as follows:
[tex]P(X>4)=1-P(X\leq 4)[/tex]
[tex]=1-\sum\limits^{4}_{x=0}{\frac{e^{-8.2}(8.2)^{x}}{x!}}\\\\=1-[0.00027+0.00225+0.00923+0.02524+0.05174]\\\\=1-0.08873\\\\=0.91127\\\\\approx 0.9113[/tex]
Thus, the probability that more than 4 calls will be received during the noon hour, on some particular Thursday is 0.9113.
A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not allow a contractor to be offered more than one of these jobs. If this contractor is awarded any of these jobs, the profits earned from these contracts are $10 million from the office building, $5 million from the theater, and $2 million from the parking garage. His profit is zero if he gets no contract. The contractor estimates that the probabilities of getting the office building contract, the theater contract, the parking garage contract, or nothing are .15, .30, .45, and .10, respectively.
1. Write the probability distribution of x .
2. Find the mean and standard deviation of x .
Answers
Answer:
The probability distribution of x is
Profits in millions (x) Probability of getting contract (P(x))
$10 0.15
$ 5 0.30
$ 2 0.45
$ 0 0.10
The mean is [tex]E(X) = 3.9 millions [/tex]
The standard deviation is [tex]s = 3.01 \ millons [/tex]
Step-by-step explanation:
Generally the probability distribution of x is
Profits in millions (x) Probability of getting contract (P(x))
$10 0.15
$ 5 0.30
$ 2 0.45
$ 0 0.10
Generally the mean is mathematically represented as
[tex]E(X) = x * p(x)[/tex]
=> [tex]E(X) = [10 * 0.15 ] + [5 *0.30 ] + [2 * 0.45 ] + [0 * 0.10] [/tex]
=> [tex]E(X) = 3.9 millions [/tex]
Now
[tex] E(X^2) = x^2 * p(x)[/tex]
=> [tex] E(X^2) = (10 ^2 * 0.15) + (5 ^2 * 0.30) +(2 ^2 * 0.45) + (0 * 0.10)[/tex]
=> [tex] E(X^2) = 24.3 [/tex]
Gnerally the variance is mathematically represented as
[tex]V(X) = E(X^2) - [E(X)]^2[/tex]
=> [tex]V(X) = 24.3 - 3.9^2[/tex]
=> [tex]V(X) = 9.09 [/tex]
Gnerally the standard deviation is mathematically represented as
[tex]s = \sqrt{V(X)}[/tex]
=> [tex]s = \sqrt{9.09[/tex]
=> [tex]s = 3.01 [/tex]
X cannot equal 3 on a number line
Answers
Answer:
Yes it can
Step-by-step explanation:
math
Answer:
So whats the question
Step-by-step explanation:
Joe deposits $700 into an account that pays simple interest at a rate of 4% per year. How much will he be paid in the first 3 years?
Answers
Answer:
784
Step-by-step explanation:
Find the percent for the fraction 2/3. Round your answer to the nearest tenth?
Answers
Answer: 33.33%
Step-by-step explanation:
A "roll" of nickels contains 40 nickels. How much money is a "roll" worth? A 5¢ B. 20¢ c. $1.00 D. $2.00 E. $4.00
Answers
Answer:
D
Step-by-step explanation:
a nickel = 5 and 5 x 40 = 200 so it would be 2.00
Nickel = 5 cents
One roll = $2.00
y + 1 = - 2x
Rewrite the equation in y=Mx+b form
Answers
Y=-2x+1
Answer:
the correct answer is Y=-2x-1
find the surface area and volume of a rectangular solid with length 10, width 7, height 12
surface area______square inches
volume_____cubic inches
Answers
Answer:
Surface area is =548
Volume = 840 in³
Step-by-step explanation:
l × w, l × w, w × h, w × h, l × h, l × h
70 + 70 + 84 + 84 + 120 + 120 = 548
l × w × h = 840
Matthew paid $49.45 for five used video games of equal cost. The
relationship between the number of video games and the total cost is
proportional. What is the total cost for 11 used video games? Use any
strategy.
Show
Copyright law-
HE
your work
here
Answers
The total cost for 11 used video games will be
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Matthew paid $49.45 for five used video games of equal cost.
Now,
Since, Matthew paid $49.45 for five used video games of equal cost.
Hence, The cost of 1 video game = $49.50/5
= $9.90
So, The total cost for 11 used video games = $9.90 × 11
= $108.9
Thus, The total cost for 11 used video games = $108.9
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What’s 96 dived by 7
Answers
Answer:
Exact Form:
96 /7
Decimal Form:
13.71428571 …
Mixed Number Form:
13 5 /7
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
What is 0.934 (34 repeating) as a fraction?
Answers
Answer:
185 ove r198
Step-by-step explanation:
Chic-ken Rulez is a food vendor at the state fair that only sells complete box meals which includes a sandwich (chicken or turkey), fries, and drink. Customers walk up to the counter at Chic-ken Rulez and place an order.The counter employee enters the order into the system which is displayed on several screens for all other employees to see the items that need to be made. In the kitchen sandwich makers assemble the selected sandwich once it displays on the order screen. The fry master will cook, salt, and scoop the ordered fries into a cup. Meanwhile, the employee that took the order, will prepare the requested drink. Once the sandwich and fries are complete, they are place in a window where the counter employee places all items in a box and delivers it to the customer. Taking the order and entering it into the system takes 5 minutes. Once entered, the display screens instantly show the items to be made. The counter employee then takes an average of 3 minutes to make a drink. On average, it takes sandwich makers 8 minutes to complete a sandwich and place in the pick-up window. The fry maker takes 12 minutes on average to complete a cup of fries and place in the pick-up window. It takes the counter employee 10 minutes to box all items and hand to customer for delivery. All times listed are flow times for each activity and include the effects of waiting.1) Draw a process map/flowchart for the above process and Label it Process #1Chic-ken Rulez wishes to improve the process by reducing the time to deliver a meal box. Customers often make an order and leave the counter area to find seating. This is the root cause for delivery times being so long because on average a customer's meal order is called 3 times before it is actually picked up which completes delivery.To reduce the process time, Chic-ken Rulez is going to provide customers with a miniature plastic chicken with a GPS tracker inside at the time of the order. The order process is the same except now the box and delivery activity will be two separate activities. Delivery is now performed by food runners that use a handheld device to locate the GPS plastic chickens, collect the plastic chicken for re-use, and deliver a customer’s ordered meal box.It now takes 2 minutes to box a meal. Based on preliminary tests, the average time to locate a GPS plastic chicken and deliver a meal box in the food area takes 7 minutes.2) Draw a process map/flowchart for the above modified process and Label it Process #2
Answers
Answer:
This answer was provided through an attachment since it basically involves drawing a flow diagram.
Step-by-step explanation:
the question requires that we draw a flow diagram of the time and process of taking an order, making a drink, fixing a sandwich and also making fries.
please check the attachment for the processes #1 and #2.
the net process time minute for process#1
5+12+10 = 27 minutes
the net process time minute for process# 2
5 + 12 + 2 + 7
= 26 minutes
On Friday, the tent will be on sale for $15 off the price of $219.00
What will Amber's total savings be if she buys the tent on
Friday? Include $0.06 in sales tax on every $1 when
calculating the cost. Show how you found your answer.
Answers
Answer:
Step-by-step explanation:
219*0.06=13.14
219+13.14=232.14 regular price after tax
really, she is paying 232.14 regularly, not 219
15*0.06=0.90
15-0.90=14.10
232.14-14.10=218.04 discounted price after tax
this means that she save $14.10 off of the regular price if she buys the tent on friday
can i get brainliest please?
Let the graph of g be a translation 3 units up, followed by a vertical stretch by a factor of 2 and a reflection in the x-
Axis of the graph of
f(x) =3x^2-3x write a rule for g
G(x) =
15 points!!!!
Answers
Answer:
The answer is [tex]g(x)= -6x(x-1)+3[/tex]
Step-by-step explanation:
we know that f(x) is written as [tex]3x^{2}-3x[/tex]
to show that the graph is being translated up, vertically stretching, and reflecting across the x axis, we need to factor the function.
[tex]f(x)= 3x^{2}-3x \\ 3x(x-1)\\[/tex]
now we can incorporate the changes to this graph.
multiply 3x by 2 and -1. (2 for a stretch and -1 for a reflection).
[tex]-6x(x-1)[/tex]
tack on the +3 to show a translation of 3 units up.
[tex]-6x(x-1)+3[/tex]
therefore, [tex]g(x)= -6x(x-1)+3[/tex]
hope this helps!
The rule for the graph of g after all transformations of the function f(x) = 3x² -3x is;
g(x) = 6x² + 3x + 6
The graph of f(x) is given as;
f(x) =3x^2-3x
According to the parameters given;
First, the graph of g is a translation 3 units up, therefore, we have;
g(x) = f(x) + 3g(x) = 3x² - 3x + 3Secondly, followed by a vertical stretch by a factor of 2 and a reflection in the x axis.
This means that the graph must be multiplied by 2 and x values containing x be now regarded as -x
g(x) = 6x² - 3x + 6And a reflection in the x-axis yields;
g(x) = 6(-x)² -3(-x) + 6g(x) = 6x² + 3x + 6Ultimately, the rule for the graph of g is;
g(x) = 6x² + 3x + 6.
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Sales Tax. The sales tax on a purchase of L dollars is 6%. Write an algebraic expression that represents the total amount of sales tax.
Answers
Answer:
The value is [tex]T = 0.06L [/tex]
Step-by-step explanation:
From the question we are told that
The sales tax is [tex]k = 6\%[/tex]
Generally the total amount of sales tax is mathematically represented as
[tex]T = 6\% \ of \ L[/tex]
=> [tex]T = \frac{6}{100} * L[/tex]
=> [tex]T = 0.06L [/tex]
can someone help me with a b and c please
Answers
Answer:
c.in this 2014,396.12million pets were owned
Rob mixed 3.7 grams of salt into a pot of soup he was cooking. Before he served the soup, Rob added 0.5 grams of salt. How much salt did Rob put into the soup in all?
Answers
Answer:
4.2 grams in total
Step-by-step explanation:
Remember to line up the decimal point when adding numbers that contain decimals.3.7
+0.5
_______
4.2
In order to convert this equation to Slope-Intercept Form, you must first isolate y.
What is the first step in isolating y?
3x+2y=4
Use Division Property of Equality to divide the equation by 3.
Use Addition Property of Equality to add 2y to both sides of the equation.
Use the Subtraction Property of Equality to subtract 3x from both sides of the equation.
Use Subtraction Property of Equality to subtract 4 from both sides of the equation.
Answers
Answer:
use the subtraction property of equality to subtract 3x from both sides of the equation
Step-by-step explanation:
y is on the left so move everything else to the right side
According to the Subtraction Property, both sides of an equation remain equal following a subtracting of the same amount from both sides of the equation
The first step in isolating y in the equation 3·x + 2·y = 4 is the option;
Use the Subtraction Property of Equality to Subtract 3·x from both sides of the equationReason:
The slope and intercept form of the straight line equation is the the equation in the form y = m·x + c
Where;
m = The slope of the equation
c = The y-intercept
The given equation is 3·x + 2·y = 4
To isolate y, the terms containing y, are placed on one side of the equation, while the other terms are placed on the other side as follows;
First step; 3·x + 2·y - 3·x = 4 - 3·x (Subtraction property of equality)
Second step; 2·y = 4 - 3·x
Third step; [tex]\dfrac{2 \cdot y}{2} = \dfrac{4 - 3 \cdot x}{2}[/tex] → y = 2 - 1.5·x (Division property of equality)
y = 2 - 1.5·x = -1.5·x - 2
y = -1.5·x - 2 Equation in slope and intercept form
Therefore, the first step is use the Subtraction Property of Equality to Subtract 3·x from both sides of the equation
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Simplify the expression
1x(-2+3)x(-9+7)=
Answers
Answer:
x=13
Step-by-step explanation:
hehe calculator boy
Answer:
-2x²
Step-by-step explanation:
Faheem wants to write equations in the form y = mx + b for the lines passing through point P that are parallel and perpendicular to line t. First he finds the slopes of these 2 lines. What could he do next to find the y-intercepts?
Answers
Answer:
Substitute the slope and the coordinates of point P in y = mx + b and then solve for b for each equation.
Step-by-step explanation:
WILL GIVE BRAINLIEST make sure to show all of your work
Answers
More than 3, 000, 000, 000 pencils are manufactured in country A annually. Write this number in scientific notation
Answers
Answer:
3.0 times 10 with 8 as the exponent
Step-by-step explanation:
Count the amount of times you move the decimal point.
That number is the exponent number.
If you are counting left it is positive, if you are counting right it is negative.
Answer:
Step-by-step explanation:
Count the number of zeros.
There are 9 of them.
So the answer is 3 * 10^9
PLEASE HELP QUICK
i don't understand this problem
Answers
Answer:
ordered pairs would be my best guess
Step-by-step explanation:
Rhoda is asked to graph this system of equations: 5x - 6y = 4 3y + 2x = 7 How many times will the lines intersect? O A. The lines will intersect infinitely many times, because they are identical. O B. The lines will not intersect, because this system has no solutions. O C. The lines will intersect once, because this system has one solution. D. There is no way to tell without graphing the lines first.
Answers
Answer:
C. The lines will intersect once, because this system has one solutionStep-by-step explanation:
System of equations:
5x - 6y = 4 3y + 2x = 7The system of linear equations has one solution if the lines intersect, no solution if the lines are parallel, infinitely many solutions if lines are same
Let's put the lines into slope-intercept form to compare
Line1
5x - 6y = 46y = 5x - 4y = 5/6x - 4/6Line 2
3y + 2x = 73y = -2x + 7y = -2/3x + 7/3As we see lines have different slopes so they are different and they intersect once
This system has one solution
Answer:
C. The lines will intersect once, because this system has one solution
Step-by-step explanation:
Determine whether y varies directly with x. If so, find the constant of variation k. 4y=x
Answers
Answer:
k = 1/4
Step-by-step explanation:
y = kx
4y=x
y = 1/4x
Answer:
Step-by-step explanation:
Find the distance between (-7, -2) and (11,3). Write your answer to one decimal.
Your answer
Answers
Answer:
The answer is 18.7 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-7, -2) and (11,3).
The distance between them is
[tex]d = \sqrt{( { - 7 - 11})^{2} + ({ - 2 - 3})^{2} } \\ = \sqrt{ ({ - 18})^{2} + ( { - 5})^{2} } \\ = \sqrt{324 + 25} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{349} \: \: \: \: \: \: \: \: \\ = 18.681541692... \: \: \: \: \: [/tex]
We have the final answer as
18.7 units to the one decimal placeHope this helps you
Answer:
68
Step-by-step explanation:
Please help!!
Rewrite the expression with rational exponents.
\root(6)(x^(7))
Answers
Answer:
[tex]x^{\frac{7}{6} }[/tex]
Step-by-step explanation:
Rob makes $15.20 an hour mowing lawns. How much does Rob make if he mowed lawns for 2 hours on Monday and 3 hours on Tuesday?
Answers
Answer:
if rob makes $15.20 an hour and on Monday decides to mow two lawns for 2 hours an easy way to do it is by multiplying 15×2=30 then add 0.20+0.20 you get 30.4 that the amont he makes on monday for tuesday just 15.2+30.4 and get $45.60
Line b has a slope of 5/7. Line c has a slope of 7/5. Are line b and line c parallel, perpendicular, or neither?
Answers
Answer:
the lines are neither perpendicular or parallel
HELP ME ANSWER THIS MGA LODI NG BAYAN HAHAHA SERIOUS NA
Answers
Answer:
[tex]( {x}^{} + 2) {}^{2} = {x}^{2} + 4x + 4[/tex]
[tex](2x - 3) {}^{2} = {4x}^{2} - 12x + 9[/tex]
[tex] {(3x + 4)}^{2} = {9x}^{2} + 24x + 16[/tex]
[tex] {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} [/tex]
[tex] {(2x + 3y)}^{2} = 4x {}^{2} + 12xy + 9y {}^{2} [/tex]