Answer:
The probability model is
= P(A or B)
Step-by-step explanation:
a) Data and Calculations:
Estimated revenue if the day is sunny = $3,000
Estimated loss if the day is rainy = $600
The probability of rain = 30%
Therefore, the probability of sunshine = 70% (100 - 30)
The probability model is based on the probability of rain or sunshine
= P(A or B)
= A*70% - B*30%
The outcome from either rain or sunshine
= ($3,000 * 70%) -($600 * 30%)
= $2,100 - $180
= $1,920
12 5/6 -7 1/3
fractions reduceing
Answer: 5 1/2
Step-by-step explanation:
12 5/6 - 7 1/3
Find an equivalent fraction for 7 1/3
12 5/6 - 7 2/6
5 3/6
Simplify
5 1/2
12 5/6 - 7 1/3
12-7= 5 and
5/6-1/3= {lcm of 6 and 3}
5-2/6= 3/6
3/6 = 1/2
final answer = 5 1/2
Which order pair is the solution of the system of equations shown?ITS DUE TONIGHT HELP
Y= -x + 5
Y= 5x - 6
A. (1/6, 29/6)
B. (1/4, 19/4)
C. (11/6, 19/6)
D. (11/4, 9/4)
Answer:
Step-by-step explanation:
-x + 5 = 5x - 6
-6x + 5 = -6
-6x = -11
6x = 11
x = 11/6
-11/6 + 30/6= 19/6
(11/6, 19/6)
answer is C
Which of the following accurately shows the range of the function defined below?
a. [3, 00)
b. [2,00)
c. [3,6]
d. (-00,00)
(00 is infinite
Given:
A piecewise function
[tex]f(x)=\begin{cases}3 &,x<0 \\ x^2+2 &,0\leq x<2 \\ \dfrac{1}{2}x+5 &,x\geq 2 \end{cases}[/tex]
To find:
The range of the function.
Solution:
Range is the set of output values.
For [tex]x<0[/tex], the function is [tex]f(x)=3[/tex] ...(i)
For [tex]0\leq x<2[/tex], the function is [tex]f(x)=x^2+2[/tex].
[tex]0\leq x<2[/tex]
Squaring each side.
[tex]0^2\leq x^2<2^2[/tex]
Adding 2 on each side.
[tex]0+2\leq x^2+2<4+2[/tex]
[tex]2\leq f(x)<6[/tex] ...(ii)
For [tex]x\geq 2[/tex], the function is [tex]f(x)=\dfrac{1}{2}x+5[/tex].
[tex]x\geq 2[/tex]
Divide both sides by 2.
[tex]\dfrac{1}{2}x\geq 1[/tex]
Adding 5 on each side.
[tex]\dfrac{1}{2}x+5\geq 1+5[/tex]
[tex]f(x)\geq 6[/tex] ...(iii)
From (i), (ii) and (iii), it is clear that the values of f(x) lies in the interval [2,∞).
So, the range of the given function is [2,∞).
Therefore, the correct option is b.
correct answer is B
Life is a high way i wan to drive it all night long.
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
7x +y = 33
-7x + 6y = -47
Answer:
x=5 and y=-2
Step-by-step explanation:
The given system of equations are :
7x +y = 33 ....(1)
-7x + 6y = -47 ....(2)
We need to find the solution of the given equations.
Adding equation (1) and (2) we get :
7x +y + (-7x) +6y = 33+(-47)
7y = -14
y = -2
Put the value of y in equation (1).
7x +(-2) = 33
7x-2=33
7x=33+2
7x = 35
x = 5
Hence, the solution of the above equations are x=5 and y=-2
Which Word names of the shape that looks like a rectangle
Answer:
The name of the shape that looks like a rectangle is a square
PLEASE HURRY IT DUE IN 59 MIN WILL GIVE BRAILYEST Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:
Year Lawn Care Fee
2000 $750
2010 $1350
A. What is the rate of change and initial value for Elliot's business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.
look this question has already been answered
https://brainly.com/question/1556676
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https://brainly.com/question/1556676
The most confused that i have been
Answer:
(-5, -3)
Step-by-step explanation:
To graph the two equations, you can look at two things, the slope and the y-intercept.
The two equations are in slope-intercept form, y= mx + b. m is the slope and b is the y-intercept. The slope is rise/run and the y-intercept is where the line crosses the y-axis.
In the first equation, the slope is -1 and the y-intercept is -8. So, to graph you would start at (0, 8) and move up one unit and then left one unit to get the next point.
For the second equation, the slope is 2/5 and the y-intercept is -1. So, to graph you would do the same thing. Start at (0, -1) and then go up 2 units and right 5 units to get the next point.
I've attached a graph below if you need it.
Sam and two friends put letters in envelopes on Monday.
The three of them take two hours to put 600 letters in envelopes.
On Tuesday Sam has three friends helping.
Working at the same rate, how many letters should the four of them be able to put in
envelopes in two hours?
Answer: 800 envelopes
Step-by-step explanation:
Sam and her friends are working at a rate of 100 letters in envelopes per hour per person. So, if there are 4 people helping including sam, you just have to multiply 400 by 2 hours, which will give you 800.
A certain drug is made from only 2 ingredients: compound A and compound B. There are 4 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 666 milliliters of the drug, how many milliliters of compound B are needed?
Answer:
370 millimeters of compound B is needed for 666 millimeters of solution.
Step-by-step explanation:
Given that:
4 millimeters of compound A are used for every 5 millimeters of compound B.
The scientist wants to make 666 millimeters of solution.
Let,
x be the multiplier number of the compounds in the solution.
Then,
4x + 5x = 666
9x = 666
Dividing both sides by 9
[tex]\frac{9x}{9}=\frac{666}{9}\\x=74[/tex]
Millimeters of compound B = 5x = 5(74) = 370 millimeters
Hence,
370 millimeters of compound B is needed for 666 millimeters of solution.
help!! with any, ASAP
jessica can shoot 10 photos in 10 minutes how may photes can she take in 1 hour
Answer:
60 photos
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
because there is 60 minutes in an hour so she ca take 60 pics in 1 hour.
I need help with this
Answer:
y = 103
y = 180 - 77 = 103
Step-by-step explanation:
........
Answer:
103
Step-by-step explanation:
All we have to do is subtract the measure of the line which is 180 by 77 to get the measure of < y. Since they are adjacent to each other this concept will work but if they weren't it would be a little different.
[tex]y+77=180\\y=130[/tex]
So the measure of < y is 130°
a rancher in Colorado needs to build a square pen for the cattle this winter he figured he needs an area about 625 square yards what are the dimensions of his pen
Answer:
156.25
Step-by-step explanation:
So, we know that this is a square so we know that each side will equal the same.
So, all we need to do is divide 625 by 4. We will get 156.25.
Hope this helps!
help now plssss!!!!!!!!!!
Answer:
epic
Step-by-step explanation:
Type your number answer in decimal form. Do not round.
2,500grams= kilograms.
Answer:
2.5 kg
Step-by-step explanation:
1000 grams in 1 kg
2500 grams in 2.5 kg
Carly needed to study for 5/6 of an hour for 9 days. How many hours did she study?
Answer:
180 hours
Step-by-step explanation:
24 hrs in a day
5/6 of 24 is 20 and multiply it by 9 because there are 9 days
=180
Answer:
its 180 houe=rs i agree
Step-by-step explanation:
Help I’m being timed!!
Answer:
False the radius would be 6.5
Step-by-step explanation:
Hope this Helps! :)
can you help me solve y = -3x + 16
Answer:
13x=y
-3 + 16 = 13
13x=y
Can someone help me
Answer: the third one
Step-by-step explanation:
What is the answer to this question?
Answer:
b 20.6
Step-by-step explanation:
a group of 8 students was asked, " how many hours did you watch televison last week?" here are thier responses; 19,10,8,13,5,17,6,9 . find the mean and median number of hours for these students. if nevessary, round your answers to the nearest tenths.
Darren is on a super efficient diet. He started with 210 pounds 2 months ago and he now weighs 150 pounds . Find his percent of decrease.
Answer:
29%
Step-by-step explanation:
210-150/210 = 60/210 or 6/21
Now we have to find the percent out of 100 so we have to find out 100/21 to see what we have to multiply by to get to 100 so we can do the same with the 2 (numerator) so 1000/21= 4 16/21
then we have to multiply the 6 by 4 16/21 which is about 29%
For example, Emily received a 67 on her first economics exam, which counts for 20% of her grade; an 84 on her second exam, which counts for 30% of her grade; and a 78 on her third exam, which counts for 50% of her grade. What is her weighted average in the class
Answer:
77.6
Step-by-step explanation:
Given the data:
Weighting :
First exam = 20% ; second exam = 30% ; third exam = 50%
Scores :
First exam = 67 ; second exam = 84 ; third exam = 78
Weighted Average :
Σ(Weight * Score)
Σ[(0.2 * 67) + (0.3 * 84) + (0.5 * 78)]
13.4 + 25.2 + 39
= 77.6
Based on the weights assigned to these grades, Emily's weighted average in the class would be 77.6 marks.
Emily's weighted average= ∑ (Percentage of grade x Score in exam)
Solving gives:
= (20% x 67) + ( 30 % x 84) + (50% x 78)
= 13.4 + 25.2 + 39
= 77.6
Emily's weighted average is 77.6 marks.
Find out more on weighted average at https://brainly.com/question/14432034.
Write an equation for a rational function with:
Vertical asymptote at x=-3 and x=-6
X intercept at x=-2 and x=2
Horizontal asymptote at y=5
Answer:
Step-by-step explanation:
Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -6 x-intercepts at x = -5 and x = 3 y-intercept at 7
What's half an hour mean?
Answer:
30 minutes
Step-by-step explanation:
half an hour means 30 minutes
Mr Magee wrote the expression shown Below on the board if the expression has a value of 8 which of the following is the value of n
Step-by-step explanation:
512^(1/n) = 8
(2⁹)^(1/n) = 2³
2^(9/n) = 2³
=> 9/n = 3, n = 3. (D)
P.S.
Law of Indices: (a^m)^n = a^(mn)
Its 8th grade math please answer i wanna double check lOl
Answer:
Imma Go With A
Step-by-step explanation:
Hope I Helped :)
Have A Good Day
Btw Let Me Know If I Did Help
The pet store can keep 14 fish in each tank. To find the number of tanks needed for 338 fish, the store manager solved the problem below.
Answer is multiple 2 by 14
Answer:
I beilieve it would be about 24 tanks
Step-by-step explanation:
graph the solution on the number line |x-3| <5
Answer:
-2<x<8
see below for graph
Step-by-step explanation:
First, we need to solve the inequality.
Inequality: |x-3|<5
Split into two equations:
x-3<5
x-3>-5 (notice how the sign is flipped when we make the number negative)
let's start with x-3<5
add 3 to both sides
x<8
now
x-3>-5
add 3 to both sides
x>-2
The graph is below
the intersection is the solution.
Notice how I made the maroon line go to the right- which shows that it's greater than (for x>-2) and the silver line go to the left, which shows that it's less than (for x<8)
the equation is -2<x<8
Hope this helps!
Write the equation that passes through the following points:
(5,0) and (−10,−5)
Answer:
The answer is:
[tex]y = \frac{1}{3} x - \frac{5}{3} [/tex]
Step-by-step explanation:
❃Incase you forgot what the linear equation formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, The is what the slope formula is ☟
[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]
➊ First: We are going to be solving for the slope.
[tex]m = \frac{ - 5 - 0}{ - 10 - 5} = \frac{ - 5}{ - 15} = \frac{1}{3} [/tex]
➋Second: We find the y-intercept.
[tex]y = mx + b \\ 0 = \frac{1}{3} (5) + b \\ 0 = \frac{5}{3} + b \\ \frac{ - \frac{5}{3} = - \frac{5}{3 } \: \: \: \: \: \: \: \: \: \: \: \: }{ - \frac{5}{3} = b} [/tex]
➌Third: Plug in.
[tex]y = \frac{1}{3} x - \frac{5}{3} [/tex]