Write each set of numbers in set-builder and interval notation
X>50
Answer:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder
(50, ∞) ---- Interval Notation
Step-by-step explanation:
Given
x > 50
Required
Write as a
- Set builder
- Interval notation
As Set Builder:
x > 50 means that x is an integer and x is greater than 50.
In set builder notation, integers are represented with z.
So, the above can be represented as:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]
This translates to:
x is a member of the set of integers such that x is greater than 50
As Interval Notation:
In interval notation, we make use of brackets to represent the intervals.
In this case > is represented by (a,b)
Where a and b are the intervals of the notation
Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.
Hence: x > 50 in interval notation is (50, ∞)
A coat discount 40% off it's regular price. Which value is equivalent to 40%
8x-2 (6x + 4) simplify by using the distributive property
Answer:
48x^2+ 20x-8
Step-by-step explanation:
find the measure of 0. (to the nearest tenth).
A) 36.9
B) 38.7
C) 51.3
D) 53.1
Answer:
B) 38.7
Step-by-step explanation:
Answer:
A) 36.9
Step-by-step explanation:
took the test :)
What mathematical property is represented by the equation below
c+d=d+c
Answer:
Step-by-step explanation:
c+d=d+c
Associative Property
Find the next term of the following sequence. 25,10,4
Answer:
8/5
Step-by-step explanation:
25/10=2.5, 10/4=2.5, 4/2.5=1.6
Suppose the owner of a local apple orchard has 4 half-bushels of apples to sell. He loads them on his truck, and drives his route, stopping at stores along the way attempting to sells the apples. Suppose:
- Each half-bushel is sold for $40.
- It will cost $15 of gas to drive the route.
Historically, the orchard owner knows he will have a 40% chance of making no sales, a 30% chance of selling 1 half-bushel, a 10% chance of selling 2 half-bushels, and a 10% chance of selling 3 half-bushels.
(a) Calculate the orchard owner’s expected profit from driving the route.
(b) Calculate the standard deviation of the profit from driving the route.
Answer:
a) The orchard owner's expected profit from driving the route is $33.
b) The standard deviation of the profit is $27.28
Step-by-step explanation:
a) Data and Calculations:
Apples to sell = 4 half-bushels
Price of each half-bushel sold = $40
Sales revenue = $160 ($40 *4)
Cost of driving the route = $15
Expected values:
Event Probability Revenue Profit Expected Profit
No Sales 40% $0 ($15) ($0 - $15) ($6.00)
Selling 1 half-bushel 30% $40 $25 ($40 - $15) $7.50
Selling 2 half-bushels 10% $80 $65 ($80 - $15) $6.50
Selling 3 half-bushels 10% $120 $105 ($120 - $15) $10.50
Selling 4 half-bushels 10% $160 $145 ($160 - $15) $14.50
Total expected profit = $33
Event Expected Profit Mean Squared
Difference
No Sales ($6.00) -39 1,521
Selling 1 half-bushel $7.50 -25.5 650.25
Selling 2 half-bushels $6.50 -26.5 702.25
Selling 3 half-bushels $10.50 -22.50 506.25
Selling 4 half-bushels $14.50 -18.50 342.25
Sum of squared differences 3,722
Mean of squared differences = 744.4 (3,722/5)
Standard deviation = square root of the mean
= 27.28
= $27.28
Find the 15th term of the arithmetic sequence whose common difference is d = 8 and whose first term is a,=5.
Answer:
117
Step-by-step explanation:
Tn=a+(n-1)d
5(15-1)8
117
Anybody know the answer to this ?
Answer:
13.08 United States Dollars
You walking against the wind. Your normal speed without the wind is 5mph. How long will it takes you to cover a distance of 5miles if the wind slow you down to 4/5 of your normal speed?
Answer:
1.25 hours
Step-by-step explanation:
So if you walk at 5 mph without wind, it takes you 1 hour to cover a 5 mile distance since you travel at a speed of 5 every hour. (5 mph). with the wind, your speed is 4 miles per hour because the wind slows you down to 4/5ths of your normal speed. 4/5ths of 5 is 4. It takes 1.25 hours to walk with the wind because 5(miles)/4(mph) is 1.25 hours. Hope this helps bud!
PLEASE HELP NEED IN 10 MINUTES
Students in Ms. Castillo's art classes could choose to make a sculpture or paint a picture as their
final project. The ratio of those who chose to make a sculpture to those that chose to paint a
picture was 3 to 7. There were 24 students who chose to make a sculpture. Let p be the number
of students who chose to paint a picture. Set up a proportion that will allow you to solve for the
value of p.
Answer:
8:56
Step-by-step explanation:
3:7
24/3=8
8 times 7=56
What value of x makes the following equation true?
15+3x=3(2−2x)
Answer:
[tex]\boxed {x = -1}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]15 + 3x = 3(2 - 2x)[/tex]
-Use Distributive Property:
[tex]15 + 3x = 3(2 - 2x)[/tex]
[tex]15 + 3x = 6 - 6x[/tex]
-Take [tex]6x[/tex] and add it to [tex]3x[/tex]:
[tex]15 + 3x + 6x = 6 + 6x - 6x[/tex]
[tex]15 + 9x = 6[/tex]
-Subtract both sides by [tex]15[/tex]:
[tex]15 - 15 + 9x = 6 - 15[/tex]
[tex]9x = -9[/tex]
-Divide both sides by [tex]9[/tex]:
[tex]\frac{9x}{9} = \frac{-9}{9}[/tex]
[tex]\boxed {x = -1}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-1[/tex].
20 plus 4000???????
Answer:
4020
Step-by-step explanation:
I'm such a smart man
Over the period of a year, Julie’s net worth decreased. Which of the following could be true? a. Julie’s assets and liabilities decreased by the same amount. b. Julie’s assets and liabilities increased by the same amount. c. Julie’s assets increased by more than her liabilities. d. Julie’s assets decreased by more than her liabilities. Please select the best answer from the choices provided A B C D
Answer:
D. Julie’s assets decreased by more than her liabilities.
Hope it helps❣️
Which fraction is less than 1/2?
A. 3/8
B. 5/8
C. 5/7
D. 9/16
Answer:
a. vfsvcsgefceveggevehe
Calculate the volume
Please show the steps...
Answer:
(a) 2.6 m^2
(b) 3.9 m^3
Step-by-step explanation:
(a)
ABCD is a trapezoid.
A = (B + b)h/2
A = (1.7 m + 2.3 m)(1.3 m)/2 = 2.6 m^2
(b)
The skip is shaped like a prism with trapezoidal bases.
V = area of base * height
V = 2.6 m^2 * 1.5 m = 3.9 m^3
The number of home runs hit by Hank Aaron, the all-time leader, is 755. This
has an order of magnitude of 4
A. True
B. False
Answer:
True
Step-by-step explanation:
Hope this helped :)
Answer:ITS FALSE!!
Step-by-step explanation:
PLEASE HELP FAST AND CORRECT! 50 POINTS
Answer:
So glass 2/3 full than full 2/3 glass so full 3 than so
Step-by-step explanation:
SOURCE TRUST ME BRO
HELP ME PLEASEEEE!!
High School is selling Valentine's Day gifts as a fundraising event. One long stemmed rose costs $3.00 while one long stemmed carnation costs $1.50. If 50 orders were placed and they totaled $195, how many roses and carnations were ordered?
Answer:
11 roses and 12 carnations
Step-by-step explanation:
(11*3)+(1.50*3)=195
Solve for www. -4(w+1) = -24
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
-4w-4=-24
-4w=-24+4
-4w=-20 to find w divide both side by -4
-4w/-4 =-20/-4
w=5
What comes between 1/2 and 2/3
Answer:
3/5
Step-by-step explanation:
1/2 can be written as 50%
2/3 can be written as 66.66%
3/5 can be written as 60%
Here
Step-by-step explanation:
The example fractions of 1/2, 2/3 and 3/4 with common denominators become 6/12, 8/12 and 9/12. The numerator 8 is between 6 and 9, so the fraction you created – 8/12, or 2/3 when simplified – is between the two fractions you started with.
A relation contains the points (negative2, 4), (negative1,1), (0,0), (1,1), and (2,4). Which statement accurately describes this relation?
Answer:
We have the points:
(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)
First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:
f(x) = f(-x)
And in this case we have:
f(-2) = 4 = f(2)
f(-1) = 1 = f(1)
Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).
Such that:
f(x) = a*x^2 + b*x + c
Now let's use the known points to find our equation, we start with (0, 0)
f(0) = 0 = a*0^2 + b*0 + c
then c = 0.
f(x) = a*x^2 + b*x
Now let's use the points (1, 1) and (-1, 1)
f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1
a + b = a - b
+b = -b
2*b = 0
Then we must have b = 0
f(x) = a*x^2
And now we can use the point (2, 4)
f(2) = 4 = a*2^2 = a*4
Then a = 1.
Our function is f(x) = 1*x^2
Help me plzzz i need help.
Answer:
Perimeter: 7.8Area: 3.1Step-by-step explanation:
Perimeter = all sides added up together2.8 + 2.8 + 1.1 + 1.1 = 7.8Area = L × W2.8 × 1.1 = 3.08Round 3.08 to the nearest tenth: 3.08 → 3.1I hope this helps!
What is the solution to this inequality?
4x + 2 5 -14 or 3x-5 > 16
OA.
X3-4 or x>7
OB.
-45x<7
O C.
xs-5 or x>8
OD.
x=-4
Answer:
A is the answer x ≤-4 or x>7
Step-by-step explanation:
Answer:
The answer is A, because they both have answers for each one.
Solve this 2 step equation 3x-7=20
Answer:
x=9 if thats what your asking
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
3x-7=20
3x=20+7
3x=27
X=27/3
X=9
So the value of X is 9
URGENT HURRY ILL MAKE YOU BRAINIEST IF YOU ANWSER. Mae ling earns a weekly salary of $375 plus a 7.5 commission on sales at a gift shop how much would she make in a work week if she sold 4,600 worth of merchandise
Answer:
I think the answer is 720!
Step-by-step explanation:
Which angles are alternate interior angles explain
Answer:
The answer is D.
Step-by-step explanation:
hope that helps
Evaluate the expression 2x^2-y^1+3x^0 for x=3 and y=7
Answer:
14
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Brian is playing a carnival game. He is blindfolded while he throws a dart at a board of 12 balloons, as shown below. Each balloon is labeled "S" for small, "M" for medium, "L" for large, or "XL" for extra-large. The board has 3 small balloons, 5 medium balloons, 2 large balloons, and 2 extra-large balloons. He hits one of the balloons at random and wins a stuffed animal of that size.
Use the normal distribution to compute probability with technology - Calculator Question Suppose that the annual household income in a region is normally distributed with mean $25,000 and standard deviation $6,000. If the poverty level for the region is at or below $12,000, what percentage of the population lives in poverty? • Round your answer to two decimal places.
Answer:
0.02
Step-by-step explanation:
Given a normal distribution :
Mean income (m) = 25000
Standard deviation of income (s) = 6000
X ≥ 12000
Using the relation to fund the standardized score :
Zscore =(x - m) / s
Zscore = ( 12000 - 25000) / 6000
Zscore = -13000 / 6000
Zscore = - 2.167
Using a z probability calculator :
P(Z ≤ - 2.167) = 0.015117
= 0.02