11 chairs at each table. (157/14 = 11.214...)
There will be 3 chairs left over. (14x11 = 154 157-154 = 3)
Answer:
total chair = 157 and total chair = 14 each table would have 18 chair and 5 chair would be extra
Among 500 freshmen pursuing a business degree at a university, 311 are enrolled in an economics course, 243 are enrolled in a mathematics course, and 135 are enrolled in both an economics and a mathematics course. What is the probability that a freshman selected at random from this group is enrolled in each of the following?
a) an economics and/or a mathematics course.
b) exactly one of these two courses.
c) neither an economics course nor a mathematics course.
Solution :
Let A = Economics, B = Mathematics
n(A) = 311, n(B) = 243, [tex]$n(A \cap B) = 135$[/tex]
a). So, [tex]$n(A \cup B) = n(A) +n(B) - n(A \cap B)$[/tex]
= 311 + 243 - 135
= 419
b). n(A only) = 311 - 135
= 176
n(B only) = 243 - 135
= 108
Exactly one of these two courses
[tex]$=\frac{176+108}{500}$[/tex]
= 0.568
c). Neither economics nor mathematics
[tex]$=\frac{500-419}{500} $[/tex]
[tex]$=\frac{81}{500}$[/tex]
= 0.162
Someone Help me please
There are 4 seats available at a table in the lunch room of an elementary school, and 12 students are looking for seats. In how many ways can the seats at the table be filled with 4 of these 12 students?
495
2,970
11,880
20,736
Answer:
495
Step-by-step explanation:
12 Choose 4 = (12!) / 4! 8! = (12 · 11 · 10 · 9) / (4 · 3 · 2) = 495
Simplify the expression:
[tex] ({2x + 5y})^{2} - ({3x + 4y})^{2} [/tex]
Step-by-step explanation:
the answer is in the picture
Answer:
3x+18y
Step-by-step explanation:
2x+5y+2x+5y-3x+4y+3x+4y
2x+2x-3x+3x+5y+5y+4y+4y
4x-x+10y+8y
3x+18y
factor
3 What are the factors in the expression 4(5 + x)?
2
Answer:
4 , 5 + x , 5 + x
Step-by-step explanation:
The given equation is ,
[tex] 4(5+x)^2 [/tex]
It will be factorised into ,
[tex] 4\times (5+x)\times (5+x) [/tex]
Therefore , the factors are ,
4 5 + x5 + xThe probability that lucy will do. The drawing is 0.125. What is the probability that she will not win
Answer:
probability is alway 1 or less than 1
therefore the probability is 0.125/1
What’s the work and answer for this someone please tell me
Answer:
19 points
Step-by-step explanation:
x = # points in 4th game
(33 + x)/4 = 13
cross-multiply:
33 + x = 52
x = 19
A group of students must collect at least $150 to organize a science fair. They have
already collected $30. Which graph best represents all remaining amounts of money,
in dollars, that the students should still collect to organize the science fair? (1 point)
The answer would be the first graph! The one that has the black dot in the number 120.
Hope this helps! :)
Have a nice day <3
~Amy
whaich calculation and answer show how to convert 3/12 to a decimal
Answer:
0.25
Step-by-step explanation:
3/12 = 1/4
1÷4= 0.25
I neee help Please!!!
If (8, 12) and (3, 4.5) belong to a proportional relationship, what is the constant of
proportionality?
Answer:
1.5
Step-by-step explanation:
k= y/x
y= 12-4.5 = 7.5
x= 8-3 = 5
k = 7.5/5 = 1.5
Misha and Dontavious were asked to solve the following problem using linear programming.
A local school district can operate a large bus for $300 per day and a small bus for $200 per day. The district needs to arrange transportation for at least 360 students for a field trip and has enough chaperones to have one chaperone per bus for up to 7 buses. Each large bus can hold 60 students and each small bus can hold 45 students. What is the minimum cost for the transportation for the field trip?
Misha decided the following represented this situation:
Let x = number of large buses
Let y = number of small buses
Objective Fx: C=300x+45y
Constraints:
200+60y≥360
x+y≤7
x≥0
y≥0
Dontavious decided the following represented this situation:
Let x = number of large buses
Let y = number of small buses
Objective Fx: C=300x+200y
Constraints:
60x+45y≥360
x+y≤7
x≥0
y≥0
Decide which student set up the correct Objective function and Constraints and using that information answer the following:
a) What are the vertices for the correct feasible region?
b) What is the minimum cost for transportation for the field trip and how did you arrive at this cost?
The correct function was: Dontavious
The constraints are the number of students at least 360 and the number of buses up to 7.
Dontavious wrote the appropriate inequalities. cost is $300 for large buses and $200 for small buses. and the constraints are the number of students per bus.
a) The feasible region is where the solution spaces overlap: this creates a small triangular area with the vertices at (6, 0), (7, 0) and (3, 4).
(6, 0), (7, 0), (3, 4)
b) 3 large buses and 4 small buses would cost 3*300 + 4*200 = $1700
6 large buses and 0 small buses would cost 6*300 = $1800 dollars
The cheapest solution would be 3 large buses and 4 small buses which would cost $1700
help meeeeee plzzzzzz asap Find the area of the shaded regions.
Area of a circle is PI x r^2
The radius of the large circle is shown as 8 m
The diameter of A is the radius of the large circle which is 8 m so the radius would be 4 m
The radius of the small circle would be 2m
Area of large circle = pi x 8^2 = 64pi = 200.96 square m
Area of middle circle = pi x 4^2 = 16pi = 50.24 square m.
Area of small circle = pi x 2^2 = 4pi = 12.56 square m.
The area of the shaded region = large - middle + small
Area = 64pi - 16pi + 4pi = p2pi square m or 200.96 -50.24 + 12.56 = 163.28 square m.
Sue-Lee scored 93 points on a science test on Monday and 77 points on a science test on Friday. What was the difference between her two scores?
Answer:
16
Step-by-step explanation:
93 - 77 = 16
Answer:
16
Step-by-step explanation:
Difference is a key word for subtraction in problems like this/ So take Sue-Lee's two test scores and subtract them, 93-77 is equal to 16. The difference between the two scores is 16
Select ALL the expressions that equivalent to [tex]\frac{1}{2}[/tex]z.
B. z divided by 2
C. z·z
E. 2z
A. z + z
D. [tex]\frac{1}{4}z + \frac{1}{4}z[/tex]
Answer:
Answer is B
Step-by-step explanation:
because is if z is divided by 2
the z is variable and 2 is constant
so I automatically convert into given question
Chelsea is filling a kiddie pool with water. For every
9
9
gallons of water she uses the pool fills
4
4
inches high.
If Chelsea wants to fill the pool to
15
15
inches, how many gallons of water will she use?
Chelsea will use
Answer:
33.75 gallons
Step-by-step explanation:
Determine how high the pool fills with one gallon
How high the pool fills with one gallon = 4/9 = 0.444444
The gallons needed to get the water to be 15 inches = 15 inches / 0.44 = 33.75 gallons
PLS HELP IM GONNA DIE IF SOMEONE DONT HELP ME ALL OF POINTSMr. Lopez had surveyed all of his 20 student of how
long it took them to read a five chapter book. ter they
read, Mr.Lopez had 1 students that took 5 hours, 4
students that took 3 hours,5 students that took 1 hour,
10 students that took 9 hours and 1 student who took 2
hours. What is the mean IQR, mode, and median?
Answer:
Put the given data in ascending order:
1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9Mean is the average of 20:
(1*5 + 2 + 3*4 + 5 + 9*10)/20 = 5.7median = 5.7Mode is the most repeated number:
mode = 9Median is the average of the two middle numbers:
(3 + 5)/2 = 4median = 4Mean = 5.7
Median = 4
Mode = 9
in the dark forest a rare species of spiders called Acromantula is doubling every 4 years. there are currently 50 spiders, how many spiders will be in the forest after 20 years?
Answer:
1600. Because 20/4is 5 so there is 5time doubling so
first time 50 to 100
second time 100 to 200
third 200to400
fourth 400to 800
fifth 800to 1600.
In 20 years the number of Acromantula will be 1600 if the number of Acromantula is doubling in every 4 years.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given, the number of Acromantula doubles in every 4 years.
Also given that, There are 50 Acromantula in the forest.
In 4 years, the number of Acromantula wil be double of 50 i.e., 100
In 8 years, the number of Acromantula will be double of 100 i.e., 200
In 12 years, the number of Acromantula will be double of 200 i.e., 400
In 16 years, the number of Acromantula will be double of 400 i.e., 800
In 20 years, the number of Acromantula will be double of 800 i.e., 1600
Hence, In 20 years the number of Acromantula will be 1600
To learn more about unitary method click here:
https://brainly.com/question/23217284
#SPJ2
if you help me you are a sweet sweet sweet angel
Answer:
the last option
option four or D
Step-by-step explanation:
have a great day :)
Which number is less than -27 or -36
Answer:-27 is greater than -36
Step-by-step explanation:
How does using the properties of addition makes a problem easier to solve
9514 1404 393
Answer:
properties of addition let you add, subtract, or rearrange the terms of a sum as may be needed
Step-by-step explanation:
Properties of addition let you rearrange a sum to make addition easier to do or to check mentally. They also let you "undo" addition or subtraction in the process of solving algebra problems. And, they let you add terms or constants that may make it easier to rearrange expressions, as in "completing the square."
The smaller the sample, the less variability we will see. True or false
Answer:
False
Step-by-step explanation:
Answer:
False I'd the right answer this is so simple
10 to the second power minus 2 x (8) + 11
Kathleen bought some glasses. She received a rebate of $50. Of her glasses cost $125, how much did she pay?
Answer:
You will pay $62.5 for a item with original price of $125 when discounted 50%. In this example, if you buy an item at $125 with 50% discount, you will pay 125 - 62.5 = 62.5 dollars.
Step-by-step explanation:
y = 3x^2 - 4x
27 + y = 14x
Step-by-step explanation:
move the 27 to the other side of the equation like this
[tex]y = 14x - 27[/tex]
use this equation and substitute it into the y value of the first equation
User: Jaylian.)
Learning farm
Daily PSSA prep 4/30 Friday
Question 8 of 15
52:38
>
Question: Last year, 7,000 people registered to go to a comic book convention. This year, the
number of people who registered increased by 5%. How many people registered for
this year's convention?
0123456789
1
3
4.
5
6
7
8
9
10
11
Back
Save/End
Next
Copy: 2020
Answer:
7350
Step-by-step explanation:
I hope this helps.
You work as a residential painter. A customer wants two tables and eight chairs painted using one coat of the same color paint. Each table requires 15858 quarts of paint, and each chair requires 2323 quarts of paint. How many total quarts of paint should you bring to paint this furniture?
Step-by-step explanation:
Let t be the number of tables
Let c be the number of chairs
Total paint needed = 15858t + 2323c
Given t = 2 and c = 8, substitute t and c into expression to find total paint needed
Total Paint needed = 15858(2) + 2323(8)
= 31716 + 18584
= 50300 quarts of paint
Triangle ABC is similar to triangle DBE.
A А
D
18 mm
k mm
с
E
투
5 mm
10 mm
What is the value of k in millimeters?
A. 27 mm
B. 12 mm
C. 13 mm
D. 9 mm
Answer:
D
Step-by-step explanation:
51 is greater than or equal to x
Question Options:
51 < x
51 > x
51 ≥ x
51 ≤ x
Please explain as well, thanks!
Answer:
51 ≥ x
Step-by-step explanation
The greater than or equal to sign is a symbol that indicates that the value on the left hand side of the symbol is either greater than, or equal to the value on the right. This can also be read as the value on the left hand side is at least equal to the value on the right. X can equal 51 or it can be less. X cannot be greater than 51 in this inequality
Below is the graph of f(x) = 3 log10^ x. How would you describe the graph of
g(x) = 9 log10^x?
A. g(x) shifts f(x) to the right 3 units.
B. g(x) shifts f(x) up 3 units.
C. g(x) compresses f(x) by a factor of 3.
O
D. g(x) stretches f(x) vertically by a factor of 3
Answer:c
Step-by-step explanation:
Answer:D g(x) stretches f(x) vertically by a factor of 3.
Step-by-step explanation: ape3