Answer: The cost of adult ticket is $6.1 and that of student ticket is $2.44
Step-by-step explanation:
Let the cost of adult ticket be 'x' and cost of student ticket be 'y'
From the question, the equations formed are:
[tex]662.5=85x+65y[/tex] .....(1)
[tex]x=2.5y[/tex] ......(2)
Putting value of 'y' from equation 2 to equation 1:
[tex]662.5=85(2.5x)+65y\\\\662.5=271.5y\\\\y=\frac{662.5}{271.5}=\$ 2.44[/tex]
Now, solving for 'x', we get:
[tex]x=2.5(2.44)=\$ 6.1[/tex]
Hence, the cost of adult ticket is $6.1 and that of student ticket is $2.44
Suppose that a population parameter is 0.3, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values? O A. 0.4 O B. 0.1 O C. 0.3 O D. 0.2 SUBMIT
Using the Central Limit Theorem, it is found that the mean of the sample proportions would approach 0.3, hence option C is correct.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, we have that the parameter is p = 0.3, hence the mean of the sample proportions would approach 0.3 and option C is correct.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
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Class 5A can complete a project in 15 days while class 5B needs twice that amount of time. To complete this project before the summer festival, both class 5A and class 5B need to work together. Due to other tasks, class 5A has to leave for 3 days while class 5B has to leave for 6 days. Knowing that both classes do not leave at the same time, and they do work together on some days, what is the total number of days taken to complete this project?
Answer:
it takne 23 days to complete it I hope it is clear add all the no
1. A resident lot has the shape of a parallelogram. Its base measures 20 meters. The distance between the
parallel sides is 8 meters. What is the area of the lot?
Answer:
160 m²
Step-by-step explanation:
Given :
A parallelogram shaped lot :
Base of lot = 20 m
Distance between parallel sides, = height of lot = 8 m
The area of the lot can be obtained using the area formula of a parallelogram :
Area = base * height
Area = 20 m * 8 m
Area = 160 m²
Without using mathematical table or calculator simplify 3 4/9 ÷(5 1/3 _ 2 3/4) + 5 9/10
Answer:
[tex]{ \tt{3 \frac{4}{9} \div (5 \frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{31}{12} ) + \frac{59}{10} }} \\ \\ { \tt{ = \frac{4}{3} + \frac{59}{10} }} \\ \\ { \bf{ = \frac{217}{30} }} \\ \\ { \boxed{ \tt{answer : 7 \frac{7}{30} }}} \\ \\ { \underline{ \blue{ \tt{becker ⚜jnr}}}}[/tex]
Answer:
[tex]7 \frac{7}{30}[/tex]
Step-by-step explanation:
[tex]3 \frac{4}{9} \div ( 5\frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10}\\\\\frac{31}{9} \div (\frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} \\\\\\Solving \ using \ BODMAS\\\\First \ Solve \ expression \ inside \ Bracket \\\\\frac{31}{9} \div (\frac{(16 \times 4) - ( 11 \times 3)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div (\frac{64- 33)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div \frac{31}{12} + \frac{59}{10} \\\\\\ \\\\\\Next \ solve \ Dvision \\\\\frac{\frac{31}{9}}{\frac{31}{12}} + \frac{59}{10}\\\\[/tex]
[tex](\frac{31}{9}} \times {\frac{12}{31}) + \frac{59}{10}[/tex]
[tex]\frac{4}{3} + \frac{59}{10}\\\\ Now \ solve \ final \ expression \\\\\\\frac{(4 \times 10) + ( 59 \times 3)}{30}\\\\\frac{40 + 177}{30}\\\\\frac{217}{30}\\\\7 \frac{7}{30}[/tex]
Which fraction is closest to 1/2?
A:1/6
B:3/8
C:3/4
D:-1/2
Solve for X.
12x − 39 ≤ 9 AND −4x + 3 < −6
Choose 1 answer:
A. x ≥ 4
B. 9/4 < x < 4
C. x > -9/4
D. There are no solutions.
E. All values of X are solutions.
Answer: D.There is no answer.
Step-by-step explanation:
1 point
1. To win a prize, Jada must get a ball with an even number. Should she try
to win the prize using the tank of table tennis balls or the tank of golf balls?
A large fish tank is filled with table tennis balls with numbers written on them. Jada chooses 10
table tennis balls from the tank and writes down their numbers.
1
3
5
1
3.2
4
1
5
3
A second tank is filled with golf balls with numbers written on them. Jada chooses 10 golf balls
from the tank and writes down their numbers.
1
4
5
2.
6
2
2
1
4
O Jada should use the tank of tennis balls.
O Jada should use the tank of golf balls.
1b. Explain your reasoning."
Answer:
Step-by-step explanation:
What Jada needs is a tank which gives him a higher or greater probability of selecting an even number :
Tennis balls :
Total outcome = 10
Even outcomes = (2, 4) = 2
Golf balls :
Total outcome = 10
Even outcomes = (4,2,6,2,2,4,8) = 7
Probability = number of outcomes / number of trials
For tennis balls
P(even) = 2 / 10 = 0.5
For golf :
P(even) = 7/10 = 0.
CHECK MY ANSWERS PLEASE
Kevin's savings account balance changed from $1140 in January to $1450 in April. Find the average rate of change per month. Round your answer to the nearest dollar.
$78 per month
$50 per month
$310 per month
$103 per month*****
Answer:
yessss that's correct!
Step-by-step explanation:
Question 14 of 14
Which expression gives the distance between the points
(1,-2) and (2, 4)?
O A. (1+23° +(2-47
O B. (1-2)*+(-2-4)
O c. 111-23 +4:32-47
O D. Hit+2y +(2-479
Answer:
c
Step-by-step explanation:
which expression is equivalent to (4 - 3i) + (-2 + 10i)?
A. 9i
B. -9i
C. 2+7i
D. 2-13i
Answer:
C. 2+7i
Step-by-step explanation:
(4 - 3i) + (-2 + 10i)
Combine like terms
4-2 -3i +10i
2 +7i
Answer: The answer is C, 2 + 7i
Step-by-step explanation:
Please help me with this math word problem
which statement is true? please help!
Does a even number have any related numbers that are odd like 3 or 7?
Answer:
I do not think that there is any even numbers related to odd numbers
How can you use problem-solving strategies in solving personal, professional, and mathematical problems? Explain in 5-7 sentences and I will mark you the brainliest.
Answer:
Step-by-step explanation:
Problem-solving strategies are created as ways of making a problem easier to understand and this leads to it being easier to solve. For example, one strategy is known as compartmentalizing. This involves splitting a problem into various smaller problems. It makes solving these smaller problems easier and less stressful, and once the smaller problems are solved the bigger one is automatically solved as well. Such a strategy can be applied to any problem in any category including math.
can someone help me please
=========================================================
Explanation:
The horizontal pieces are the parallel bases
b1 = 17 and b2 = 9
The height is always perpendicular to the base, so h = 8
The 4 ft portion won't be used in the next section, so we can ignore it.
---------
Plug the values mentioned into the trapezoid area formula below. Simplify.
A = h*(b1+b2)/2
A = 8*(17+9)/2
A = 8*26/2
A = 8*13
A = 104 square feet
We can abbreviate "square feet" into "sq ft" or "ft^2" without quotes.
----------
As another approach, you can split the trapezoid into 2 triangles and a rectangle in between. Then find the area of each small piece, and add up those smaller areas to get the final answer. You should get 104. If you go with this approach, then you will use the 4 ft portion to help find the horizontal length of the triangle on the right.
if you had to report on the salaries for different occupations, do you think it would be better to report the mean or the median value
what is the slope of the line that passes through these two points?
Answer:
The answer seems to be 3/1.
Step-by-step explanation:
Use the equation:
(y2-y1)/(x2-x1)
(3x^ - 6x +11) - (10x^ - 4x + 6)
Answer:
3x−6x+11−(10x−4x+6)
=5x10−10x7+3x5
x10
=5x5−10x2+3
x5
Step-by-step explanation:
i hope this helps and i hope you understand this, sorry if you dont understand
If Volume of a Prism=36 m3
, then what is the volume of a pyramid?
V(volume of pyramid) = ⅓ x V(volume of prism)
V(pyramid) = 1 x 36 m³/3V(pyramid) = 12 m³___________________________
And, to get the volume of prism, simply multiply the volume of pyramid by 3.
if volume of pyramid=12m³, then volume of prism is 36 m³.
Solution;:
V(volime of prism) = V(volume of pyramid) x 3
V(prism) = 12m³ x 3V(prism) = 36 m³___________________________
Hence, there are 3 pyramids, and each pyramid has a volume of 12m³, these can exactly fit inside a prism with a volume of 36m³.
Ayuda es para mañana plsss
Answer:
Divido es numero
Step-by-step explanation:
1. 1045.90
2. 579.60
3. 634.15
4. 1084.71
What is the slope of the line in the graph?
The easiest way to find slope is to look at your first point and count how many boxes it is going up and then to the side. It's always going to be the rise over run. The awnser to this question is 2/1 or just 2.
Triangle B C D is shown. Angle C D B is a right angle. Altitude a is drawn from point D to point E on side C B, forming a right angle. B D is labeled c and C D is labeled D. The length of B E is 18 and the length of E C is 4.
What is the value of a?
6 StartRoot 2 EndRoot
9
8 StartRoot 3 EndRoot
36 StartRoot 2 EndRoot
Answer:
6√2
6 StartRoot 2 EndRoot
Step-by-step explanation:
To solve for q, we apply the leg rule theorem or leg geometric mean theorem :
The hypotenus = 18 + 4 = 22
Leg 1 = b
Part1 = 4
According to the leg rule theorem :
Hypotenus / leg 1 = leg 1 / part 1
22 / b = b / 4
Cross multiply :
b * b = 22 * 4
b² = 88
b = √88 = √88 = √4 * √22 = 2√22
From Pythagoras :
a² = b² - 4²
a² = (√88)² - 16
a² = 88 - 16
a² = 72
a = √72 = √36 * √2 = 6√2
Answer:
A
Step-by-step explanation:
edge2021
Twain's decision to end "The War Prayer" with the townspeople ignoring what
the stranger said is a good example of
A. irony
B. polyptoton
C. coincidence
D. parallelism
SUBMIT
Answer:
Irony
Explanation:
I just took the test
Explain how to do this and provide with an answer.
Answer:
V=480m^2
Step-by-step explanation:
FIND ALL THREE ANGLES
Answer:
Austin = 38
Atlanta = 89
Chicago = 89
Step-by-step explanation:
First, solve for x. All angles together equal 180. Set your formula up as
180 = 2x - 12 + 2x + 3 + 4x - 11
180 = 8x -20
180 + 20 = 8x
200 = 8x
200 / 8 = x
25 = x
Now substitute 25 in place of x
Austin
2x - 12
2*25-12 = 38
Atlanta
4x-11
4*25-11 = 89
Chicago
2x+3
2*25+3 = 53
Add all your angles together to check your work
the graph of y= -2x + 11 is:
Answer:
D. a line that shows only one solution to the equation
Step-by-step explanation:
I hope this helps uwu.
Penny has a rectangular flower garden. The following polynomial gives the volume, V, of the garden with soil height, h.
V(h) = h3 + 5h2 – 24h
The product (h+8)(h-3) is a factor of the polynomial V(h). What does this product represent?
Answer:
30-24= 6h
Step-by-step explanation:
2. Graph on a coordinate plane or explain how to graph: x = 5
Answer:
x = 5 is a vertical line at x = 5
Find the value of x
(it needs to be 20 characters so don’t mind the extra ness ………..)
Evaluate the expression when a = 7 and c= -4.
-a+5c
pls help
Answer:
-27
Step-by-step explanation:
a = 7 and c = -4
- a + 5 c
- ( 7 ) + 5 ( - 4 )
- 7 - 20
- 27