Question:
The admission fee at a carnival is $3.00 for children and $5.00 for adults. On the first day 1,500 people enter the fair and $5740 is collected. How many children and how many adults attended the carnival?
Answer:
Number of children and adults attended the carnival are 880 and 620 respectively
Step-by-step explanation:
Given:
The admission fee at a carnival for children = $3.00
The admission fee at a carnival for adults = $5.00
Number of people entered the fare on first day= 1500
Total amount collected on the first day = $5740
To Find:
Number of children and adults attended the carnival =?
Solution:
Let
The number of children be x
The number of adults be y
The we know that on the first day the total number children visited the fare was 1500
x + y = 1500
x = 1500 - y------------------------------(1)
Also the total fare collected was $5740
x(3) + y(5) = 5740
3x + 5y = 5740-------------------(2)
Substituting (1) in (2),
3 (1500 - y) + 5y = 5740
4500 -3y + 5y = 5740
-3y + 5y = 5740 - 4500
2y = 1240
y = 620 adults
From 1 ,
x = 1500 - 620
x =880
Let's represent the number of weeks with the variable 'w':
130 + 25w = 600
We subtract both sides by 130:
25w = 470
w = 18.8
We round up:
It will take her 19 weeks.
Answer: 0.9104
Step-by-step explanation:
Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.
Mean : 
Standard deviation : 
Sample size : n=10
Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.
So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.
We assume that the length of the bolts are normally distributed.
Let X be the random variable that represents the length of randomly picked bolt .
For Z score : 
For x = 11.97
For x = 12.04
By using the standard normal distribution table , the probability that the shipment is found satisfactory will be :-
Hence, the probability that the shipment is found satisfactory=0.9104
20 percent
If you cross multiply 30 w/ 100 and then divide it by 150 you will get 20.
Answer:
y = -2/3x + 3
Step-by-step explanation:
y = -2/3x + b
5 = -2/3(-3) + b
5 = 2 + b
3 = b
