Answer: 475 adults paid admission
Step-by-step explanation:
1.50c+4a=5050 (1.50 per child and 4 per adult)
1.50(2100)+4c=5050 (2100 children times 1.5 each)
3130+4a=5050
4a=1900
a=475
Answer:
x=30
Step-by-step explanation:
2x+2x+x+x=180
6x=180
x=30
Answer:

Step-by-step explanation:
<u>Given:</u>
The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)
<em>And,</em>
The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).
<u>To Find</u>:
The Area of Shaded region
<u>Solution:</u>
When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

Put their values accordingly:

<u>Simplify it.</u>
<em>[</em><em>Follow BODMAS Rule strictly while </em><em>simplifying]</em>


Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

I hope this helps!
Answer:
-50x + 600 = 250
Step-by-step explanation:
10x + 60(10-x) = 250
10x + 600 - 60x = 250
-50x + 600 = 250
Answer:
(a) 0.2061
(b) 0.2514
(c) 0
Step-by-step explanation:
Let <em>X</em> denote the heights of women in the USA.
It is provided that <em>X</em> follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.
(a)
Compute the probability that the sample mean is greater than 63 inches as follows:

Thus, the probability that the sample mean is greater than 63 inches is 0.2061.
(b)
Compute the probability that a randomly selected woman is taller than 66 inches as follows:

Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.
(c)
Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:

Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.