Approximately 70% of the visitors to the theme park are older than about 12.3.
A z-score of about -0.53 is position on the normal distribution for finding the amount above 30% (70%).
Therefore, we can write and solve the following equation:
(x - 15) / 5.2 = -0.53
x - 15 = -2.756
x = 12.244
The closest amount is 12.3.
Mr. Valentino can`t go over his budget of $25. The amount of money times the amount of boxes needs to be less than or equal to $25:
Answer: A ) $1.75 x ≤ $25,
where x is the amount of boxes he bought.
Answer:
<em>The quotient is 
</em>
Step-by-step explanation:
Given expression is: 
<em>While dividing two fractions, first we need to change the division sign into multiplication and then flip the second fraction. </em>
So, we will get.....
![\frac{5}{4c^2}\div \frac{15}{7c}\\ \\ =\frac{5}{4c^2}\times \frac{7c}{15}\\ \\ =\frac{35c}{60c^2}\\ \\ = \frac{7}{12c} \ \ [Dividing\ both\ numerator\ and\ denominator\ by\ 5c]](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4c%5E2%7D%5Cdiv%20%5Cfrac%7B15%7D%7B7c%7D%5C%5C%20%5C%5C%20%3D%5Cfrac%7B5%7D%7B4c%5E2%7D%5Ctimes%20%5Cfrac%7B7c%7D%7B15%7D%5C%5C%20%5C%5C%20%3D%5Cfrac%7B35c%7D%7B60c%5E2%7D%5C%5C%20%5C%5C%20%3D%20%5Cfrac%7B7%7D%7B12c%7D%20%5C%20%5C%20%5BDividing%5C%20both%5C%20numerator%5C%20and%5C%20denominator%5C%20by%5C%205c%5D)
So, the quotient is
A.
h = 14 ft · sin 30° = 14 ft · 0.5 = 7 ft.
b.
From the bottom of the height to the bottom of the slide:
y² = 14² - 7² = 196 - 49 = 147
y = √147 = 12.12 ft
15 ft - 12.12 ft = 2.88 ft ( from the bottom of the stairs to the bottom of the height )
tan x = 7 / 2.88 = 2.43
∠x = tan^(-1) 2.43
∠x = 67.63° ≈ 68°.
Answer:
The equation that models the relationships between 
, the number of hours Mark reads, and , 
the number of pages of the book he reads is:
Step-by-step explanation:
Given:
Mark reads 42 pages every 
hour.
The number of hours is given by =
The number of pages is given by =
The equation can be modeled as:
where 
represents rate of change and 
represents the y-intercept or the initial value.
Rate of change =
The initial value 
as Mark starts reading from 0.
So, the equation is:
