Answer:
w = 7 cm
Step-by-step explanation:
Volume = 252 cm³
Height, h = 3cm
Let width = w
Length, l = w + 5
Volume of rectangular prism, V = l * w * h
252 = (w + 5) * w * 3
252 = (w + 5) * 3w
252 = 3w² + 15w
3w² + 15w - 252 = 0
w² + 5w - 84 = 0
w² + 12w - 7w - 84 = 0
w(w + 12) - 7(w + 12) = 0
(w + 12) = 0 or (w - 7) = 0
w = - 12 or w = 7
w cannot be negative
Hence, w = 7 cm
Answer: 7
Step-by-step explanation: 2x4=8. 7x2=14.
Answer:
Equations
Step-by-step explanation:
x=adult y=child
Day 1= 7x+8y= $168
day 2= 14x+13y= $294
Answer: 49.6
Step-by-step explanation:
125% = 1.25
1.25 * 0.8 = 1
62 * 0.8 = 49.6
Using the normal distribution, the probability that x is less than 110 is:
A. 0.975.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given as follows:

The probability is the <u>p-value of Z when X = 110</u>, hence:


Z = 2
Z = 2 has a p-value of 0.975.
Hence option A is correct.
More can be learned about the normal distribution at brainly.com/question/15181104
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