Answer:
Length: 14 feet Width: 1 foot
Step-by-step explanation:
This is the only way to have a rectangle that has a perimeter of 30 feet, and an area of 14 feet.
For perimeter:
14 + 14 = 28
1 + 1 = 2
2 + 28 = 30
These dimensions have a perimeter of 30.
For area:
14 x 1 = 14
These dimesnions also have an area of 14.
So, 14 and 1 are the correct dimensions!
Answer:
a.2
Step-by-step explanation:
Using the normal distribution, the probabilities are given as follows:
a. 0.4602 = 46.02%.
b. 0.281 = 28.1%.
<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.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters are given as follows:

Item a:
The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:


Z = 0.1
Z = 0.1 has a p-value of 0.5398.
1 - 0.5398 = 0.4602.
Item b:

By the Central Limit Theorem:


Z = 0.58
Z = 0.58 has a p-value of 0.7190.
1 - 0.719 = 0.281.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
<h2>3x - 2</h2>
Step-by-step explanation:
<em>The distributive property</em>:
<em>a(b + c) = ab + ac</em>

Answer:

Step-by-step explanation:
Given


Required
Find XY
Represent BC and XY as a ratio;

Recall that:

Equate both ratios;

Convert to fractions

Cross Multiply


Divide through by 3


Hence:
