Answer:
Approximately 3.5 feet - Option B
Step-by-step explanation:
Imagine that you have this walkway around the garden, with dimensions 30 by 20 feet. This walkway has a difference of x feet between it's length, and say the dimension 30 feet. In fact it has a difference of x along both dimensions - on either ends. Therefore, the increases length and width should be 30 + 2x, and 20 + 2x, which is with respect to an increases area of 1,000 square feet.
( 30 + 2x ) 
( 20 + 2x ) = 1000 - Expand "( 30 + 2x ) ( 20 + 2x )"
600 + 100x + 4
= 1000 - Subtract 1000 on either side, making on side = 0
4 + 100x - 400 = 0 - Take the "quadratic equation formula"
( Quadratic Equation is as follows ) - 
,
,
There can't be a negative width of the walkway, hence our solution should be ( in exact terms ) 
. The approximated value however is 3.5081...or approximately 3.5 feet.
1st. Find the pattern
Pattern is dividing by 2.
24/2=12
12/2=6
6/2=3
Answer:
225 students are wearing school colors.
Step-by-step explanation:
1. we know that 75% or .75 of the students are wearing school colors.
2. to find what this number is we need to know what 75% of 300 is.
("of" is a keyword meaning multiply)
3. We can do this by multiplying:
300(.75) = 225
Answer:
The score that separates the lower 5% of the class from the rest of the class is 55.6.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Find the score that separates the lower 5% of the class from the rest of the class.
This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.
The score that separates the lower 5% of the class from the rest of the class is 55.6.
Answer:
300 miles
Step-by-step explanation:
The distance equation is D = RT
Where
D is the distance
R is the rate
T is the time
<u>Mindy</u>
8 am to 1 pm = 5 hours
<u>Kelly</u>
8 am to 2 pm = 6 hours
Kelly's rate is 10 mph SLOWER than mindy, so if we let Mindy's rate be "m", so Kelly's rate will be " m - 10 "
Now using the distance equation, we can write:
Mindy >>> D = RT >>> D = 5m
Kelly >>> D = RT >>> D = 6(m-10) >>> D = 6m - 60
Since both the distances are equal, we can write:
5m = 6m - 60
m = 60
We want the distance, we know:
D = 5m
D = 5(60)
D = 300 miles
The distance is 300 miles
