Since ED and DB are exactly half of EB, we can set ED and DB equal to each other.
x + 4 = 3x - 8
Subtract x from both sides. Add 8 to both sides
12 = 2x
Divide both sides by 2
6 = x
ED = 6 + 4 = 10
ED = DB = 10
EB = ED +DB = 10 + 10 = 20
ED = 10
DB = 10
EB = 20
The answer is a.
x^2 -10x+25 = x*x-2*5*x+5*5 => (x-5)(x-5)
Answer:
1. Dave worked for 34 hours.
2. Perimeter of the rectangle is 172 cm.
Step-by-step explanation:
1. Determination of the hours Dave worked.
Let D represent Dave.
Let M represent Mike.
Let J represent John.
Tota time worked by Dave, Mike and John is 56 hours. This can be written as:
D + M + J = 56 ..... (1)
Dave worked 6 more than 4 times as many hours as Mike. This can written as:
D = 6 + 4M .....(2)
John worked 6 less than 3 times as many hours as Mike. This can be written as:
J = 3M – 6 ........ (3)
Substituting the value of F and J into equation 1, we have:
D + M + J = 56
D = 6 + 4M
J = 3M – 6
6 + 4M + M + 3M – 6 = 56
6 – 6 + 4M + M + 3M = 56
8M = 56
Divide both side by 8
M = 56/8
M = 7
Substitute the value of M into equation (2) to obtain the value of D.
D = 6 + 4M
M = 7
D = 6 + 4(7)
D = 6 + 28
D = 34
Therefore, Dave worked for 34 hours .
2. Determination of the perimeter.
Length (L) = 64 cm
Width (W) = 22 cm
Perimeter (P) =?
P = 2(L + W)
P = 2 (64 + 22)
P = 2 (86)
P = 172 cm
Therefore, the perimeter of the rectangle is 172 cm
Using the normal distribution, it is found that she scores less than 128 in 28.1% of her games.
<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.
In this problem, the mean and the standard deviation are given, respectively, by
.
The proportion of games in which she scores less than 128 is the <u>p-value of Z when X = 128</u>, hence:


Z = -0.58
Z = -0.58 has a p-value of 0.281.
She scores less than 128 in 28.1% of her games.
More can be learned about the normal distribution at brainly.com/question/24663213
#SPJ1
Answer:
<u>69 years</u> after 2005 which is in <u>2074</u> year the average price of a studio in this city will reach $1081.10.
Step-by-step explanation:
Given:
Average Price to rent a studio is denoted by 'p'.
It is been approximated by equation:

where t ⇒ number of years since 2005
Now given:
Average Price to rent a studio p = $1081.10
Substituting the value of p in above equation we get;

Solving the new equation to find the value of t we get;

Dividing both side by 24.1 we get;

Hence<u> 69 years</u> after 2005 which is in <u>2074</u> year the average price of a studio in this city will reach $1081.10.
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