<span>14 = GCF of M and 210
M = possible values
GCF = Greatest common denominator
Now, let’s start decomposing
=> 210 | 2
=> 105 | 2
=> 35 | 5
=> 7 | 7
=> 1
Thus, 2 x 3 x 5 x 7 = 210
Now let’s find the factors of 14
=> 14 | 2
=> 7 | 7
=> 1
Thus, 2 x 7 = 14
Notice that’s there’s no 14 in 210 shown factors, but the only GCF found is 7.
Thus, the value of M that we’re looking for is infinite. All numbers that has
the GCF of 7 are applicable.</span>
4(4x)+(x)
= 16x+x
Combine like terms
16x+x
(16x+x)
= 17x
x=17
I hope that's help ! Good night .
Answer:
The correct option is (b).
Step-by-step explanation:
If X 
N (µ, σ²), then 
, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z N (0, 1).
The distribution of these z-variate is known as the standard normal distribution.
The mean and standard deviation of the active minutes of students is:
<em>μ</em> = 60 minutes
<em>σ </em> = 12 minutes
Compute the <em>z</em>-score for the student being active 48 minutes as follows:
Thus, the <em>z</em>-score for the student being active 48 minutes is -1.0.
The correct option is (b).
Answer:
colby
hourly rate =$8.90
overtime rate = time and a half = 1.5
the hourly overtime rate is the product of the overtime rate and the hourly rate.
hourly overtime rate= overtime rate × hourly rate
= 1.5 × $8.90
= $13.35
Cheryl
hourly rate = $7.10
overtime rate = double time = 2
the hourly overtime rate is the product of overtime rate and the hourly rate.
hourly overtime rate = overtime rate × hourly rate
= 2 × $7.10
= $14.20
<h3>Comparison</h3>
we note that the hourly overtime rate of cheryl is higher than the hourly overtime rate of colby, which implies that cheryl earns more for one hour of overtime.
we are also interested in the difference of the hourly overtime rate:
hourly overtime rate colby — hourly overtime rate cheryl
= $14.20 – $13.35
= $0.85
thus cheryl earns $0.85 more for one hour of overtime than colby .
<h3>result</h3>
<h2>cheryl,$0.85</h2>
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