List out all factors of each number, and find the first common one.<span>44</span> : <span>1,2,4</span>
16 : <span>1,2,4,8,16</span>
Therefore, the GCF is <span>44</span>.
List all prime factors of each denominator, and find the intersection of these primes.<span>44</span> : <span>2,2</span>
<span>1616</span> : <span>2,2,2,2</span>
Therefore, the GCF is <span>2×2=4
</span>Divide the numerator (4) by the GCF
<span>4÷4=1
</span>Divide the denominator (16) by the GCF
<span>16÷4=4
</span> Rewrite the fraction in the simplified form
<span><span>14 , and the decimal form will be 0.4.</span></span>
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Answer:
SA = 288 cm
Step-by-step explanation:
l = 12
w = 4
h = 6
SA = 2lw + 2wh + 2lh
SA = (2 x 12 x 4) + (2 x 4 x 6) + (2 x 12 x 6)
SA = 96 + 48 + 144
SA = 288
Vertex form formula: y = a(x-h)^2 +k, with vertex (h,k)
There are multiple ways to find the vertex. One way is to find the roots and then find the x value exactly in between them, because this parabola is symmetrical.
0 = (x - 3)(x + 2), so x = 3 and -2. The point directly in the middle is x = 1/2 = h
To find the y value of the vertex, plug in 1/2 to the equation.
(1/2)^2 - 2(1/2) + 5 = 4.25 = k
y = (x - 0.5)^2 + 4.25
Answer:
n is 192
Step-by-step explanation:
Given data
Cl = 95%
interval = 0.2
to find out
what value n
solution
we have interval = 0.2
so interval has width at most is 0.5 so
margin of error E = 0.2 /2 = 0.1
and we know Z value for 95% Cl is 1.96 from z table
so sample n = Z²/E² ( ( 1 - 0.5) 0.5 + ( 1 - 0.5) 0.5 )
n = 1.96²/0.1² ( ( 1 - 0.5) 0.5 + ( 1 - 0.5) 0.5 )
n = 192.08
so n is 192