Commutative property allows you to change the order of an expression. Therefore, this expression is an example of commutative property.
Answer:
I do not agree because Mario's claim is not general.
Step-by-step explanation:
Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.
And a denominator is the divisor in a given fraction.
Considering the following fractions whose denominators are prime numbers:
= 0.66666666...
= 0.142857142
= 0.45454545...
= 0.23076923
= 0.142857142
It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.
We can solve this problem by referring to the standard
probability distribution tables for z.
We are required to find for the number of samples given the
proportion (P = 5% = 0.05) and confidence level of 95%. This would give a value
of z equivalent to:
z = 1.96
Since the problem states that it should be within the true
proportion then p = 0.5
Now we can find for the sample size using the formula:
n = (z^2) p q /E^2
where,
<span> p = 0.5</span>
q = 1 – p = 0.5
E = estimate of 5% = 0.05
Substituting:
n = (1.96^2) 0.5 * 0.5 / 0.05^2
n = 384.16
<span>Around 385students are required.</span>
Answer:
y = -7/6x
Step-by-step explanation:
y - y1 = m*(x-x1)
m=y/x
y - (-7) = -7/6*(x-6)
y + 7 = -7/6x + 7
y = -7/6x + 7 - 7
y = -7/6
I found the correct image that accompanies this problem and edited it with my answers.. Pls. see attachment.
Based on the attachment, the correct statements are:
<span>1) DO,2 (x,y) = (2x, 2y)
2) Side Q'S' lies on a line with a slope of -1.
Q'(-6,6) S'(-2,2)
m = y1 - y2 / x1 - x2
m = 6 - 2 / -6 - (-2)
m = 4 / -4
m = -1
</span><span>5) The distance from Q' to the origin is twice the distance from Q to the origin.
</span>