The quotient of 3 by 1/ 6 and that of 3/4 by 1/ 8 is 1/2 and 4 respectively
<h3>How to find the quotient</h3>From the given equation, we have to find
= 3/4 ÷ 1/8
First , we take the denominator of the second fraction to be the numerator, we have
=
Multiply through
=
=
To find the quotient of 3 by 1/6
=
=
=
Thus, the quotient of 3 by 1/ 6 and that of 3/4 by 1/ 8 is 1/2 and 4 respectively
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Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
We have the slope and the point
.
Substitute:
- point-slope form
Convert to the slope-intercept form (y = mx + b):
<em> use the distributive property</em>
<em>add 4 to both sides</em>
- slope-intercept form
Answer:
The surface area of the rectangular pyramid is
Step-by-step explanation:
we know that
The surface area of the rectangular prism is equal to the area of the rectangular base plus the area of the four triangular faces
so
Answer:
m= 1/2.
Step-by-step explanation:
To solve this, we must make the bases equivalent. We can do this by finding the common base which is 5.
We know that 125= 5³ and 25=5², which will help us in this equation. We can rewrite the equation substituting this for the original numbers:
Distribute the exponents to get:
Now, we can simply ignore the '5' and solve for 'm':
6m= 2m+2
4m= 2
m= 1/2.
Answer:
a.is approximately normal because of the central limit theorem.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Sample limit of 32 > 30, so the distribution is approximately normal because of the central limit theorem, and the correct answer is given by option a.