Well, for
solving system of equations, we can use either substitution where we plug one
equation into the other, or elimination where we combine the equations.
-
Using elimination,
you would to eliminate one variable from both equations, so you automatically would
get one equation with one variable!
The distribution shaped for which the mean and median must be about the same will be:
D. Symmetric
E. uniform
<h3>How to illustrate the information?</h3>
In a symmetric distribution, the median is equal to the mean. The bell-shaped distribution is same as the standard normal distribution.
In a right-skewed distribution, the median is much less than the mean and a bimodal distribution is one with two modes.
Therefore, the correct options are D and E.
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<u>Unit rate 4:</u>
The table
d n
4 1
8 2
16 4
<u>Unit rate 1/4:</u>
Table
d n
1 4
4 16
16 64
and
The equation n=4d
<u>Unit rate 16:</u>
Equation:
d = 16n
Step-by-step explanation:
The unit in the unit rate is dollars per unit ounces which means that the unit rate calculated by

So,
The first option is the equation:

The unit rate is 16 dollars per ounce
The second option is the table:
d n
1 4
4 16
16 64
We can take any pair of values of d and n from the table to calculate the unit rate
So taking
d = 1
n=4

The unit rate for table is: 1/4 dollars per ounces
Third option is the equation:
n = 4d

dividing both sides by n

dividing both sides by 4

the unit rate is 1/4 dollars per ounce
Fourth option is the table:
d n
4 1
8 2
16 4
We will take any pair of d and n to find the unit rate
So,
Taking
d = 4
n =1

The unit rate is 4 dollars per unit ounce.
Keywords: Unit rate, units
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Answer:
it is given
, angle 2
, angle 3
, converse alternate exterior angles theorem
Step-by-step explanation:
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because it is <u>given
</u>. We see that <u>
angle 2
</u> is congruent to <u>angle 3</u> by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the <u>
converse alternate exterior angles theorem
</u>.
The chances that the student was merely guessing is 1/3.
Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.
denoted by

let A be the event that the student knows the answer .
B be the event that the student does not knows the answer .
and
E be the event he gets answer correct .
According to the given question

Probability that the answer is correct ,given that he knows the answer is

Probability that the answer is correct ,given that he guesses it is
[as the MCQ has 3 options and only one is correct]
We need to find the probability that he guesses the answer given that it is correct.
Required probability 
Substituting the values we get


Therefore , the chances that the student was merely guessing is 1/3.
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