Answer:
306mm²
Step-by-step explanation:
the height h = 86/2 -34 = 43-34=9mm
the area = 34×9= 306mm²
Answer:
Option B
Step-by-step explanation:
Given that a candy manufacturer is interested in the distribution of colors in each of its packages of candy sold. The manufacturer randomly sample packages from multiple batches at one factory.
Because he resorts to only one factory, there may be bias in the sample. Other factories may have different processes of the settings and also if a diversified sample is taken then it is likely to represent the whole population, and hence results would be more accurate
Option A is incorrect since only one factory was done
C and D are not selected because one factory result cannot be generalised to all other factors in the same country or outside.
So answer would be
B) No, because the other factories may have different processes or the settings
Answer:
140
Step-by-step explanation:
ANSWER
The general solution is
, where
is an integer
<u>EXPLANATION</u>
In order to solve the linear congruence;

We need to determine the inverse of
(which is a Bézout coefficient for 33).
To do that we must first use the Euclidean Algorithm to verify the existence of the inverse by showing that;

Now, here we go;



The greatest common divisor is the last remainder before the remainder of zero.
Hence, the
.
We now express this gcd of 1 as a linear combination of 33 and 280.
We can achieve this by making all the non zero remainders the subject and making a backward substitution.


Equation (2) in equation (1) gives,



The above linear combination tells us that
is the inverse of
.
Now we multiply both sides of our congruence relation by
.

This implies that;

.
Since this is modulo, the solution is not unique because any integral addition or subtraction of the modulo (280 in this case) produces an equivalent solution.
Therefore the general solution is,
, where
is an integer
Answer:
The value of the shares Samantha owns is $3,010
Step-by-step explanation:
Step 1
We add all the shares together and find out the cost of each share per dollar
Samantha owns 70 shares, Nyla owns 50 shares, and Jerry owns 40 shares.
Total amount of shares = (70 + 50 + 40) shares
= 160 shares
Step 2
The cost of share per dollar =
Values of shares/ Total number of shares
= $6,880/160 shares
= $43
1 share = $43
Step 3
The value of the shares Samantha owns is calculated as:
Number of shares Samantha owns × cost of share per dollar
Samantha owns 70 shares
Hence:
= 70 × $43
= $3010
The value of the shares Samantha owns is $3,010