Answer:
x= -1/4
Step-by-step explanation:
suppose ,
The number is x
now,
twice a number = 2 . x = 2x
The product of twice a number and six = 2x . 6 = 12x
[ "product" means the result of multiplication]
Then,
Eleven times the number = 11 . x = 11x
The difference of eleven times the number and 1/4 = 11x - 1/4
= (44x-1)/4
Hence,
12x = (44x-1)/4
=>48x = 44x-1 [multiplied by 4 on both sides]
=>48x-44x=-1 [subtract 44x on both sides]
=>4x=-1 [divide both sides by 4]
=>x= -1/4
I'm pretty sure the 3rd one is right, use a calculator
The perimeter of a parallelgram is the sum of the lengths of its four sides.
Parallelogram ABCD has sides AB, BC, CD, and AB.
Sides AB and CD are parallel and of equal length = 19 units.
Sides BC and CD are parallel and of equal length. Assuming thi is the length of 5 units given in the statement, the perimeter of the parallelogram ABCD is: 19 units + 19 units + 5 units + 5 units = 48 units.
Please, inform if the length of 5 units corresponds to other distance, but even in that case, with this explanation you should be able to calculate the perimeter of this and other parallelograms.
Answer: 48 untis.
Answer:
Step-by-step explanation:
The table can be computed as:
Advertising Expenses ($ million) Number of companies
25 up to 35 4
35 up to 45 19
45 up to 55 27
55 up to 65 16
65 up to 75 9
TOTAL 75
Let's find the probabilities first:
For 35 up to 45
For 45 up to 55
For 55 up to 65
For 65 up to 75
Chi-Square Table can be computed as follows:
Expense No of Probabilities(P) Expe 
compa cted E (n*p)
nies (O)
25-35 4 0.0612 75*0.0612 = 4.59 0.3481 0.0758
35-45 19 0.2218 75*0.2218 = 16.635 5.5932 0.3362
45-55 27 0.3568 75*0.3568 = 26.76 0.0576 0.021
55-65 16 0.2552 75*0.2552 = 19.14 9.8596 0.5151
65-75 9 0.0839 75*0.0839 = 6.2925 7.331 1.1650
Using the Chi-square formula:
Null hypothesis:
Alternative hypothesis:
Assume that:
degree of freedom:
= n-1
= 5 -1
= 4
Critical value from 
Decision rule: To reject 
test statistics is greater than 
tabulated.
Conclusion: Since 
is less than critical value 11.667. Then we fail to reject 
Answer:
Step-by-step explanation:
In the question, we're given 
. Therefore, the measure of these two angles must be equal.
To find the value of 
, set these two angles equal to each other:
Add 26 and subtract from both sides:
Divide both sides by 3:
Since 
was labelled as 
, substitute 
to find its measure:
You can also substitute into the label of angle D as angle A is congruent to angle D for easier calculations (
).
