The value of b and c is 4 and 7.
<h3>What is algebra?</h3>
Algebra is the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.
Elementary algebra: elementary algebra, branch of mathematics that deals with the general properties of numbers and the relations between them. Algebra is fundamental not only to all further mathematics and statistics but to the natural sciences, computer science, economics, and business.
From the given question,
This expression can also be written in the form of 
We will convert
to the required form:

Hence,
From the above equation we get the value of b and c is 4 and 7.
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No of outcomes =8
P(odd)=1/2
P (<6)=5/8
Required probability of P(odd) and P (<6) = 1/2*5/8=5/16
Volume of the pyramid = (1/3) x Area of the base x
Height ---------- (1)
As the base length = 5 feet
So Area of the base = 5 x 5 = 25 square feet
While volume of the pyramid = 75 cubic feet
Putting values in equation (1);
75 = (1/3) x 25 x Height
Height = (75 x 3) / 25
Height = 9feet
<span>So 2nd option is correct.</span>
Answer:
A systematic sample
Step-by-step explanation:
since there is an increasing trend in the unpaid balances because of the rising cost of housing the best approach is A systematic sample.
A systematic sample is preferred because it will capture the individual debts over the period of 20 years (i.e. the whole 20 years of mortgages ) while a simple random sample will just capture a certain period and its result will not represent the true nature of indebtedness .
Answer:
< CFE = 40°
Step-by-step explanation:
To better understand the solution, see attachment for the diagram.
Given:
BC parallel to DE
Measure of Arc BD = 58°
Measure of Arc DE = 142°
First step: Draw a diameter that passes through the centre of the circle and name it. In this case, the diameter is line ST.
The line ST divides the arc BD and arc DE into half.
That is:
Arc SC = 1/2(arc BC) =1/2(58)
Arc SC = 29°
Arc TE = 1/2(arc DE) =1/2(142)
Arc TE = 71°
Arc SC + Arc CE + Arc TE = 180° (Sum of angles in a semicircle
29° + Arc CE + 71° = 180°
Arc CE + 100° = 180°
Arc CE = 180-100
Arc CE = 80°
Inscribed angle = 1/2(intercepted angle)
<CFE = 1/2(Arc CE )
<CFE = 1/2(80)
< CFE = 40°