Answer:
The answer to the question is -1.32
Step-by-step explanation:
The first step will be to write out the equation that we are working with:
This equation is
The next step is to write out the values of the figures that we are substituting:
Substitution in mathematics can best be understood as "something being used in place of another thing". This means that wherever the first variable appears in an equation, the substituting values will replace it and multiply the number it is attached to.
In this case, we will replace the 'b' and the 'a' with the - 1.2 and - 3 respectively.
<u><em>Answer:</em></u>
∠BOY = 38°
<u><em>Explanation:</em></u>
<u>From the diagram, we can note that:</u>
m∠TOY = m∠TOB + m∠BOY ...................> equation I
We are given that ray OB bisects the angle
<u>Therefore:</u>
m∠TOB = m∠BOY
<u>Substitute in equation I:</u>
m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II
<u>We are given that:</u>
m∠TOY = 8x-36
m∠TOB = x+24
<u>Substitute with the givens in equation II and solve for x:</u>
m∠TOY = 2m∠TOB
8x - 36 = 2(x + 24)
2(4x-18) = 2(x+24)
4x - 18 = x + 24
3x = 42
x = 14
<u>This means that:</u>
m∠TOB = x + 24 = 14 + 24 = 38°
<u>Since </u>
m∠TOB = m∠BOY
<u>Therefore:</u>
m∠BOY = 38°
<u>Check:</u>
m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB
Hope this helps :)
Answer:
Step-by-step explanation:
When we collect a large data we may find a single entry repeated. In these cases we prepare frequency distribution with x = the item in one column and f = the no of times it repeats i.e. frequency in other column.
Similarly for class intervals also, we write as frequency to the right side of interval column which gives no of items which fall within the class.
This process ensures compact presenting of data.
Hence we have
a)The number of observations that fall in a class
answer: Frequency
b) The relative frequency of a class multiplied by 100
answer: Percentage. Because when we express probability as a percentage we get total 100
c) The ratio of the frequency of a class to the total number of observations
answer: Relative frequency
(Relative frequency also known as probability is frequency/total entries)
Answer:392.5
Step-by-step explanation:
50/2=25
25*25=625
625*3.14=1962.5
1962.5/5=392.5
