$30 is 60% of $50.
100 % is the whole figure. Based on the problem, 100 % is separated into two parts, 60% and 40%
100% = 60% + 40%
To get the number where $30 is 60%. Let X be the 100% number.
First, divide all number by 100% to remove the percentage and get the whole number.
100%X = 30 + 40%X
X = 30 + 0.40X
X - 0.40X = 30
0.60X = 30
To get X, divide both sides by 0.60
X = 30 / 0.60
X = 50
To check: Substitute all X by 50.
X = 30 + 0.40X
50 = 30 + (0.40*50)
50 = 30 + 20
50 = 50 EQUAL. CORRECT.
7/8 minus1/4 minus 1/2
7/8 - 1/4 - 1/2 =
(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =
7/8 - 2/8 - 4/8 =
(7 - 2 - 4)/8 =
1/8
the answer is 1/8
Answer:
AB = 14 and BC = 17
Step-by-step explanation:
Congruence is a property that shows an equal relation between sides or angles of a given figure or two figures.
From the question, the given conditions are;
BC = AD, AD = 17, DC = 14, and m< 1 = m<2 .
i. Considering the property of congruence of sides,
BC = 17 (∵ BC = AD and AD has been given to equal 17)
i.e BC = AD = 17
ii. Considering the property of congruent angles and sides,
AB = 14 (∵ m<1 = m<2 and DC is 14)
Therefore, AB = 14 and BC = 17.
Answer:
p-e< p < p+e
(0.061 - 0.025) < 0.061 < (0.061 + 0.025)
0.036 < 0.061 < 0.086
Step-by-step explanation:
Given;
Confidence interval CI = (a,b) = (0.036, 0.086)
Lower bound a = 0.036
Upper bound b = 0.086
To express in the form;
p-e< p < p+e
Where;
p = mean Proportion
and
e = margin of error
The mean p =( lower bound + higher bound)/2
p = (a+b)/2
Substituting the values;
p = (0.036+0.086)/2
Mean Proportion p = 0.061
The margin of error e = (b-a)/2
Substituting the given values;
e = (0.086-0.036)/2
e = 0.025
Re-writing in the stated form, with p = 0.061 and e = 0.025
p-e< p < p+e
(0.061 - 0.025) < 0.061 < (0.061 + 0.025)
0.036 < 0.061 < 0.086
