Answer:
66
Step-by-step explanation:
EHG is a straight line so it is 180°.
You already know the value of FHG, so you can find the value of 2x.
180° = 48° + 2x
2x = 180° - 48°
= 132
x = 132° ÷ 2
= 66
Answer:
12
Step-by-step explanation:
Given that
Current count of pushups = 8
Number of increase in pushups each day = 2
The desired pushup goal on daily basis = 30
Days require = x= ?
as we can conclude the number of pushups would increase by following sequence
8, 10, 12, 14, 16, ......30
Now as we can be the number of pushups by a constant number each day it means this sequence is arithmetic.
First term of our sequence is X1 and the final term is Xn, and the difference between two consecutive terms (Common Difference) is 2.
So
X1 = 8
Xn = 30
d = 2
Using the formula of nth term for arithmetic sequence
Xn = X1 + (n-1)d
Substituting the values
30 = 8 + (n-1)2
30-8 = (n-1)2
22 = 2n -2
22+2 = 2n
2n = 24
n = 24/2
n = 12
So, it means on the 12th day he will have to do 30 pushups if he starts from 8 and increase 2 pushups each day.
The difference in the proportion of males and the proportion of females that smoke is 0.08
<h3>Missing information </h3>
In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.
<h3>How to determine the proportion difference?</h3>
The given parameters are:
Male Female
Sample 61 48
Smokers 15 8
The proportion is calculated using:
p = Smoker/Sample
So, we have:
Male = 15/61 = 0.25
Female = 8/48 = 0.17
The difference is then calculated as:
Difference = 0.25 - 0.17
Evaluate
Difference = 0.08
Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08
Read more about proportion at:
brainly.com/question/16828793
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Answer:
92
Step-by-step explanation:
x= the ideal mark for his third test
100 + 63 + x/3 = 85
163+x=85x3
163 + x = 255
x=92
He would need to get at least a 92 to have the 85 average.
