Answer:
62.5%
Step-by-step explanation:
plz mark the brainliest
Answer:
g(q) = 
Step-by-step explanation:
Given
- 7q + 12r = 3q - 4r
Rearrange making r the subject
Add 7q to both sides
12r = 10q - 4r ( add 4r to both sides )
16r = 10q ( divide both sides by 16 )
r = 
= , thus
g(q) =
The confidence interval formula is computed by:
Xbar ± Z s/ sqrt (n)
Where:
Xbar is the mean
Z is the z value
S is the standard deviation
N is the number of samples
So our given are:
90% confidence interval with a z value of 1.645
Sample size 40, 45
Mean 180, 179
Standard deviation 2, 4
So plugging that information in the data will give us a
confidence interval:
For 1:
Xbar ± Z s/ sqrt (n)
= 180 ± 1.645 (2 / sqrt (40))
= 180 ± 1.645 (0.316227766)
= 180 ± 0.520194675
= 179.48, 180.52
For 2:
Xbar ± Z s/ sqrt (n)
= 179 ± 1.645 (4 / sqrt (45))
<span>= 179 ± 1.645 (0.596284794)</span>
therefore, the answer is letter b
The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides
VT/TK = VY/YK
95.2/168 = 34/YK
YK = (168·34)/95.2 = 60 cm
x = VY + YK = 34 + 60 = 94 cm
Answer:
2 x 7
Step-by-step explanation:
a * b = 14
2a + 2b = 18
(a * b)/b = 14/b Dividing both sides by b
a = 14/b
Substitute a in the perimeter equation
2(14/b) + 2b = 18
28/b + 2b = 18
2b - 18 + 28/b = 0
Multiply both sides by b
2b^2 - 18b + 28 = 0
Divide both sides by two
b^2 - 9b + 14 = 0
The Factors of 14 include -2 and -7 which add up to -9
(b - 2) * (b - 7) = 0
This has two answers because b can be either the side that is 2 long or 7 long, so there's no need to go back and solve for a.
2 x 7
