Answer:
none of those are correct.
Step-by-step explanation:
5 red
7 blue
8 white
5 red + 7 blue= 12
5 red + 7 blue + 8 white= 20
=12/20
=6/10
<h2><u><em>
=3/5</em></u></h2>
Use the left and right triangles. (the two smaller ones -- ACD and BCD)
By similar triangles ACD is similar to BCD
on the left AD/CD is one ratio
On the right CD/DB is the other. These two ratios are equal because they are corresponding parts.
AD / CD = CD / DB
AD = 3
DB = 12
CD = ??
Substitute.
3/CD = CD/12 Cross multiply
36 = CD^2
sqrt(36) = sqrt(CD^2)
CD = 6 <<<<==== Answer.
A <<<<====Answer.
Answer:
45 miles.
Step-by-step explanation:
Given that the:
Total distance covered = 390 miles
Total time = 8 hours
Let the distance covered along the local way = L
And the distance covered along the highway = H
Along with local way,
Speed = distance/ time
20 = L / T
T = L /20 .... (1)
Along the highway,
Distance covered H = 390 - L
Let the time = t
Speed = distance/time
60 = (390 - L)/t
t = ( 390 - L)/60
But total time = T + t
That is
8 = L/20 + (390 - L)/60
The LCM at right hand side will be 60
8 = ( 3L + 390 - L )/60
Cross multiply
480 = 2L + 390
Collect the like terms
2L = 480 - 390
2L = 90
L = 90/2
L = 45 miles.
Therefore, the distance Minato drive along local roads is 45 miles
Answer:
Option (a) 45.31
Step-by-step explanation:
Data provided in the question:
Standard deviation, σ = 0.08 mm
Sample size, n = 30
standard deviation of 30 samples, s = 0.10
Now,
σ² = (0.08)² = 0.0064
s² = (0.10)² = 0.01
Test Statistic = [ ( n - 1) × s²] ÷ σ²
or
Test Statistic = [ (30 - 1 ) × 0.01 ] ÷ 0.0064
= ( 29 × 0.01 ) ÷ 0.0064
= 45.31
Hence,
Option (a) 45.31
