Well, the quotient must be bigger/smaller
lets say the numbers are x and y
x>y
so
x-y=30 and x/y=6
multiply both sides by y in 2nd equation
x=6y
subsitute 6y for x in other equation
6y-y=30
5y=30
divide by 5
y=6
sub back
x=6y
x=6(6)
x=36
the numbers are 36 and 6
but they could also be -36 and -6 because -36/-6=6 and -6-(-36)=30
the 2 numbers are 36 and 6 or -36 and -6
Answer:
18 minutes
Step-by-step explanation:
A = A₀ (½)^(t / T)
where A is the final amount,
A₀ is the initial amount,
t is the time,
and T is the half life.
A = 140 when t = 10. Solve for the half life:
140 = 700 (½)^(10 / T)
0.2 = ½^(10 / T)
log 0.2 = (10 / T) log 0.5
10 / T = 2.32
T = 4.31
When A = 40, t is:
40 = 700 (½)^(t / 4.31)
0.057 = ½^(t / 4.31)
log 0.057 = (t / 4.31) log 0.5
t / 4.31 = 4.13
t = 17.8
Rounded to the nearest whole number, it takes 18 minutes.
Answer:
Null, H0 : μ = 417
Alternative, H1 : μ ≠ 417
Step-by-step explanation:
Given that :
The mean grams by a bag filling machine μ = 417
Hence, the null hypothesis is That bag filling machine works correctly at 417 grams setting
The alternative hypothesis will negate the null ; In this question, the alternative hypothesis looks at the possibility of either overfill or underfill, which In straightforward terms means that the 417 g ram setting for the bag filling machine is incorrect.
Hence,
Null, H0 : μ = 417
Alternative, H1 : μ ≠ 417
Answer:
1 Spanish 90%
2.French 37%
3. Chinese 18%
Step-by-step explanation:
9/10 .......... 90/100 ........... 90%
37%.................. 37%
9/50............. 18/100 .......... 18%
Answer:
<h2>
cos (α + β) = 0.9196</h2>
Step-by-step explanation:
Given sin α = –4∕5 and sin β = 1∕2
To get α from sin α = –4∕5,
α = arcsin(-4/5)
α = arcsin (-0.8)
α = -53.13°
If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)
Similarly for sin β = 1∕2
β = arcsin(1/2)
β = arcsin(0.5)
β = 30°
Since β is in quadrant II, β = 180-30 = 150°
To find cos (α + β). where α = 233.13° and β = 30°
cos (α + β)= cos (233.13 + 150)
= cos 383.13°
cos (α + β) = 0.9196
