Answer:
Step-by-step explanation:
The answer is
72% of his earnings is $18x 72 / 100 = $12.96
Tyrone works 40 hours per week
in one month
he works 40*4=160 hours
so 1 hour is for $12.96 net
160 hours for x=?
x=$2073.6
his total monthly cash inflow is $2073.6 - $1,800=$273.6
Answer: x ~34.31 (rounded)
Since the jet bomber arrived over its Target at the same time as its fighter jet escorted, it took the jet bomber 0.34 h to reach the target.
<h3 />
To find the number of hours, we need to solve simultaneous equations.
<h3>
What are simultaneous equations?</h3>
Simultaneous equations are pair of equations which contain two unknowns.
<h3>How to calculate the number of hours the bomber jet took off?</h3>
Let
- D = distance travelled by both bomber jet and fighter jet.
- t = time bomber jet took off
- v = speed of bomber jet.
- T = time fighter jet took off and
- V = speed of fighter jet.
So, D = vt
D = 500t (1)
Also, D = VT
D = 60T (2)
Since jet bomber traveling 500 mph arrived over its Target at the same time as its fighter jet escorted which left the same fate 2.5 hours after the bomb took off.
T = t + 2.5
So, D = 60(t + 2.5) (3)
<h3>
The required simultaneous equations</h3>
D = 500t (1)
D = 60(t + 2.5) (3)
Equating equations (1) and (3), we have
500t = 60(t + 2.5)
500t = 60t + 150
500t - 60t = 150
440t = 150
t = 150/440
t = 15/44
t = 0.34 h
So, it took the jet bomber 0.34 hours to reach the target.
Learn more about simultaneous equations here:
brainly.com/question/27829171
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Answer:
90 Confidence Interval for the proportion = [ 0.216,0.334]
Step-by-step explanation:
The confidence interval for proportion formula =
p ± z × √p(1 - p)/n
Where p = x/n
x = 42
n = number of samples = 153
p = 42/153
p = 0.2745098039 ≈ 0.275
z = z score of 90% confidence interval = 1.645
Confidence interval =
0.275 ± 1.645 × √0.275 - ( 1 - 0.275)/153
= 0.275 ± 1.645 × √0.0013031046
= 0.275 ± 0.0593820985
Confidence Interval
= 0.275 - 0.0593820985
= 0.2156179015
≈ 0.216
= 0.275 + 0.0593820985
= 0.3343820985
≈ 0.334
90 Confidence Interval for the proportion = [ 0.216,0.334]
