Answer:
Both fireworks will explode after 1 seconds after firework b launches.
Step-by-step explanation:
Given:
Speed of fire work A= 300 ft/s
Speed of Firework B=240 ft/s
Time before which fire work b is launched =0.25s
To Find:
How many seconds after firework b launches will both fireworks explode=?
Solution:
Let t be the time(seconds) after which both the fireworks explode.
By the time the firework a has been launched, Firework B has been launch 0.25 s, So we can treat them as two separate equation
Firework A= 330(t)
Firework B=240(t)+240(0.25)
Since we need to know the same time after which they explode, we can equate both the equations
330(t) = 240(t)+240(0.25)
300(t)= 240(t)+60
300(t)-240(t)= 60
60(t)=60
t=1
Answer:
0.5
Step-by-step explanation:
The decimal 0.25 represents the fraction 25/100. Decimal fractions always have a denominator based on a power of 10. We know that 5/10 is equivalent to 1/2 since 1/2 times 5/5 is 5/10. Therefore, the decimal 0.5 is equivalent to 1/2 or 2/4, etc.
Answer:
10.
x P(X)
0 0.238
1 0.438
2 0.269
3 0.055
11.
0.707
There is 70.7% chance that at least one but at most two adults in the sample believes in the ghost
12.
1.14≅1
There will be one adult out of three we expect to believe in the ghost
Step-by-step explanation:
The probability distribution is constructed using binomial distribution.
We have to construct the probability distribution of the number adults believe in ghosts out of three adults. so,
x=0,1,2,3
n=3
p=probability of adults believe in ghosts=0.38
The binomial distribution formula
nCxp^xq^n-x=3cx0.38^x0.62^3-x
is computed for x=0,1,2,3 and the results depicts the probability distribution of the number adults believe in ghosts out of three adults.
x P(X)
0 0.238
1 0.438
2 0.269
3 0.055
11.
P(at least one but at most two adults in the sample believes in the ghost )= P(x=1)+P(x=2)=0.437+0.269=0.707
P(at least one but at most two adults in the sample believes in the ghost )=70.7%
12. E(x)=n*p
here n=3 adults and p=0.38
E(x)=3*0.38=1.14
so we expect one adult out of three will believe in the ghosts.
Answer:
$2,100
Step-by-step explanation:
In two weeks there is 14 days so, I times 150 by 14 which is 2100.
