Answer:
Step-by-step explanation:
Hello
<u>Let's note the original speed of the car v</u>
it means that in 1 hour he is going v miles
so to go 200 miles it takes ( in hour)
If the speed of the car is v+5 than to go 200 miles it takes (in hour)
and this time is one hour less so we can write
We can multiply by v(v+5) both parts of the equation so
Only one is positive and this is is
So the original speed is 29.22144... mph
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
p = 0.38, n = 20
The probability that he throws more than 10 strikes = 0.09233
Step-by-step explanation:
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of times Jack wants to bowl = 20
x = Number of successes required = number of strikes he intends to get
p = probability of success = probability that Jack throws a strike = 0.38
q = probability of failure = probability that Jack doesn't throw a strike = 0.62
P(X > x) = Σ ⁿCₓ pˣ qⁿ⁻ˣ (summing from x+1 to n)
P(X > 10) = Σ ²⁰Cₓ pˣ qⁿ⁻ˣ (summing from 11 to 20)
P(X > 10) = [P(X=11) + P(X=12) + P(X=13) + P(X=14) + P(X=15) + P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20)
P(X > 10) = 0.09233
There are binomial distribution cacalculators that can calculate all of this at once. Get one to minimize errors.
Answer:
The area of the figure is 143 sq in
Step-by-step explanation:
10 in * 7 in = 70 sq in
12 in * 4 in = 48 sq in
5 in * 5 in = 25 sq in
A = 70 sq in + 48 sq in + 25 sq in
A = 143 sq in
3(gameMachines) + 5(6) = 72lbs
3(gameMachines) = 42
gameMachine = 14
Answer:
Press A takes 10 hours to do a certain job. So Press A does (1/10)th of the job in an hour.
Press A and Press B, together do (1/2.5) or (4/10)th of the job in an hour.
So Press B does (4/10)-(1/10) = (3/10)th of the job in an hour. So Press B can do the job in (10/3) hours or 3 hour and 20 mins.
Check: A does (1/10)th and B does (3/10)th part of the job in an hour. A and B together will take (1/10)+(3/10) = 4/10th of the job in an hour. So they will complete the job in 10/4 = 2.5 hours. Correct.
Answer: Press B can do the job in 3 hour and 20 mins.
Step-by-step explanation:
