I hope this helps you
Gracy was running errands around her neighborhood. First she went to the doctors but they were closed. She then drove to her hou
se stopping to grab her library books. She went to the library to drop them off then headed to the grocery story passing her house on the way.
In total, how far would Gracy have traveled once she returned home from the grocery store?
9miles
3 miles
18 miles
6 miles
In total, how far would Gracy have traveled once she returned home from the grocery store?
9miles
3 miles
18 miles
6 miles
2 answers:
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Time taken by jerry alone is 10.1 hours
Time taken by callie alone is 8.1 hours
<u>Solution:</u>
Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can
Let the time taken by Terry be "a" hours
So, the time taken by Callie will be (a-2) hours
Hence, the efficiency of Callie and Terry per hour is
If they work together they can do the entire prospectus in five hours
On cross-multiplication we get,
On cross multiplication ,we get
<em><u>using quadratic formula:-</u></em>
If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value
Let us take a = 10.1
So time taken by jerry alone = a = 10.1 hours
Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours
<h3>Given :-</h3>
- x=y-1
- x+2y=8
- Value of x
- Value of y
Let say it is first equation:-
x=y-1. . . . (1)
and this is second equation:-
x+2y=8 . . . . (2)
Simplifying 1 equation:-
- x = y - 1
- x +1 = y
- y = x + 1
Put this value of y in second equation.
to find value of y :-
y = x + 1
y = 2 + 1
y = 3
verification:-
1 equation:-
x = y - 1
put value of x and y
2 = 3 - 1
2 = 2
LHS = RHS
Hence verified!
2 equation:-
- x+2y=8
put value of x and y
- 2 + 2 × 3 = 8
- 2 + 6 = 8
- 8 = 8
LHS = RHS
Hence verified!
Both equation verified!
.°. value of x and y is 2 and 3 respectively
Answer:
a) 0.1091
b) 0.9994
c) 0.5886
Step-by-step explanation:
X = the number of fish out of 20 that die after 24 hours
x = 0, 1, 2, . . . , 20
X~ Binomial (n= 20, p =0.20)
P(14 survive) = P(X = 6)
= =0.1091
Similarly we can find out
P(at least 10 survive) = P( X <= 10 ) = (Using technology) = 0.9994
P(at most 16 will survive) = P(X <= 16) = (Using technology) = 0.5886