Nicolas is setting up water stations for a 10-mile run. He already has the first one set up 8 miles from the starting line. He n
eeds to set up two more that are 1.5 miles on either side of the first water station. Where will he put the two additional water stations?
A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.
The absolute value equation that models this situation is |x –
|=
.
The two additional water stations will be
and
miles from the starting line.
A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.
The absolute value equation that models this situation is |x –
|=
.
The two additional water stations will be
and
miles from the starting line.
2 answers:
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Given:
To find:
The highest and lowest scores Sam could have made in the tournament.
Solution:
We have,
It can be written as
Add 288 on both sides.
and
and
Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.
Answer:
a. What is the probability that the cost will be more than $450?
We are supposed to find P(x > 450)
Formula :
Refer the z table :
P(z<0.9431)=0.8264
P(z> 0.9431)=1-P(z<0.9431)=1- 0.8264= 0.1736
Hence the probability that the cost will be more than $450 is 0.1736
b)What is the probability that the cost will be less than $250?
We are supposed to find P(x<250)
Formula :
Refer the z table :
P(z<-1.3295)=0.0934
Hence the probability that the cost will be less than $250 is 0.0934
c)What is the probability that the cost will be between $250 and $450?
P(250<z<450)=P(z<450)-P(z<250) = 0.8264 - 0.0934 =0.733
Hence the probability that the cost will be between $250 and $450 is 0.733
d) If the cost for your car repair is in the lower 5% of automobile repair charges, what is your cost?
p = 0.05
refer the z table
z = -1.65
Formula :
Hence If the cost for your car repair is in the lower 5% of automobile repair charges, so, cost is $221.8