Number lines are used to represent points at regular interval.
The coordinate of point T on the number line is: 46.5
Given that:


The coordinate of X at the midpoint is:

So, we have:



Point T is at 2/3 from X to B.
The coordinate of T is calculated using:

So, we have:




<em>Hence, T is located at 46.5</em>
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Answer:
The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:
Sample of 421 new car buyers, 75 preferred foreign cars. So 
85% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).
Answer:
219.9 feet to the nearest tenth.
Step-by-step explanation:
Use trigonometry:
tan 35 = opposite / adjacent side
= 154/x
x = 154 / tan35
= 219.93
Answer:
Claire = 30 stickers
Josh = 60 stickers
Ann = 67 stickers
Step-by-step explanation:
Let
Claire stickers= x
Josh = 2x
Ann= 2x + 7
Total stickers = 157
Total stickers = Claire stickers + Josh stickers + Ann stickers
157 = x + (2x) + (2x+7)
157 = x + 2x + 2x + 7
157 = 5x + 7
Subtract 7 from both sides
157 - 7 = 5x + 7 - 7
150 = 5x
Divide both sides by 5
150/5 = x
30 = x
x = 30
Claire stickers= x
=30 stickers
Josh = 2x
= 2(30)
= 60 stickers
Ann= 2x + 7
= 2(30) + 7
= 60 + 7
= 67 stickers
Claire = 30 stickers
Josh = 60 stickers
Ann = 67 stickers
The answer:
<span>the average rate of change for the first 50 seconds:
it is v= 100 m/ 50 s = 2 m/s
</span><span>Thomas speed is 2 m in each second for the first 50 seconds.
</span><span>The average rate of change for the 70 remaining seconds:
the time is between [70; 120]
so the distance is d= 200m - 40m= 160m
the average rate is
v= 160m / 70 s = 2 . 28m /s
</span>