Answer:
8 inches
Step-by-step explanation:
Use a Ratio:
12 inches : 1 1/2 hours
? inches : 1 hours
12/1.5 = x/1
8 = x/1
x = 8 * 1
x = 8 inches
Answer: The boat moved 768.51 feet in that time .
Step-by-step explanation:
Since we have given that
Height of the lighthouse = 1000 feet
Angle depression to boat 'a' = 29°
Angle of depression to shore 'b' = 44°
Consider ΔABC,

Now, Consider, ΔABD,

We need to find the distance that the boat moved in that time i.e. BC
so,

Hence, the boat moved 768.51 feet in that time .
30 divided by 12 equals 2.5 so it should equal 2.5%
Answer:
z = -0.57
Step-by-step explanation:
A z-score indicates how much away is something from the mean so it can be more(above) than the mean or less(below) than the mean.
sampling distribution mean = 0.03
standard error = 0.007
researcher's sample mean = 0.026
z = (0.026 - 0.03)/0.007
z = (-0.004)/0.007
z = -0.57
So that means the researcher's sample mean is 0.57 standard deviation below the sampling distribution mean.
The negative sign above is the indicator of below the mean value.
Answer:
The standard error increases and the width of the interval increases
Step-by-step explanation:
The variance is equal to the square of the standard deviation. An increase in variance will increase the standard deviation.
The width of the confidence interval can be defined as:

The width is proportional to the standard deviation, so when the variance increases, the standard deviation and also the width of the interval increases.