Answer:
Number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.
Step-by-step explanation:
We are given that one wants to estimate the mean PSLT for the population of all families in New York City with gross incomes in the range $35.000 to $40.000.
If sigma equals 2.0, we have to find that how many families should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5.
Here, we will use the concept of Margin of error as the statement "true mean PSLT within 0.5" represents the margin of error we want.
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<u>SO, Margin of error formula is given by;</u>
Margin of error = 
where, 
= significance level = 10%
= standard deviation = 2.0
n = number of families
Now, in the z table the critical value of x at 5% ( 
) level of significance is 1.645.
SO, Margin of error =
0.5 = 
n = 
= 43.3 ≈ 43
Therefore, number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.
Answer:
Option D. Slope is 1 if the line is vertical
Step-by-step explanation:
we have
Part A) Slope is a measure of the steepness of the line
The statement is true
Because, the steepness of a line is measured by the absolute value of the slope.
Part B) Slope is the ratio of vertical change to horizontal change
The statement is true
Because the formula to calculate the slope between two points is equal to
so
Is the ratio of vertical change to horizontal change
Part C) Slope is zero if the line is horizontal
The statement is true
Because If the line is horizontal, the y-coordinate of two points is the same
therefore
The vertical change is equal to zero
Part D) Slope is 1 if the line is vertical
The statement is Not true
Because, if the line is vertical the slope is undefined
29-11=18
18²+18²=p²
324+324=p²
p²=648
p=18√2
That's your answer.
Answer:
1st pic:
step 2.
2nd pic:
Rene should add, not multiply 2 volumes.
The correct answer is 48+216 =264
3rd pic:
a, for blue prism: V = Area of base x Height = 48 x a =720
=> a = 720/48 = 15
b, for orange prism: V = Area of base x Height = (12xb)/2 x 15 =720
=> b =(720x2)/(15x12)= 8
Answer:
Temperature on Tuesday morning is 
.
Step-by-step explanation:
Temperature is the measure in degrees how cold or hot a substance is. The three scale of measurements are: Celsius, Fahrenheit, and Kelvin.
In the given question, temperature on Monday morning is -14 degrees. Since it was given that the temperature on Tuesday morning is 4 degrees colder than that of Monday, then;
Temperature on Tuesday = -14 + (-4)
= -14 -4
= -18
Therefore, the temperature on Tuesday morning is .
