Answer:
Step-by-step explanation:
Researchers measured the data speeds for a particular smartphone carrier at 50 airports.
The highest speed measured was 76.6 Mbps.
n= 50
X[bar]= 17.95
S= 23.39
a. What is the difference between the carrier's highest data speed and the mean of all 50 data speeds?
If the highest speed is 76.6 and the sample mean is 17.95, the difference is 76.6-17.95= 58.65 Mbps
b. How many standard deviations is that [the difference found in part (a)]?
To know how many standard deviations is the max value apart from the sample mean, you have to divide the difference between those two values by the standard deviation
Dif/S= 58.65/23.39= 2.507 ≅ 2.51 Standard deviations
c. Convert the carrier's highest data speed to a z score.
The value is X= 76.6
Using the formula Z= (X - μ)/ δ= (76.6 - 17.95)/ 23.39= 2.51
d. If we consider data speeds that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
The Z value corresponding to the highest data speed is 2.51, considerin that is greater than 2 you can assume that it is significant.
I hope it helps!
Answer:
just do 7 times 1/4 + the 12 thats your answer
Step-by-step explanation:
Answer:
After 6 months, Casey would pay $360 to join either gym.
Step-by-step explanation:
At the first gym, the cost is $35 per month in addition to a $150 joining fee. So, the equation based on 'x' number of months and a total cost of 'c' is:
c = 35x + 150
At the second gym, the cost is just $60 per month. So, the equation based on 'x' number of months and a total cost of 'c' is:
c = 60x
Since you want to find the number of months 'x' it would take until Casey would pay the same amount to be a member of either gym, you can take the two equations and set them equal to each other:
35x + 150 = 60x
Subtract 35x from both sides: 35x - 35x + 150 = 60x - 35x or 150 = 25x
Divide both sides by 25: 150/25 = 25x/25 or x = 6
So, after 6 months, the cost would be same. The find the cost, replace 'x' with 6 in one of the equations: c = 60(6) = $360.
Given.
Radius of the Half sphere is 3 inches.
From the figure;
Radius of half sphere= Radius of cylinder= Radius of cone=3inches
Height of cone= 4inches.
Height of cylinder=6inches.
Volume of cone=(πr²h)/3
=(π3²×4)/3
=(12π) inch³
volume of cylinder= πr²h=π3²6=54π inch³
Volume of half sphere= (4/3) π r³=π(4×3³)/3 (1/2)=π×4×9/2=18π inch³
Total area of Composite figure=(12π +54π +18π) inch³
=84π inch³
=(84)× 22/7inch³
=12×22 inch³
=264inch³
Hope it helps...
Regards;
Leukonov/Olegion.
Answer:
Step-by-step explanation:
Find the magnitude of the complex number
Notice the magnitude is equal to
where a is the real number and b is the imaginary number.
Substitute
Multiply this by -5
