Answer:
Tobias did best on the aptitude test.
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For Emilio
Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9.
z = (x-μ)/σ
z = 76 - 70.6/9
z = 0.6
For Alissa
Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24.
z = (x-μ)/σ
z = 298.8 - 282/24
z = 0.7
For Tobias
Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.
z = (x-μ)/σ
z = 8.04 - 7.2/0.4
z = 2.1
Looking at the calculated z score above, we can see that Tobias did better on his aptitude test because he had a higher z score compared to Emilio and Alissa.
x will be 67 because in each case the angles are alternate interior angle so we can prove x=67degree
The lateral area of the pyramid is 108.49 cm^2. The lateral surface area is the total of all of each side's area of a three-dimensional figure and it has a different method to calculate it. First, you must find the triangle's height by using the Pythagoras formula resulting 7.41 cm ( =squareroot(8^2-3^2)), thus, you can find the lateral area using the square and triangles area formula (108.49=(8*8) + 4*(0.5*3*7.41))<span>.</span>
Answer:
410 kilograms
Step-by-step explanation:
The mean is another way to say average.
Add the weights of all the polar bears together
3,280 kilograms total.
Then divide by the total number of bears
3,280 / 8 = 410
