Answer:
18.85
Step-by-step explanation:
X 47 -582
p(x) ? 0.06
Complete the table and calculate the expected profit for the company. In other words, find the expected value of X.
Answer: See explanation!
Step-by-step explanation:
To complete the table, we need to calculate the probability of the item not breaking. Since the proportion of items that break is 0.06, the proportion of items that do not break is 1 - 0.06 = 0.94.
Now we can fill in the table:
X | -582 | 47
p(x) | 0.06 | 0.94
To calculate the expected profit for the company, we multiply each outcome by its corresponding probability and sum the results:
Expected profit = (-582) * 0.06 + 47 * 0.94
Calculating this expression, we find that the expected profit for the company is approximately $3.92.
Therefore, the expected value of X, the random variable representing the profit for the company, is $3.92.
Step-by-step explanation:
What does the number 0.7 represent?
The ball bounces to 30% of its previous height with each bounce.
The height at which the ball bounces at the nth bounce is 0.3 feet.
The ball bounces to 70% of its previous height with each bounce.
The height from which the ball was dropped at the nth bounce is 0.7 feet.
Answer:
The ball bounces to 70% of its previous height with each bounce.
Step-by-step explanation:
In physics terminology, the number 0.7 is the coefficient of restitution. It is the ratio of the height of bounce (n+1) to the height of bounce (n).
The meaning of the number is that the ball bounces to 70% of the height of the previous bounce.
Answer:
The ball bounces to 70% of its previous height with each bounce.
Step-by-step explanation:
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce:
f(n) = 9(0.7)n
The number 0.7 represents that the ball bounces to 70% of its previous height with each bounce.
y= x^2-2x-1
vertex (?,?)
The height of the demonstration calculator is 504 millimeters.
To find the height of the demonstration calculator, we can use the ratio of the key widths between the student calculators and the demonstration calculator.
Let's first convert all measurements to the same unit for consistency. Since we need to find the height of the demonstration calculator, let's convert the width of the keys on the demonstration calculator to millimeters, which is the unit used for the height of the student calculator.
1 centimeter (cm) = 10 millimeters (mm)
Width of the key on the demonstration calculator =
= 2.8 cm x 10 mm/cm
= 28 mm
Now, we know the width of each key on the demonstration calculator is 28 millimeters.
We can use this information to find the height of the demonstration calculator.
The ratio of the width of the keys on the demonstration calculator to the width of the keys on the student calculator is:
= 28 mm (demonstration calculator) / 14 mm (student calculator)
Now, let's set up a proportion to find the height of the demonstration calculator (Hd):
Hd (demonstration calculator) / 252 mm (student calculator)
= 28 mm (demonstration calculator) / 14 mm (student calculator)
Hd / 252 = 28 / 14
Hd / 252 = 2
Hd = 2 x 252
Hd = 504 millimeters
So, the height of the demonstration calculator is 504 millimeters.
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The height of the large demonstration calculator is 50.4 cm, determined by converting measurements to the same units and using the scale factor between the student and demonstration calculators.
The question involves scale factor and unit conversion in mathematics. The scale factor between the student calculator buttons and the large demonstration calculator buttons is 2.8 cm (button size of large calculator) divided by 1.4 cm (button size of student calculator, which equates to 14 mm). Therefore, the scale factor is 2.
To find the height of the large calculator, we multiple the height of the student's calculator (252 mm or 25.2 cm) by the scale factor 2. Therefore, the height of the large demonstration calculator is 50.4 cm.
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Answer:
The first one with the sequence 0.25,1,4,16
Answer:
the first one
Step-by-step explanation: