The area of the flag that Joe created is 216 cm²
Step-by-step explanation:
Joe created triangular shaped flag for his history project
- The height of the flag was 16 cm
- The base of the flag was 27 cm
∵ The flag is shaped a triangle
∵ Area of a triangle =
× base × height
∵ The base of the flag = 27 cm
∵ The height of the flag = 16 cm
- Substitute these values in the rule of the area above
∴ The area of the flag =
× 27 × 16
∴ The area of the flag = 216 cm²
The area of the flag that Joe created is 216 cm²
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Answer:
E(x)=0.15
V(x)=0.3075
S(x)=0.5545
Step-by-step explanation:
The mean of a discrete variable is calculated as:

where
are the values that the variable can take and
are their respective probabilities.
So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.
At the same way, the variance V(x) is calculated as:

Where 
So, the variance V(x) is equal to:

Finally, the standard deviation is calculated as:

Answer:
there was a tax of 8%.
there was a tip of 18%.
3 dollars
Step-by-step explanation:
what is 8% of $37.50?
To find the percent of something, first you need to put the percent as a decimal.
8% in decimal form is 0.08 (If you think about it they're both 8 hundredths)
just multiply the percent in decimal form by the number.
37.50 dollars × 0.08 = 3 dollars.