The ratio given is 4:5 so you do 5divided by 20 which is 4 and multiply 4 and 4 and get 16 so your ratio is 16:20
Answer:
t = 6/5
Step-by-step explanation:
Step 1: Define
k(t) = 10t - 19
k(t) = -7
Step 2: Substitute and Evaluate
-7 = 10t - 19
12 = 10t
t = 6/5
Answer:
A
Step-by-step explanation:
Calculation seems correct to me, with d the distance and h the height of the plane, and i got the same value. Closest value is A tho, so i'd stick with it.
If you want to be pedantic about it, you can always divide the heigth by each value, and get the inverse tangent of each value. With A you get 17.995 which seems the best value you get
Answer:
111.76 cm
Step-by-step explanation:
The formula for the perimeter of a triangle is given as:
Side A + Side B + Side C
Since our final answer is going to be in centimeters we have to convert the sides from inches to centimeters
Hence:
1 inch ~ 2.54 centimeters
For 12 inches
1 inch = 2.54 cm
12 inches = x
Cross Multiply
x = 12× 2.54 cm
x = 30.48 cm
For 14 inches
1 inch = 2.54 cm
14 inches = x
Cross Multiply
x = 14× 2.54 cm
x = 35.56 cm
For 18 inches
1 inch = 2.54 cm
18 inches = x
Cross Multiply
x = 18× 2.54 cm
x = 45.72 cm
Hence, the perimeter of the triangle
= 30.48 cm + 35.56 cm + 45.72 cm
= 111.76 cm
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:
