A bag contains green tokens and black tokens. There are 36 green tokens in the bag. The ratio of green tokens to black tokens is
2 answers:
Answer:
48
Step-by-step explanation:
We are given that
Total number of green tokens in the bag=36
Ratio of green tokens to black tokens=3:4
We have to find the number of black tokens in the bag.
Let x be the number of black tokens in the bag.
According to question
By cross multiply , then we get
By division property of equality
Hence, the number of blacken tokens in the bag=48
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The surface area of the geometric shape is B. 840 cm².
Step-by-step explanation:
Step 1:
The given figure is made up of three rectangles and two triangles.
The surface area of the geometric shape is given by summing the individual surface areas.
The geometric shape's surface area = The sum of the individual surface areas.
Step 2:
The surface area of the rectangles is the multiplication of its length and width.
The surface area of the rectangle with length z and width x .
The surface area of the rectangle with length y and width x .
The surface area of the rectangle with length x and width x .
Step 3:
The area of a triangle is half the product of its base length and height.
The surface area of a triangle with base y and height x.
They are two similar triangles so their areas are equal
Step 4:
The geometric shape's surface area .
So the surface area is option B. 840 cm².
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: