| 10x + 10 | – 2 = 78
1 answer:
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Answer:
a) Normal Distribution
b) 0.146
c) 0.070
Step-by-step explanation:
We are given the following information in the question:
The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4
a) : mean number of accidents per week at the intersection during a year (52 weeks)
According to central limit theorem, as the sample size becomes larger, the distribution of mean approaches a normal distribution.
Since we have a large sample, the approximate distribution of is a normal distribution with
b) P(mean is less than 2)
Formula:
P(x > 610)
Calculation the value from standard normal z table, we have,
c) P(fewer than 100 accidents at the intersection in a year)
P(x < 100)
Calculation the value from standard normal z table, we have,
Answer:
Area = 74.1 square units
Step-by-step explanation:
Area of the composite figure = Area of the rectangle + Area of the semicircle
Area o the rectangle = Length × Width
= 10 × 6
= 60 square units
Area of the semicircle =
Here, r = radius of the semicircle
For the semicircle with radius = = 3 units
Area =
= 4.5π
= 14.14 units²
Total area of the composite figure = 60 + 14.14
= 74.14 square units ≈ 74.1 square units
y = 3 x equation represents a proportional relationship.
Answer: Option B
<u>Step-by-step explanation:</u>
A proportional variation represents a relationship between two variables x and y. It can be expressed in the form y=k x. Here, the ‘k’, the proportionality constant is equal to the slope m and the line goes through the origin
case A)
A linear equation that not passes through the origin and so not proportional variation
case B) y= 3 x
Is a linear equation but passes through the origin and so proportional variation
case C) y = - 3x+2
A linear equation that not passes through the origin and so not proportional variation
case D)
An inverse variation equation but not passes through the origin and so not proportional variation.
From these, equation option B is the proportion equation because in these equations, there is no addition and subtraction of any constant number. That’s why both these equations become proportional equations.