Mclane is playing a game where you get 5 points for correct answers and lose 3 points for incorrect answers. If he gets 6 questi
1 answer:
You might be interested in
Answer:
The probability that there will be a total of 7 defects on four units is 0.14.
Step-by-step explanation:
A Poisson distribution describes the probability distribution of number of success in a specified time interval.
The probability distribution function for a Poisson distribution is:
Let <em>X</em> = number of defects in a unit produced.
It is provided that there are, on average, 2 defects per unit produced.
Then in 4 units the number of defects is, .
Compute the probability of exactly 7 defects in 4 units as follows:
Thus, the probability of exactly 7 defects in 4 units is 0.14.
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
Answer:
9 in approx
Step-by-step explanation:
Step one:
given data
the shape of the satellite dish takes the form of a paraboloid.
the diameter of the dish is 38in wide
and 10 inches deep.
step two:
The expression for the paraboloid is
where y is the vertical axis of the paraboloid
a is vertex to focus.
and x is the radius of the dish
x= 38/2= 19in
substituting we have
divide both sides by 40
vertex to focus= 9 in approx