Answer:
a) 8*88*10⁻⁶ ( 0.00088 %)
b) 0.2137 (21.37%)
Step-by-step explanation:
if the test contains 25 questions and each questions is independent of the others, then the random variable X= answer "x" questions correctly , has a binomial probability distribution. Then
P(X=x)= n!/((n-x)!*x!)*p^x*(1-p)^(n-x)
where
n= total number of questions= 25
p= probability of getting a question right = 1/4
then
a) P(x=n) = p^n = (1/4)²⁵ = 8*88*10⁻⁶ ( 0.00088 %)
b) P(x<5)= F(5)
where F(x) is the cumulative binomial probability distribution- Then from tables
P(x<5)= F(5)= 0.2137 (21.37%)
Answer:
2*2*9+4*12*3=36+144=180
Step-by-step explanation:
Answer:
∠VUW
Step-by-step explanation:
A triangle is a three sided polygon with three angles. Types of triangles are obtuse, scalene, isosceles, equilateral and so on.
In triangle VUW, since VU = WU, hence it is an isosceles triangle. In an isosceles triangle, two sides of the triangle are equal.
The size of an angle depends on its opposite side, the higher the opposite side the higher the angle. Since In triangle VUW, VU = 9, WU = 9, VW = 5. Since VW is the smallest side, the angle opposite to VW is the smallest angle.
Hence the smallest angle = ∠VUW
Answer:
$9600.72
Step-by-step explanation:
Area of the field = length × width
Length = 1,021 feet
Width= 725 feet
Area of the field = length × width
= 1,021 feet × 725 feet
= 740,225 square feet
One bag covers 1000 square feet
There are 740,225 square feet
Find the number of bags that will cover the total of 740,225 square feet
Total bags = 740,225 / 10000
=740.225 bags
A bag cost $12.97
Total cost of 740.225 bags= 740.225 × 12.97
= $9600. 71825
Approximately
$9600.72
Answer:
The expression (2 x 3) + 13 - 1 on simplifying gives 18.
Step-by-step explanation:
Here, the outcome of the expression is 18.
Using at least three operations.
Here, we use three operations Addition = '+' , Subtraction = '-' and
Multiplication = 'X'
Take the number 2 and multiply it with other number 3.
We get 2 x 3 = 6
Take the product, add it with another number 13
So, 6+ 13= 19
Take the resultant and subtract 1 from it.
We get 19 - 1 = 18
⇒The combined expression is (2 x 3) + 13 - 1 = 18
The above expression on simplifying gives 18.
