Answer:
AC = 24ft
Step by Step Explanation.
Given.
Rhombus.
BD = 24ft
AD = 15ft
Required
Length of AC
A rhombus has 4 equal sides; hence, the given shape will be regarded as a parallelogram and not rhombus (see attachment for diagram)
The opposite sides of a parallelogram are always of equal length
From the attached diagram (not drawn to scale), side AC opposites side BD
Given that BD = 24ft, then
AC = BD = 24ft.
Hence, AC = 24ft
Answer:
9:5 = 1428:x
ratios can also be written as fractions, so
9/5 = 1428/x
solve for x
9/5 × x = 1428
x = 1428 / (9/5)
x = 918
Answer:
0.0512
Step-by-step explanation:
We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.
The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x
In the above question,
x = 3
n = 5
p = probability for success = 0.2
q = probability for failures = 1 - 0.2 = 0.8
P(x) = (n!/(n - x) x!) × p^x × q ^n - x
P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3
P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²
P(3) = 10 × 0.008 × 0.64
P(3) = 0.0512
I believe the product of the equation is 439.43