we are given that
two triangles are similar
so, the ratio of their sides must be same
we get

now, we can solve for x
step-1: Cross multiply both sides

step-2: Simplify left side

step-3: Subtract both sides by 2x


step-4: Divide both sides by 4

so,
............Answer
Answer:
123414
Step-by-step explanation:
12
213
213
32
Answer:
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Step-by-step explanation:
Consider the provided information,
Let X is the number of defective bulbs.
Ten light bulbs are randomly selected.
The likelihood that a light bulb is defective is 5%.
Therefore sample size is = n = 10
Probability of a defective bulb = p = 0.05.
Therefore, q = 1 - p = 1 - 0.05 = 0.95
Mean of binomial random variable: 
Therefore, 
Variance of binomial random variable: 
Therefore, 
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Well pie is 3.14 etc.
And the way to find that out is by:
~Using the formula.
~To find out what the circumference is you have to use this formula<span>
C= π*d =2*π*r
</span>~Pi<span> equals a circle's circumference divided by its diameter.
</span>~If you plug in the numbers in a calculator the numbers should be 3.14.
To solve, we use the volume of a square pyramid formula which is expressed as the product of the area of the base (a²) and the height divided by three(h/3).
Volume = a² (h/3)
1024 in³ = (a²) (12 in/3)
a² = 1024 in³ · 3 /12
a = √256 in²
a = 16 in
Thus, the length of the base is 16 in.