<h2><u>Answer</u><u> </u><u>:</u></h2>
We'll be using the Pythagoras property to solve this question.
According to the Pythagoras property,
H denotes hypotenuse
B denotes base
P denotes perpendicular
Here,
→ (x)² = (35 cm)² + (12 cm)²
→ x² = 1225 cm² + 144 cm²
→ x² = 1369 cm²
→ x = √(1369 cm²)
→ x = 37 cm
<u>Therefore</u><u>,</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>3</u><u>7</u><u> </u><u>cm</u><u>.</u><u> </u>
Answer:
Step-by-step explanation:

Write the equation in factored form.

Separate equations, and set each factor to zero.


Rearrange and isolate the variable to find the solutions


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Answer:
The standard deviation of the number of runs required is 2447.26
Step-by-step explanation:
For each run, there are only two possible outcomes. Either the program fails, or it does not. The probability of the computer failing during a run is independent of other runs. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The standard deviation for the expected number of trials for r sucesses is:

A computer program has a bug that causes it to fail once in every thousand runs, on average.
This means that 
In an effort to find the bug, independent runs of the program will be made until the program has failed six times. What is the standard deviation of the number of runs required?
This means that r = 6. So

The standard deviation of the number of runs required is 2447.26
Answer:
a_n = 2.2 + 0.6 n
a_50 = 32.2
Step-by-step explanation:
What's the common difference of this series?


Common difference =
.
Expression for the nth term:

n = 50 for the fiftieth term. Therefore
.