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3 years ago

What is the value of x?

Mathematics

1 answer:

Drupady [299]3 years ago

3 0

I think we have to use Pythagorean Therom here
a² + b² = c²
First we need to know the height of the Triangle (which is YT)
Let "b" be the height YT:
22² + b² = 77²
484 + b² = 5929
b² = 5929 - 484 = 5445
√b² = √(5445)
b = √5445 = 73.79ft
Now that we have the height lets find the missing base(YK):
We are going to use the same formula, but this time to find the base and with a different triangle.
a² + 73.79² = 87.5²
a² + 5444.96 = 7656.25
a² = 7656.25 - 5444.96
a² = 2211.29
√a² = √(2211.29)
a = √2211.29 = 47.02
Now we can add the bases together to find x.
Bases "VY" and "YK"
x = 22+47
x = 69

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2 years ago

What is the value of x 4x-1+2x-9=152

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

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Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

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step 2

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3 years ago

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Answer:

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b) $P(X\geq 10) = 1-P(X \leq 9) = 0.9994$

c) $P(X \leq 16)= 1-P(X>16) =1-P(X \geq 17)= 1- [P(X=17) +...+P(X=20)]=0.589$

d) $E(X)= np = 20 *0.8 = 16$

$Var(X) = np(1-p) = 20*0.8*(1-0.8) = 3.2$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=20, p=1-0.2=0.8)$