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Vladimir79 [104]
3 years ago
8

How do you solve 10 squared + 13 squared = c squared (Pythagorean theorem)

Mathematics
1 answer:
alina1380 [7]3 years ago
5 0
10^2 + 13^2 =c^2\\\\100 + 169=c^2\\\\269 = c^2\\\\\boxed{\bf{c=\sqrt{269}\approx 16.4}}
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How many 3/4 foot pieces of string can be cut from a piece of string 4 1/2 feet long
Gnom [1K]
3/4 foot is 9 inches, and 4 1/2 feet is 54 inches, so, 54/9 makes exactly 6 pieces of string. 
8 0
3 years ago
A travelling salesman sells milkshake mixing machines and on average sells 8.9 machines per month. He needs to sell at least 3 m
Goshia [24]

Answer:

0.67% probability he will have to shut down after this month

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

On average sells 8.9 machines per month.

So \mu = 8.9

Using the Poisson distribution, what is the probability he will have to shut down after this month

If he sells less than 3 machines.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-8.9}*8.9^{0}}{(0)!} = 0.0001

P(X = 1) = \frac{e^{-8.9}*8.9^{1}}{(1)!} = 0.0012

P(X = 2) = \frac{e^{-8.9}*8.9^{2}}{(2)!} = 0.0054

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0001 + 0.0012 + 0.0054 = 0.0067

0.67% probability he will have to shut down after this month

5 0
3 years ago
TRUE OR FALSE?<br> -7 = (-5) - (-12)
gizmo_the_mogwai [7]

Answer:

false

Step-by-step explanation:

-7=(-5)-(-12)

-7=-5+12    

-7=7 is not true

5 0
3 years ago
Read 2 more answers
What’s this equation? 50 + 6x + 1 – 22x
Serga [27]
In simplified form, the answer would be -16x+51
6 0
3 years ago
The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is
katen-ka-za [31]
The expression that represents the volume would be: <span>C) 6x^3+39x^2+54x</span>

Proof of the calculation:

V = Lwh

V = (x+2) (3x)  (2x+9)

V= (3x^2 + 6x) (2x + 9)

V = (6x^3 + 27X^2 +12x^2 + 54x)

V = 6x^3 + 39x^2 + 54x
4 0
3 years ago
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