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4 years ago

Which statement about the following system is correct?

Mathematics

1 answer:

grigory [225]4 years ago

8 0

D they do not intercect

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Why is it important for mathematicians to graph functions

suter [353]

<u>Answer</u>:-

Simply you can google see :

3 0

3 years ago

John who is 5 ft tall is standing 20 feet away from a tree, and you measure the angle of elevation to be 38∘. How tall is the tr

Amiraneli [1.4K]

Answer:

5√17=

20.6

Step-by-step explanation:

$adj \: = 5 \\ opp \: = 20 \\ hyp \: = \: \\ pythagoras \: theorem \: \: = \\ {hyp}^{2} = {opp}^{2} + {adj}^{2}$

${hyp \:}^{2} = {20}^{2} + {5}^{2} \\ {hyp }^{2} = 400 + 25 \\ {hyp}^{2} = 425 \\ \sqrt{ {hyp}^{2} } = \sqrt{425}$

$hypotenuse \: = 5 \sqrt{17}$

6 0

4 years ago

Assume a Poisson random variable has a mean of 5 successes over a 125-minute period.

goldenfox [79]

Answer:

$\mu = 25$

$\lambda =0.04$

$P(X > 65 ) =0.0742$

Step-by-step explanation:

From the question we are told that

The number of success is n = 5

The time duration is N = 125 minutes

Generally the mean of the random variable is mathematically represented as

$\mu = \frac{N}{n}$

=> $\mu = \frac{125}{5}$

=> $\mu = 25$

Generally the rate parameter is mathematically represented as

$\lambda = \frac{1}{\mu}$

=> $\lambda = \frac{1}{25}$

=> $\lambda =0.04$

Generally the cumulative distribution function for exponential distribution function is

$F(x) = \left \{0 \ \ \ \ \ \ x \le 0}} \atop {1 -e^{-\lambda t }\ x>0}} \right.$

Generally the probability that the time to success will be more than 63 minutes is mathematically represented as

$P(X > 65 ) = 1 - P(X \le 65)$

Here

$P(X \le 65) = 1 -e^{-65 * \lambda }$

=> $P(X \le 65) = 1 -e^{-65 * 0.04 }$

=> $P(X \le 65) = 0.92573$

$P(X > 65 ) = 1 - 0.92573$

$P(X > 65 ) =0.0742$

7 0

4 years ago

Find the value of x. *

Ludmilka [50]

Answer:

13x + 7 + 4x + 15 = 90

17x + 22 = 90

17x = 68

x = 4

4(4) + 15= 16 + 15= 31

13(4) + 7 = 52 + 7 = 59

Step-by-step explanation:

6 0

4 years ago

If r = 4 and a6 = 192, what is the first term of the sequence?

blagie [28]

Answer:

Answer: Option c. 0.1875 is the first term of the sequence.

Step-by-step explanation:

In this question sixth term of a sequence is given as A(6)= 192

Ratio of terms is given as 4

And we have to calculate the first term of the sequence.

As per formula A(n) = A(1)× $r^{n-1}$

A(6) = $A(1)(r)^{6-1}$

192 = $A(1)4^{5}$

A(1) = $\frac{192}{4^{5} }$

= 192/1024

=0.1875

So the first term of the sequence will be 0.1875

5 0

3 years ago