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3 years ago

Solve 4r2 – 7 = 29. a. +-6 b. +-3 c. +-4 d. +-5

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

4 0

4r^2-7=29
+7 both sides
4r^2=36
÷4 both sides
r^2=9
square root both sides
r=+/-3 B

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3 years ago

Any math experts please factor this thank you have a blessed day

fredd [130]

Answer:

-(x-8)*(x+7)

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According to geologists, the San Francisco Bay Area experiences five earthquakes with a magnitude of 6.5 or greater every 100 ye

sveta [45]

Answer:

13.53% probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years

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.

According to geologists, the San Francisco Bay Area experiences five earthquakes with a magnitude of 6.5 or greater every 100 years.

One earthquake each 100/5 = 20 years.

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40 years, so $\mu = 40/20 = 2$

This probability is P(X = 0).

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

$P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353$

13.53% probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years

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3 years ago

How to solve this???<br> e^(2x) - e^x = 6

Ray Of Light [21]

$e^{2x}-e^x=6$
$(e^x)^2-e^x-6=0$
$(e^x-3)(e^x+2)=0$

$e^x=3$
$e^x=-2$

therefore $x=\ln3$ and $x=\ln-2$
because $\ln-2$ doesn't exist, the only solution to your equation is $x=\ln3$

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3 years ago