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3 years ago

Simplify.

Mathematics

1 answer:

meriva3 years ago

3 0

Answer:

Step-by-step explanation:

Put the square roots together

4*5 * sqrt(14z^2 * 21z^3)

4*5 * sqrt(2*7 * z^2 * 3*7 z^2 * z)

The rule is to remove the perfect square from under the square root sign, you take 1 member of the perfect square out of the root sign, and throw the other one away. If there are an odd number of factors under the root sign, leave one of them alone.

4*5 * 7 z * z sqrt(2 * 3 * z)

140 z^2 * sqrt(6z)

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Is (ab^2) equivalent to ab^2? Explain.

Zarrin [17]

Answer: yes it is equivalent!

Step-by-step explanation:

all you do is take away the parentheses and then it is the same exact thing!

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When I triple my number and add five i get 26. what is my number?

pentagon [3]

$x- number\\\\
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3 years ago

Mikey has $100 to spend on books. She wants to buy at least 14 books. Hardback books cost $15.00 and paperback books cost $7.00.

fomenos

A. x+y<100
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3 years ago

Hope Amelia Solo, the American soccer goalkeeper, World Cup champion and two-time Olympic gold medalist, allows goals at a rate

Nuetrik [128]

Answer:

3.70% probability she allows more than one goal

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.

X~Pois(0.3)

This means that $\mu = 0.3$

In her next match, what is the probability she allows more than one goal?

Either she allows at most one goal, or she allows more than one goal. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 1) + P(X > 1) = 1$

We want $P(X > 1)$ . So

$P(X > 1) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = \frac{e^{-0.3}*(0.3)^{0}}{(0)!} = 0.7408$

$P(X = 1) = \frac{e^{-0.3}*(0.3)^{1}}{(1)!} = 0.2222$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.7408 + 0.2222 = 0.9630$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.9630 = 0.0370$

3.70% probability she allows more than one goal

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3 years ago

A hot air balloon is descending

Harlamova29_29 [7]

Answer:

54 3/4

Step-by-step explanation:

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3 years ago