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3 years ago

Solve the system of equations: y = 2x + 1 y = x2 + 2x - 8

Mathematics

1 answer:

Elan Coil [88]3 years ago

4 0

(3,7),(-3,-5)

that’s what it would look like on a graph

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Simplify − 2/3 − 3/5 .

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One number is seven more than four times another number. If the sum of the numbers is 22, find the numbers.

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Step-by-step explanation:

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Jared surf for one third of the nine hours he was at the beach he spent the rest of the time building a sandcastle how many hour

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Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes

lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 680 trials

r = number of success

p = probability of success which in our question is 0.55

So, it means X ~ $Binom(n=680, p=0.55)$

Now, we have to find the mean and standard deviation of the given binomial distribution.

Mean of Binomial Distribution is given by;

E(X) = n $\times$ p

So, E(X) = 680 $\times$ 0.55 = 374

Standard deviation of Binomial Distribution is given by;

S.D.(X) = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{680 \times 0.55 \times (1-0.55)}$

= $\sqrt{680 \times 0.55 \times 0.45}$ = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

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3 years ago

Janice is standing 15m form the base of a building. From the point where she is standing, the angle of elevation of the top of t

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Answer:

the building is 28m

Step-by-step explanation:

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