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3 years ago

10

Ann took out a loan at the Bank of Florida with a principle amount of $7,000.00, at an interest rate of 6.5% for 3 years. What i

s the amount of her interest?

1 answer:

NARA [144]3 years ago

6 0

Is it 6.5% per year?
Amount = Principle (1+rate*time)
<span> 22365 = 7000(1.065 * 3)
Interest = 22365 - 7000 = 15365</span>

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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 <em>~ </em> $Binom(n=680, p=0.55)$

<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>

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

The midpoint of EF is M(4,10). One endpoint is E(2,6). Find the coordinates of the other endpoint F.

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You will need to set equations to solve for x and y coordinate.
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3 years ago

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In this form, it is much easier to compute the derivative:

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If we evaluate the derivative in the points of interest, we have

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3 years ago

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