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3 years ago

Noah receives a $5 discount each month on his cell phone bill because he signed up for

Mathematics

1 answer:

lana [24]3 years ago

4 0

Answer:

Noah would pay $40 each month

The discount Noah received decreased the amount he pays by $5 every month.

Total discount in 8 months = 8 x $5 = $40

If Noah stopped using autopay, he would have to pay the full amount

Without the discount, the total amount Noah would pay in 8 months = amount paid without discount + total discount amount

$280 + $40 = $320

Amount Noah would pay per month = Total amount he pays in 8 months without discount / 8

$320 / 8 = $40

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If the terminal side of angle 0 in standard position intersects the unit circle at p (3/5,4/5). Find cos0 and sin0

Rina8888 [55]

Answer:

$\sin \theta = \frac{4}{5}$ , $\cos \theta = \frac{3}{5}$

Step-by-step explanation:

Let be $P(x,y) = \left(\frac{3}{5}, \frac{4}{5} \right)$ the end of the terminal side of angle $\theta$ in standard position, that is, an angle measured with respect to +x semiaxis. By Trigonometry, we know that the sine and the cosine of the angle are, respectively:

$\sin \theta = \frac{y}{\sqrt{x^{2} + y^{2}}}$ (1)

$\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}$ (2)

If we know that $x = \frac{3}{5}$ and $y = \frac{4}{5}$ , then the sine and the cosine of the angle are:

$\sin \theta = \frac{\frac{4}{5} }{\sqrt{\left(\frac{3}{5} \right)^{2}+\left(\frac{4}{5} \right)^{2}}}$

$\sin \theta = \frac{4}{5}$

$\cos \theta = \frac{\frac{3}{5} }{\sqrt{\left(\frac{3}{5} \right)^{2}+\left(\frac{4}{5} \right)^{2}}}$

$\cos \theta = \frac{3}{5}$

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3 years ago

Tickets to the garden show cost $6.75 for adults and $3.75 for children. By rounding to the nearest whole dollar, find an estima

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3 years ago

The shoes cost $200 with a sales tax of<br> 7.5%, How much is the total Costs?

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3 years ago

Read 2 more answers

Find the sum. 376 249 238 + 492

Snezhnost [94]

Answer:

it is 1,355

Step-by-step explanation:

all you have to do is add them up through a calculator or add them up the simple addition way which would be putting them on top of each other hope it helps

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3 years ago

A film distribution manager calculates that 7% of the films released are flops. If the manager is correct, what is the probabili

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Answer:

0.9909 = 99.09% probability that the proportion of flops in a sample of 404 released films would be greater than 4%

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .