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4 years ago

Write an equation in point slope form? I think it’s b

Mathematics

1 answer:

julia-pushkina [17]4 years ago

5 0

The point-slope form:

$y-y_1=m(x-x_1)$

We have:

$(8,\ 3)\to x_1=8,\ y_1=3\\m=5$

Substitute:

$\boxed{y-3=5(x-8)}$

10.

We have:

$(-3,\ -5)\to x_1=-3,\ y_1=-5\\m=-\dfrac{2}{5}$

Substitute:

$y-(-5)=-\dfrac{2}{5}(x-(-3))\\\\\boxed{y+5=-\dfrac{2}{5}(x+3)}$

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A small gym in Biloxi, Mississippi, averages about 50 customers on weekdays with a standard deviation of 10. It is safe to assum

andreyandreev [35.5K]

Answer:

It is very unusual as the probability to get a sample average of 75 or more customers if the manager had not offered the discount is 0.006

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 10

We are given that the distribution of number of customers is a bell shaped distribution that is a normal distribution.

In an attempt to increase the number of weekday customers, the manager offers a $10 membership discount on 5 consecutive weekdays and the sample mean of customers during this weekday period jumps to 75.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(sample average of 75 or more customers if the manager had not offered the discount)

P(x > 75)

$P( x > 75) = P( z > \displaystyle\frac{75 - 50}{10}) = P(z > 2.5)$

$= 1 - P(z \leq 2.5)$

Calculation the value from standard normal z table, we have,

$P(x > 610) = 1 - 0.994 = 0.006= 0.6\%$

It is very unusual as the probability to get a sample average of 75 or more customers if the manager had not offered the discount is 0.006

b) Yes, the managers discount strategy worked as it increased the average number of customers from 50 customers to 75 customers.

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3 years ago

When you graduate college at the age of 20, you want to start saving up for retirement. If your investment pays a fixed APR of 9

Dominik [7]

Answer-

You need to deposit $337.62 each month, to reach this goal.

Solution-

We know that,

$\text{FV of annuity}=P[\frac{(1+r)^n-1}{r}]$

Where,

P = periodic payment

r = rate per period

n = number of period

Here,

$FV\ of\ annuity=2,500,000,\\\\P=?,\\\\r = 9\%\ annually=\frac{9}{12}\%\ monthly=\frac{9}{1200}\ monthly\\\\n=45\ years=45\times 12=540\ months$

Putting the values,

$\Rightarrow 2500000=P[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]$

$\Rightarrow P=\frac{2500000}{[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]}$

$\Rightarrow P=\frac{2500000}{\frac{56.5365-1}{0.0075}}$

$\Rightarrow P=\frac{2500000}{\frac{55.5365}{0.0075}}$

$\Rightarrow P=337.62$

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2 years ago

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"Reduce Fractions to lowest terms" 6 divided by 3.66

frozen [14]

Answer:

100/61 or 1.63934

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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4 years ago

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