MATHEMATICS COLLEGE

Ariana’s annual(year) pay is $34,320. What is her average gross pay?9.Per Month?
10.Per week?
11.Per day?

Answers

Answer 1

Answer:

Answer:

9. $2,860 per month

10. $660 per week

11. $94 per day (not 100% sure on this one, not sure if its getting techinical with working 5 days a week)

Step-by-step explanation:

9. $34,320 divide by number of months in a year (12)

10. $34,320 divide by number of weeks in a year (52)

11. $34,320 divide by number of days in a year (365)

Related Questions

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Answers in Scientific Notation.
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The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate school. According to the document Interpreting Your GRE Scores, a publication of the Educational Testing Service, the scores on the verbal portion of the GRE are (approximately) normally distributed with mean 462 points and standard deviation 119 points. (6 p.) (a) Obtain and interpret the quartiles for these scores. (b) Find and interpret the 99th percentile for these scores
The amount of chlorine needed to treat a swimming pool is directly proportional to the volume of the poolWhat is the constant of proportionality for this relationship

Let the number of chocolate chips in a certain type of cookie have a Poisson distribution. We want the probability that a cookie of this type contains at least two chocolate chips to be greater than 0.99. Find the smallest value of the mean that the distribution can take.

Answers

Answer:

$\lambda \geq 6.63835$

Step-by-step explanation:

The Poisson Distribution is "a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event".

Let X the random variable that represent the number of chocolate chips in a certain type of cookie. We know that $X \sim Poisson(\lambda)$

The probability mass function for the random variable is given by:

$f(x)=(e^(-\lambda) \lambda^x)/(x!) , x=0,1,2,3,4,...$

And f(x)=0 for other case.

For this distribution the expected value is the same parameter $\lambda$

$E(X)=\mu =\lambda$

On this case we are interested on the probability of having at least two chocolate chips, and using the complement rule we have this:

$P(X\geq 2)=1-P(X<2)=1-P(X\leq 1)=1-[P(X=0)+P(X=1)]$

Using the pmf we can find the individual probabilities like this:

$P(X=0)=(e^(-\lambda) \lambda^0)/(0!)=e^(-\lambda)$

$P(X=1)=(e^(-\lambda) \lambda^1)/(1!)=\lambda e^(-\lambda)$

And replacing we have this:

$P(X\geq 2)=1-[P(X=0)+P(X=1)]=1-[e^(-\lambda) +\lambda e^(-\lambda)[]$

$P(X\geq 2)=1-e^(-\lambda)(1+\lambda)$

And we want this probability that at least of 99%, so we can set upt the following inequality:

$P(X\geq 2)=1-e^(-\lambda)(1+\lambda)\geq 0.99$

And now we can solve for $\lambda$

$0.01 \geq e^(-\lambda)(1+\lambda)$

Applying natural log on both sides we have:

$ln(0.01) \geq ln(e^(-\lambda)+ln(1+\lambda)$

$ln(0.01) \geq -\lambda+ln(1+\lambda)$

$\lambda-ln(1+\lambda)+ln(0.01) \geq 0$

Thats a no linear equation but if we use a numerical method like the Newthon raphson Method or the Jacobi method we find a good point of estimate for the solution.

Using the Newthon Raphson method, we apply this formula:

$x_(n+1)=x_n -(f(x_n))/(f'(x_n))$

Where :

$f(x_n)=\lambda -ln(1+\lambda)+ln(0.01)$

$f'(x_n)=1-(1)/(1+\lambda)$

Iterating as shown on the figure attached we find a final solution given by:

$\lambda \geq 6.63835$

Final answer:

The problem pertains to Poisson Distribution in probability theory, focusing on finding the smallest mean (λ) such that the probability of having at least two chocolate chips in a cookie is more than 0.99. This involves solving an inequality using the formula for Poisson Distribution.

Explanation:

This problem pertains to the Poisson Distribution, often used in probability theory. In particular, we're looking at the number of events (in this case, the number of chocolate chips) that occur within a fixed interval. Here, the interval under study is a single cookie. The question requires us to find the smallest value of λ (the mean value of the distribution) such that the probability of getting at least two chocolate chips in a cookie is more than 0.99.

Using the formula for Poisson Distribution, the probability of finding k copies of an event is given by:

P(X=k) = λ^k * exp(-λ) / k!

The condition here is that the probability of finding at least 2 copies is more than 0.99. Therefore, you formally need to solve the inequality:

P(X>=2) = 1 - P(X=0) - P(X=1) > 0.99

Substituting the values of P(X=0) and P(X=1) from our standard formula, you will need to calculate and find the smallest value of λ that satisfies this inequality.

Learn more about Poisson Distribution here:

brainly.com/question/33722848

#SPJ11

Given that the measurement is in centimeters,find the area of the circle to the nearest tenth.(Use 3.14 for pi)A)28.3
B)56.5
C)88.7
D).254.3

Answers

Answer:

D) 254.3

Step-by-step explanation:

The formula for the area of a circle is πr^2

so it would be, 3.14 x 9 x 9= 254.34

then just round your answer to the nearest tenth to get 254.3

Hope this helps! Let me know if you need help with anything else!

Find the slope of the line that passes through the points (2,12)and(-2,0)

Answers

Answer:

Step-by-step explanation:

(0 - 12)/(-2 - 2)= -12/-4= 3

y - 0 = 3(x + 2)

y = 3x + 6

The local oil changing business is very busy on Saturday mornings and is considering expanding. A national study of similar businesses reported the mean number of customers waiting to have their oil changed on Saturday morning is 3.6. Suppose the local oil changing business owner wants to perform a hypothesis test. The null hypothesis is the population mean is 3.6 and the alternative hypothesis that the population mean is not equal to 3.6. The owner took a random sample of 16 Saturday mornings during the past year and determined the sample mean is 4.2 and the sample standard deviation is 1.4. It can be assumed that the population is normally distributed and the level of significance is 0.05. The critical t value for this problem is _______.

Answers

Answer:

2.131

Step-by-step explanation:

Given : Sample size = 16

Sample mean is 4.2

Sample standard deviation is 1.4.

Level of significance is 0.05.

To Find : critical t value

Solution:

Sample size = 16

Since n < 30

So we will use t - test

We are supposed to find critical t value

Degree of freedom = n-1 = 16-1 = 15

Level of significance =α= 0.05

Now refer the t table for t critical

$t_({(\alpha)/(2),d.f.})$ = $t_({(0.05)/(2),15})$ = 2.131

Hence The critical t value for this problem is 2.131

In a school of 500 students, 30% had I-Phones. The percent of boys to giwere 25% and 75% respectively.
A. Calculate (I) the number of students with I-PhonesIn a school of 500 students, 30% had I-Phones. The percent of boys to gi
vere 25% and 75% respectively.

Answers

Answer:

tbh,I would calculate the girls to boys ratio.

Step-by-step explanation:

I mean, them boys gotta be in female heaven.

25% of them, the rest being girls, dang, imagine being handsome. lots of gf's

and FYI, it's iPhone not an i-phone.

Robert wants to try some new chocolate chip cookie recipes. His current recipe calls for three and a half cups of flour for every bag of chocolate chips. He wants to determine which recipes require more or less flour than his current recipe. Sort the items into the diagram below.

Answers

Final answer:

To find out which recipes use more or less flour than Robert's current recipe, compare the quantity of flour needed per bag of chocolate chips in the new recipes to the 3.5 cups of flour needed in his current recipe.

Explanation:

In response to Robert's request, we would compare the amount of flour used in his current recipe to that used in other recipes. Since Robert's present recipe demands 3.5 cups of flour for each bag of chocolate chips, we would then have a baseline to compare with other recipes.

For instance, if a new recipe requires 4 cups of flour for a bag of chocolate chips, it means this recipe takes more flour. Conversely, if the recipe takes 3 or 2.5 cups for the same amount of chocolate chips, it uses less flour.

Overall, the process involves measuring the amount of flour that each new recipe requires and comparing it to the 3.5 cups in Robert's current recipe.

Therefore, to find out which recipes use more or less flour than Robert's current recipe, compare the quantity of flour needed per bag of chocolate chips in the new recipes to the 3.5 cups of flour needed in his current recipe.