I need help in my graph

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Answer 1

Answer:

Answer:

I need the question or the graph to answer..

Step-by-step explanation:

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If the rate 30 hot dogs per 5 minutes is reduced to a unit rate, the result is . Do not include units in your answer.
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The time , in hours , it takes to repair an electrical breakdown in a certain factory is represent by a random variable x where repair time follow a normal distribution with mean 5 hour and standard deviation 1 hour , if 5 electrical breakdown ore randomly chosen , Find the probability that ( a all repaired time below 6 hours ( b ) exactly 3 of them repaired below 6 hours

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Answer:

a) 0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) 0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

Step-by-step explanation:

To solve this question, we need to understand the normal and the binomial probability distributions.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)$

In which $C_(n,x)$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_(n,x) = (n!)/(x!(n-x)!)$

And p is the probability of X happening.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

$Z = (X - \mu)/(\sigma)$

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 p-value, we get the probability that the value of the measure is greater than X.

Proportion repaired below 6 hours:

Mean 5 hours and standard deviation 1 hour, which means that $\mu = 5, \sigma = 1$

This proportion is the p-value of Z when X = 6. So

$Z = (X - \mu)/(\sigma)$

$Z = (6 - 5)/(1)$

$Z = 1$

$Z = 1$ has a p-value of 0.8413.

0.8413 repaired below 6 hours.

For the binomial distribution, this means that $p = 0.8413$

5 are chosen:

This means that $n = 5$

a) Probability that all are repaired in less than 6 hours

This is P(X = 5). So

$P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)$

$P(X = 5) = C_(5,5).(0.8413)^(5).(0.1587)^(0) = 0.4215$

0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) Probability that exactly 3 of them repaired below 6 hours

This is P(X = 3). So

$P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)$

$P(X = 3) = C_(5,3).(0.8413)^(3).(0.1587)^(2) = 0.15$

0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups

Answers

The correct answer is:

t ≥ 158.33, or rounded, t ≥ 160.

Explanation:

The equation we're given is
W = -0.414t + 129.549, which an be written as
-0.414t + 129.549 = W.

We are asked to find the amount of time it would take for the water level to be less than or equal to 64 cups. Plugging this information in, we have:

-0.414t + 129.549 ≤ 64

To solve this, we first cancel 129.549 by subtracting from both sides:
-0.414t + 129.549 - 129.549 ≤ 64 - 129.549
-0.414t ≤ -65.549

Now divide both sides by -0.414:
-0.414t/-0.414 ≤ -65.549/-0.414
t ≥ 158.33

(When we multiply or divide both sides of an inequality by a negative number, we must flip the inequality symbol.)

Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?

Answers

For polynomials having to or more variables, degree can be of a term or of the polynomial. The degree of a term is the sum of the exponents in a specific term while the degree of a polynomial is the highest value of all the degree of a term in the given polynomial. For the polynomial given, the degree of the polynomial is 7.

Answer:

The sum has a degree of 6, but the difference has a degree of 7

Based on the data in the video ( 100 pages for $5.25,200 pages for $7.75,300 pages for $10.25,400 pages for $12.75 ), a) How well will a line model the data? b) Find an equation for price in terms of the number of pages, n Price

Answers

Answer: Price (P) = 0.025n + $2.75

Step-by-step explanation:

a) Based on the data provided, a line model will reasonably fit the data. The given data points form a consistent pattern, where the number of pages increases linearly with the price.

b) To find an equation for price in terms of the number of pages, we can use the slope-intercept form of a linear equation: y = mx + b.

Let's use the data points to determine the slope (m) and y-intercept (b) of the equation.

Using the points (100, $5.25) and (400, $12.75):

Slope (m) = (12.75 - 5.25) / (400 - 100) = 7.5 / 300 = 0.025

Now, let's substitute one of the data points into the equation to solve for the y-intercept (b). Let's use the point (100, $5.25):

$5.25 = 0.025(100) + b

$5.25 = 2.5 + b

b = $5.25 - $2.5 = $2.75

Final answer:

The relationship between the number of pages and the price is linear, so a line will model the data well. The equation of the price per page can be found using the point-slope form of a line equation, which in this case leads to the equation: Price = $0.025*Pages + $5.00.

Explanation:

To determine how well a line will model the given data, it is essential first to examine the relationship between the number of pages and the price. Here, we observe a consistent increase of $2.50 for every 100 extra pages. This suggests a linear relationship, meaning a line should model the data well.

To find the equation for the price in terms of the pages, we can use the point-slope form of a line equation, y - y1 = m(x - x1). Here, (x1, y1) is a point on the line, and m is the slope of the line. The slope (m) can be found by determining the difference in price (y values) divided by the difference in pages (x values). The slope will be ($7.75 - $5.25)/(200 - 100) =$2.50/100 pages = $0.025/page.

Choosing the first data point (100, $5.25) as our point on the line, the price equation (Price = m * Pages + b) becomes Price = $0.025 * Pages + $5.00. Thus, based on the data, a line model is well-suited to represent the relation between the number of pages and the price.

Learn more about Linear Relationships and Line Models here:

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Help me please!?!?!?!

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The answer would be A

A teacher buys pizza for her class. There are 5 pizzas, each with 8 slices. If she has 25 students, how many slices of pizza does each student get?Group of answer choices

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There are 40 slices pratap and 25 kids. 40/25 is 1.6 meaning each student can only get one slice because not everybody could get two

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