Need answer to. Add 3x-3and4x^2-6x

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Answer 1

Answer: 3x-3+4x^2-6x
4x^2-6x+3x-3 (arrange them in order)
4x^2-3x-3

do u want more simplified form ?

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Give the numerical value of the parameter p in the following binomial distribution scenarioA softball pitcher has a 0.721 probability of throwing a strike for each pitch and a 0.279 probability of throwing a ball. If the softball pitcher throws 19 pitches, we want to know the probability that more than 15 of them are strikes.

Answers

Answer:

$P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19)$

$P(X=16)=(19C16)(0.721)^(16) (1-0.721)^(19-16)=0.112$

$P(X=17)=(19C17)(0.721)^(17) (1-0.721)^(19-17)=0.051$

$P(X=18)=(19C18)(0.721)^(18) (1-0.721)^(19-18)=0.015$

$P(X=19)=(19C19)(0.721)^(19) (1-0.721)^(19-19)=0.002$

And replacing we got:

$P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19) =0.112+0.051+0.015+0.002= 0.1801$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^(n-x)$

Where (nCx) means combinatory and it's given by this formula:

$nCx=(n!)/((n-x)! x!)$

Solution to the problem

For this case our random variable is given by:

$X \sim Binom(n = 19, p = 0.721)$

For this case we want this probability:

$P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19)$

$P(X=16)=(19C16)(0.721)^(16) (1-0.721)^(19-16)=0.112$

$P(X=17)=(19C17)(0.721)^(17) (1-0.721)^(19-17)=0.051$

$P(X=18)=(19C18)(0.721)^(18) (1-0.721)^(19-18)=0.015$

$P(X=19)=(19C19)(0.721)^(19) (1-0.721)^(19-19)=0.002$

And replacing we got:

$P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19) =0.112+0.051+0.015+0.002= 0.1801$

$P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

Final answer:

In this binomial distribution scenario, the parameter 'p', representing the probability of success on each trial, is the probability of the pitcher throwing a strike, which is 0.721.

Explanation:

In the binomial distribution scenario you described, the softball pitcher throwing a pitch is the independent trial with two possible outcomes: throwing a strike (success) or a ball (failure). The parameter p represents the probability of success on each independent trial. From the question, we can see that the probability, or p, of the pitcher throwing a strike (success) is 0.721. Therefore, p = 0.721.

Please note that the binomial distribution model can be used when all trials are independent, the outcome of a trial is success or failure, and the probability of success remains the same for each trial. It doesn't appear that we need the number 'n' of independent trials or the random variable 'X' representing the number of successes (strikes in this case) for your question, as we were only asked for the value of 'p'.

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What is the unit price of a granola bar if 8 granola bars cost $4.16

Answers

Answer:

52 cents

Step-by-step explanation:

Answer:

divide 8 by 4.16

Step-by-step explanation:

The percent of fat calories that a person consumes each day is normally distributed with a mean of 37 and a standard deviation of 10. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. (a) For the group of 16, find the probability that the average percent of fat calories consumed is more than forty. (Round your answer to four decimal places.) 0.382 b) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) 30.25 percent of fat calories

Answers

Final answer:

The probability that the average percent of fat calories is more than 40 for a group of 16 individuals is 0.1151 and the first quartile for the average percent of fat calories is 34.82.

Explanation:

The problem presented is one of statistics, specifically dealing with the normal distribution. When dealing with the normal distribution, there are a few key facts to know. The mean (μ) is the average value of the data, the standard deviation (σ) measures the spread of the data, and the Z-score measures how many standard deviations an element is from the mean. It appears that you're asked to find the probability that the average percent of fat calories is more than 40 for a group of 16 individuals and the value corresponding to the first quartile.

For (a), remember that when dealing with averages, the standard deviation gets divided by the square root of the number of observations. Therefore, the new standard deviation becomes 10/√16 = 2.5. The Z-score can then be calculated by subtracting the mean from the observed value and dividing by the new standard deviation. That is, Z = (40 - 37) / 2.5 = 1.2. You can then refer to a Z-table to find the probability associated with this Z-score. However, since the question is asking for more than 40, you need to subtract the resulting probability from 1. Rounded to four decimal places, the probability that the average percent of fat calories is more than 40 is 0.1151.
For (b), the first quartile (Q1) is the value corresponding to the 25th percentile. This corresponds to a Z-score of -0.674 (from the Z-table). You can then use the formula Q1 = μ + Zσ to obtain Q1 = 37 - 0.674*2.5 = 34.815. Therefore, the first quartile for the average percent of fat calories is 34.82 (after rounding to two decimal places).

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Final answer:

The probability that the group consumes more than 40% of fat calories is 0.8849 (or 88.49%). The first quartile for the average percent of fat calories is 34.26%.

Explanation:

This problem requires the use of normal distributions and the calculation of z-scores, which is a quantitative measure that describes a value's relationship to the mean of a group of values. Knowing the mean (μ) and standard deviation (σ), you can calculate the z-score.

In part a) the problem asks for the probability that a sample of 16 individuals has an average fat calories consumption over 40%. First, we calculate the z-score.

z = (X - μ) / (σ/ √ n ), where n is the sample size. So, z = (40 - 37) / (10 / √ 16) = 1.2. Using a standard normal distribution table, we find that the probability corresponding to this z-value is ~0.1151. However, since the question is asking for more than 40%, we subtract this from 1 (1 - 0.1151 = 0.8849). So, the chance that the average of this sample would have more than 40% fat calories is 0.8849, or 88.49%.

For part b), the first quartile (also known as the 25th percentile) is the point at which 25% of the data fall below it. With a standard normal distribution, this z-value is approximately -0.674. We plug this into our z-score formula to find: X = μ + Zσ = 37 -0.674(10) =34.26%. Therefore, the point where 25% of individual average fat calories fall below it is 34.26%.

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A fruit picker is paid $4.30 per box of fruit picked. How much would a picker earn for 37 boxes picked over a day?

Answers

Answer:

$159.10 a day

Step-by-step explanation:

4.3*37=159.1

Casey has 48 red peppers and 16 yellow peppers.If Casey wants to put the peppers into baskets so that each basket has the same number of red peppers and the same number of yellow peppers,what is the greatest number of baskets he can make?How many of each type of pepper will be in each basket?

Answers

Answer:

16 baskets, each containing 3 red peppers and 1 yellow pepper

Step-by-step explanation:

The greatest common factor (GCF) of the two numbers can be found a variety of ways. It is simplest just to recognize that 16 is a divisor of 48, so is the GCF of the two numbers Since that number divides both evenly, the respective quotients will be the number of peppers in each of the 16 baskets.

(48 red peppers)/(16 baskets) = 3 red peppers/basket

(16 yellow peppers)/(16 baskets) = 1 yellow pepper/basket

A differential equation is given. Classify it as an ordinary differential equation (ODE) or a partial differential equation (PDE), give the order, and indicate the independent and dependent variables. If the equation is an ordinary differential equation, indicate whether the equation is linear or nonlinear. StartFraction d Superscript 4 Baseline y Over dx Superscript 4 EndFraction plus StartFraction d squared y Over dx squared EndFraction plus 8 y equals 5 cosine 4 x Classify the given differential equation. Choose the correct answer below. a. partial differential equation b. nonlinear ordinary differential equationc. linear ordinary differential equation

Answers

Answer: C

Step-by-step explanation:

Linear Ordinary Differential Equation

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