MATHEMATICS COLLEGE

any help would be great

Answers

Answer 1

Answer:

Answer:

k = P - m - n

Step-by-step explanation:

The question is asking you to rearrange the equation so that k is alone on one side.

P = k + m + n

P - k = (k + m + n) - k

P - k = m + n

(P - k) - P = m + n - P

-k = m + n - P

-1(-k) = -1 (m + n - P)

k = -m - n + P

The equation is completely simplified so this is your answer.

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Algebra 1 questions!3(d-4)=9
5/8 = 2m + 3/8
if 7x +5 = -2 find the value of 8x

Answers

3d - 12 = 9
3d = 21
d = 7

Answer:

HIiii

Step-by-step explanation:

A coral reef grows 0.14 m every week. How much does it grow in 14 weeks? Write your answer in millimeters.

Answers

Answer:

0.14*14= 1.96

Step-by-step explanation:

Must multiply 0.14 times 14 for the answer.

To make orange fizz, Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with 8 cups of water. How do their two mixtures compare in taste?

Answers

Answer:

Noah's mixture will taste more like orange, than Andre's mixture.

Step-by-step explanation:

Given:

Noah mixes 4 scoops of powder with 6 cups of water.

Means Noah ratio will be or 0.67

Andre mixes 5 scoops of powder with 8 cups of water

Means Andre ratio will be or 0.62

As,

0.66 > 0.62

We can say that content of orange powder will be more in Noah mixture than in Andre's Mixture.

Hence, Noah's mixture will taste more like orange, than Andre's mixture.

Camry is a popular car manufactured by Japanese Car manufacturer, Toyota. Being one of the best selling cars in USA, all of the Camry models in USA are manufactured and assembled by Toyota Motor Manufacturing at Georgetown, Kentucky. A car dealer wanted to find out the average mileage for driving inside city for Toyota Camry (2020 US) model cars. He took a sample of 117 Toyota Camry (2020 US) cars and finds that the average mileage for these cars is 27.8 mpg. Based on the information given above, match the following. 1. All the cars manufactured by the Japanese Car Manufacturer, Toyota.
2. All Toyota Camry (2020 US) model cars. < Population
3. The average mileage for driving inside city for all the cars manufactured by Toyota. Sample
4. 117 Toyota Camry (2020 US) cars that are sampled. Parameter
5. All the best selling cars in USA. Statistic
6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.
7. The average mileage of all Toyota Camry (2020 US) model cars.

Answers

Answer:

Explained below.

Step-by-step explanation:

A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.

A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

The matched pairs are as follows:

Population: 2. All Toyota Camry (2020 US) model cars.

Sample: 4. 117 Toyota Camry (2020 US) cars that are sampled.

Parameter: 7. The average mileage of all Toyota Camry (2020 US) model cars.

Statistics: 6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.

1) Between which two integers does the square root of 48 lie? *

Answers

Answer:

6 and 7

Step-by-step explanation:

I think you mean 'the sq rt of 48 lies between what 2 integers.'

The answer is 6 and 7.

A practice law exam has 100 questions, each with 5 possible choices. A student took the exam and received 13 out of 100.If the student guesses the whole test, the expected number of correct answers is 20 with a standard error of .Compute the z-test statistic for the observed value 13.Find the observed significance level or P-value of the statistic.

Answers

Answer:

$z=(13-20)/(4)=-1.75$

Assuming:

H0: $\mu \geq 20$

H1: $\mu <20$

$p_v = P(Z<-1.75) = 0.0401$

Step-by-step explanation:

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".

Let X the random variable of interest (number of correct answers in the test), on this case we now that:

$X \sim Binom(n=100, p=0.2)$

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:

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

We need to check the conditions in order to use the normal approximation.

$np=100*0.2=20 \geq 10$

$n(1-p)=20*(1-0.2)=16 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=100*0.2=20$

$\sigma=√(np(1-p))=√(100*0.2(1-0.2))=4$

So we can approximate the random variable X like this:

$X\sim N(\mu =20, \sigma=4)$

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z<b)$