jans pencil is 8.5 cm,ted'pencil is longer,write a decimal that could represent the length of ted's pencil?

_________ are an indication that your vehicle may be developing a cooling system problem. A. Abrupt changes or trends in engine

Aleksandr [31]

Answer:

The answer is A

Step-by-step explanation:

6 0

3 years ago

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Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. Y

Elena-2011 [213]

Answer:

X: discrete

Y: continuous

M: continuous

N: discrete

P: discrete

Q: continuous

Step-by-step explanation:

First, we have to know the difference between discrete and continuous variables:

Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. They take positive integer values, {0, 1, 2, ..., n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values.
Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. They take positive real values, that means that in the interval used for the variable there are infinite possible values.

Now, we classify each variable:

The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X.
The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y.
The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M.
The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N.
The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P.
The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q.

3 0

4 years ago

A. Figure A

Citrus2011 [14]

Answer:

Figure b

Step-by-step explanation:

A translation is when a shape hoves to different coordinates but doesn't change size.

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3 years ago

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Which person has more potential energy? Noah who jumped out of the plane at 100 m or Clara at 50 m in the air? Explain.

olga_2 [115]

Answer:

Noah

Step-by-step explanation:

Potential energy is the amount of energy that can be transfered to kinetic. This means that the higher person will have more potential energy.

4 0

3 years ago

A maker of a certain brand of low-fat cereal barsclaims that the average saturated fat content is 0.5gram. In a random sample of

finlep [7]

Answer:

$t=\frac{0.475-0.5}{\frac{0.183}{\sqrt{8}}}=-0.386$

$p_v =2*P(t_{(7)}$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is different from 0.5 at 5% of signficance. So then the claim makes sense

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=0.475$

The sample deviation calculated $s=0.183$

We need to conduct a hypothesis in order to check if the true mean is 0.5 or no, the system of hypothesis would be:

Null hypothesis: $\mu = 0.5$

Alternative hypothesis: $\mu \neq 0.5$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{0.475-0.5}{\frac{0.183}{\sqrt{8}}}=-0.386$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=8-1=7$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(7)}$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is different from 0.5 at 5% of signficance. So then the claim makes sense

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3 years ago

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