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4 years ago

Anyone know this ? Please help :(

Mathematics

1 answer:

Akimi4 [234]4 years ago

6 0

Answer:

Step-by-step explanation:

Just plug in and check. Plug in the first digit for x and the second digit for f(x)

First, try A. Does 5^0= 5? no so A is wrong

Now try B. Does 5^5=1? no so B is also wrong

Next try C. Does 5^0=0? no so C is wrong.

Finally, try D. Does 5^1=5? Yes so D is correct.

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3 years ago

The percent, X , of shrinkage o n drying for a certain type of plastic clay has an average shrinkage percentage :, where paramet

never [62]

Answer:

a) $t=\frac{18.4-17.5}{\frac{2.2}{\sqrt{45}}}=2.744$

The degrees of freedom are given by:

$df=n-1=45-1=44$

The critical value for this case is $t_{\alpha}=1.68$ since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4

b) $p_v =P(t_{(44)}>2.744)=0.0044$

Step-by-step explanation:

Information given

$\bar X=18.4$ represent the sample mean

$s=2.2$ represent the sample standard deviation

$n=45$ sample size

$\mu_o =17.5$ represent the value to verify

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Part a

We want to test if the true mean is higher than 17.5, the system of hypothesis would be:

Null hypothesis: $\mu \leq 17.5$

Alternative hypothesis: $\mu > 17.5$

The statistic is given by:

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

And replacing we got:

$t=\frac{18.4-17.5}{\frac{2.2}{\sqrt{45}}}=2.744$

The degrees of freedom are given by:

$df=n-1=45-1=44$

Part b

The p value would be given by:

$p_v =P(t_{(44)}>2.744)=0.0044$

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4 years ago

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Answer:

2x-y=2

Step-by-step explanation:

first, the easiest thing to do is multiply the whole thing by 3, since the fractions's denominators are the same.

you should get:

2x -y = 2

standard form formula = Ax + By = C

so luckily, the equation above we just solved is already in standard form after multiplying everything by 3

remember that in standard form, A cannot be negative, and we can't have any fractions in the equation

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Answer:

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