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3 years ago

6

Elina’s friend Luke said that he could make more rectangles with 24 tiles then Elaine’s 10 tiles do you agree with Luke’s explai

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2 answers:

icang [17]3 years ago

5 0

No, because it needs to equal 25, not 24.

LuckyWell [14K]3 years ago

4 0

Answer:

Yes, Luke's statement is correct and he could make more rectangles with 24 tiles than than Elaine's 10 tiles.

Step-by-step explanation:

Clearly, a tile is in the shape of a square.

Let 'a' be the side of a tile.

If we place two tiles side by side, we will get a rectangle whose length is '2a' and width is 'a'.

To make a single rectangle, the minimum number of tiles needed = 2.

So, Luke can make a maximum number of $\frac{24}{2}$ = 12 rectangles.

But, Elaine can make $\frac{10}{2}$ = 5 rectangles.

Hence, Luke's statement is correct and he could make more rectangles with 24 tiles than Elaine's 10 tiles.

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Find the slope of the line.<br><br> A: 1/2<br> B: - 1/2<br> C: -2<br> D: 2<br><br> Please Help

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3 years ago

Suppose the standard deviation of a normal population is known to be 3, and H0 asserts that the mean is equal to 12. A random sa

blagie [28]

Answer:

$z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9$

$p_v =P(z>1.9)=0.0287$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=12.95$ represent the sample mean

$\sigma=3$ represent the population standard deviation for the sample

$n=36$ sample size

$\mu_o =12$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 12, the system of hypothesis would be:

Null hypothesis: $\mu \leq 12$

Alternative hypothesis: $\mu > 12$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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:

$z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9$

P-value

Since is a right tailed test the p value would be:

$p_v =P(z>1.9)=0.0287$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.

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3 years ago

Read 2 more answers

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<span>December = $57

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3 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls <3

NeX [460]

Answer:

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The 2 points are (1, 2) and (4, 4).

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= $\frac{4-2}{4-1}$

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Substitute the value of the slope into m:

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Substitute any point into the equation to find c:

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$2= \frac{2}{3}(1)+c$

Solve for c:

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c= $\frac{4}{3}$

Thus, the equation that represents the line is $y=\frac{2}{3}x+\frac{4}{3}$ .

Additional:

Should you wish to learn more about slope-intercept form, do check out the following!

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