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4 years ago

3

A glass has a circlar base with a radius of 3.5 cm. A rectangular tray has dimensions 40 cm by 25cm. how many glasses will fit t

he tray?

1 answer:

Marina86 [1]4 years ago

3 0

25 glasses will fit the tray

Step-by-step explanation:

Given

Radius of circular base of glass = r = 3.5 cm

Length of tray = l = 40 cm

Width = w = 25 cm

First of all we will find the area of circular base

So,

$A = \pi r^2\\= 3.14 * (3.5)^2\\= 3.14*12.25\\=38.465\\=38.5\ cm^2$

Now

Area of tray:

$A_t = l * w\\= 40 * 25\\= 1000 cm^2$

Now we will find how many circular bases(glasses) can be put into the area of rectangular tray.

So,

$No.\ of\ glasses = \frac{Area\ of\ tray}{Area\ of\ glass's\ circular\ base}\\=\frac{1000}{38.5}\\=25.97\ glasses$

As the number of glasses cannot be in decimal and rounding off to next number will make the glasses go out of the area of tray we will round off to previous number.

Hence,

25 glasses will fit the tray

Keywords: Area, rectangle

Learn more about area at:

#LearnwithBrainly

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3 years ago

A triangle has angles that measure 72.5 degrees and 32.7 degrees. What is the measure of the third angle?

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4 years ago

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A business school has a goal that the average number of years of work experience of its MBA applicants is more than three years.

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Answer:

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If we compare the p value and the significance level assumed $\alpha=0.01$ 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 height of men actually its NOT significant higher than 0.3 at 1% of signficance.

Step-by-step explanation:

Data given and notation

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$\sigma=\sqrt{6}$ represent the sample standard deviation for the sample

$n=47$ sample size

$\mu_o =3$ represent the value that we want to test

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

t 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 higher than 3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3$

Alternative hypothesis: $\mu > 3$

If we analyze the size for the sample is > 30 and we know the population deviation so 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:

$z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280$

P-value

Since is a one side test the p value would be:

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Conclusion

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fomenos

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