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2 years ago

Please answer correctly! I will mark you as Brainleist!

Mathematics

2 answers:

borishaifa [10]2 years ago

8 0

Answer:

The answer is 4 cm

Step-by-step explanation:

Volume of the triangular prism = 544 m³

height of the prism (h) = 17 m

Also

Volume of the prism = Area of base * height

544 = Area of base * 17

Area of base = 544 / 17

Area of base = 32 m²

Now

Base of the triangle (b) = 16 m

Area of the triangle = 32 m³

height (h) = ?

We know

Area of triangle = 1/2 * b * h

32 = 1/2 * 16 * height

32 * 2 / 16 = height

height of the triangle = 4 m

Hope it will help :)❤

lilavasa [31]2 years ago

3 0

Answer:

Step-by-step explanation:

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3 years ago

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ziro4ka [17]

Answer:

a) $\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}$

$363.90 \leq \sigma^2 \leq 4430.80$

Now we just take square root on both sides of the interval and we got:

$19.08 \leq \sigma \leq 66.56$

b) For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Step-by-step explanation:

423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0

Part a

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^8 (x_i -\bar x)^2}{n-1}}
And in order to find the sample mean we just need to use this formula:
[tex]\bar x =\frac{\sum_{i=1}^n x_i}{n}$

The sample deviation for this case is s=30.23

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=9-1=8$

The Confidence interval is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and the critical values are:

$\chi^2_{\alpha/2}=20.09$

$\chi^2_{1- \alpha/2}=1.65$

And replacing into the formula for the interval we got:

$\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}$

$363.90 \leq \sigma^2 \leq 4430.80$

Now we just take square root on both sides of the interval and we got:

$19.08 \leq \sigma \leq 66.56$

Part b

For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

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3 years ago

Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 4 or 8?

sveticcg [70]

There are 6 numbers on each die.

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To get a sum of 4, the combinations are: 1 & 3, 2 & 2 or 3 & 1.

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The total of those combinations are: 3 + 7 = 10 total combinations of a sum of either 4 or 8.

The probability of either is 10/36, which can be reduced to 5/18.

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Answer:

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