Find the surface area of the solid

How many liters will a U.S. 6-quart container hold? Round your answer to the nearest hundredth

vovikov84 [41]

<span>You are given volume of 6 US quart. You are required to convert this into liters and be rounded off to the nearest hundredth. Keep in mind that for volume, every one liter is equal to 1.05669 US quart. So you need to divide the 6 US quart. This is equal to 6.34014 liters. To round of the nearest hundredth, the ocation of the hundredth is the four in 6.3<u>4</u>014. since after four is zero, the round off rule states that from 0-4, the preceding number remains unchanged. So the final answer is 6.34 liters.</span>

8 0

3 years ago

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Using the distributive property to factorize the equation 3x^2+24x=0, you get

Natalka [10]

Answer:

Step-by-step explanation:

$3x^2+24x=0\\factor: 3x(x+8)=0\\x=0, -8$

6 0

3 years ago

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At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening

pav-90 [236]

Answer:

$z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4$

$p_v =2*P(z>4)=0.0000633$

When we compare the significance level $\alpha=0.1$ we see that $p_v$ so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.

Step-by-step explanation:

Data given and notation

$\bar X=23$ represent the sample mean

$\sigma=3.5$ represent the population standard deviation

$n=49$ sample size

$\mu_o =21$ represent the value that we want to test

$\alpha=0.1$ 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 average age of the evening students is significantly different from 21, the system of hypothesis would be:

Null hypothesis: $\mu = 21$

Alternative hypothesis: $\mu \neq 21$

The statistic is given by:

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

Calculate the statistic

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

$z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4$

P-value

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

$p_v =2*P(z>4)=0.0000633$

Conclusion

When we compare the significance level $\alpha=0.1$ we see that $p_v$ so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.

8 0

3 years ago

Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?

m_a_m_a [10]

Answer:9 nickels and 19 dimes.

Step-by-step explanation:

Let $n$ be the number of nickels Kay has.