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2 years ago

A rectangular prism is 12cm long 6cm wide and 5 cm high what is the volume of the regtangular prism

Mathematics

1 answer:

Stella [2.4K]2 years ago

8 0

Answer:you do length times width times height to get your answer.

Step-by-step explanation: do 12 x 6 x 5 to equal 360

You might be interested in

In a school 40% are boys and 900 are girls. find the total number of students of the school and the number of boys

My name is Ann [436]

Answer:

1500 students

600 boys

Step-by-step explanation:

40% are boys, so 60% are girls.

Writing a proportion:

900 / 60% = x / 100%

x = 1500

There are 1500 students in the school, which means there are 600 boys in the school.

6 0

3 years ago

What is equivalent to the expression: (10g^3 - 8g^2 + 5g - 14) + (10g^2 + 12g)

irinina [24]

10g^3 - 8g^2 + 5g - 14 + 10g^2 + 12g
its just a matter of combining like terms
10g^3 + 2g^2 + 17g - 14

5 0

3 years ago

At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical popul

vampirchik [111]

Answer:

a) Null Hypothesis: $\mu =900$

Alternative hypothesis: $\mu \neq 900$

b) The 95% confidence interval would be given by (910.05;959.95)

c) Since we confidence interval not ocntains the value of 900 we fail to reject the null hypothesis that the true mean is 900.

d) $z=\frac{935 -900}{\frac{180}{\sqrt{200}}}=2.750$

Since is a bilateral test the p value is given by:

$p_v =2*P(Z>2.750)=0.0059$

Step-by-step explanation:

a. State the hypotheses.

On this case we want to check the following system of hypothesis:

Null Hypothesis: $\mu =900$

Alternative hypothesis: $\mu \neq 900$

b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean x¯¯¯= 935?

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=935$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=180$ represent the population standard deviation

n=200 represent the sample size

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=3278.222$

The sample deviation calculated $s=97.054$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$935-1.96\frac{180}{\sqrt{200}}=910.05$

$935+1.96\frac{180}{\sqrt{200}}=959.95$

So on this case the 95% confidence interval would be given by (910.05;959.95)

c. Use the confidence interval to conduct a hypothesis test. Using α= .05, what is your conclusion?

Since we confidence interval not ocntains the value of 900 we fail to reject the null hypothesis that the true mean is 900.

d. What is the p-value?

The statistic is given by:

$z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

If we replace we got:

$z=\frac{935 -900}{\frac{180}{\sqrt{200}}}=2.750$

Since is a bilateral test the p value is given by:

$p_v =2*P(Z>2.750)=0.0059$

So then since the p value is less than the significance we can reject the null hypothesis at 5% of significance.

8 0

3 years ago

Complete the equation to make a true statement. 3 qt = ____ pt

Monica [59]

There are two pints in a quart
so 3 times 2 equals 6
3 qt = 6 pt

3 0

3 years ago

Read 2 more answers

Can someone help me? Brainliest + Points!

iris [78.8K]

Answer:

D. $\frac{2}{5}$

Step-by-step explanation:

Since we know that the odds of an events can be found by dividing the probability that an event will occur by the probability that the event will not occur.

$\text{Odds of an event}=\frac{\text{Probability that event will occur}}{\text{Probability that event will not occur}}$

Probability of an event not occurring can be found by subtracting probability of the event occurring from 1.

$\text{Odds of an event}=\frac{\text{Probability that event will occur}}{1-\text{Probability that event will occur} }$

We have been given that probability of an event is 2/7.

Upon substituting our given values in above formula we will get,

$\text{Odds of the given event}=\frac{\frac{2}{7}}{1-\frac{2}{7}} }$

$\text{Odds of the given event}=\frac{\frac{2}{7}}{\frac{7-2}{7}} }$

$\text{Odds of the given event}=\frac{\frac{2}{7}}{\frac{5}{7}} }$

$\text{Odds of the given event}=\frac{2}{7}\times \frac{7}{5}$

$\text{Odds of the given event}=\frac{2}{5}$

Therefore, the odds of the same event are $\frac{2}{5}$ and option D is the correct choice.

7 0

2 years ago