What is the 21st term of the sequence with a1 = -7 and d = 3?

expeople1 [14]

Answer: 13750+262=14,012 ft^3

Step-by-step explanation:

Hello!!!

Find the volume of the bottom and top separately and then add them. Cylinder volume is the area of the bottom times the height (22/7)(5^2)•175=13750 ft^3

The volume of a sphere isV=(4/3)(22/7)r^3where r is the radius. also 5 since it fits on the cylinder. Also we only want half the sphere so useV=(2/3)(22/7)•5^3=261.9 ft^3 round upto 262. Now add together 13750+262=14,012 ft^3

Hope this helps~!!!!!

5 0

3 years ago

An equilateral triangle with a side length of 6mm and a height of 5.2mm is divided vertically into halves. Find the area of one

Viefleur [7K]

There are two ways you could go about solving this.

You could divide the length of the base (6mm) by 2 and use that to find the area or you could find the area of the whole triangle using 6mm and divide that by 2.

I will use the first method I described:

base = 6/2

base = 3 mm

height = 5.2 mm

area = bh/2

area = (3 * 5.2)/2

area = 7.8 square mm

(don't forget your units)

Using the other method would look like this:

area = bh/2

b = 6

h = 5.2

area = (6 * 5.2)/2

area = 15.6 square mm

area/2 = 7.8 square mm

As you can see either method yields the same result.

Hope this helped.

Cheers and good luck,

Brian

8 0

3 years ago

Add 2/3+1/4. You MUST show your work to receive full credit

makkiz [27]

Write all numerators above the least common denominator.
8+3/12
Add the numbers.
Solution 11/12

8 0

3 years ago

Read 2 more answers

1).Calculate T, when sample mean is 120, population mean is 100, standard deviation is 20 and smaple size is 10 using levels of

Sonbull [250]

Answer:

$t=\frac{120-100}{\frac{20}{\sqrt{10}}}=3.16$

$p_v =2*P(t_{9}>3.16)=0.012$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and the true mean is significantly different from 100 at 5% of significance.

Step-by-step explanation:

Data given and notation

$\bar X=120$ represent the sample mean

$s=20$ represent the standard deviation for the sample

$n=10$ sample size

$\mu_o =100$ 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is different from 100, the system of hypothesis would be:

Null hypothesis: $\mu = 100$

Alternative hypothesis: $\mu \neq 100$

Compute the test statistic

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-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".

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

$t=\frac{120-100}{\frac{20}{\sqrt{10}}}=3.16$

Now we need to find the degrees of freedom for the t distirbution given by:

$df=n-1=10-1=9$

Conclusion

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

$p_v =2*P(t_{9}>3.16)=0.012$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and the true mean is significantly different from 100 at 5% of significance.

8 0

3 years ago

Read 2 more answers

What is the value of x for the y-intercept?

timurjin [86]

Answer:

0

Step-by-step explanation:

The y-intercept always focuses on the y only. The x would be 0. If you were to do the x intercept, y would be 0. Vise versa.

Hope this helped. :)

7 0

3 years ago