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3 years ago

Find the area of the triangle that has a base of 5 in. and a height of 3 and 3/4 in.

Mathematics

2 answers:

kolbaska11 [484]3 years ago

3 0

The area is 9 3/8 in^3. Hopes this helps

sasho [114]3 years ago

3 0

The formula for area of a triangle given its base and its height is A = (bh)1/2.

The base and height of the triangle are given as follows.

b = 5

h = 3 3/4 or 15/4

Plug these values into the above formula and solve.

A = (bh)1/2

A = 5(15/4)1/2

A = 75/4 * 1/2

A = 75/8

Answer:

The area of the triangle is $\frac{75}{8}$ in² or $9\frac{3}{8}$ in².

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Verizon [17]

Answer:

$(21.9-19.8) -1.966\sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 1.422$

$(21.9-19.8) -1.966 \sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 2.778$

And we are 95% confident that the true difference means are between $1.422 \leq \mu_1 -\mu_2 \leq 2.778$

Step-by-step explanation:

We know the following info:

$\bar X_1 = 21.9$ sample mean for group 1

$\bar X_2 = 19.8$ sample mean for group 2

$s_1 = 3.4$ sample standard deviation for group 1

$s_2 = 3.5$ sample standard deviation for group 2

$n_1 = 200$ sample size group 1

$n_2 = 200$ sample size group 2

We want to find a confidence interval for the difference of means and the correct formula to do this is:

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}$

Now we just need to find the critical value. The confidence level is 0.95 then the significance is $1-0.95 =0.05$ and $\alpha/2 =0.025$ . The degrees of freedom are given by:

$df= n_1 +n_2 -2= 200+200-2= 398$

The critical value for this case would be : $t_{\alpha/2}=1.966$

And replacing into the confidence interval formula we got:

$(21.9-19.8) -1.966\sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 1.422$

$(21.9-19.8) -1.966 \sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 2.778$

And we are 95% confident that the true difference means are between $1.422 \leq \mu_1 -\mu_2 \leq 2.778$

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3 years ago

The figure shows a carpeted room. How many square feet of the room are carpeted?

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Answer:

Hello there, the answer would be

Step-by-step explanation:

We cut the figure into two different shapes.

Since on one side it is 4 feet and the height is seven, we cut right there.

So the bottom figure is now 4 x 5 = 20

The top figure is cut with 3 height left, So all we do is just multiply.

8 x 3 = 24.

20+24=44.

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