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zmey [24]
3 years ago
10

99 POINTS! If the area of the figure is 16 square centimeters, what is the height of the triangle?

Mathematics
2 answers:
erastovalidia [21]3 years ago
8 0

Answer:

The height of the triangle is 3.2 cm.

Step-by-step explanation:

The area of the triangle = 16 cm^2

Base of the triangle = 10 cm

Height of the triangle = h cm

Area of the triangle = \frac{1}{2}\times Base\times height

16 cm^2=\frac{1}{2}\times 10 cm \times h

h = 3.2 cm

The height of the triangle is 3.2 cm.

nevsk [136]3 years ago
4 0

Answer:

The answe is 3.2 cm because I just had this in my online assignment

Step-by-step explanation:

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I think the anwser is

<h2>C.60 percent</h2>

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"!I NEED HELP WITH MY MATH PROBLEMS, PLEASE!" (27 POINTS)
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25. yes it's direct variation
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Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a
just olya [345]

Answer:

P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)

=P(Z

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and X \sim Bin(n=600, p =0.4)

And we want this probability:

P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.&#10;[tex]np=600*0.4=240\geq 10

n(1-p)=600*(1-0.4)=360 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=600*0.4=240

\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12

And then X \sim N (\mu = 240, \sigma= 12)

And we are interested on the following probability:

P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)

=P(Z

So then the correct answer would be:

B) .9996

6 0
3 years ago
Please help please reply
fgiga [73]

Answer:

hypotenuse:15

Step-by-step explanation:

Pythagorean Theorem is a^2 + b^2 = c^2

"a" and "b" are the legs, "c" is the hypotenuse

9^2 + 12^2 = 225

\sqrt{225\\

hypotenuse = 15

4 0
3 years ago
5(7-4+3-5)-3(6-7-4-3)
Maksim231197 [3]

Answer:

It would be 29.

Step-by-step explanation:

4 0
3 years ago
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