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3 years ago

What is the height of the prism?

Mathematics

2 answers:

Licemer1 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

l = 3 m

w = 2 m

Volume = 36 cubic meter

l * w * h = 36

3 * 2 * h = 36

6 * h = 36

h = 36/6

h = 6 m

Mandarinka [93]3 years ago

6 0

Answer:

Step-by-step explanation:

Hope this helps!!!

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Which of the binomials below is a factor of this trinomial x^2-12x+35?

Novay_Z [31]

Answer:

Step-by-step explanation:

The trinomial $x^2-12x+35$ is of the form $x^2+bx+c$ . Then, it can be factored by searching two numbers that added are -12 and multiplied are 35. Those numbers are -7 and -5. Then,

$x^2-12x+35 = (x-7)(x-5)$

So, the answer is A.

5 0

3 years ago

Read 2 more answers

Consider the following sample data for two variables. x y 7 7 8 5 5 9 3 7 9 7 Calculate the sample covariance. b. Calculate the

Semmy [17]

Answer:

a) Sample co-variance = -1.5

b) Sample correlation = -0.4404152

c) Weak negative relationship between X and Y.

Step-by-step explanation:

a) by sample co-variance = sum ((x - xbar)* (y-ybar)/n-1

#.... use the following program in R

x = c(7,8, 5, 3, 9)

y = c(7,5,9,7,7)

sv = sum((x-mean(x))*(y-mean(y)))/4

cor(x,y)

####################################

4 0

3 years ago

Triangle xyz is similar to triangle xvw. write the congruence statements that must be true.

Lunna [17]

Answer:

∠ Y = ∠ V

∠ Z = ∠ W

$\frac{XY}{XV} =\frac{YZ}{VW} =\frac{XZ}{XW}$

Step-by-step explanation:

It is given that Δ XYZ is similar to Δ XVW.

Since corresponding angles of similar triangles are equal,

∠ X = ∠ X

∠ Y = ∠ V

∠ Z = ∠ W

Also, since corresponding sides of similar triangles are in proportionate,

$\frac{XY}{XV} =\frac{YZ}{VW} =\frac{XZ}{XW}$

7 0

3 years ago

Read 2 more answers

Are the two statements equivalent?

stiks02 [169]

$Ihopethishelps$

Answer:

Yes

Step-by-step explanation:

boys to girls is 3 to 4 or 3:4

girls to boys is 4 to 3 or 4:3

-------------------------------------------------------------------

The genders are mixed up but the ratios are the SAME or EQUIVALENT.

-------------------------------------------------------------------

boys 3

girls 4

$hopefullythishelpsyou$

$enjoyyourday$

8 0

3 years ago

Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4

Nady [450]

Answer:

18.88% probability that three or four customers will arrive during the next 30 minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Average rate of 6.4 per 30 minutes.

This means that $\mu = 6.4$

What is the probability that three or four customers will arrive during the next 30 minutes?

$P = P(X = 3) + P(X = 4)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 3) = \frac{e^{-6.4}*(6.4)^{3}}{(3)!} = 0.0726$

$P(X = 4) = \frac{e^{-6.4}*(6.4)^{4}}{(4)!} = 0.1162$

$P = P(X = 3) + P(X = 4) = 0.0726 + 0.1162 = 0.1888$

18.88% probability that three or four customers will arrive during the next 30 minutes

4 0

4 years ago