All categories

3 years ago

Evaluate the formula v=bh/3 for b = 36 in.2 and h = 11 in.

2 answers:

7 0

Step-by-step explanation: The volume of the pyramid is defined by the formula v = ( b·h ) / 3 , where b is the surface of the base of the pyramid, and h is the altitude of the pyramid. The multiplied values of the surface of the base and the altitude is divided by three, and the value obtained represents the volume of the pyramid. Since the values of the base surface and the altitude are given, it is only necessary to insert the given values in the formula:

b = 36 in²

h = 11 in

v = ( 36 in²·11 in) / 3 = 132 in³

From the given values it can be seen that the surface of the base b is given in square inches, while the altitude value h is in inches, the result that represents the value of the volume is given in cubic inches.

Over [174]3 years ago

4 0

V=36times 11/3
v=132

You might be interested in

What is this answer????

serious [3.7K]

Answer:

im pretty sure its c

Step-by-step explanation:

5 0

3 years ago

Which of the following statements are true regarding functions? Check all that apply. A.The vertical line test may be used to de

BigorU [14]

The answer o this question would be:
A.The vertical line test may be used to determine whether a function is one-to-one
D. The horizontal line test may be used to determine whether a function is one-to-one.

Vertical and horizontal line test can be used to find out whether the function, not one-to-one. The test is done by making a horizontal line (for horizontal line test) or vertical line( for vertical line test). If there are no 2 or more points of the graph that touch the line in both tests, then the function would be one-to-one

6 0

3 years ago

Read 2 more answers

A random sample of math majors taking an introductory statistics course were surveyed after completing the final exam. They were

quester [9]

Answer:

$E(X) =1 *\frac{1}{5} +2 *\frac{2}{5} +7*\frac{2}{5}= 3.8$

Now we can find the second moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =1^2 *\frac{1}{5} +2^2 *\frac{2}{5} +7^2*\frac{2}{5}= 21.4$

The variance would be given by:

$Var(X) =E(X^2) -[E(X)]^2 = 21.4 -[3.8]^2 = 6.96$

And the deviation would be:

$Sd(X) =\sqrt{6.96}= 2.638$

Step-by-step explanation:

For this case we have the following distribution given:

X 1 2 7

P(X) 1/5 2/5 2/5

We need to begin finding the mean with this formula:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) =1 *\frac{1}{5} +2 *\frac{2}{5} +7*\frac{2}{5}= 3.8$

Now we can find the second moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =1^2 *\frac{1}{5} +2^2 *\frac{2}{5} +7^2*\frac{2}{5}= 21.4$

The variance would be given by:

$Var(X) =E(X^2) -[E(X)]^2 = 21.4 -[3.8]^2 = 6.96$

And the deviation would be:

$Sd(X) =\sqrt{6.96}= 2.638$

7 0

3 years ago

If JL = 30, JK = 18, and LM = 6, then the value of LN is:

harina [27]

Answer:

LN = 15

Step-by-step explanation:

The arrows on the line segments indicate they are parallel.

$\implies \overline{KM} \parallel \overline{JN}$

Triangle Proportionality Theorem

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides proportionally.

$\textsf{If }\overline{KM} \parallel \overline{JN}, \textsf{ then }\dfrac{LK}{LJ}=\dfrac{LM}{LN}$

Given:

LM = 6
JL = 30
JK = 18

⇒ LK = JL - JK = 30 - 18 = 12

Substituting the values into the equation and solving for LN:

$\begin{aligned}\implies \dfrac{LK}{LJ} & = \dfrac{LM}{LN}\\\\\dfrac{12}{30} & = \dfrac{6}{LN}\\\\12LN & = 30 \cdot 6\\\\LN & = \dfrac{180}{12}\\\\LN & = 15\end{aligned}$

7 0

2 years ago

Read 2 more answers

Need answer asap please!!

goblinko [34]

As the triangles are similar corresponding sides are in the same ratio
So we have:_

24/6 = (30-2x) /x

4x = 30-2x
6x = 30
x = 5

3 0

3 years ago