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kirza4 [7]
2 years ago
15

The formula for the volume of a pyramid is V=1/3Bh , where B is the area of the base and h is the height. Rearrange the formula

to solve for the area of the base (B).
Mathematics
1 answer:
tatyana61 [14]2 years ago
5 0
Let
B-------> the area of the base of the pyramid
h------> is the height of the pyramid
V------> volume of the pyramid

we know that
V=(1/3)*B*h
clear variable B
multiply by 3
3*V=B*h
divide by h
B=3*V/H

the answer is
B=3*V/h

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If 1 japanese yen equals 0.0079 euros, then 1 euro equals approximately how many japanese yen?
Oliga [24]
We know that

<span>applying a rule of three</span>
if <span>1 japanese yen -------------> equals 0.0079 euros
  X </span> japanese yen--------------> 1 euro
x=[1 euro]*[1 japanese yen]/[0.0079 euros]------------> 126.58 japanese yen

the answer is 
126.58 japanese yen
6 0
2 years ago
An ant begins at the top of the pictured octahedron. If the ant takes two "steps", what is the probability it ends up at the bot
Aleksandr-060686 [28]

Answer:

P_{bottom}=\frac{1}{4}=0.25

Step-by-step explanation:

Starting from the top, the ant can only take four different directions, all of them going down, every direction has a probability of 1/4. For the second step, regardless of what direction the ant walked, it has 4 directions: going back (or up), to the sides (left or right) and down. If the probability of the first step is 1/4 for each direction and once the ant has moved one step, there are 4 directions with the same probability (1/4  again), the probability of taking a specific path is the multiplication of the probability of these two steps:

P_{2steps}=\frac{1}{4}*\frac{1}{4}=\frac{1}{16}

There are only 4 roads that can take the ant to the bottom in 2 steps, each road with a probability of 1/16, adding the probability of these 4 roads:

P_{bottom}=\frac{1}{16}+\frac{1}{16}+\frac{1}{16}+\frac{1}{16}=\frac{4}{16}=\frac{1}{4}

The probability of the ant ending up at the bottom is \frac{1}{4} or 0.25.

6 0
2 years ago
A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not all
german

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the given question the numeric value is missing which is defined in the attached file please fine it.  

Calculating the probability of the distribution for x:

\to f(x) = 0.19\  for \ x=14\\\\\to  f(x) = 0.29 \ for\ x=7\\\\\to f(x) = 0.38\  for \ x=1\\\\\to f(x)=0.14 \ for \ x=0\\

The formula for calculating the mean value:

\bold{ E(X)= x \times f(x)}

          =14 \times 0.19+7 \times 0.29+1 \times 0.38+0\times 0.14\\\\=2.66 + 2.03+0.38+ 0\\\\=5.07

\bold{E(X^2) = x^2 \times f(x)}

           =14^2 \times 0.19+7^2 \times 0.29+1^2 \times 0.38+0^2 \times 0.14 \\\\=196 \times 0.19+ 49 \times 0.29+1 \times 0.38+0 \times 0.14\\\\= 37.24+ 14.21+ 0.38+0 \\\\=51.83

use formula for calculating the Variance:

\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}

                  = 51.83 - (5.07)^2\\\\= 51.83 -  25.70\\\\=26.13

calculating the value of standard deivation:

Standard Deivation (SD) = \sqrt{Variance}

                                          = \sqrt{26.13} \\\\=5.111

6 0
2 years ago
The cashier at the 76 truck stop has x dollars, all in $5 bills. what expression represents the number of $5 bills the cashier h
MaRussiya [10]

you don't list the choices but you would divide the total dollar amount by 5 to find out the number of bills there are so it should be something like :

 total bills = x/5

4 0
2 years ago
The plot of land illustrated in the accompanying diagram has a perimeter of 34 yards. Find the length, in yards, of each side of
noname [10]

Answer:

Length of x+3= 6.75

Length of 4x=15

Length of 3x-1=10,25

Step-by-step explanation:

  • First make an equation and find x x+3+3x+1+4x=34
  • Then solve for x, answer will be 3,75
  • 3,75 represents x
3 0
1 year ago
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