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Burka [1]
4 years ago
5

Algebra 1 taking stock

Mathematics
1 answer:
bonufazy [111]4 years ago
6 0

Given:

36 inch long pipe

Must be cut into 21/4 inch long pieces

Required:

How many pieces to be cut

Solution:

All you need to do is to divide 36 by 21/4

Dividing this will result to 48/7 pipes or 6 and 6/7 pipes 

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A company that builds homes advertises that by choosing from its upgrade options each of its new homes is available In 256 diffe
lutik1710 [3]

Solution:

Let number of upgrade options = p

Let total number of distinct variations in which 256 new homes is available = k

So, p × p× p.....k times = 256

⇒p^k= 256

256= 2  × 2 ×2 ×2 ×2 ×2 ×2 ×2= 2^6

256= 4  ×4  ×4  × 4=4^4

So,Either, number of upgrade options = 2 ,

Or , Number of upgrade options = 4

3 0
3 years ago
I need help pls pls pls pls
nignag [31]

Answer:

9(w+8)  factor 9

Step-by-step explanation:

factor expression

9w+72  divide both side by 9

9/9w+72/9

w+8

7 0
3 years ago
Read 2 more answers
An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonet
Alexandra [31]

Answer:

The variable x will follow a geometric distribution, with mean = 3 and standard deviation = 3.46.

The values for P(x) are:

P(0)=0.25\\\\P(1)=0.1875\\\\P(2)=0.1406\\\\P(3)=0.1055\\\\P(4)=0.0791\\\\P(5)=0.0593\\\\P(6)=0.0445\\\\P(7)=0.0334\\\\P(8)=0.025\\\\P(9)=0.0188\\\\P(10)=0.0141\\\\

Step-by-step explanation:

This kind of random variables can be descripted by the geometrical distribution.

This distribution shows the probability of having an amount of "failures" before the first "success" (or the other way).

Let x be the number of trustworthy FBI agents tested until someone fails the test. The probability of failing a test is p=0.25

Then, the probability of x is:

P(x)=q^x\cdot p

The values for the first x are:

P(0)=0.75^0\cdot 0.25=0.25\\\\P(1)=0.75^1\cdot 0.25=0.1875\\\\P(2)=0.75^2\cdot 0.25=0.1406\\\\P(3)=0.75^3\cdot 0.25=0.1055\\\\P(4)=0.75^4\cdot 0.25=0.0791\\\\P(5)=0.75^5\cdot 0.25=0.0593\\\\P(6)=0.75^6\cdot 0.25=0.0445\\\\P(7)=0.75^7\cdot 0.25=0.0334\\\\P(8)=0.75^8\cdot 0.25=0.025\\\\P(9)=0.75^9\cdot 0.25=0.0188\\\\P(10)=0.75^{10}\cdot 0.25=0.0141\\\\

This probability will be descending as the the variable x increases.

The mean is:

\mu=\frac{1-p}{p}= \frac{1-0.25}{0.25}=\frac{0.75}{0.25}=3

The standard deviation is:

\sigma=\sqrt{\frac{1-p}{p^2}} =\sqrt{ \frac{0.75}{0.25^2} }=\sqrt{12}= 3.46

5 0
3 years ago
Find the slope of the line on the graph.
vovikov84 [41]

Answer:

1/2

Step-by-step explanation:

Find two points on the line

(2,0) and (4,1)

The slope is given by

m= (y2-y1)/(x2-x1)

   =(1-0)/(4-2)

   = 1/2

8 0
3 years ago
7. 30 minutes to jog 3 miles; 50 minutes to jog 5 miles
vekshin1

Answer:

What’s the question?

Step-by-step explanation:

4 0
3 years ago
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