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shepuryov [24]
2 years ago
10

Find the value of x.

Mathematics
1 answer:
Dmitry [639]2 years ago
5 0

Answer:

25

Step-by-step explanation:

x+7 = 32 (similar triangles)

x = 25

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Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviatio
katrin2010 [14]

Answer: a)  79.10 %           b) 7%                c)19.85 %

Step-by-step explanation:

a) Z = ( × - μ ) ÷ σ           Where  μ mean of population σ standard               deviation Z is the abscissa to give the area or probability we are looking for associated to the value 10 ounces ( × )

So:  Z = ( 10 - 9 ) ÷ 1.2  ⇒ Z = 1/1.2 ⇒   Z = 0.83  it has to be below this value

From Z tables we get  P [ Z ≤ 0.82 ] = 0.7910  0r  79.10 %

b) Following the same procedure: We look for

P [ Z > ( x - μ ) ÷   σ ]    ⇒   Z  =  ( 12 -10 ) ÷ 1.2  = 2.5

From Z table we get the area under the curve from the left tail up to the point Z < 2.5 ( 2.5 not included) but we were asked for the area out of that previous so 1- 0.9930 = 0.007 is the area we are looking for

So P (b) = 0.007  or 7 %

Finally between the two points above mentioned ( 10 ≤  Z  ≤ 12 ) we use the previous values (taking in consideration the limits, according to the problem statement )

Z ≤ 10     Z ⇒( 10-9  ) ÷ 1.2   Z = 0.7967

Z ≥ 12     Z ⇒ ( 12 - 9 ) ÷ 1.2  Z = 0.9952

The interval is between these two points

0.9952 - 0.7967 = 0.1985   ⇒ or 19.85 %

The attached help in the understanding of the solution

                               

5 0
3 years ago
The sum of three consecutive numbers is 72 what are the smallest of these numbers
Airida [17]
A + b + c = 72

a = b - 1

c = b + 1

 

(b - 1) + b + (b + 1) = 72

Simplify

3b = 72

b = 24

 

a = 24 - 1

a = 23


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3 years ago
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abruzzese [7]

Answer:

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Explanation:

  • A dependent variable could be seen since the blackheads become triggered whenever some substance or material is deposited between some of the teeth.
  • Humans don't brush their teeth frequently, but there is still a significant possibility of decay, so cavities differ depending upon whether the specific teeth become brushed.
3 0
2 years ago
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Oxana [17]
It is 1.55 times the value of the second number. 
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(a) \frac{1}{4}
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