The first set of () would be 0.1 the second set would be 0.01 and the third would be 0.001
<h2>6.</h2><h3>Given</h3>
<h3>Find</h3>
- The side length of a regular pentagon whose side lengths in inches are represented by these values
<h3>Solution</h3>
Add 27 to get
... 5x = 2x + 21
... 3x = 21 . . . . . . . subtract 2x
... x = 7 . . . . . . . . . divide by 3
Then we can find the expression values to be
... 5x -27 = 2x -6 = 5·7 -27 = 2·7 -6 = 8
The side of the pentagon is 8 inches.
<h2>8.</h2><h3>Given</h3>
- a rectangle's width is 17 inches
- that rectangle's perimeter is 102 inches
<h3>Find</h3>
- the length of the rectangle
<h3>Solution</h3>
Where P, L, and W represent the perimeter, length, and width of a rectangle, respectively, the relation between them is ...
.... P = 2(L+W)
We can divide by 2 and subtract W to find L
... P/2 = L +W
... P/2 -W = L
And we can fill in the given values for perimeter and width ...
... 102/2 -17 = L = 34
The length of the rectangle is 34 inches.
3x-y = -6
-y = -3x - 6
y = 3x + 6
5 + 3(4)
5+ 12
17
I hope that helps!
Answer:
a) 0.2588
b) 0.044015
c) 0.12609
Step-by-step explanation:
Using the TI-84 PLUS calculator
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question, we know that:
μ = 119 inches
standard deviation σ = 17 inches
(a) What proportion of trees are more than 130 inches tall?
x = 130 inches
z = (130-119)/17
= 0.64706
Probabilty value from Z-Table:
P(x<130) = 0.7412
P(x>130) = 1 - P(x<130) = 0.2588
(b) What proportion of trees are less than 90 inches tall?
x = 90 inches
z = (90-119)/17
=-1.70588
Probability value from Z-Table:
P(x<90) = 0.044015
(c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall?
For x = 95
z = (95-119)/17
= -1.41176
Probability value from Z-Table:
P(x = 95) = 0.07901
For x = 105
z = (105 -119)/17
=-0.82353
Probability value from Z-Table:
P(x<105) = 0.2051
The probability that a randomly chosen tree is between 95 and 105 inches tall
P(x = 105) - P(x = 95)
0.2051 - 0.07901
= 0.12609