Answer:
The size of side x can range from 0.5 < x < 16.5.
The size of side x cannot take on values 0 and 16.5, but it ranges between those two values for side x to complete a triangle with those two other sides.
Step-by-step explanation:
Complete Question
What is the range of possible sizes for side x? One Side is 8.5 the other is 8.0.
Solution
With the logical assumption that the three sides are to form a triangle
Let the two sides given be y and z
And the angle between y and z be θ
The angle θ can take on values from 0° to 180° without reaching either values.
As θ approaches 0°, (x+z) becomes close to equaling y. (x + z) < y
It can never equal y, because θ can never be equal to 0°, if a triangle is to exist.
Hence, x > (z−y)
x > 8.5 - 8.0
x > 0.5
As θ approaches 180°, x approaches the sum y+z, θ can never equal 180° if a triangle is to exist, so x never equals (y+z).
Hence x < (y+z)
x < 8 + 8.5
x < 16.5
Hope this Helps!!!
Answer:
<em>The percentage of males are not at least 172 pounds</em>
P(X⁻ ≥ 172) = 0.26
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that 74% of 19 -year -old males are at least 172 pounds
Let 'X' be a random variable in a binomial distribution
P( X≥172) = 74% = 0.74
<em>we have to find that the percentage of males are not at least 172 pounds</em>
<u><em>Step(ii):-</em></u>
<em>The probability of males are not at least 172 pounds</em>
P(X⁻≥172) = 1- P( X≥172)
= 1- 0.74
<em> = 0.26</em>
<u><em>Final answer:-</em></u>
<em>The percentage of males are not at least 172 pounds</em>
P(X⁻ ≥ 172) = 0.26
<u><em></em></u>
Answer:
100% means like everything, the total
Step-by-step explanation:
percent is like "out of a hundred"
so 100/100
is everything
The total
Answer:
y=(1/4)x + 9 OR y=x/4 +9
Step-by-step explanation:
Perpendicular lines have a slope/gradient of -1/n
Because the slope of this line is -4, the slope of a line perpendicular to it would be 1/4.
y=(1/4)x+b
(0,9) is the y-intercept, so b = 9
y=(1/4)x + 9 OR y=x/4 +9
