Answer:
Therefore the correct option is a.) The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 catfish in the river.
Step-by-step explanation:
i) Let p = 0.47
ii) therefore q = 1 - 0.47 = 0.53
iii) sample size, n =25
iii) standard deviation = 
Therefore the correct option is
a.) The standard deviation is 0.0998. The 10% condition is met because it
is very likely there are more than 250 catfish in the river.
Measure of angle 5 i.e. m∠5 = 50°
<h3>
What is measurement of an angle ?</h3>
The measurement of angle is the degree of that angle or we can also say that the angles are always measured in degree. In geometry, the complete one revolution of four quadrants is of 360 degrees (360°) and divided into total of 360 parts where each part of this represents a degree.
<h3>
How to find angle measurement ?</h3>
As stated above there are total 360 parts in one revolution thus thus we can find value of particular angle by subtracting the angle from 360 or 180 for a straight line.
In the question,
Let given angle is ∠8.
Given, ∠8 = 50°
Now, according to vertical angle property
∠5 = ∠8
therefore, ∠5 = 50°
Thus, m∠5 = 50°
To know more about measurement of angle, visit :
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The complete question is :
Find measure m∠5
The answer is b since it does not touch the origin! (0,0)
Answer:
Clem's Height =38 Inches
Clyde's Height= 53 Inches
Chloe's Height = 47 Inches
Step-by-step explanation:
Let Clem's height be x, Clyde's height be y and Chloe's height be z
As given
x+y+z=11 feet 6 inches
As 1 Foot= 12 Inches so (11*12+6)=138
x+y+z= 138 inches (Equation 1)
Clem is 15 inches shorter than Clyde so:
x+15=y (Equation 2)
Clyde is 6 inches taller than Chloe
z=y-6 (Equation 3)
Putting z's value from equation 3 in equation 1
x+y+y-6=138
x+2y=138+6
x+2y=144 (Equation 4)
Putting Value of y from equation 1 in equation 4
x+2(x+15)=144
x+2x+30=144
3x=144-30
x=114/3
x=38
Putting x's value in equation 1 to get the value of y
38+15=y
y=53
Putting value of y in equation 3
z=53-6
z=47
Checking by putting values of x,y,z in equation 1 to see whether all heights equal 138 inches or not
38+53+47=138
138=138
Answer:
b < -2
Step-by-step explanation:
-5 - b < 3
-5 - b + -5 < 3 + -5
b < -2