Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Mean (m) = 266 days
Standard deviation (s) = 16 days
A.) p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = - 1.96 (Z probability calculator)
x - 266 = - 31.36
x = - 31.36 + 266
x = 234.64
B.)
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = - 1.96 (Z probability calculator)
x - 266 = - 31.36
x = - 31.36 + 266
x = 234.64
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = 1.96 (Z probability calculator)
x - 266 = 31.36
x = 31.36 + 266
x = 297.36
Hence,
234.64 < x <297.36
C.)
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = 1.96 (Z probability calculator)
x - 266 = 31.36
x = 31.36 + 266
x = 297.36
Answer:
Step-by-step explanation:
- Rectangle has properties:
- Diagonals are congruent
- Opposite sides are congruent
- All angles are right
<h3>Given</h3>
- m∠ABD = 30°
- AC = 16 in
- BC = ?
<h3>Solution</h3>
<u>As per properties mentioned above we have:</u>
ΔABD is right triangle with ∠B - 30°, ∠A- 90°, ∠D - 60°
Side opposite to 30 is half of the length of the hypotenuse
<u>AD is opposite to ∠B and BD is the hypotenuse, then:</u>
- AD = 1/2*BD
- AD = 1/2(16)
- AD = 8 in
and
The equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through the point (4, 8) and has a slope of -2.
On comparing the standard equation:
y = mx + c
Here m is the slope of the line and c is the y-intercept.
m = -2
y = -2x + c
Plug x = 4 and y = 8
8 = -2(4) + c
c = 16
y = -2x + 16
Thus, the equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
Learn more about the linear equation here:
brainly.com/question/11897796
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It would be nonsense, as if the beetle were at normal size, then it would be considered 1/1 as a scale. If you wanted to increase it, you would increase the numerator.
Answer:2881
Step-by-step explanation:
