Write in point-slope form an equation of the line that passes through the point (3,0) with slope 23.
1 answer:
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the horizontal distance ( x direction) from A to C is 7 units and
the vertical distance ( y direction) is 5 units
Applying Pythagoras' Theorem to the right triangle
AC² = 7² + 5² = 49 + 25 = 74, hence
AC = = 8.6 units ( to 1 dec. place )
Answer:
P(25 < x < 37) = 0.77
Step-by-step explanation:
Given - If a Variable has a normal distribution with mean 30 and standard deviation 5
To find - find the probability that the variable will be between 25 and 37.
Proof -
Given that,
Mean, μ = 30
S.D, σ = 5
Now,
~ N(0,1)
Now,
P(25 < x < 37)
=
= P(1 < z < 1.4)
= P(z < 1.4) - P(z < -1)
= 0.9192 - 0.1587
= 0.7605
≈ 0.77
∴ we get
P(25 < x < 37) = 0.77