Answer:
y = -3x - 23
Step-by-step explanation:
When a transversal of the two lines is constructed, the alternate interior angles formed by the transversal are congruent. This means line m and n are parallel to each other so their slope will be the same.
Given:
line m: y = -3x + 8 <======= slope is -3
line n going through point (-4, -11) with same slope as line m:
y = mx + b
(-11) = -3(-4) + b
-11 = 12 + b
b = -23 <===== y-intercept of line n
Use the above slope and y-intercept to form equation of line n:
y = mx + b
y = -3x - 23
The value of the probability P(A and B) is 0.12
<h3>How to determine the probability?</h3>
The given parameters are
P(A) = 0.40
P(B) = 0.30
Given that the events are independent events;, we have:
P(A and B) = P(A) * P(B)
So, we have:
P(A and B) = 0.40 * 0.30
Evaluate
P(A and B) = 0.12
Hence, the value of the probability P(A and B) is 0.12
Read more about probability at
brainly.com/question/11234923
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Answer: 15 gallons are needed
Step-by-step explanation: Simplify the ratio 5:2, which is 2.5:1. Multiply 6 on both sides to get 15:6. :)
The two-way table is attached.
We know that 63 people took the survey, and 22 of them were left-handed. This means that 63-22=41 of them are right handed.
Out of the 63 total, 37 are left brain dominant; this means that 63-37=26 are right brain dominant.
Of the 26 that are right brain dominant, 21 are right handed; this means 26-21=5 are left handed.
Of the 22 left-handed people, 5 are right brain dominant; this means 22-5 = 17 are left brain dominant.
Of the 37 left brain dominant people, 17 are left handed; this means 37-17=20 are right handed.
Answer:
(look in the the Step by step)
Step-by-step explanation:
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in
The length of diagonal BD is 8 in.