Answer: 
Step-by-step explanation:
When answering a problem like this, you first isolate the absolute value. TO do this, first subtract 8 from both sides, to get –2|4–5y|=-4. Then divide both sides of the equation to get |4–5y|=2. The next thing you do is split the equation into 4-5y=2 and 4-5y=-2, because the contents of the absolute value could be negative or positive, and simplifying both into y = 2/5, and y = 6/5y.
Hope it helps <3
Answer:
C. m∠x + m∠y = 180
Step-by-step explanation:
The two straight line in the diagram intersect each other to form two pairs of vertical angles. These are <x and <z, and <y and w.
The only statement from the given options that is true is m∠x + m∠y = 180.
This is because they are angles in a straight line. The sun of angles in a straight line is 180°.
Answer:
a) .033 b) .4678 c) 100
Step-by-step explanation:
Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin
General formula for z score is given by
z=
where
- X is the miraculin produced (120,110,100)
- M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
- s is the standard deviation of the sample, which is 8.0
a)
z-score for 120 g miraculin is
=1.8375 then
P(x > 120) = P(z>1.8375) = 0.033
b)
z-score for 110 g miraculin is
= 0.5875
z-score for 100 g miraculin is
= -0,6625
P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678
c)
if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:
=-0.6625 which gives a= 100
5,175 + 9% = <span>5640.75
</span>5640.75 - 5% = <span>5302.305
</span>
Original investment = 5,175
Gain = 5,302.305
Subtract them both and get = <span>127.305</span>
Answer: -67.35%
Step-by-step explanation: