Answer:
The final angle is 124°
Step-by-step explanation:
1. Getting the total sum of all angles:
The general rule to get the sum of all interior angles is as follows:
sum of interior angles = (n-2)*180
where n is the number of sides
We know that a heptagon has 7 sides, therefore:
sum of interior angles of a heptagon = (7-2)*180 = 5 * 180 = 900°
2. Getting the missing angle:
We know that the total sum of all 7 angles is 900°
We also know that the sum of 6 of those angles = 776°
This means that:
measure of the last angle = 900 - 776
measure of last angle = 124°
The final angle is 124°
Hope this helps :)
The equation makes no sense.
Answer and Step-by-step explanation:
First of all lets define
X to be that the bags do contain large liquid amounts
+ to be that the test is not negative that is positive
From the question,
P(x) = 3/100 = 0.03
P(+|X) = 0.91
P(+|X′) = 0.05
Probability of bag having a positive test =p(+)
= P(+|X) (P(x)) + P(+|X′)(P(X′))
= P(X′)) = 1 – 0.03 = 0.97
Inserting these values into these formulas
0.91)(0,03) + (0.05)(0.97)
= 0.0273 + 0.0485
= 0.0758
The probability of the randomly selected bag having large liqid amount
= P(X|+) = (0.91*0.03)/(0.91*0.03)(0.05*0.97)
= 0.0273/0.0273+0.0485
= 0.0273/0.0758
= 0.3602
the probability that this bag does not have large liquid amount
= p(X'|+) = 1 - P(X|+)
= 1 - 0.3602
= 0.6398
Which equation has infinitely many solutions? a 12 + 4x = 6x + 10 - 2x
b 5x + 14 - 4x = 23 + x-9 c
c X + 9 -0.8x = 5.2x + 17-8
d 4x-2x = 20
