Answer:
X = 70 (red)
Step-by-step explanation:
all three angles of a triangle equall 180
so 180 - (30+80) = x
180 - 110 = 70
-9(2)+4=-16 you do -9 times 2 which is -18 then you subtract that to 4 which you get -16. hope this helps!
Answer:
H0: u1 - u2 = 0
H1: u1 - u2 ≠ 0
Step-by-step explanation:
This question requires us to state the hypothesis to be used for this test to know if males and females have the same amount of substance X. I have gone further to also calculate the test statistics too.
Null hypothesis:
H0: u1 - u2 = 0
Alternative hypothesis:
H1: u1 - u2 ≠ 0
X1 = 28, sd1 = 14.1, n1 = 75
X2 = 33, sd2 = 9.5, n2 = 50
We have a 2 tailed test
Alpha = 1-0.8812
= 0.1188
Critical value = 1.56
If z<-1.56 or z>1.56
Reject null hypothesis
Test statistic
= (28-33)/14.1²/75 + 9.5²/50
= -2.37
Therefore we reject the H0 because -2.37 is less than -1.56
(2x-24)/8
the only way to simplify it is divide every number by 2
(x-12)/4=(1/4)x-3
Answer:
14 balls will be pink out of 21 balls.
Step-by-step explanation:
Given that:
2 out of every 3 balls are pink in a multi color package.
Ratio of pink balls to balls drawn = 2:3
Number of balls in package = 21 balls
Number of pink balls = x
Ratio = x:21
This is a proportional relationship
2 : 3 :: x : 21
Product of mean = Product of extreme
3x = 21*2
3x = 42
Dividing both sides by 3
Hence,
14 balls will be pink out of 21 balls.
