Answer: z=16
Step-by-step explanation:
Angles on a straight line add up to 180.
As AB is a straight line we can use that to help us find z.
So you would do 68+85+11=164 (I got the 11 from the angle trapped between like C and F as opposite angles are the same).
Then you would do 180-164=16
So z=16
Hope this helps :)
Here's a diagram showing how to combine angles LDA (in red) and angle ADE (in blue). Hopefully it becomes a bit clearer why these two angles add up to line segment LE. Erase the shared segment DA if it helps show LE better.
See attached image below.
Answer:
6m + 2
Step-by-step explanation:
To simplify the expression you must have to use the distributive property:
(3m + 1)(2)
2 x 3m = 6m
2 x 1 = 2
6m + 2
Answer:
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Step-by-step explanation:
The sample proportion is p2= 7/27= 0.259
and q2= 0.74
The sample size = n= 27
The population proportion = p1= 0.4
q1= 0.6
We formulate the null and alternate hypotheses that the new program is effective
H0: p2> p1 vs Ha: p2 ≤ p1
The test statistic is
z= p2- p1/√ p1q1/n
z= 0.259-0.4/ √0.4*0.6/27
z= -0.141/0.09428
z= -1.496
The significance level ∝ is 0.05
The critical region for one tailed test is z ≤ ± 1.645
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Answer:
52 32- cent stamps and 26 13-cent stamps
Step-by-step explanation:
Let x be the 32-cent stamps and y be the 13-cent stamps then...
x=2y
32x+13y=2002 (note that $20.02 is 2002 cents)
We can solve using substitution (substitute 2y for x)
32(2y)+13y=2002
64y+13y=2002
77y=2002
y=26
x=2(26)
x=52
She bought 52 32-cent stamps and 26 13-cent stamps.
