Answer:
The value is
Step-by-step explanation:
From the question we are told that
The null hypothesis is 
The level of significance is 
From the z table the critical value of
considering the two tails of the normal curve( This is because this a two tailed test ) is

Hence the critical value is
Answer:
C) 0.179
Step-by-step explanation:
Since the trials are independent, this is a binomial distribution:
<u>Recall:</u>
- Binomial Distribution -->
denotes the probability of
successes in
independent trials
denotes the probability of success on each of
trials
denotes the probability of failure on the remaining
trials
denotes all possible ways to choose
things out of
things
<u>Given:</u>
<u>Calculate:</u>
Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179
Yes it'll tessellate because if you notice the squares are only on the flat side of the hexagon and the triangles are on the corners
Answer:
x= 2
Step-by-step explanation:
so expand the left side of the equation
9x+9= 25+x
and then group like terms( subtract 9 from both sides and also do same with x.
9x-x= 25-9
8x= 16
divide by 8 on both sides.
x=2
Answer: 11 party bags with 1 sticker leftover
Each bag contains 4 bubbles, 8 stickers, and 5 pencils.
<u>Step-by-step explanation:</u>
Find the GCF of 44 (bubbles), 89 (stickers), and 55 (pencils)
44: 2 x 2 x <u>11</u>
89: prime so choose 88 with 1 leftover
88: 2 x 2 x 2 x <u>11</u>
55: 5 x <u>11</u>
GCF = 11
Disregard the GCF to see how many of that item should go in each bag.
Bubbles: 2 x 2
Stickers: 2 x 2 x 2
Pencils: 5