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KengaRu [80]
3 years ago
5

POSSIBLE POINTS 10

Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0

Answer:

Minimum: 8 Q1: 14 Median: 17.5 Q3: 30 Maximum: 32

Step-by-step explanation:

8, 9, 11, 14, 17, 23, 29,30, 32, 32

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An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the
inna [77]

Answer: 0.6812

Step-by-step explanation:

Let p be the population proportion of trees are infested by a bark beetle.

As per given: p= 12%= 0.12

Sample size : n= 1000

Number of trees affected in sample = 1000

Sample proportion of trees are infested by a bark beetle. = \hat{p}=\dfrac{127}{1000}=0.127

Now, the z-test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

So, z=\dfrac{0.127-0.12}{\sqrt{\dfrac{0.12\times 0.88}{1000}}}

z=\dfrac{0.007}{\sqrt{\dfrac{0.1056}{1000}}}\\\\\\=\dfrac{0.007}{\sqrt{0.0001056}}\\\\\\=\dfrac{0.007}{0.010276}\approx0.6812

Hence, the value of the z-test statistic = 0.6812 .

7 0
3 years ago
10.222 in a fraction
liq [111]
5111/500 or 10 111/500
8 0
3 years ago
What is the value of x?​
WINSTONCH [101]

Answer:

\large\boxed{x=8\sqrt2}

Step-by-step explanation:

\bold{METHOD\ 1}\\\\\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=8,\ leg=8,\ hypotenuse=x.\\\text{Substitute:}\\\\x^2=8^2+8^2\\\\x^2=2(8^2)\to x=\sqrt{2(8^2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt2\cdot\sqrt{8^2}\qquad\text{use}\ \sqrt{a^2}=a\\\\x=8\sqrt2

\bold{METHOD\ 2}\\(look\ at\ the\ picture)\\\\\text{We have}\ a=8.\ \text{Therefore}\ a\sqrt2=8\sqrt2

5 0
3 years ago
The sum of three consecutive numbers is equal to 123. What are the numbers?
Zina [86]

Answer:

40, 41, 42

Step-by-step explanation:

x +x+1+x+2=123

3x+3=123

3x=123-3

3x=120

x=120:3

x=40(the first number

40+1=41 (the second number

40+2=42 (the third number

4 0
3 years ago
Hey can someone help me with #17
Vinvika [58]
D. 54° as you know an external angle has to equal up to 360 

when you start plugging in 360 by 36 gives you 10
360 by 40 gives you 9
360 by 45 gives you 8
360 by 54 gives you 6.666 repeating you know that it isn't possible
you cannot have a repeating number of sides as an angle measure
that's how you get that answer

6 0
3 years ago
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