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inna [77]
3 years ago
13

What is the step method to find gcf of 28 and 42

Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0
First, try multiplying multiple numbers to see if you get these numbers.
2=4,6,8,10,12,14,16,18,20,22,24,26,(28),30,32,34,36,38,40,(42)
7=7,14,21,(28),35,(42)
14= 14,(28),(42)
14, would be best; Alternatively, the GCF of 28 and 42 can be found using the prime factorization of 28 and 42.
<span>-The factors of 28 are 28, 14, 7, 4, 2, 1.<span>
-The factors of 42 are 42, 21, 14, 7, 6, 3, 2, 1.
Common numbers: 1 , 2, 7,14 , the largest number that can go into both is 14.
</span></span>
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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
Simplify: √8x^5+ x√18x^3<br>÷x^2√50x​
Sergeu [11.5K]

Answer:

10x^2 √2x

Step-by-step explanation:

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7 0
2 years ago
What is the slope of the line in the graph?
ladessa [460]
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8 0
3 years ago
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Find the next number in the pattern: 3 5 11 6 7 5 14 8 12 ? Explain why
stepan [7]

Answer:

5–3 = 2

8–5 = 3

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17–12 = 5

x-17 should be 6, hence x = 6+17 = 23.

Step-by-step explanation:

7 0
3 years ago
Which ordered pairs make the open sentence true? 3x+y&lt;14 Select all the correct answers. (7, −7) (−1, 6) (3, 6) (4, −1) (6, 0
Jet001 [13]

Answer:

(4, - 1)

(-1, 6)

Step-by-step explanation:

Given the expression :

3x+y<14

Test the opprions to find out the true statement.

(7, - 7)

3(7) + (-7) < 14

21 - 7 < 14

15 < 14 (not true)

(-1, 6)

3(-1) + 6 < 14

3 + 6 < 14

9 < 14 ( true)

(3, 6)

3(3) + 6 < 14

9 + 6 < 14 ( not true)

(4, - 1)

3(4) - 1 < 14

12 - 1 < 14 ( true)

(6,0)

3(6) + 0 < 14

18 < 14 ( not true)

4 0
2 years ago
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