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Likurg_2 [28]
3 years ago
13

Please help me with this question!

Mathematics
1 answer:
frez [133]3 years ago
6 0
\text {Laura = }  12 \text { years } 3 \text { months }

\text {Lisa = }  11 \text { years } 7 \text { months }

\text {Deborah = }  11 \dfrac{1}{2}  \text { years } =  11 \text { years } 6 \text { months }

\text {Elizabeth = }  11 \dfrac{1}{3}  \text { years } =  11 \text { years } 4 \text { months }

-----------------------------------------------------
Find Total :
-----------------------------------------------------
\text {Total = } 12 \text { yr } 3 \text { mth } + 11 \text { yr } 7 \text { mth } + 11 \text { yr} 6 \text { mth} +11 \text { yr } 4 \text { mth}

\text {Total = } 45 \text { years } 20 \text { months }

-----------------------------------------------------
Find Average :
-----------------------------------------------------
\text {Average = } (45 \text { years } 20 \text { months }) \div 4

\text {Average = } 560 \text { months } \div 4

\text {Average = } 140 \text { months } \div 4

\text {Average = } 11 \text { years } 8 \text { months }

----------------------------------------------------------------------------------------------------------
\bf \text {Answer : Average = } 11 \text { years } 8 \text { months }
----------------------------------------------------------------------------------------------------------
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Applying properties to write equivalent expressions for 2x+5y+5(2x+5y)
levacccp [35]

Solving expression 2x+5y+5(2x+5y) we get 12x+30y

Step-by-step explanation:

We need to solve the expression:

2x+5y+5(2x+5y)

Solving:

Multiplying 5 with terms inside the bracket:

2x+5y+5(2x+5y)\\=2x+5y+10x+25y\\Combining\,\,like\,\,terms:\\=2x+10x+5y+25y\\=12x+30y

So, Solving expression 2x+5y+5(2x+5y) we get 12x+30y

Keywords: Solving Expressions

Learn more about Solving Expressions at:

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First to answer gets brainliest!
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Answer:

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Step-by-step explanation:

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Which of the following possibilities will NOT form a triangle? (5 points)
ruslelena [56]
<h3>Answer: Choice A</h3>

Side = 5 ft, side = 15 ft, side = 3 ft

Explanation:

The two sides 5 ft and 3 ft add to 5+3 = 8 ft which is not larger than the 15 ft side. This is exactly why a triangle is not possible here.

If we want a triangle to happen, then adding any two sides must be larger than the third side.

If we want a triangle with sides a,b,c, then we need the following to be true

  • a+b > c
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Refer to the triangle inequality theorem for more information.

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Read 2 more answers
A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari
guajiro [1.7K]

Answer:

a

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

b

F_{critical} = 1.8608

c

F = 2.9085

d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  n_1 = 30

 The sample variance for elementary school is  s^2_1 = 8324

 The second sample size is  n_2 = 30

  The sample variance for the secondary school is  s^2_2 = 2862

   The significance level is  \alpha = 0.05

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

Generally from the F statistics table  the critical value of \alpha = 0.05 at first and  second degree of freedom df_1 = n_1 - 1 = 30 - 1 = 29 and  df_2 = n_2 - 1 = 30 - 1 = 29 is  

         F_{critical} = 1.8608

Generally the test statistics is mathematically represented as

       F = \frac{s_1^2 }{s_2^2}

=>   F = \frac{8324 }{2862}

=>   F = 2.9085

Generally from the value obtained we see that  F >  F_{critical } Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

   

4 0
2 years ago
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