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vladimir2022 [97]
3 years ago
13

Ellus Find the measure of 41. { 839 61 { « 1 = [?]

Mathematics
2 answers:
inn [45]3 years ago
8 0

ANSWER:

We know that the sum of angles of same sides in parallel lines are supplementary(180°).

So, ∠1 + 83° = 180°

  • ∠1 = 180° - 83°
  • ∠1 = 97°.
devlian [24]3 years ago
3 0

Answer:

180 - 83 = 97°

Step-by-step explanation:

Supplementary angles and Corresponding angles

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Solve for x<br> 6.58-8.36x=3.98x-27.33<br> Round to nearest hundred
ololo11 [35]

Answer:

6.58-8.36x=3.98x-27.33

Collecting like terms

6.58+27.33=3.98x+8.36x

33.91=12.34x

33.91/12.34=12.34/12.34

x=2.75

7 0
3 years ago
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Need Answer Fast). The solution to a problem is an irrational number. which statement is true about the solution? ​Will Mark Bra
babymother [125]

Step-by-step explanation:

There is no option to choose from, but the knowledge of what irrational numbers are, would help cover this cost.

A rational number is a number that can be written as a simple fraction, a/b. Examples are 1/2, 5/6,...

If a number cannot be written as a simple fraction, then it is called irrational.

Example of irrational numbers: √2, π

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2 years ago
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The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w
Marat540 [252]

Answer:

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is  

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

   The first  sample size is n_1   =  252

    The number that tested positive is  k_1  =  18

     The second sample size is  n_2   =  476

     The number that  tested positive is  k_2 =  20

     The level of significance is  \alpha  = 0.01

Generally the first sample proportion is mathematically represented as

      \^ p _1 =  \frac{k_1 }{ n_1 }

=>    \^ p _1 =  \frac{18 }{ 252 }

=>    \^ p _1 = 0.071

Generally the second sample proportion is mathematically represented as

      \^ p _2 =  \frac{k_2 }{ n_2 }

=>    \^ p _2 =  \frac{20 }{ 476}

=>    \^ p _2 = 0.042

The  null hypothesis is            H_o  :  p_1 - p_2 = 0

The alternative hypothesis is  H_a :  p_1 - p_2 \ne 0

Generally the test statistics is mathematically represented

       z =  \frac{ \^ p_1 - \^ p_2  -  ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1  } + \frac{\^ p_2 (1-\^ p_2)}{ n_2  }  } }

=>    z =  \frac{ 0.071 - 0.042  - 0 }{ \sqrt{\frac{0.071  (1-0.071)}{  252  } + \frac{0.042 (1-\^ 0.042)}{ 476  }  } }

=>    z =  1.56

From the z table  the area under the normal curve to the right corresponding to  1.56   is  

        P(Z >  1.56 ) =0.05938

Generally the p-value is mathematically represented as

         p-value =  2 * P(Z >  1.56 )

=>      p-value = 2 *  0.05938

=>      p-value = 0.1188

From the value obtained we see that   p-value  >  \alpha hence

  The decision rule is  

Fail to reject the null hypothesis

  The conclusion is  

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

 

5 0
2 years ago
There are 4 red marbles and 8 green marbles in a box. If Emma randomly selects a marble from the box, what is the probability of
murzikaleks [220]

Answer:

The probability of a successful event is the ratio of the number of successful events to the total number of events. In this case, a successful event is selecting a red marble from the box. The total number of events is the total number of marbles in the box:

Red marbles/Total number of marbles

4/12 divide

=1/3

3 0
3 years ago
Solve 5 |x + 3| – 12 &lt; 13.
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Answer:

x<2 and x> -8

Step-by-step explanation:

8 0
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