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blsea [12.9K]
3 years ago
8

PLEASE HELP ME AND THANK THIS QUESTION IS 100 POINTS

Mathematics
2 answers:
kolezko [41]3 years ago
7 0

First pic

a. ΔMNK ≅ ΔRTP

b. TR ≅ NM

c. x = 7

3x - 1 = 20

3x = 20 + 1

3x = 21

x = 21 ÷ 3

x = 7

Second pic

SAS (Side-Angle-Side congruence)

SSS (Side-Side-Side)

Hope this helps

Alborosie3 years ago
6 0

First pic

a. ΔMNK ≅ ΔRTP

b. TR ≅ NM

c. x = 7

3x - 1 = 20

3x = 20 + 1

3x = 21

x = 21 ÷ 3

x = 7

Second pic

SAS (Side-Angle-Side congruence)

SSS (Side-Side-Side)

Hope this helps

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fomenos

Answer:

Simplify the expression.

Exact Form: -352/15

Decimal Form: -23.46

Mixed Number Form: -23 7/15

Step-by-step explanation:

7 0
3 years ago
CosA×cos2A+sinA×sin2A=cos (2A-A)​
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7 0
2 years ago
Add. 4.29 + 97.2 + 0.687 =<br> 102.177<br> 140.787<br> 1,407.87<br> 1,021.77
nordsb [41]
4.29 + 97.2 + 0.687 = 102.177

In adding decimal numbers, make sure that the decimal points are aligned. Since each number has different counts of numbers after the decimal point, use 0 to pad the missing places.
    
      4.290
    97.200
   <u>   0.687
</u>  102.177

The count of numbers after the decimal point is the same count of number of the decimal who has the greatest count of number after the decimal point.

4.29 only has 2 counts of places after the decimal point
97.2 only has 1 count of place after the decimal point
0.687 has 3 counts of places after the decimal point. 

The sum of the decimals must also have 3 counts of places after the decimal point.

7 0
3 years ago
NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400
Ne4ueva [31]

Answer:

The test statistics is  t  =  -1.727

Step-by-step explanation:

From the question we are told that

The data given is  

   330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

 The population mean is  \mu  =  14400

    The  sample  size is  n =  16

  The  null hypothesis is  \mu \le  14400

    The  alternative hypothesis is  H_a  :  \mu > 14400

The sample mean is mathematically evaluated as

  \= x  =  \frac{\sum x_i}{n}

So

   \= x  =  \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}

=>  \= x = 10799.9

The  standard deviation is mathematically represented as

      \sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}}

So

\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}}  \ ..

   ..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2  }{16}} \ ...

  \ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}

=>  \sigma  =  8340

  Generally the test statistic is mathematically represented as

  t =  \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }

t  =  -1.727

From the z-table  the p-value is  

     p-value  = P(Z > t) =  P(Z >  -1.727) =  0.95792

 From the values obtained we see that

        p-value  >  \alpha  so we fail to reject the null hypothesis

Which implies that the claim of the NarStor is wrong

5 0
3 years ago
[3] Find the Social Security tax of 6.2% on $36,511.98
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Answer:

2263.74

Step-by-step explanation:

4 0
2 years ago
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