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FromTheMoon [43]
2 years ago
10

The parallelogram shown below has an area of 21 units 2. Find the missing base B=what units 

Mathematics
1 answer:
Jobisdone [24]2 years ago
8 0

Answer:

b = 3 units

Step-by-step explanation:

Area of a parallelogram = base × height

Thus,

Area = 21 units²

base = b

height = 7

Plug in the value into the formula

Thus:

21 = b × 7

Divide both sides by 7

21/7 = b

3 = b

b = 3 units

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Aaron can select between the following payment plans. Payment plan 1: aaron will get paid $10 the first week and each subsequent
Nataly_w [17]

Answer:

Payment plan 2

Step-by-step explanation:

8 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
Looking for the 2 correct answers please
Fynjy0 [20]

Answer:

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Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement, and vice versa.

  sin ∠QOP = cos ∠ROQ

  cos ∠ROQ = sin ∠QOP

8 0
2 years ago
Marie is purchasing a $108,000 home with a 30 year ortgage at 5.25%. What is her monthly principal and interest payment
schepotkina [342]

Answer:

Monthly interest rate is r=0,004375

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Step-by-step explanation:

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Use this rule : N=30*12=360

P=108000

r=0,004375

c=\frac{0.004375*108000}{1-(1+0.004375)^{-360}} =\frac{472.5}{0.8}=590,625

5 0
3 years ago
Read 2 more answers
Gaus method to collect 1-100
jolli1 [7]

Answer:

5050

Step-by-step explanation:

S=n*(n+1) / 2

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6 0
3 years ago
Read 2 more answers
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