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liq [111]
4 years ago
10

3. Which characteristics is correct for the function f(x) = 4x5 + 8x + 2?

Mathematics
1 answer:
MrRissso [65]4 years ago
3 0

Answer:

a

Step-by-step explanation:

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Which statement is not used to prove that triangle ABC is similar to triangle ADC?
yarga [219]

Answer:

what are the statements we pick from?

Step-by-step explanation:

most likely look out for angles and lengths that go against the established ratio

6 0
2 years ago
I REALLY NEED HELP ON THIS QUICK ASAP
oksian1 [2.3K]
Is there like any image to see how big are the posts?
8 0
3 years ago
Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. Later, she realized she did not have enough plants and bou
Anni [7]

Answer: the cost of each bush is $15

the cost of each flower is $2

Step-by-step explanation:

Let x represent the cost of each bush.

Let y represent the cost of each flower.

Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. This is expressed as

12x + 30y = 240- - - - - - - - - - -1

Later, she realized she did not have enough plants and bought 7 more bushes and 10 more flowers for $125. This is expressed as

7x + 10y = 125- - - - - - - - - - -2

Multiplying equation 1 by 7 and equation 2 by 12, it becomes

84x + 210y = 1680

84x + 120y = 1500

Subtracting, it becomes

90y = 180

y = 180/90

y = 2

Substituting y = 2 into equation 1, it becomes

12x + 30 × 2 = 240

12x + 60 = 240

12x = 240 - 60 = 180

x = 180/12

x = 15

8 0
4 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
In rectangle ABCD diagonal AC is drawn. If measure angle DCA=30 degrees, find measure angle CAD?
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3 years ago
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