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Ulleksa [173]
3 years ago
5

The surface area "S" of a sphere of radius ris given by the forma

Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0
The answer is 314.16
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How do I solve this
nexus9112 [7]

the formula is

measure \:  of arc/360× \: \pi {r}^{2}

7 0
3 years ago
= table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.
denpristay [2]

Answer:

A. Slope is -12 feet per second

B. Yes, it is constant.

<u>Skills needed: Linear Equations, Substitution and Division</u>

Step-by-step explanation:

1) Solving Part A (we need to find the slope):

  • The slope is \frac{y_2-y_1}{x_2-x_1} --> y_1, y_2, x_1, and x_2 are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.

2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:

- \frac{y_2-y_1}{x_2-x_1} ==> \frac{1090-1150}{10-5} ==> 1090-1150=-60, 10-5=5 ==> \frac{-60}{5}

\frac{-60}{5} =-12, so the slope is -12.

==================================================================

1) Part B (analysis)

We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.

8 0
2 years ago
In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax
Nikolay [14]

Answer:

a

 

   The  null hypothesis is  H_o  :  p =  0.75

  The  alternative  hypothesis is  H_a  :  p \ne  0.75

b

   t = 2.51

c

   p-value  =  0.01207

d

 There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

Step-by-step explanation:

From the question we are told that

    The  sample  size is  n  =  745

     The  number that said it is morally wrong is  k  =  589

       The  level of significance is  \alpha =  0.01

        The population proportion is p  =  0.75

Generally the sample  proportion is mathematically represented as

        \r p  =  \frac{k}{n}

=>     \r p  =  \frac{589}{745}

=>     \r p  =  0.79

 The  null hypothesis is  H_o  :  p =  0.75

  The  alternative  hypothesis is  H_a  :  p \ne  0.75

The  standard error is mathematically represented as

     SE =  \sqrt{\frac{p(1-p)}{n} }

=>    SE =  \sqrt{\frac{0.75(1-0.75)}{745} }

=>    SE  =0.0159

Generally the test statistics is mathematically represented as

      t =  \frac{\r p - p }{SE}

=>   t =  \frac{0.79 - 0.75 }{0.0159}

=>    t = 2.51

Generally the p-value is  mathematically represented as

        p-value  =  2 * P(Z >  2.51)

From the the z-table  

            P(Z >  2.51) = 0.0060366

=>   p-value  =  2 * 0.0060366

=>   p-value  =  0.01207

From the calculation  p-value >\alpha

    Hence we fail to reject the null hypothesis

Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

     

7 0
3 years ago
Please quickly answers thus
Margaret [11]

Answer:

i believe it's c. im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

5 0
3 years ago
W(h) =12h is wages earned for h hours at $12 per hour. What does W(30) = 360 mean?
Ann [662]
It would be d. none of the above

this would mean $360 earned in 30 hours
3 0
2 years ago
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