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Marina CMI [18]
3 years ago
13

Freddy is 4 years older than 8 times his grandson's age. The sum of their ages is greater than 67.

Mathematics
2 answers:
mihalych1998 [28]3 years ago
6 0
<span>he's at least 8.
im pretty sure</span>
Juliette [100K]3 years ago
4 0
I believe Freddy could be 5.
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Suppose that 48% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
katovenus [111]
12/25 chance that they both own a dog
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
Roberto has 26% of
antiseptic1488 [7]

Answer:

407 Dollars

Step-by-step explanation:

550 x 0.26 = 143 dollars that he keeps, now we do 550 - 143 = 407, that gets withheld

7 0
3 years ago
Find the sample standard deviation:
zlopas [31]

Answer:

<h2>B. 7.1</h2>

Step-by-step explanation:

Given the sample data 2 6 15 9 11 22 1 4 8 19, before we can get the standard deviation, we need to first calculate the mean.

mean = 2 +6 +15 +9 +11 +22 +1 +4 +8 +19/10

mean = 97/10

mean = 9.7

Standard deviation for ungrouped data is expressed using the formula;

S = \sqrt{ \dfrac{\sum(x-\overline x)^2}{n-1} }

\overline x \ is\ the \ mean\\n \ is \ sample \ size

S = \sqrt{\frac{(2-9.7)^2+(6-9.7)^2+(15-9.7)^2+(9-9.7)^2+(11-9.7)^2+(22-9.7)^2+(1-9.7)^2+(4-9.7)^2+(8-9.7)^2+(19-9.7)^2}{10-1} }\\ S = \sqrt{\frac{(-7.7)^2+(-3.7)^2+(5.3)^2+(-0.7)^2+(1.3)^2+(12.3)^2+(-8.7)^2+(-5.7)^2+(-1.7)^2+(9.3)^2}{10-1} }\\\\S =  \sqrt{\dfrac{59.29+13.69+28.09+0.49+1.69+151.29+75.69+32.49+2.89+86.49}{10-1} }\\\\\\S =  \sqrt{\dfrac{452.1}{9} }\\\\S = \sqrt{50.23}\\ \\S = 7.08\\\\S \approx 7.1

<em>Hence the standard deviation of the sample data is 7.1</em>

7 0
3 years ago
Why did Spain help the Americans in the Revolutionary War?
Xelga [282]

Answer:

driven by a desire to regain the land it had lost to Britain

Step-by-step explanation:

Spain's motivation to help the American colonists was driven by a desire to regain the land it had lost to Britain and, with other European powers, make incremental gains against British possessions in other parts of the world.

3 0
2 years ago
Read 2 more answers
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