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mixer [17]
1 year ago
6

Winnie measured the length of her father's ranch four times and got four different distances. her measurements are shown in the

table.
A. To estimate the actual length, winnie first approximated each distance to the nearest hundredth.Then she averaged the four numbers.
Using a calculator, find winnie's estimate.
.
Distance across father's ranch (km)
Square root of 60, 58/8, 7.3, 7 3/5
.
B. Winnie's father estimated the distance across his ranch to be the square root of 56 km. How does this distance compare to Winnie's estimate?
Mathematics
1 answer:
Maksim231197 [3]1 year ago
5 0

(a) winnie first approximated each distance to the nearest hundredth.

\sqrt{60} =7.75

\frac{58}{8} = 7.25

7.3 = 7.33

7\frac{3}{5} = 7.60

Now we find the average of 4 numbers

\frac{7.75+7.25+7.33+7.60}{4}= \frac{29.93}{4} = 7.4825

Winnie's estimate = 7.4825

B) Winnie's father estimated the distance across his ranch to be the square root of 56 km

\sqrt{56} = 7.48331

Winne's father estimate - Winne's estimate = 7.48331 - 7.48225= 0.00106

Winne's father estimate is 0.00106 more than winne's estimate

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The choir members need $1500, but they have $600.  Therefore, they need $1500-$600=$900 more.

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A 2-column table with 5 rows. The first column is labeled hours spent exercising with entries 2, 4, 3, 4, 5. The second column i
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second answer or B

Step-by-step explanation:

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1 year ago
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The manager of an industrial plant is planning to buy a new machine. For each day’s operation, the number of repairs X, that the
horsena [70]

Answer:  Expected value of the daily cost of operating the machine is 235.264.

Step-by-step explanation:

Since we have given that

E[x]= 0.96 repairs per day

And Var[x] = 0.96 repairs per day.

C=160+40x^2

E[c]=160+40E[x^2]\\\\E[c]=160+40(Var[x]+(E[x])^2)\\\\E[c]=160+40(0.96+0.96^2)\\\\E[c]=235.264

Hence, Expected value of the daily cost of operating the machine is 235.264.

5 0
2 years ago
A liquid dietary product implies in its advertising that use of the product for one month results in an average weight loss of a
BigorU [14]

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Please find the table in the attached file.

mean and standard deviation difference: \bar{d}=\frac{\Sigma d}{n} =\frac{-4-6-.......-4-4}{8}=-4.125 \\\\S_d=\sqrt{\frac{\Sigma (d-\bar{d})^2 }{n-1}}=\sqrt{\frac{(-4 + 4.125)^2 +.......+(-4 +4.125)^2 }{8-1}}= 1.246

For point a:

hypotheses are:

H_0 : \mu_d \geq -3\\\\H_a : \mu_d < -3\\\\

degree of freedom:

df=n-1=8-1=7

 From t table, at\alpha = 0.05, reject null hypothesis if t.

test statistic:  

t=\frac{\bar{d}-\mu_d }{\frac{s_d}{\sqrt{d}}}=\frac{ -4.125- (-3)}{\frac{1.246}{ \sqrt{8}}} =-2.55

because the t=-2.553, removing the null assumption. Data promotes a food product manufacturer's assertion with a likelihood of Type 1 error of 0.05.

For point b:

From t table, at \alpha =0.01, removing the null hypothesis if t.

because t=-2.553 >-2.908, fail to removing the null hypothesis.  

The data do not help the foodstuff producer's point with the likelihood of a .01-type mistake.

For point c:

Hypotheses are:

H_0: \mu_d \geq -5\\\\H_a: \mu_d < -5

Degree of freedom:

df=n-1=8-1=7

From t table, at \alpha =0.05, removing the null hypothesis if t.

test statistic:  t=\frac{\bar{d}-\mu_d}{\frac{s_d}{\sqrt{n}}} =\frac{-4.125-(-5)}{\frac{1.246}{\sqrt{8}}}=1.986

Since t-1.986 >-1.895, The null hypothesis fails to reject. The results do not support the packaged food producer's claim with a Type 1 error probability of 0,05.

From t table, at\alpha= 0.01, reject null hypothesis ift.

Since t=1.986>-2.998 , fail to reject null hypothesis.  

Data do not support the claim of the producer of the dietary product with the probability of Type 1 error of .01.

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A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
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Answer:

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Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of  an architect and a lawyer.

Let the average yearly salary of  an architect be x.

So, the average yearly salary of  the lawyer = 2x-24,000.

Combined, architect and lawyer earn = \$210,000.

Now, to get the average salary of the architect and lawyer:

x+(2x-24000)=210000

x+2x-24000=210000\\\\3x-24000=210000

<em>Adding both sides 24000 we get:</em>

3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.

<u>The average salary of architect = $62,000.</u>

Now, to get the average salary of lawyer by substituting the value of x:

2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.

<u>The average salary of lawyer = $100,000.</u>

Therefore, the average yearly salary of  the architect is $62,000 and the lawyer is $100,000.

4 0
2 years ago
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