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seropon [69]
3 years ago
5

Deshaun needs to memorize words on a vocabulary list for Russian class. He has memorized 6 of the words, which is two-thirds of

the list. How many words are on the list?
Mathematics
1 answer:
Contact [7]3 years ago
5 0
9 words are on the list. 
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A study is done to find the 95% confidence interval for the difference in means between the ACT scores between two schools in a
Kitty [74]

Solution :

95% confidence interval for the difference between the means of ACT scores between two schools, is given by :

$[(\overline X_1 - \overline X_2)-ME, (\overline X_1 - \overline X_2)+ME]$

$\overline X_1 = 25.90 ,  \ \ \ \overline X_2 = 27.70$

$S_1=3.49, \ \ \ S_2 = 2.47$

$n_1=39, \ \  n_2=37$

M.E. , Margin of error,

$=t_{n_1+n_2-2,0.025} \times \left( s \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$

$s^2 = \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}$

  $=\frac{38(3.49)^2+36(2.47)^2}{39+37-2}$

 = 9.222

s = 3.03

$t_{74,0.05} = 1.99$

$M.E. = 1.99 \times 3.03 \times \sqrt{\frac{1}{39}+\frac{1}{37}}$

        = 1.4

Therefore, 95% CI = [(25.90-27.70) - 1.4 , (25.90-27.70) + 1.4]

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Therefore, the lower bound is -3.2

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Answer:

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Svetllana [295]

Answer:

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Step-by-step explanation:

The distance between two points can be expressed in formula of:

\displaystyle{d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}

Determine:

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Therefore, substitute in the formula to find distance:

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Therefore, the distance between two points is 5.0 units.

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