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Natasha_Volkova [10]
3 years ago
13

Sole and check 5y + 7 = 14y + 7

Mathematics
2 answers:
mart [117]3 years ago
8 0
5y + 7 = 14y + 7 \\ \\ 5y = 14y  \ / \ cancel \ 7\\ \\ 5y - 14y = 0 \ / \ terms \ to \ one \ side\\ \\ -9y = 0 \ / \ simplify \\ \\ y = 0 \ / \ divide \ by \ -9 \\ \\ CHECK \\ \\ 5y + 7 = 14y + 7 \ / \ let \ y = 0 \\ \\ 5 \times 0 + 7 = 14 \times 0 + 7 \\ \\ Answer: \fbox {y = 0}
MA_775_DIABLO [31]3 years ago
7 0
5y + 7=14y+7
-5          -5
7=9y+7
-7     -7
0  9y
0/9=0 
and i dont know if its right and i dont know how to check it


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3 years ago
A researcher has developed a new drug designed to reduce blood pressure. In an experiment, 21 subjects were assigned randomly to
Paladinen [302]

Answer:

Step-by-step explanation:

Hello!

The objective of the research is to compare the newly designed drug to reduce blood pressure with the standard drug to test if the new one is more effective.

Two randomly selected groups of subjects where determined, one took the standard drug (1- Control) and the second one took the new drug (2-New)

1. Control

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n₁= 23

X[bar]= 18.52

S= 7.15

2. New

X₂: Reduction of the blood pressure of a subject that took the newly designed drug.

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X[bar]₂= 23.48

S₂= 8.01

The parameter of study is the difference between the two population means (no order is specified, I'll use New-Standard) μ₂ - μ₁

Assuming both variables have a normal distribution, there are two options to estimate the difference between the two means using a 95% CI.

1) The population variances are unknown and equal:

[(X[bar]₂-X[bar]₁)±t_{n_1+n_2-2;1-\alpha /2}*(Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2}  })]

t_{n_1+n_2-2;1-\alpha /2}= t_{23+21-2;1-0.025}= t_{42;0.975}= 2.018

Sa=\sqrt{\frac{(n_1-1)*S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{22*7.15^2+20*8.01^2}{42} }= 7.57

[23.48-18.52]±2.018*(7.57*\sqrt{\frac{1}{21} +\frac{1}{23}  })]

[0.349; 9.571]

2) The population variables are unknown and different:

Welche's approximation:

[(X[bar]₂-X[bar]₁)±t_{Dfw;1-\alpha /2}*( \sqrt{\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2} })]

Df_{w}= \frac{(\frac{S_1^2}{n_1} +\frac{S^2_2}{n_2} )^2}{\frac{(\frac{S_1^2}{n_1} )^2}{n_1-1}+ \frac{(\frac{S_2^2}{n_2} )^2}{n_2-1}  } =  \frac{(\frac{7.15^2}{23} +\frac{8.01^2_2}{21} )^2}{\frac{(\frac{7.15^2}{21} )^2}{20}+ \frac{(\frac{8.01^2}{23} )^2}{22}  } = 42.85= 42

t_{Df_w;1-\alpha /2}= t_{42; 0.975}=  2.018

[(23.48-18.52)±2.018\sqrt{\frac{7.15^2}{23} +\frac{8.01^2}{21} }]

[0.324; 9.596]

I hope this helps!

4 0
3 years ago
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aleksley [76]
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\\\\\\
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Ahat [919]
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