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Leviafan [203]
4 years ago
10

This question is based on the following circle graph. The graph represents the results of a survey in which 400 people were aske

d to identify the TV channel on which they preferred to watch the evening news.
 

2. How many more people preferred WWCN than WANR? A. 164 B. 76 C. 236 D. 68

Mathematics
1 answer:
gregori [183]4 years ago
5 0
First; isn't that called a pi chart? 
Second; here' your answer:
41% of 400 is the same as 41x4=164
22% of 400 is the same as 22x4=88
164-88=76 so the answer is B

Hope this helps :)

Post Script: I wasn't trying to be rude with the first thing if that's how it comes across, I was just wondering cause I live in England and we call them pi charts.
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alukav5142 [94]

Answer:

what

Step-by-step explanation:

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3 0
3 years ago
Are the graphs of the equations parallel, perpendicular, or neither?x -3y = 6 and x - 3y = 9
seraphim [82]

The equation of a line in Slope-Intercept form, is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

By definition:

- The slopes of parallel lines are equal and the y-intercepts are different.

- The slopes of perpendicular lines are opposite reciprocals.

For this case you need to rewrite the equations given in the exercise in Slope-Intercept form by solving for "y".

- Line #1:

\begin{gathered} x-3y=6 \\ -3y=-x+6 \\ y=\frac{-x}{-3}+(\frac{6}{-3}) \\  \\ y=\frac{x}{3}-2 \end{gathered}

You can identify that:

\begin{gathered} m_1=\frac{1}{3} \\  \\ b_1=-2 \end{gathered}

- Line #2:

\begin{gathered} x-3y=9​ \\ -3y=-x+9 \\ y=\frac{-x}{-3}+(\frac{9}{-3}) \\  \\ y=\frac{x}{3}-3 \end{gathered}

You can identify that:

\begin{gathered} m_2=\frac{1}{3} \\  \\ b_2=-3_{}_{} \end{gathered}

Therefore, since:

\begin{gathered} m_1=m_2 \\ b_1\ne b_2 \end{gathered}

You can conclude that: The graphs of the equation are parallel.

3 0
2 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

X₁: Reduction of the blood pressure of a subject that took the standard drug.

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.

n₂= 21

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
Brienne and 3 friends bought tickets to the movies. They spent a total of $27.00 on the tickets. Which equation represents this
Sindrei [870]
Hello!

The equation that represents this situation is A. 3t = 27.

Explanation:

This is because an equation is a "mathematical sentence" and this equation says that if you multiply the costs of the three friends' tickets, the total cost would be $27.
5 0
3 years ago
Josephine wrote the number 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that
nirvana33 [79]
22% since 100-78 is 22 so that is the percentage of numbers between 78 and 100
6 0
4 years ago
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