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mestny [16]
3 years ago
15

At a local election there were two propositions on the ballot, R and S. Twice as many voters voted "yes" for R as for S. If the

number who voted "yes" for R but "no" for S was 750 and the number who voted "yes" for S but "no" for R was 310, how many voted "yes" for both propositions?a. 122b. 127c. 130d. 135
Mathematics
1 answer:
Over [174]3 years ago
7 0

Answer:

c. 130

Step-by-step explanation:

Let call B the quantity of voters who voted yes for both propositions.

From the question we know that twice as many voters voted "yes" for R as for S, that can be written as the following equation:

R+B=2(S+B)

Where R is the number who voted "yes" for R but "no2 for S and S is the number who voted "yes" for S but "no" for R.

Replacing R by 750 and S by 310 and solving for B, we get:

750+B=2(310+B)

750+B=620+2B

2B-B=750-620

B=130

So, 130 voters voted yes for both propositions

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If a graph passes the horizontal line test, but not the vertical line test, is it still a function?
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If a graph fails the vertical line test it's not a function; you can't have a single x map to two ys.

Vice versa, if the graph passes the verticle line test, it's a function.  

The horizontal line test tests for injectivity aka one-to-one-ness; it has no bearing on whether something's a function.

8 0
3 years ago
A meteorologist who sampled 4 thunderstorms found that the average speed at which they traveled across a certain state was 16 mi
DENIUS [597]

Answer:

The  90 % confidence  interval  for the mean population is (11.176  ; 20.824 )

Rounding to at least two decimal places would give 11.18 , 20.83

Step-by-step explanation:

Mean = x`= 16 miles per hour

standard deviation =s= 4.1 miles per hour

n= 4

\frac{s}{\sqrt n}  =  4.1/√4= 4.1/2= 2.05

1-α= 0.9

degrees of freedom =n-1=  df= 3

∈ ( estimator  t with 90 % and df= 3 from t - table ) 2.353

Using Students' t - test

x`±∈ * \frac{s}{\sqrt n}

Putting values

16 ± 2.353 * 2.05

= 16 + 4.82365

20.824  ;        11.176

The  90 % confidence  interval  for the mean population is (11.176  ; 20.824 )

Rounding to at least two decimal places would give 11.18 , 20.83

4 0
3 years ago
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kvasek [131]
1/2 of 40= 20

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28 of your CDs will not work properly.

I hope this helps!
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dybincka [34]

Answer:

-20/7

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3 years ago
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