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Elena-2011 [213]
3 years ago
7

If sea water contains 3.5% of salt. How much seawater do you need in order to get 17.5 lb of salt?

Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0

Answer:

500 lb

Step-by-step explanation:

Let x lb be the weight of seawater needed to get 17.5 lb of salt.

Now,

x lb - 100%

17.5 lb - 3.5%

Write a proportion:

\dfrac{x}{17.5}=\dfrac{100}{3.5}

Cross multiply:

x\cdot 3.5=100\cdot 17.5\\ \\x=\dfrac{100\cdot 17.5}{3.5}=500\ lb

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Two similar polygons have areas of 16 square inches and 64 square inches. The ratio of a pair of corresponding sides is 1/4.
Luden [163]
Your answer is A. True.

Hope this helps.


5 0
3 years ago
Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point
anygoal [31]

Complete question is;

Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games?

Two samples were randomly selected from three complete National Football League seasons (1989, 1990, and 1991). The first sample consisted of 50 games, where the favored team played in a home game, while the second sample consisted of 50 games, where the favored team played in an away game. The oddsmakers’ point spreads (which are the number of points by which the favored team is predicted to beat the weaker team) were then collected.

If µ1 and µ2 represent the mean point spread for home games and away games, respectively, which of the following is the appropriate.

A) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 < 0

B) H0: μ1 - μ2 = 0

Ha: μ1 < μ2

C) H0: μ1 - μ2 > 0

Ha: μ1 - μ2 = 0

D) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 > 0

E) None of the above

Answer:

D) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 > 0

Step-by-step explanation:

We want to find out if oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games.

Now, since µ1 and µ2 represent the mean point spread for home games and away games, respectively;

It means we want to find out if µ1 > µ2 as the alternative hypothesis.

Thus, alternative hypothesis is;

Ha: µ1 - µ2 > 0

Meanwhile null hypothesis assumes that equal point spreads are given when the favored team plays home games as well as when the favored team plays away games.

Thus, null hypothesis is;

H0: μ1 - μ2 = 0

The only correct option is D.

8 0
2 years ago
It is thought that not as many Americans buy presents to celebrate Valentine's Day anymore. A random sample of 40 Americans yiel
evablogger [386]

Answer:

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

 (0.3672 , 0.7328)

Step-by-step explanation:

<u><em>Explanation:</em></u>-

Given Random sample size n =40

Sample proportion

                            p = \frac{x}{n} = \frac{22}{40} = 0.55

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

   

          (p-Z_{\alpha } \sqrt{\frac{pq}{n} } , p + Z_{\alpha } \sqrt{\frac{pq}{n} } )

         

The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

    (0.55-2.326\sqrt{\frac{0.55 X0.45}{40} } , 0.55 + 2.326\sqrt{\frac{0.55 X0.45}{40} } )

  ( 0.55 - 0.1828 , 0.55 + 0.1828)

  (0.3672 , 0.7328)

         

6 0
3 years ago
Read 2 more answers
I need the answer quickly please
Hoochie [10]

Answer:

c²=√181=13.45, or 13.5

Step-by-step explanation:

The pythagorean theorem is a²+b²=c²

Given this, we will plug in our numbers like this: 9²+10²=c²

9²+10²=181, but we have to find the square root of that.

c²=√181=13.45, or 13.5

I hope this helps!! :)

7 0
1 year ago
Read 2 more answers
PLEASE HELP AND QUICK
3241004551 [841]
I think it is 70 but not sure
8 0
2 years ago
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