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stiv31 [10]
3 years ago
15

What is the cost of 1 shirt if I have 3 shirts and 2 scarves totaling $94?

Mathematics
1 answer:
Pepsi [2]3 years ago
6 0

Let x be the cost of 1 shirt and y be the cost of 1 scarf.

Since, 3 shirts and 2 scarves cost $94, we have,

3x + 2y = 94

Since the number of unknowns is greater than the number of equations (2 > 1), the above system has infinitely many solutions.

If t is the cost of 1 scarf, then

3x + 2t = 94

3x = 94 - 2t

x = \frac{94-2t}{3}

For different values for t, we will get different values for x.

Set t = 2.

Then, x = \frac{94-2(2)}{3}

= \frac{94-4}{3}

= \frac{90}{3}

= 30

So, if the cost of 1 scarf is $2, then the cost of 1 shirt is $30.


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In a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans: 48% said they were. Almost
Yuki888 [10]

Answer:

0.0259,0.0406

Step-by-step explanation:

Given that in a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans: 48% said they were. Almost five years earlier, in February 2008, only 35% of a similar-size sample had reported being baseball fans.

a) p is the proportion of national adults who are baseball fans.

b) For 2012 poll, p=0.48

Std error = \sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.48*0.52}{1006} } \\=0.0158

Margin of error at 90% = 1.645 * std error

= 0.0259

c) Margin of error is the admissible limit on either side of the mean where the sample mean can lie

d) Margin of error would be larger for 99% because critical value 2.58 >1.645

e) Margin of error 99% = 2.58*0.0157\\=0.0406

6 0
3 years ago
Drag each expression to show whether it is equivalent to 3 time times 9 or to 2x3x9​
horrorfan [7]

Answer:

The answers to your questions are given below

Step-by-step explanation:

A. 3 × 9 = 27

B. 2 × 3 × 9 = 54

Next, we shall determine which option will give the same result obtained above.

9 × 3 = 27

9 × 3 × 2 = 54

3 × (4 + 5) = 3 × 9 = 27

(2 × 3) × 9 = 6 × 9 = 54

Therefore,

3 × 9 = 27

9 × 3 = 27

3 × (4 + 5) = 27

2 × 3 × 9 = 54

9 × 3 × 2 = 54

(2 × 3) × 9 = 54

SUMMARY

3 × 9 >>>>>>>>> 2 × 3 × 9

9 × 3 >>>>>>>>> 9 × 3 × 2

3 × (4 + 5) >>>>> (2 × 3) × 9

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Step-by-step explanation:

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744/12 = 62

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