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pashok25 [27]
3 years ago
15

How can you compare prices at two different stores by finding the constant of proportionality

Mathematics
1 answer:
dimaraw [331]3 years ago
8 0

Answer:

The constant of proportionality gives you the price per unit at each store.

Step-by-step explanation:

If you assume that the price (y) is directly proportional to the amount (x) you get, the formula is

y = kx

where k is the constant of proportionality.

k = y/x

k has the units of cost per unit, for example, dollars per ounce.

The fewer the dollars per ounce, the better the deal you are getting.

If store A offers apple sauce at $1.29 for 25 oz and Store B offers apple sauce at $2.89 for 50 oz, which is the better deal?

At store A, k = $1.29/25 oz = $0.052/oz or 5.2¢/oz

At store B, k = $2.89/50 oz = $0.058/oz or 5.8¢/oz

The apple sauce is cheaper at Store A.

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The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th
timama [110]

Answer: (0.076, 0.140)

Step-by-step explanation:

Confidence interval for population proportion (p) is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} = sample proportion.

n= sample size.

\alpha = significance level .

z_{\alpha/2} = critical z-value (Two tailed)

As per given , we have

sample size : n= 500

The number of Independents.:  x= 54

Sample proportion of Independents\hat{p}=\dfrac{x}{n}=\dfrac{54}{500}=0.108

Significance level 98% confidence level : \alpha=1-0.98=0.02

By using z-table , Critical value : z_{\alpha/2}=z_{0.01}=2.33

The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)

Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)

8 0
3 years ago
Find the common ratio of the geometrie sequence 6, 24, 96,
inessss [21]

Answer:

4

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

24/6 = 4

Check by taking the third term and dividing by the second term

96/24 = 4

The common ratio is 4

4 0
3 years ago
Pleas help me quickly !
Maksim231197 [3]

Answer:

-36

Step-by-step explanation:

-(36/-6) to the power of 2 is -36.

3 0
3 years ago
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2p-7<br>make p the subject​
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Answer:

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