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Phoenix [80]
3 years ago
5

The bureau of labor statistics reported the consumer price index as 211.4 in december 2007, and 231.1 in december 2012. by what

percentage did the index increase from the end of 2007 to the end of 2012 (rounded to one decimal place)?
a. 0.093%
b. 9.0%
c. 9.3%
d. 19.7%
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0

The first step to determine the percentage of increase is to compute for the difference of consumer price index in value.

231.11 (consumer price index for 2012) – 211.4 (consumer price index for 2007) = 19.71 (increase)

To compute for the percentage of increase, you need to compare the increase to the consumer price index for 2007.

19.71/211.4 = 9.3% increase

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A random sample of 625 10-ounce cans of fruit nectar is drawn from among all cans produced in a run. Prior experience has shown
diamong [38]

Answer:

10.57% probability that the mean contents of the 625 sample cans is less than 9.995 ounces.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 10, \sigma = 0.1, n = 625, s = \frac{0.1}{\sqrt{625}} = 0.004

What is the probability that the mean contents of the 625 sample cans is less than 9.995 ounces?

This is the pvalue of Z when X = 9.995. So

Z = \frac{X - \mu}{s}

Z = \frac{9.995 - 10}{0.004}

Z = -1.25

Z = -1.25 has a pvalue of 0.1057

So there is a 10.57% probability that the mean contents of the 625 sample cans is less than 9.995 ounces.

5 0
3 years ago
3х'2 - 8x - 3
Tems11 [23]

Answer:

3x+1/2x

Step-by-step explanation:

When simplifying algebraic expressions, we should first factorise each term fully to find any common factors. First we should factorise the numerator where 3x2-8x-3 factorises to (3x+1)(x-3). Next, we should factorise the denominator where 2x2-6x factorises to 2x(x-3). Now we see that (x-3) is the highest common factor of both the numerator and denominator, hence we can "cancel" the (x-3) term from both the numerator and denominator. Therefore, the expression simplifies fully to (3x+1)/(2x)

4 0
3 years ago
Please help, and show work thank you :)
frosja888 [35]

Having a $75 added cost to the total price, we can presume they will never equal. It is easy to see if you make it algebraic:

m=months\\t=total\\\\ProviderA => t = 39.95m\\ProviderB => t = 39.95m+75

They will never equal each other.

3 0
3 years ago
7. A city lot is twice as long as it is wide, If its perimeter is 480 units, what are the dimensions of the lot?
g100num [7]

Answer:

Step-by-step explanation:

P = 480

P = 2 length + 2 width

but we also know that

2width = length

so plug that into the length

P = 2(2width) + 2 width

480 = 4 width + 2 width

480 = 6 width

80 = width

160= length

see?

3 0
3 years ago
A pie chart titled Which Pet Would you Choose: Dog, Cat, or Fish question mark. 50 percent chose a dog, 25 percent chose a cat,
Galina-37 [17]

Answer:

25%

Step-by-step explanation:

It says 25% chose fish.

5 0
3 years ago
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