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yan [13]
3 years ago
5

Last year, your store had total sales of $190,000. Because of a downturn in the economy, you expect sales to decrease by 3% this

year. What are your planned sales for next year? a) $184,300 b) $187,000 c) $190,000 d) $195,700
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0
A because if you take the 190000 and multiply it by 3% and then subtract which is 5700 and take 190000 and subtract it by 5700 it will give u the answer is 184300
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With data from the 2009 National Health Interview Survey, the Centers for Disease Control estimated that 9.4% of U.S. children h
egoroff_w [7]

Answer:

0.12 -1.96*0.013= 0.094

0.12 +1.96*0.013= 0.146

And the best option would be:

0.094 to 0.146

Step-by-step explanation:

For this case we have the following info given:

\hat p=0.12 represent the proportion estimated

SE = 0.013 represent the standard error

Confidence =0.95 represent the confidence level

The confidence interval for the true proportion is given by:

\hat p \pm z_{\alpha/2} SE

And for 95% of confidence the critical value is z_{\alpha/2}= 1.96 and replacing we got:

0.12 -1.96*0.013= 0.094

0.12 +1.96*0.013= 0.146

And the best option would be:

0.094 to 0.146

5 0
3 years ago
Working together, Jimmy and Adam can sweep a porch in 4.44 minutes. Had he done it alone it would have taken Adam eight minutes.
Hitman42 [59]

Answer:

3.16 minutes

Step-by-step explanation:

6 0
3 years ago
At a large university, the mean amount spent by students for cell phone service is $58.90 per month with a standard deviation of
zhenek [66]

Answer:

2.28% probability that the mean amount of their monthly cell phone bills is more than $60

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 58.90, \sigma = 3.64, n = 44, s = \frac{3.64}{\sqrt{44}} = 0.54875

What is the probability that the mean amount of their monthly cell phone bills is more than $60?

This is 1 subtracted by the pvalue of Z when X = 60. So

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

By the Central Limit Theorem

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

Z = \frac{60 - 58.90}{0.54875}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% probability that the mean amount of their monthly cell phone bills is more than $60

4 0
3 years ago
If m/CHF = 106°, then what is m/FHD?
densk [106]

Answer:

74 degrees

Step-by-step explanation:

The two angles in question form a straight line (180 degrees)

   180 = CHF + FHD

  180 = 106 + FHD

180 - 106 = FHD

   FHD = 74 degrees

5 0
2 years ago
Use the expression shown below.<br> 1 = (4 x 4 x 4 x 4 x 4)<br> What is the value of the expression.
jeka57 [31]

Answer:

1024

Step-by-step explanation:

5 0
2 years ago
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