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2 years ago

6

There are 20 pieces of fruit in a basket and 12 of them are oranges . what percentage of the pieces of fruit in the basket are o

ranges

1 answer:

natima [27]2 years ago

7 0

Answer:

60% or 0.6

Step-by-step explanation:

Divide 12 by 20

12/20 = 0.6

Conversion to percentage

0.6 * 100 = 60%

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It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute

NemiM [27]

Answer:

a) 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

b) 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

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.

Mildly obese

Normally distributed with mean 373 minutes and standard deviation 67 minutes. So $\mu = 373, \sigma = 67$

A) What is the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes?

So $n = 5, s = \frac{67}{\sqrt{5}} = 29.96$

This probability is 1 subtracted by the pvalue of Z when X = 410.

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

$Z = \frac{410 - 373}{29.96}$

$Z = 1.23$

$Z = 1.23$ has a pvalue of 0.8907.

So there is a 1-0.8907 = 0.1093 = 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

Lean

Normally distributed with mean 526 minutes and standard deviation 107 minutes. So $\mu = 526, \sigma = 107$

B) What is the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes?

So $n = 5, s = \frac{107}{\sqrt{5}} = 47.86$

This probability is 1 subtracted by the pvalue of Z when X = 410.

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

$Z = \frac{410 - 526}{47.86}$

$Z = -2.42$

$Z = -2.42$ has a pvalue of 0.0078.

So there is a 1-0.0078 = 0.9922 = 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

7 0

3 years ago

Tickets at a school play cost $4 in advance or $5 at the door. Total ticket sales for an evening production were $440. If no tic

lisov135 [29]

5x=440
×=the number of tickets sold

then you woukd just divide 440÷5=88
88 tickets were sold at the door

4 0

3 years ago

Read 2 more answers

The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April,

SSSSS [86.1K]

Answer:

Step-by-step explanation:

a) H0: $\bar x = 24.57$

Ha: $\bar x \neq 24.57$

(Two tailed test at 5% significance level)

b) n=30

Mean difference = $23.89-24.57 = - 0.68$

Std error of mean = $\frac{s}{\sqrt{n} } \\=\frac{2.40}{\sqrt{30} } \\=0.4382$

b) Test statistic t = mean diff/std error = -1.552

df = 30-1 =29

p value=0.0657

c) Since p > 0.05 our signi. level, we accept null hypothesis.

There is no significant difference between the means.

d) Using critical value we find that test statistic is > critical value left

So accept H0

8 0

3 years ago

Please help! Due very soon!

Arada [10]

Answer:

9

6

3

3

6

3

3

multiply

row

18

32

Step-by-step explanation:

The answer to each blank, in order from top to bottom

8 0

3 years ago

Tom used twenty gallons of water to

oksano4ka [1.4K]

Answer:

y=20x + 40x

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers