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Korolek [52]
3 years ago
13

six people went into the woods to look for truffles. On average they collected 7 truffles per person. The average of the last fo

ur people to come back was 8 truffles per person. In fact the fourth person to come backk had 11 treuffles in is basket. How many truffles did the last three people collect altogether?
Mathematics
1 answer:
kherson [118]3 years ago
8 0
Given the question "six people went into the woods to look for truffles. On average they collected 7 truffles per person. The average of the last four people to come back was 8 truffles per person. In fact the fourth person to come backk had 11 treuffles in is basket. How many truffles did the last three people collect altogether?" Since the average truffles collected by the six people is 7, then the total truffles collected by the six people is 6 x 7 = 42 truffles. Since the last four people that came back collected an average of 8 truffles, then the total number of truffles collected by the last four people that came back is 4 x 8 = 32 truffles. Given that the fourth person collected 11 truffles, therefore, <span>the last three people collected a total of 32 - 11 = 21 truffles.</span>
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A parachutists rate during the freefall reaches 189 km/h. What is the rate in meters per second? At this rate how many meters wi
Lera25 [3.4K]
1 km = 1000m
1 hr = 3600 s

189 km/h
189 * 1000 / 3600 m/s
189*5/18 m/s
945/18 m/s
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3 0
3 years ago
A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than
vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

H_0: p \leq 0.05

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

H_a: p > 0.05

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that \mu = 0.05, \sigma = \sqrt{0.05*0.95}

A random sample of 300 items taken from the production line contained 27 defective items.

This means that n = 300, X = \frac{27}{300} = 0.09

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}

z = 3.18

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

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3 years ago
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SVETLANKA909090 [29]

2 is your answer duuuuuuuuuuuude

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3 years ago
In which of the expressions below will x = 12.5? Select all
erma4kov [3.2K]

The answer is D

2x / 5 = 5

5 x 5 = 25

2x = 25

25/2

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4 0
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Read 2 more answers
-5 5/6 + (-8 4/5)= what show the work
djverab [1.8K]

Answer:

-13 2/3

Step-by-step explanation:

-5 5/6               5x6= 30 4x5= 20

+                                20/30= 2/3

-8 4/5

-----------      -5 + -8 = -13

-13  2/3

hope this helps

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3 years ago
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