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Natasha2012 [34]
3 years ago
9

Solve (x+1<4)∩(x-8>-7)

Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0

We can rewrite the two sets as

x+11

So, the first set is composed by all numbers smaller then 3, and the second is composed by all numbers greater than 1.

The intersection of two sets is composed by all the elements appearing in both sets, so

\{x1\}

Is the set composed by all number that are less than 3 and more than 1, at the same time.

In other words, you're simply asking

\{1

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Liam works at a zoo. He was looking at some data showing the masses of their
serious [3.7K]

Median won't change, however Mean will fall by 180.

<h3>What do mean and median?</h3>

By summing all the numbers in a data collection and dividing by the total number of values in the set, one may get the mean (average) of the data set. When a data collection is sorted from least to largest, the median represents the midpoint value.

African elephants total 555 in number.

Elephants had a 3800 kg average mass.

Elephants had a 3600 kg median mass.

Lola, the elephant that was the smallest, weighed 2700 kg.

Later, Lola became really ill and lost a lot of weight, reaching a mass of 1800 kg.

What effect will Lola's weight loss have on the mean and median as well as Currently, the median is 3600 and the lowest is 2700.

now 2700 becomes 1800

so Median remains the same as 3600

No change in Median

The mean mass of the elephants was  3800 kg

=> total weight = 5 x 3800 = 19000 kg

2700 kg becomes 1800 kg

Hence new total mass = 19000 - 2700 + 1800 = 181000 kg

New Mean = 18100/5   = 3620  kg

Mean reduced by 3800 - 3620  = 180 kg

No change in Median weight

Mean reduced by 180 kg

To know more about mean and median click the link:

brainly.com/question/12528427

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4 0
1 year ago
What is the value of y?<br> 72°<br> A. 1080<br> B. 540<br> C. 36°<br> D. 720
nadya68 [22]

Answer:

B. 54

Explanation:

Take 72 from 180.

180 - 72 = 108.

Since there are two y's AND they're congruent, divide 108 by two and get 54.

3 0
3 years ago
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One garden has 5 times more raspberry bushes than another garden. After 22 bushes were transplanted from the first garden to the
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One had 55. one had 11
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According to the latest survey the mean world lifespan is 68.8 years the university of Oregon wants to see if the average life s
pishuonlain [190]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

µ = 68.8

For the alternative hypothesis,

µ ≠ 68.8

This is a two tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 26,

Degrees of freedom, df = n - 1 = 26 - 1 = 25

t = (x - µ)/(s/√n)

Where

x = sample mean = 72.8

µ = population mean = 68.8

s = samples standard deviation = 2.5

t = (72.8 - 68.8)/(2.5/√26) = 8.16

We would determine the p value using the t test calculator. It becomes

p < 0.00001

Assuming a significance level of 0.05, then

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average life span of the residence of Oregon differs from the world average.

4 0
3 years ago
Evaluate p(x) = -3 + 4x when x = -2, 0, and 5.<br><br> p(-2) =<br> p(0) =<br> p(5) =
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your answer is provided in the above image

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