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aliina [53]
3 years ago
11

Order the following numbers from least to greatest.

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

Answer:

-5.5  -\sqrt{20}  \sqrt4  \frac{22}{7}  4.5

Step-by-step explanation:

Given:

The numbers to order from least to greatest is given as:

-5.5, 4.5, 22/7,\sqrt4,-\sqrt{20}

In order to compare these numbers, we have to convert them in same form.

Let us simplify each number in decimal form.

-5.5 = -5.5\\\\4.5=4.5\\\\\frac{22}{7}=3.14\\\\\sqrt4=2\\\\-\sqrt{20}=-\sqrt{5\times 2^2}=-2\sqrt5=-4.47

So, the least number is one which has the largest value with a negative sign.

Here, -5.5 is the least number.

The next smallest number is -4.47. So, -\sqrt{20}

The next smallest number is 2. So, \sqrt4

The next smallest number is 3.14. So, \frac{22}{7}

The greatest number is 4.5.

Therefore, the order from the least to greatest is:

-5.5 < -\sqrt{20} < \sqrt4 < \frac{22}{7} < 4.5

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Suppose GRE Verbal scores are normally distributed with a mean of 461 and a standard deviation of 118. A university plans to rec
nirvana33 [79]

Answer:

The minimum score required for recruitment is 668.

Step-by-step explanation:

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 = 461 \sigma = 118

Top 4%

A university plans to recruit students whose scores are in the top 4%. What is the minimum score required for recruitment?

Value of X when Z has a pvalue of 1-0.04 = 0.96. So it is X when Z = 1.75.

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

1.75 = \frac{X - 461}{118}

X - 461 = 1.75*118

X = 667.5

Rounded to the nearest whole number, 668

The minimum score required for recruitment is 668.

8 0
3 years ago
(3x - 2)³= <br>gives the solution pls.​
Nonamiya [84]

Answer:

27x^3 - 54x^2 + 36x - 8

Step-by-step explanation:

(3x - 2)^3

= (3x - 2) (3x - 2) (3x - 2)

= 27x^3 - 54x^2 + 36x - 8

Hope this helps :)

Let me know if there are any mistakes!!

5 0
3 years ago
Read 2 more answers
F(x)=x^2-5 and g(x)=3x+1 then f(g(2))
LuckyWell [14K]

Answer:

f(g(2)) = 44

Step-by-step explanation:

g(2) = 3(2) + 1 = 7

Plug 7 into f(x) since g(2) = 7

f(7) = 7² - 5 = 44

f(g(2)) = 44

8 0
3 years ago
(-0.2)(0.4 I don’t know how to do this question
Zepler [3.9K]

Answer:

-0.08

Step-by-step explanation:

Multiply.

-0.2

x 0.4

_____

0 0 8

Each number you started out with has 1 space between the last number and the decimal, so your final answer will have 2 spaces.

Also, since you multiplied a negative and a positive, your final answer will be negative.

6 0
3 years ago
The length of a rectangle is 5 cm more than twice the width. The perimeter of the rectangle is 33 cm. Find the dimensions of the
tatiyna
2w+2(5+2w)=33
2w+10+4w=33
6w=22
w=11/3 or 3 and 2/3
7 0
3 years ago
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