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bija089 [108]
2 years ago
11

Which is the best estimate of -14 1/9 (-2 9/10) A- (-42) B-(-28) C-28 D-42

Mathematics
2 answers:
aleksandrvk [35]2 years ago
4 0
D), I believe it is -42. Correct me if im wrong :}
kipiarov [429]2 years ago
3 0

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

-14\dfrac{1}{9}\times -2\dfrac{9}{10}

We first round off the elements one by one :

14\dfrac{1}{9}\\\\=14+0.11\\\\=14.11\\\\\approx 14

Similarly,

2\dfrac{9}{10}\\\\=2+0.9\\\\=2.9\\\\\approx 3

So, Best estimate would be

-14\times -3\\\\=42

Hence, Option 'D' is correct.

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2,76<br> 5. Rationalize the denominator of the following: 2 root 6 divided by root 2 + root 3
rewona [7]

Answer:

6 √2 -4 √3

Step-by-step explanation:

Here, we want to rationalize the denominator of the following surdic fraction;

2√6/(√2 + √3)

To rationalize this, we have to multiply the numerator and the denominator by the conjugate of the denominator

The conjugate of the denominator is √2 - √3

So, we have the rationalization as follows;

2 √6(√2-√3)/(√2 + √3)(√2-√3)

Thus, we have

(4√3-6 √2)/(-1)

= 6 √2 -4 √3

8 0
2 years ago
What is equivalent to 5/40
Mnenie [13.5K]
Is it a multiple choice question? I mean, 10/80?..
3 0
3 years ago
Read 2 more answers
Simplify 4 to the 7th over 5 squared all raised to the 3rd power
alisha [4.7K]
<h2>Answer:</h2>

\left(\frac{4^{21}}{5^6}\right)

or

4 to the 21st over 5 to the 6th.

<h2>Step-by-step explanation:</h2>

First, we need to write our expression. Let's do it step by step:

<u>4 to the 7th:</u>

4^7

<u>5 squared:</u>

5^2

<u>4 to the 7th over 5 squared:</u>

\frac{4^7}{5^2}

<u>4 to the 7th over 5 squared all raised to the 3rd power:</u>

<u>\left(\frac{4^7}{5^2}\right)^3</u>

Using the law of exponents:

\left(\frac{4^{7\times 3}}{5^{2\times 3}}\right) \\ \\ \left(\frac{4^{21}}{5^6}\right)

Finally, the answer is 4 to the 21st over 5 to the 6th.

8 0
3 years ago
Read 2 more answers
Question Help Scores of an IQ test have a​ bell-shaped distribution with a mean of 100100 and a standard deviation of 1010. Use
3241004551 [841]

Answer:

a) 95% percentage of people has an IQ score between 80 and 120.

b) 68% percentage of people has an IQ score between 90 and 110.    

c) 2.5% percentage of people has an IQ score greater than 120.          

Step-by-step explanation:

The empirical formula states that:

  • The empirical rule is known as the three-sigma rule or 68-95-99.7 rule.
  • It is a rule which states that for a normal distribution, almost all data falls within three standard deviations of the mean.
  • 68% of data falls within the first standard deviation that is \mu \pm \sigma
  • 95% of data falls within the second standard deviation that is \mu \pm 2\sigma
  • 99.7% of data falls within the third standard deviation that is \mu \pm 3\sigma

a)  percentage of people has an IQ score between 80 and 120

(80, 120) can be written as:

(80, 120) = (100-2(10), 100 + 2(10))\\= (\mu \pm 2\sigma)

Thus, it is the interval within two standard deviation from the mean.

Thus, by empirical formula, 95% percentage of people has an IQ score between 80 and 120.

b) percentage of people has an IQ score between 90 and 110

(90, 110) can be written as:

(90, 110) = (100-1(10), 100 + 1(10))\\= (\mu \pm 1\sigma)

Thus, it is the interval within one standard deviation from the mean.

Thus, by empirical formula, 68% percentage of people has an IQ score between 90 and 110.

c) P(score greater than 120)

= 1 - percentage of score less than 80 - percentage of score between 80 and 120

= 1 - (95\% + 2.5\%) = 2.5\%

From empirical formula,

2.5% percentage of people has an IQ score greater than 120.

6 0
2 years ago
Holly spends
maks197457 [2]

Answer:

dsg

Step-by-step explanation:

4 0
3 years ago
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