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2 years ago

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)

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2 years ago

What is equivalent to 5/40

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3 years ago

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Simplify 4 to the 7th over 5 squared all raised to the 3rd power

alisha [4.7K]

<h2>Answer:</h2>

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

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:

$4^7$

<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:

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

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Question Help Scores of an IQ test have a bell-shaped distribution with a mean of 100100 and a standard deviation of 1010. Use

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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 $\mu \pm \sigma$