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3 years ago

Compatible numbers to estimate the quotient 737.5÷9

Mathematics

2 answers:

Korolek [52]3 years ago

8 0

80 is the estimate that I say it's pretty close

MatroZZZ [7]3 years ago

5 0

I believe it's 70 cause if you round 737.5 to 700 and 9 to 10 you divide and it gives you 10

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PLEASE HELP ME ON 6-11 AND SHOW WORK PLEASE!!

pychu [463]

Answer:

6) 6 $\sqrt{2}$

9) 40

10) $\frac{5\sqrt{2} }{2}$

11) 13

Step-by-step explanation:

6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg* $\sqrt{2}$

9) Pythagorean Theorem

$a^{2} +b^{2} =c^{2}$

We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a

$\sqrt{41^{2}-9^{2} }$ which gives us 40

10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by $\sqrt{2}$ because we know that if 2 legs are equal, the hypotenuse is multiplied by $\sqrt{2}$ . Multiply the numerator and denominator by $\sqrt{2}$ because we can't have a square root in the denominator.

11) like #9 we have the a and b but we need to find c

a=5 b=12 c=r

so $\sqrt{5^{2}+12^{2} }$ which gives us 13

6 0

3 years ago

Read 2 more answers

Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(

oee [108]

The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

<h3>What is polynomial equation?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

$2x^3 +18x^2 - 18x - 162$

The factor of the polynomial equation are given as,

$2(x+ k)(x - k)(x +9)$

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,

$2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)$

Take out the highest common factor to make the groups as,

$2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)$

Use the property of difference of the square for the (x²-3²) term as,

$2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)$

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Learn more about factor of polynomial here;

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2 years ago

What is one disadvantage of a trade school education over a four-year college?

nekit [7.7K]

Answer:

answer the cost will be higher

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2 years ago

What's the factory of 10

sergey [27]

Answer:

1,2,5,10

Step-by-step explanation:

Do you mean factors? If so, these are the factors of ten.

3 0

3 years ago

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A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40

bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .