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2 years ago

Express 900 as a product of its prime factors im index form

Mathematics

2 answers:

ANTONII [103]2 years ago

3 0

Step-by-step explanation: Divide by successive primes:

900 / 2 = 450

450 / 2 = 225

225 / 3 = 75

75 / 3 = 25

25 / 5 = 5

5 / 5 = 1

Write down the prime factors:

2 × 2 × 3 × 3 × 5 × 5

Write them in index form:

2² × 3² × 5²

ki77a [65]2 years ago

3 0

Answer:

2∧2 . 3∧2 . 5∧2

Step-by-step explanation:

First of all, it is important to divide the number by the minimum possible divisors until getting 1 as a result

900 ÷ 2 = 450

450 ÷ 2 = 225

225 ÷ 3 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Then the prime factors of 900 are 2 . 2 . 3 . 3 . 5 . 5 or 2∧2 . 3∧2 . 5∧2 because 2∧2 = 4 ; 3∧2 = 9 ; 5∧2 = 25 , and 4 . 9 . 25 = 900

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Step-by-step explanation:

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3 years ago

A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores

EastWind [94]

Answer:

$(52-49) -4.300= -1.300$

$(52-49) +4.300= 7.300$

And the 95% confidence would be :

$-1.300 \leq \mu_1 -\mu_2 \leq 7.300$

Step-by-step explanation:

We have the following info given from the problem

$\bar X_1 = 52$ sample mean for this year

$s_1= 13$ sample deviation for this year

$n_1 = 75$ random sample selected for this year

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$s_2= 11$ sample deviation for last year

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And we want to construct a 95% confidence interval estimate of the difference μ1−μ2, where μ1 is the mean of this year's sales and μ2 is the mean of last year's sales

For this case the formula that we need to use is:

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}$

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$t_{\alpha/2}= 1.979$

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And the confidence interval would be given by:

$(52-49) -4.300= -1.300$

$(52-49) +4.300= 7.300$

And the 95% confidence would be :

$-1.300 \leq \mu_1 -\mu_2 \leq 7.300$

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3 years ago

The vector parametric equation for the line through the points (−1,−4,2) and (−1,0,−3) is:_______

ollegr [7]

Answer: $x(t)=-1$

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Step-by-step explanation:

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Let A (−1,−4,2) and B(−1,0,−3)

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Answer:

Step-by-step explanation:

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Express 900 as a product of its prime factors im index form ​

Express 900 as a product of its prime factors im index form