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3 years ago

Which of the following number sentences is an example of the associative property of multiplication?

Mathematics

2 answers:

koban [17]3 years ago

4 0

20 × (10 + 6) = (20 × 10) + (20 × 6)

(12 × 3) × 8 = 12 (3 × 8)

sertanlavr [38]3 years ago

3 0

Answer:

Option C and D are examples of associative property of multiplication.

Option A is examples of commutative property of multiplication.

Option B is normal multiplication.

Hope this helps!

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svetlana [45]

Answer:

Step-by-step explanation:

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2 years ago

In a random sample of 5 residents of the state of Texas, the mean waste recycled per person per day was 1.9 pounds with a standa

sammy [17]

<h2>Answer with explanation:</h2><h2 />

The confidence interval for population mean is given by :-

$\overline{x} \pm\ t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.

Sample mean : $\overline{x}=1.9\text{ pounds}$

Standard deviation: $\sigma=0.89\text{ pounds}$

Significance level : $1-\alpha:1-0.99=0.01$

By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-

$t_{n-1,\alpha/2}=t_{5-1,0.01/2}=t_{4,0.005}=4.604$

Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-

$1.9\pm\ (4.604)\dfrac{0.89}{\sqrt{5}}\\\\\approx1.9\pm1.832\\\\=(1.9-1.832,1.9+1.832)=(0.068,\ 3.732)$

Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas = (0.068, 3.732)

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