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denis-greek [22]
3 years ago
5

Carlin wants to determine the general attitude toward math of the students in the school. Which of the following methods will pr

oduce a random sample? A) survey 10 students from each of Mr. Lee’s math class. B) Survey all of the students in Carlin’s 1st period class. C) survey every 15th student who enters the cafeteria at lunchtime. D) survey every 3rd student in the list of honors students.
Mathematics
2 answers:
azamat3 years ago
7 0
C.) survey every 15th student who enters the cafeteria at lunchtime.
seropon [69]3 years ago
7 0

Answer:

C) survey every 15th student who enters the cafeteria at lunchtime.

Step-by-step explanation:

The sample is a subset of the population. We take samples because it is easy to analyze samples as compared to population and it is less time taken.

The sample is said to be a random sample if the sample is taken randomly or each unit is selected without any bias.

Option (A) is not a random sample as units are selected from Mr. Lee’s math class which is bias selection.

Option (B) is incorrect as Carlin take a survey of all students of 1st period and it might be possible that they are math's student.

Option (c) is a random sample as Cafeteria has every type of student.

Option (D) is also incorrect as the sample is biased.

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Alborosie

Answer:

Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.

Step-by-step explanation:

We use the central limit theorem to solve this question.

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a sample size larger than 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

So

Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.

5 0
3 years ago
What is the answer to r/10+4=5
Oxana [17]

Answer:

r=10

Step-by-step explanation:

Take 4 away from 5 to isolate your variable. Now you have r/10= 1. figure out the unknown value by placing ten on top which is the same as 1.

4 0
3 years ago
Read 2 more answers
Use the following function rule to find the missing value in the table
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The answer is c) -14.8
6 0
3 years ago
If a television program is 88 minutes long, how many minutes of commercials should a viewer expect
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15 minutes is the normal range for 88 mins
5 0
3 years ago
How do I do multi digit multiplication?
Alexus [3.1K]

A web search will turn up numerous videos that are available to answer that question. Often, you may find them more satisfactory than the static explanation of a text answer.

The fundamental idea is that the product is the sum of the products of the parts of the number(s). That is, the distributive property applies.

Here is an example.

... 12 × 34

... = (10 +2)×(30 +4)

... = 10(30 +4) +2(30 +4)

... = 10·30 + 10·4 + 2·30 + 2·4

... = 300 + 40 + 60 + 8

... = 408

_____

Here's an interpretation of what we've just seen that is a little unconventional. The product is the following sum:

... (1·3)×100 + (1·4 + 2·3)×10 + (2·4)×1

If you look at the place values of the digits being multiplied, you see that the multiplier here (×100 or ×10 or ×1) is the product of the place values of the digits involved. That is, when a digit in the 10s place is multiplied by another in the 10s place, their product contributes to the 100s place (10×10) of the result.

One method of multidigit multiplication that is taught is to only write down the partial sums obtained by adding products with the same "place" contribution in the result. That is, the product of 1s place digits (2 and 4 in our example) will go in the 1×1=1s place of the result.

The sum of products of the 10s and 1s place digits (1·4 + 2·3) = 10 will go in the 10×1 = 10s place of the result.

The product of the 10s place digits (1·3) = 3 will go in the 10×10 = 100s place of the result.

If you're good at keeping numbers in your head (gets easier with practice), this method can be faster than other more conventional ways to do it.

For numbers of more digits and/or of different lengths (say a 3-digit by 5-digit number), there are more partial sums, but the idea stays the same. It can be helpful to add leading zeros to the short number to make the numbers the same length.

Here's an example with two 5-digit numbers. Digits are chosen to be different so you can see what is being multiplied at each stage. Pay attention to the pattern being used to select digits to play with.

17986\\03524\\\\=(6\cdot 4)\times 1+(8\cdot 4+6\cdot 2)\times 10+(9\cdot 4+8\cdot 2+6\cdot 5)\times 100\\+(7\cdot 4+9\cdot 2+8\cdot 5+6\cdot 3)\times 1000\\+(1\cdot 4+7\cdot 2+9\cdot 5+8\cdot 3+6\cdot 0)\times 10000\\+(1\cdot 2+7\cdot 5+9\cdot 3+8\cdot 0)\times 10^5\\+(1\cdot 5+7\cdot 3+9\cdot 0)\times 10^6+(1\cdot 3+7\cdot 0)\times 10^7+(1\cdot 0)\times 10^8\\=63,382,664

It can be convenient to write down partial sums vertically aligned with the numbers being multiplied. (Put the sum where its place value indicates it should go.) Here, we have proceeded from right to left, but you can also do it proceeding from left to right. (Of course, the product of anything with zero is zero, so can be skipped or ignored.)

Some find it convenient to write the higher-order digits of a sum on separate lines, vertically aligned according to place value. For example, the partial sums we got in the exercise above were 24, 44, 82, 104, 87, 64, 26, and 3. Those might be written like this ...

\begin{array}{cccccccc}3&6&4&7&4&2&4&4\\2&6&8&0&8&4&2\\&&1\\6&3&3&8&2&6&6&4\end{array}

where the last line in this array is the sum of the rows above, hence the result of the multiplication.

_____

When the numbers have decimal digits, the number of decimal places in the result will be the total of the numbers of decimal places in the numbers being multiplied. For example, 8.31×5.6 has 2+1=3 total decimal digits, so the result will have 3 decimal digits. (It is 46.536.) Sometimes such a multiplication will have a product that ends in zeros. Those zeros are counted when placing the decimal point. (1.2×1.5 = 1.80 with 2 decimal digits.)

3 0
3 years ago
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