Explain how to find which is greater: 1/4 of 12 or 1/3 of 12.

Answers

Answer 1

Answer: we have 12 as a common value of both sides; so only check 1/4 and 1/3; 1/4 is smaller than 1/3, obviously (1 part divided into 4 parts vs. 1 part divided into 3 parts); when multiplied, it does not reverse the value
therefore, 1/4 of 12 < 1/3 of 12

Answer 2

Answer:

Step-by-step explanation:

Every one i can help you

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Simplify using the Laws of Exponents.

(6a2b6)3

Answers

(6a²b⁶)³
(6a²b⁶)(6a²b⁶)(6a²b⁶)
(6 · 6 · 6)(a² · a² · a²)(b⁶ · b⁶ · b⁶)
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A psychology professor assigns letter grades on a test according to the following scheme.A: Top 8% of scores

B: Scores below the top 8% and above the bottom 61%
C: Scores below the top 39% and above the bottom 16%
D: Scores below the top 84% and above the bottom 8%
F: Bottom 8% of scores

Scores on the test are normally distributed with a mean of 65.4 and a standard deviation of 9.7. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

Answers

F
B. Scores below the top 8 and above

Final answer:

The numerical limits for a D grade in psychology can be calculated using the Z-score formula. The cutoff scores are below the top 84% and above the bottom 8%. Using the mean of 65.4 and the standard deviation of 9.7, the numerical limits for a D grade are 52 to 79.

Explanation:

To find the numerical limits for a D grade, we need to determine the cutoff scores. According to the given scheme, a D grade corresponds to scores below the top 84% and above the bottom 8%. To calculate these cutoff scores, we can use the Z-score formula. The Z-score is calculated as the difference between a score and the mean, divided by the standard deviation. Using the Z-score table, we can find the Z-scores corresponding to the top 8% and the bottom 8%. Finally, we can use the Z-score formula to find the corresponding scores for those Z-scores.

Given that the mean is 65.4 and the standard deviation is 9.7, we can calculate the Z-scores:

Z-score for the top 8% = 1.405

Z-score for the bottom 8% = -1.405

Using the Z-score formula, where X is the score, the mean is 65.4, and the standard deviation is 9.7:

X = Z * standard deviation + mean

For the top 8%:

X = 1.405 * 9.7 + 65.4 = 79

For the bottom 8%:

X = -1.405 * 9.7 + 65.4 = 52

Therefore, the numerical limits for a D grade are 52 to 79 (rounded to the nearest whole number).

Learn more about Cutoff scores for a D grade in psychology here:

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A recipe used 4 cups of sugar every 2 teaspoons of vanilla. How many cups of sugar were used per teaspoon of vanilla?

Answers

Answer:

2 cups of sugar per teaspoon of vanilla

Step-by-step explanation:

4 ÷ 2 = 2

2 cups of sugar per teaspoon

Nick's bank account balance was $21. if he writes a check for $30 and his bank charges him $35 for overdrawing his account, find his account balance

Answers

The balance of Nick's bankaccount is $86.

Concept:

As we have the bank balance after deducting the check amount and bank charges, we will add those amounts to the balance to get the initial bank balance.

How to solve this question?

Amount of Check = $30
Amount of Bank Charges = $35
Amount after deduction of Check and bank charges =$21
∴ Initial bank balance = 21 + 30 + 35 = $86

Thus ,the balance of Nick's bank account is $86.

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It is saying that the Balance was 21 if he wrote a check for 30 and The bank was charging him $35 for overdrawing his account of basically you’re gonna just Add so 21+30+35 is 86

PLZ HELP ME IM VERY CONFUSED! BRAINLIEST TO THE FISRT PERSON WITH WORK!Consider the following relation: {(1,12),(3,8),(3,11),(6,9),(7,11)}. Which ordered pair could be removed so that the relation is a function?

Answers

Answer:

(3,11) or (7,11)

Step-by-step explanation:

A function cannot have the same second number repeated ( forgot the term for the second number) so removing either (3,11) or (7,11) would leave it being a function

Answer:

im just gonna answer so that other dude can get the brainliest

Step-by-step explanation:

but hes right, you cant have the same number in the second spot

Which statement is true?

Answers

Answer:

Step-by-step explanation:

The notation ⊥ means the 2 lines are perpendicular, which by definition means they intersect at a 90 degree angle.

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Karolyn is arranging her art project, science project, and math project on her desk. The tree diagram below shows the sample space. Based on the tree diagram, what is the probability that the science project is first?