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3 years ago

Hey can anybody help me out with this question please

Mathematics

2 answers:

IrinaK [193]3 years ago

8 0

Part 1: Math is like another language! Let's translate "The difference between three times a number and seven more than two times the number." "A number" is a variable, let's use x. "The difference between __ and __" means the first blank minus the second blank: so, (three times x) - (seven more than two times x). "More" means to add, and "times" means to multiply. So, the answer is 3x - (2x+7). By the way, I switched 7 and 2x to satisfy standard form.

Part 2: Our expression is 3x - (2x+7). Now, we need to simplify this. First, remove the parentheses: 3x-2x+7. Now, 3x and 2x are LIKE TERMS because they both have "x" in them, so you can subtract their coefficients--that is, 3 and 2. 3x-2x=(3-2)x=1x=x. Substitute that in, and we get our answer: x+7.

Answers: 3x-(2x+7); x+7

vampirchik [111]3 years ago

6 0

Sure, what is the question you need help with

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3 years ago

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3 years ago

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Strike441 [17]

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3 years ago

Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t

PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

$P(X$

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

$P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673$

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

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3 years ago