Which linear inequality is represented by the graph? y ≤ 1/2x + 2 y ≥ 1/2x + 2 y ≤ 2/3x + 2 y ≥ 2/3x + 2

Mathematics

2 answers:

Arturiano [62]3 years ago

8 0

Here Go The Picture

patriot [66]3 years ago

6 0

Post the graph and I can help

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

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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.

8 0

3 years ago

Please help me solve this math problem

pochemuha

Answer:

(b)

Step-by-step explanation:

A suitable calculator or spreadsheet can find the matrix product for you. Here, the answer choices differ in their upper left term, so we can determine the correct choice by finding the value of that term. It is the dot product of the first row of B and the first column of A.

(5)(3) +(7)(3) +(3)(2) = 15 +21 +6 = 42

This matches choice B.