.. pls help me....!!!!! Determine whether the point (-2,4) satisfy y<3x+5,y=3x+5 or y >3x+5..

Mathematics

1 answer:

natima [27]3 years ago

3 0

Given:

The point is (-2,4).

To find:

Whether the point (-2,4) satisfy $y$ or $y >3x+5$ .

Solution:

We have a point (-2,4).

Substituting x=-2 in 3x+5 and check whether it is greater, equal or less than y value, i.e., 4.

$3x+5=3(-2)+5$

$=-6+5$

$=-1$

-1 is less than 4.

$3x+5$

In can be written as

$y>3x+5$

Therefore, the given point (-2,4) satisfy $y >3x+5$ .

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A survey of shoppers is planned to determine what percentage use credit cards. prior surveys suggest 63% of shoppers use credit

Alona [7]

We would need a sample size of 560.

We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal: 95% = 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.

The margin of error, ME, is given by:
$ME=z*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

We want ME to be 4%; 4% = 4/100 = 0.04. Substituting this into our equation, as well as our proportion and z-score,
$0.04=1.96\sqrt{\frac{0.63(1-0.63)}{n}}
\\
\\\text{Dividing both sides by 1.96,}
\\
\\\frac{0.04}{1.96}=\sqrt{\frac{0.63(0.37)}{n}}
\\
\\\text{Squaring both sides,}
\\
\\(\frac{0.04}{1.96})^2=\frac{0.63(0.37)}{n}
\\
\\\text{Multiplying both sides by n,}
\\
\\n(\frac{0.04}{1.96})^2=0.63(0.37)
\\
\\n(\frac{0.04}{1.96})^2=0.2331
\\
\\\text{Isolating n,}
\\
\\n=\frac{0.2331}{(\frac{0.04}{1.96})^2}=559.67\approx560$

3 0

3 years ago

Multiply 2 5/8 and -2 3/5

Rina8888 [55]

Answer:

-6 33/40

Step-by-step explanation:

2 5/8 * -2 3/5

Change each to an improper fraction

2 5/8 = (8*2+5)/8 = 21/8

2 3/5 = (5*2+3)/5 = 13/5

21/8 * -13/5