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3 years ago

Which graph shows the solution to this system of inequalities? y < 2x + 4 y > -X -3

Mathematics

1 answer:

Arturiano [62]3 years ago

3 0

Answer:

The answer is Graph X.

Always start by isolating the variable \color{red}y on the left side of the inequality.
Change the inequality to equality symbol.
Graph the boundary line from step 2 in the XY-plane.
The last step is to shade one side or region of the boundary line.

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Is 98% of what you learn a waste

nevsk [136]

Answer:

My opinion:

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4 years ago

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Please help!!!! My assignment is almost due!!!

NeX [460]

Answer:

Step-by-step explanation:

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3 years ago

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(6 points) Elderly drivers. A polling agency interviews 748 American adults and finds that 464 think licensed drivers should be

NNADVOKAT [17]

Answer:

1) p-hat = 0.6203

2) std error = 0.0177

3) margin of error = 0.0291

4) (0.5912, 0.6494)

5) minimum sample size = 1683

Step-by-step explanation:

1. The point estimate for the proportion of American adults that think licensed drivers should be required to retake their road test once they reach 65 years of age can be calculating dividing the number of people who answer Yes by the total of people interviewed:

$\hat p=X/N=464/748=0.6203$

2. The standard error of a proportion can be expressed as:

$se_p=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.6203*0.3797}{748}}=\sqrt{0.000314877}=0.0177$

3. The z-value for a 90% CI is z=1.64485.

The margin of error can be expressed as:

$me=z\cdot se_p = 1.64485*0.0177=0.0291$

4. The lower and upper limits can be calculated as:

$LL=\hat p - z*se_p=0.6203-0.0291=0.5912\\\\\\UL=\hat p + z*se_p=0.6203+0.0291=0.6494$

5. To have a margin of error of no more than 3.2% of the sample proportion, we have to first calculate what margin of error gives 3.2% of the proportion.

$me=0.032*\hat p=0.032*0.6203=0.0198$

This margin of error can be related to the sample size as:

$me=z*se_p=z*\sqrt{\frac{p(1-p)}{n}} =1.645\sqrt{\frac{0.6203*0.3797}{n}}=0.0198\\\\1.645\sqrt{\frac{0.2355}{n} }=0.0198\\\\ \frac{0.2355}{n} =(0.0198/1.645)^2=0.0120^2=0.00014\\\\n=0.2355/0.00014\\\\n=1682.14\approx1683$

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3 years ago

If (1, y) is on the graph, then y = ____________ a0.

Debora [2.8K]

If <span>y = -x + 7, and (-1,y) is on the graph, then the following is true: y=-(-1) + 7, or y=8.

Thus, y = a0 = 8.</span>

7 0

3 years ago

jerry spent 5 1/3 hrs cleaning the house, and if he spent half that time cleaning the bathroom, and 40 minutes cleaning his room

valina [46]

Answer:

2 hours

Step-by-step explanation:

5 1/3 hours = 5 hours, 20 minutes

half of 5 hrs, 20 min is 2 hrs, 40 min

Jerry spent 2 hrs, 40 min cleaning the bathroom

Jerry spent 40 min cleaning his room

That leaves 2 hours to clean the house

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3 years ago