The area of a triangle below is 2/5 the base is 6/5 feet what is the length

Please help. 15 points. Show all work. Thank you.

Sergio039 [100]

The last net has all of the requirements. All you have to do then is count, which means the vertices from the hexagon all add up to 12. The rectangles are supposed to encircle it to make a closed object, which gives it eight faces, hexagons included.

8 0

3 years ago

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The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who w

Serhud [2]

Answer:

$z=\frac{0.395 -0.3}{\sqrt{\frac{0.3(1-0.3)}{200}}}=2.932$

$p_v =2*P(z>2.932)=0.0034$

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of people that they would have purchased the GPS navigation system is significantly different from 0.3

Step-by-step explanation:

Data given and notation

n=200 represent the random sample taken

X=79 represent the number of people that they would have purchased the GPS navigation system

$\hat p=\frac{79}{200}=0.395$ estimated proportion of people that they would have purchased the GPS navigation system

$p_o=0.3$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.3 or no.:

Null hypothesis: $p=0.3$

Alternative hypothesis: $p \neq 0.3$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.395 -0.3}{\sqrt{\frac{0.3(1-0.3)}{200}}}=2.932$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.932)=0.0034$

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of people that they would have purchased the GPS navigation system is significantly different from 0.3

4 0

3 years ago

A sandbox is shaped like a kite. Each unit on the coordinate plane represents one foot. A planner would like to replace the wood

FromTheMoon [43]

Answer: 35 feet

Step-by-step explanation:

3 0

3 years ago

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Joaquin has 3,500 dollars in his bank account. He spends 300 dollars on a new laptop and 1,200 on a new phone. How much money do

nordsb [41]

Answer:

2,000 (3,500-300=3,200. 3,200 - 1,200 = 2,000)

3 0

3 years ago

Find the volume of the cone round your answer to the nearest tenth

Ainat [17]

Answer:

209.43951 round to the nearest tenth is 209.44

Step-by-step explanation:

A cone with a base radius of 5 units and a height of 8 units has a volume of 209.44 cubed units.

If a cone has a flat bottom, meaning the height and radius meet at right angles, then this formula can be used to find of volume ('V') of that cone (also know as a right circular cone):

V = 1/3(PI*r squared * h )

The volume of a cone can be calculated by taking one-third of the result of the radius squared, multiplied by the height, multiplied by the mathematical constant pi.

Here is a step-by-step case that illustrates how to find to volume of a cone with a radius of 2 feet and a height of 3 feet. Note that in order to save space (and because pi cannot be determine precisely) a limited number of decimal places are used, the symbol ~ denotes that this answer is an approximation.

V = 1/3(pi * r^2 * h)

= 1/3(pi * 2^2 * 3)

= 1/3(pi * 12)

= 1/3(37.7)

~ 12.6 cubic feet

Hope this helps!!

6 0

3 years ago