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victus00 [196]
3 years ago
8

The shortest side of a polygon of area 196 sq. in. is 4 in. long. Find the area of a similar polygon whose shortest side is 8 in

. long.
Mathematics
2 answers:
fenix001 [56]3 years ago
7 0
The correct answer is:  " 784 in² " . 
_________________________________________
                  {or; write as:  " 784 sq. inches " .}.
_________________________________________
      When the side is doubled (in this case, 4 is doubled; 4 * 2 = 8} ; the area is increased by 2² times; that is, by 4 times;  so, the area is:
    (196 sq. in)  * 4 =   784 sq inches .
_________________________________________
madreJ [45]3 years ago
4 0

Answer:

784 in

Step-by-step explanation:

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) The National Highway Traffic Safety Administration collects data on seat-belt use and publishes results in the document Occupa
asambeis [7]

Answer:

We conclude that there is a difference in seat belt use.

Step-by-step explanation:

We are given that of 1,000 drivers 16-24 years old, 79% said they buckle up, whereas 924 of 1,100 drivers 25-69 years old said they did.

<u><em>Let </em></u>p_1<u><em> = population proportion of drivers 16-24 years old who buckle up .</em></u>

<u><em /></u>p_2<u><em> = population proportion of drivers 25-69 years old who buckle up .</em></u>

So, Null Hypothesis, H_0 : p_1-p_2 = 0      {means that there is no significant difference in seat belt use}

Alternate Hypothesis, H_A : p_1-p_2\neq 0      {means that there is a difference in seat belt use}

The test statistics that would be used here <u>Two-sample z proportion statistics;</u>

                     T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~ N(0,1)

where, \hat p_1 = sample proportion of drivers 16-24 years old who buckle up = 79%

\hat p_2 = sample proportion of drivers 25-69 years old who buckle up = \frac{924}{1100} = 84%

n_1 = sample of 16-24 years old drivers = 1000

n_2 = sample of 25-69 years old drivers = 1100

So, <u><em>test statistics</em></u>  =  \frac{(0.79-0.84)-(0)}{\sqrt{\frac{0.79(1-0.79)}{1000}+\frac{0.84(1-0.84)}{1100} } }  

                              =  -2.946

The value of z test statistics is -2.946.

Since, in the question we are not given with the level of significance so we assume it to be 5%. <u><em>Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</em></u><em> </em>

<em>Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that there is a difference in seat belt use.

4 0
3 years ago
What is 2x+3y+8x equal
Taya2010 [7]

10x + 3y. add like terms

8 0
2 years ago
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Find the value of x. help please
vampirchik [111]

Answer:

x=10

Step-by-step explanation:

It's a 90 degree angle.

90-60=30

30=the remaining angle, 3x

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Hope I helped!

5 0
3 years ago
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zavuch27 [327]

Answer:

8×

Step-by-step explanation:

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What is this property 14-8=2x+8-8<br> 6=2x
Molodets [167]

Answer:

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Step-by-step explanation:

The way the problem is laid out confuses me but if it is the problem that you laid out, it should be Distributive.

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3 years ago
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