You can use the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) property. This means that when two triangles are congruent, all the corresponding parts are congruent to each other.

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3 years ago

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3. Ricky buys some packs of gum (x) that cost $1.50 and some jawbreakers (y) that cost $ 50.

insens350 [35]

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5 0

3 years ago

In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th

deff fn [24]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

The sample size is n = 64

The average price is $\= x = \$ 112$

The population standard deviation is $\sigma = \$ 16$

The level of significance is $\alpha = 0.05$

The population mean is $\mu = \$ 108.5$

The null hypothesis is $H_o : \mu = 108.50$

The alternative hypothesis is $H_a : \mu \ne 108.50$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }$

=> $z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }$

=> $z = 1.75$

From the z table the area under the normal curve to the left corresponding to 1.75 is

$P( Z > 1.75) = 0.040059$

Generally p-value is mathematically represented as

$p-value = 2 * P( Z > 1.75)$

=> $p-value = 2 * 0.040059$

=> $p-value = 0.08012$

From the values obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the average room price is significantly different from $108.50

3 0

3 years ago

6x-22+12x+2=100 what the measure of ayx​

6x-22+12x+2=100 what the measure of ayx