$Number\ is\ divisible\ by\ 3\ if\ the\ sum\ of\ the\ digits\ is\ divisible\ by\ 3.\\\\8,264\\\\8+2+6+4=20-
is\ not\ divisible\ by\ 3.\\\\8,264\ is\ divisible\ by\ 3-FALSE$

7 0

3 years ago

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What is 3x+4= -15? How would you get a negative number?

bulgar [2K]

Answer:

$x=-\frac{19}{3}$

Step-by-step explanation:

$3x+4=-15$

$3x+4-4=-15-4$

$3x=-19$

$\frac{3x}{3}=\frac{-19}{3}$

$x=-\frac{19}{3}$

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