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stellarik [79]
3 years ago
11

Bruce buys 7 cans of food for his dog a week and a bag of dog food every 4 weeks .cans of dog food cost $1.29 each. a bag of dog

food cost $67.59 . in 4 weeks Bruce spent how much?
Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

$103.71

Step-by-step explanation:

Take the amount of the dog food cans and multiply it by 7:

7×$1.29=$9.03

Take the new number and multiply it by 4, since we need to figure out how much he spends in 4 weeks:

$9.03×4=$36.12

Now add the cost of the bagged dog food to the cost of the 7 cans throughout the 4 weeks:

$36.12+$67.59=$103.71

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Find the midpoint of the line segment with end coordinates of:
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Answer:

The midpoint of this line segment is (-1.5, -4.5).

Step-by-step explanation:

In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:

                                             -2 -1

x-coordinate of midpoint = --------- = -3/2 = -1.5

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2 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
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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

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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

 

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