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DiKsa [7]
3 years ago
15

During the summer, Mr. Brust does a lot of napping (and snoring)! In a typical nap, Mr. Brust will snore on average 320 times (o

r the ratio of naps to snores is 1 nap : 320 snores). Find the total number of times Mr. Brust snored last summer during naps in July and August if he took one nap everyday.
Mathematics
1 answer:
Komok [63]3 years ago
8 0

Answer: Mr Brust snored a total of 19,840 times last summer

Step-by-step explanation:

Mr Brust snores in the ratio of 1 nap : 320 snores or 1 nap = 320 snores

Given that he took a  nap everyday,  last summer We have that  .

For the month of July,

he had 31 naps( 31 days are in July)

Number of snores he made =31 x 320=9,920 snores

For the month of August

he also took 31 naps ( 31 days are in AugusT)

Number of snores he made = 31 x 320=9,920 snores

Therefore  Mr Brust snored a total of 9,920+ 9,920 =19,840 times

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5-3x=Px+7 <br> what value must P have for the equation to have no solutions?
ddd [48]

Answer:

P = - 3

Step-by-step explanation:

For the equation to have no solutions the the coefficient of x on both sides must be the same.

5 - 3x = Px + 7 ← P = - 3 , then

5 - 3x = - 3x + 7 ( subtract 5 from both sides )

- 3x = - 3x + 2 ( add 3x to both sides )

0 = 2 ← not possible

Meaning the equation has no solutions

6 0
3 years ago
Please help 14 points ASAP
grigory [225]

The desired measures for the data-set is given by:

  • Minimum: 48
  • Lower quartile: 54.
  • Median: 63.5.
  • Upper quartile: 74.
  • Maximum: 80.
  • IQR: 20

<h3>How to find the five number summary and interquartile range of the data-set?</h3>

The five number summary is composed by the measures explained below, except the IQR.

  • The minimum value is the smallest value from the data-set, as the maximum value is the greatest value of the data-set.
  • The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
  • The first quartile is the median of the first half of the data-set.
  • The third quartile is the median of the second half of the data-set.
  • The interquartile range is the difference of the third quartile and the first quartile.

In this problem, we have that:

  • The minimum value is the smallest value, of 48.
  • The maximum value is the smallest value, of 80.
  • The data-set has even cardinality, hence the median is the mean of the middle elements, which are 63 and 64, hence the median is of 63.5.
  • The first quartile is the median of the five elements of the first half, hence it is of 54.
  • The third quartile is the median of the five elements of the second half, hence it is of 74.
  • The IQR is the difference between the quartiles, hence 74 - 54 = 20.

More can be learned about five number summaries at brainly.com/question/17110151

#SPJ1

8 0
2 years ago
A large water tank holds 210 liters of water. About how many gallons of water does the same tank hold, if there are approximatel
shusha [124]

Answer:

Step-by-step explanation:

Set up a proportion

15 Liters / 4 gallons = 210 Liters / x      Cross Multiply

15x = 4 * 210                                           Combine the right

15x = 840                                                Divide by 15

x = 840 / 15

x = 56 gallons

4 0
3 years ago
A few years​ ago, a census bureau reported that​ 67.4% of American families owned their homes. Census data reveal that the owner
STatiana [176]

Answer:

The hypothesis can be defined as follows:

H₀: The rate of home ownership is 67.4%, i.e. p = 0.674.

Hₐ: The rate of home ownership is more than 67.4%, i.e. p > 0.674.

Step-by-step explanation:

In this case we need to determine whether the city should continue with plan of offering tax breaks to first-time home buyers in order to encourage people to become homeowners.  

It is provided that, a few years ago, a census bureau reported that 67.4% of American families owned their homes.  

But the Census data reveal that the ownership rate in one small city is much lower.

So, to improvise this the city council wants to offer tax breaks to first-time home buyers in order to encourage people to become homeowners.  

They decide to adopt the plan on a 2-year trial basis and use the data they collect to make a decision about continuing the tax breaks.

To determine whether the city council should continue with the plan or not, the hypothesis can be defined as follows:

H₀: The rate of home ownership is 67.4%, i.e. p = 0.674.

Hₐ: The rate of home ownership is more than 67.4%, i.e. p > 0.674.

4 0
3 years ago
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A = P (1 + r/n)^nt
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3 years ago
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