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AVprozaik [17]
2 years ago
13

Question 1 of

Mathematics
2 answers:
AnnyKZ [126]2 years ago
3 0

Answer:

5L/2 < 100

Step-by-step explanation:

Let's get started!

Let :

⇒ Length = L

⇒ Width = L/4

It mentions the perimeter must be less than 100 inches.

Perimeter Formula :

<u><em>Perimeter (Rectangle) = 2(Length + Width)</em></u>

Then, the inequality formed will be :

⇒ 2 (L + L/4) < 100

⇒ 2 (5L/4) < 100

⇒ 10L/4 < 100

⇒ 5L/2 < 100

Serggg [28]2 years ago
3 0

Length be L

width be L/4

Now

Perimeter=2(Length+Breadth)

  • 2(L+L/4)<100
  • 2(5L/4)<100
  • 5L/2<100
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(8.6x107)-(9.1x10-8)simplify
natima [27]

Answer:

  85,999,999.999 999 909

Step-by-step explanation:

The expression represents the difference of a relatively large number and one that is relatively small. That difference is approximately the value of the large number. The exact value requires 17 digits for its proper expression. Most calculators and spreadsheets cannot display this many digits.

<h3>Standard form</h3>

The numbers in standard form are ...

  86,000,000 = 8.6×10^7

  0.000000091 = 9.1×10^-8

<h3>Difference</h3>

Their difference is ...

  86,000,000 -0.000000091 = 85,999,999.999 999 909

In scientific notation, this is ...

  8.599 999 999 999 990 9×10^7

4 0
2 years ago
on the highway Anita drove an average speed of 60.2 miles per hour at that speed about how far can she travel in three and a hal
Misha Larkins [42]
6. 64 hours so about 7 hours if you need to round up


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3 0
3 years ago
According to a survey, the average American person watches TV for 3 hours per week. To test if the amount of TV in New York City
Neporo4naja [7]

Answer:

Test statistic (t-value) of this one-mean hypothesis test is -2.422.

Step-by-step explanation:

We are given that according to a survey, the average American person watches TV for 3 hours per week. She surveys 19 New Yorkers randomly and asks them about their amount of TV each week, on average. From the data, the sample mean time is 2.5 hours per week, and the sample standard deviation (s) is 0.9 hours.

We have to test if the amount of TV in New York City is less than the national average.

Let Null Hypothesis, H_0 : \mu \leq 3  {means that the amount of TV in New York City is less than the national average}

Alternate Hypothesis, H_1 : \mu > 3   {means that the amount of TV in New York City is more than the national average}

The test statistics that will be used here is One-sample t-test statistics;

        T.S. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean time = 2.5 hours per week

             s = sample standard deviation = 0.09 hours

             n = sample size = 19

So, <u>test statistics</u> = \frac{2.5 - 3}{\frac{0.9}{\sqrt{19} } } ~ t_1_8

                              = -2.422

Therefore, the test statistic (t-value) of this one-mean hypothesis test (with σ unknown) is -2.422.

8 0
3 years ago
Two more than the Quotient of twelve and a number
chubhunter [2.5K]

Answer:

x/12+2

Step-by-step explanation:

the answer to the question

4 0
3 years ago
PLEASE HELP 15 POINTS
mart [117]
Area Y Square + Area of triangle
= 10x10+1/2x18x5
=100+9x5
=100+45
=145.
8 0
3 years ago
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