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Vikki [24]
3 years ago
15

9. CONSIDER M= VOWELS IN THE WORLD MATHEMATICS FIND N [ M]

Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0

3

Step-by-step explanation:

You can only find 3 vowels in the word Mathematics

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Set up and solve the following using dimensional analysis.
Softa [21]
1).  Multiply (5400 inches) by (1 foot / 12 inch) then by (1 mile / 5280 foot).

      (See explanation at the bottom)

         =      (5400 inch) x (1 foot / 12 inch) x (1 mile / 5280 foot)

         =      (5400 x 1 x 1 / 12 x 5280)  (inch - foot - mile / inch - foot) 

         =          0.0852  mile  


2).  Multiply (16 week) by (7 day/week) then by (24 hour/day)
       then by (60 minute/hour) then by (60 sec/minute).

3).  Multiply (54 yards) by (3 foot/yard) then by (1 meter/3.28 foot)
       and then by (1000 mm/meter)

4).  Multiply (36 cm/second) by (3600 second/hour) then by (1 meter/100 cm)
      then by (1 mile/1609.3 meter).

5).  Look up how many grams in a pound  ('P')
       Look up how many mL in a gallon       ('G')

      Multiply (1.09 g/mL) by ( 1 pound/ P gram) then by (1 gallon/ G mL)

6).  Multiply (32 foot/sec) by (1 meter / 3.28 foot) then by (60 sec/minute).


Each time I told you to multiply by something, it was always a fraction
where the numerator and denominator are equal, like (60 seconds/minute)
or (1 foot / 12 inch).  Since the top and bottom of the fraction are equal, the
value of the fraction is ' 1 ' , and multiplying by it doesn't change the value,
it only changes the units ... that's what this whole exercise is about.
When you multiply, KEEP the units in the product, and then, after you multiply, you can 'cancel' units out of the top and bottom of the product.
Like if you have 'feet' on top and bottom, just cross them out.  When you're done, if you did it correctly, the last unit you end up with will be the one you want.      
4 0
3 years ago
Use the following graph of the function f(x) = x3 − 3x2 − x + 3 to answer this question: graph of x cubed minus 3 x squared minu
Marina CMI [18]

The average rate of change is also known as the slope. If we are looking to find the average rate of change between x = -1 and x = 2, in order to find the slope between those 2 x values, we need the y's that go along with them. Fill in -1 for x in the function and solve for y: (-1)^3-3(-1)^2-(-1)+3=0. That means that the coordinate is (-1, 0). Fill in 2 for x in the function and solve for y: (2)^3-3(2)^2-(2)+3=-3. The coordinate there is (2, -3). Now we can set up the slope formula to find the average rate of change between those 2 points: \frac{-3-0}{2-(-1)}=\frac{-3}{3}=-1. Therefore, the average rate of change between x = -1 and x = 2 is -1

6 0
3 years ago
What is the quotient of 1/2÷1/6=
Sphinxa [80]
1/2 <span>÷ 1/6 =

Divide fractions:

a x d /  b x c

 Therefore:

1 x 6 / 2 x 1 =

6 / 2 = 3

hope this helps!

</span>
3 0
3 years ago
Read 2 more answers
The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amo
Aloiza [94]

Answer:

a)\ \ \bar x_m-\bar x_f=67.03\\\\b)\ \ E=15.7416\\\\c)\ \ CI=[51.2884, \ 82.7716]

Step-by-step explanation:

a. -Given that:

n_m=41\ , \ \sigma_m=33, \bar x_m=135.67\\\\n_f=37. \ \ ,\sigma_f=20, \ \ \bar x_f=68.64

#The point estimator of the difference between the population mean expenditure for males and the population mean expenditure for females is calculated as:

\bar x_m-\bar x_f\\\\\therefore \bigtriangleup\bar x=135.67-68.64\\\\=67.03

Hence, the pointer is estimator 67.03

b. The standard error of the point estimator,\bar x_m-\bar x_f is calculated by the following following:

\sigma_{\bar x_m-\bar x_f}=\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}

-And the margin of error, E at a 99% confidence can be calculated as:

E=z_{\alpha/2}\times \sigma_{\bar x_m-\bar x_f}\\\\\\=z_{0.005}\times\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\\\=2.575\times \sqrt{\frac{33^2}{41}+\frac{20^2}{37}}\\\\\\=15.7416

Hence, the margin of error is 15.7416

c. The estimator confidence interval is calculated using the following formula:

\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}

#We substitute to solve for the confidence interval using the standard deviation and sample size values in  a above:

CI=\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\=(135.67-68.64)\pm 15.7416\\\\=67.03\pm 15.7416\\\\=[51.2884, \ 82.7716]

Hence, the 99% confidence interval is [51.2884,82.7716]

7 0
3 years ago
_______ is 100 times as much as 90
jek_recluse [69]

90*100=9000

hope that helps

3 0
3 years ago
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