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Salsk061 [2.6K]
3 years ago
10

TRUE OR FALSE: 16 + 72n = (2 + 9n)(8)

Mathematics
2 answers:
scoray [572]3 years ago
3 0

Answer:

true

Step-by-step explanation:

please see the image I attached of my work

Vilka [71]3 years ago
3 0

Answer: this is true

Step-by-step explanation:

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Following are the number of grams of carbohydrates in a sample of 12-ounce espresso beverages offered at Starbucks. 6 , 9, 10, 2
marusya05 [52]

Answer:

x=6, 9, 10, 20, 22, 25, 27, 40 , 48, 59

i= 1,  2 , 3,  4,    5,   6,    7,   8,    9,    10

And as we can see here the position for x=40 is 8, so then we can calculate the percentile for 40 grams like this:

p=\frac{8}{10} *100 = 80

So the  the vale of 40 gr correspond to the 80th percentile of the data since accumulates 80% of the values below.

Step-by-step explanation:

We can define a percentile as "a value on a scale of 100 that indicates the percent of a distribution that is equal to or below it"

For this case we have the following data given:

6 , 9, 10, 20, 22, 25, 27, 40 , 48, 59

And we want to calculate the percentile for the value of 40 grams

Since the dataset is on increasing way there is no problem to calculate this percentile.

We see that we have a total of n =10 observations, and we can rank the position of each observation (i) like this:

x=6, 9, 10, 20, 22, 25, 27, 40 , 48, 59

i= 1,  2 , 3,  4,    5,   6,    7,   8,    9,    10

And as we can see here the position for x=40 is 8, so then we can calculate the percentile for 40 grams like this:

p=\frac{8}{10} *100 = 80

So the  the vale of 40 gr correspond to the 80th percentile of the data since accumulates 80% of the values below.

3 0
3 years ago
The position vector for a particle moving on a helix is
topjm [15]

Answer:

a) 25.15

b)

   x = 1

   y = t

   z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

c) (x,y) = (1, -2pi)

Step-by-step explanation:

a)

First lets calculate the velocity, that is, the derivative of c(t) with respect to t:

v(t) = (-sin(t), cos(t), 2t)

The velocity at t0=4pi is:

v(4pi) = (0, 1, 8pi)

And the speed will be:

s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15

b)

The tangent line to c(t) at t0 = 4pi has the parametric form:

(x,y,z) = c(4pi) + t*v(4pi)

Since

 c(4pi) = (1, 0, (4pi)^2)

The tangent curve has the following components:

x = 1

y = t

z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

c)

The intersection with the xy plane will occurr when z = 0

This happens at:

  t1 = -2pi

Therefore, the intersection will occur at:

(x,y) = (1, -2pi)

6 0
3 years ago
A bag has 11 red marbles and 4 yellow marbles. Half of the yellow marbles are made of plastic. A marble is selected at random fr
PIT_PIT [208]

Answer:

Step-by-step explanation:

total marbles=11+4=15

plastic yellow marbles=4/2=2

P=(plastic marbles)/(total marbles)=2/15

3 0
3 years ago
Read 2 more answers
What is the equation of this line?
igor_vitrenko [27]

Answer:

Y=4

Step-by-step explanation:

The line is horizontal, which means that variable would be 4. The line starts at 4, which mean the equivalent of the variable is 4.

7 0
3 years ago
Under which president's administration were thousands of African Americans fired from civil service position?
Strike441 [17]
Both Theodore Roosevelt & Woodrow Wilson. <span />
4 0
3 years ago
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