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zzz [600]
2 years ago
9

Maria says the mean of the scores 7, 8, 3, 0, 2 is 5, because she added the scores and divided by 4. Is she correct? Explain why

or why not.​
Mathematics
1 answer:
Sergeu [11.5K]2 years ago
8 0

Answer:

She is wrong.

Step-by-step explanation:

The mean score is

7 + 8 + 3 + 0 + 2= 20

We then divide it by the number which is 5

20/5= 4.

Therefore, Maria is wrong.

This is because she divided by 4 instead of 5, as she didn't include the rational number 0.

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Consider the right triangle. A right triangles with side lengths 28 meters and 45 meters. The hypotenuse is unknown. What is the
omeli [17]

Answer:

The answer is 53 or Square Root (sqrt) of 2809

Step-by-step explanation:

a^2+b^2=c^2

28^2+45^2=c^2

784+2025=c^2

c^2=sqrt 2809

c = 53

8 0
3 years ago
Read 2 more answers
420 es el 36% de 15120?
bazaltina [42]

Answer:

False

Step-by-step explanation:

36% of 15120 =

36% * 15120 = 36/100 * 15120 = 36 *

false 36% of 15120 is 544.32

5 0
2 years ago
Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x un
Jobisdone [24]

Answer:

B. 18

Step-by-step explanation:

The 4 machines can produce x units in 6 days. This means they have a daily total rate of x/6 units per day.

Since the machines are similar and that they work at the same rate, this means that the individual rates of each machine would be x/6/4 = x/24 units per day.

Now we are looking at producing 3x units in 4 days. This means that we want to produce 3x/4 units in a single day. Now, since each machine would work at a rate of x/24, we need to know the number of machines we need. To know this number, we simply divide what is to be achieved by the individual rate:

This is 3x/4 divided by x/24. This mathematically means 3x/4 * 24/x = 18 machines

4 0
3 years ago
The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by the funct
Dovator [93]

Answer:

a) Sketch the graph of the function f. (it is in the attached file)

b) What was the ratio at the beginning of 2006? At the beginning of 2014?

For 2006 the ratio is 3.92

For 2014 the ratio is 3.5

c) Over what years is the ratio constant?

[1995, 2000]

d) Over what years is the decline of the ratio greatest?

[2010, 2030]

Step-by-step explanation:

b) We first need to know in between which function 2006 falls into, so if we start in t=0=1995, then 2006-1995=11, t=11

t=11 fall into:

f(x)=-0.03t+4.25

f(11)=-0.03(11)+4.25=3.92

For 2006 the ratio is 3.92

2014:

Same process that 2006, t=0=1995, then 2014-1995=19, t=19

t=19fall into:

f(x)=-0.075t+4.925

f(19)=-0.075(11)+4.925=3.5

For 2014 the ratio is 3.5

c) The ratio is only constant in the first section of the graph 0≤t<5, since 4.1 is constant. Following the same process for the years in star (b) we have t=0, 1995+0=1995, t=5, 1995+5=2000.

The ratio will be constant between [1995, 2000]

d) For the greatest decline we need to compare slopes. From the line equation we have:

y(x)=mx+b where m is the slope and b is the point the line intersects with the y axis. Here we have:

f(x)=-0.03t+4.25  for 5≤t<15

f(x)=-0.075t+4.925  for 15≤t≤35

So:

m=-0.03 for 5≤t<15

m=-0.075 for 15≤t≤35

If we are measuring the steepness of the decline, we have to compare:

|-0.03| and |-0.075| or 0.03 and 0.075, easily finding that 0.075>0.03

And doing the sames process for the years in question (c):

t=15, 1995+15=2010, and t=35, 1995+35=2030

This means that the biggest decline is between the years:

[2010, 2030]

3 0
3 years ago
What is the approximate value of X? Round to the nearest tenth.
pychu [463]

Answer

Find out the value of x.

To prove

By using the trignometric identity

sin\theta = \frac{Perpendicular}{Hypotenuse}

 As given in the diagram.

\theta = 50 ^{\circ}

Perpendicular = x

Hypotenuse =  6

Put in the above identity

sin\ 50^{\circ} = \frac{x}{6}

sin\ 50^{\circ} = 0.77\ (Approx)

Put in the above

x = 6\times 0.77

x =  4.6 cm (Approx)

Therefore Option (c) is correct .

 

8 0
2 years ago
Read 2 more answers
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