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miskamm [114]
2 years ago
5

12x2 + 3x + 6 and -7x2 - 4x - 2

Mathematics
1 answer:
Semenov [28]2 years ago
8 0

Answer:

Step-by-step explanation:12x2 + 3x + 6 + (-7)x2 - 4x - 2 = 0

12•x•2 + 3•x + 6 + (-7)•x•2 - 4•x - 2 = 0

9x = -4

x = -4/

9

≈ -0.444444

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Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course.
sertanlavr [38]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean  Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 =  

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean  2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to  of the values.

Therefore, Scores between 72 and 90 =  

= 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 =  

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is 0.3636... round to the nearest tenth?
miskamm [114]
0.36. 
tenth position is b in . 0.ab
6 0
3 years ago
Adult tickets to Space City amusement park cost x dollars. Children's tickets cost y dollars. The Garcia family bought 3 adult a
KengaRu [80]

let the number of adult tickets be x and the number of children tickets be y

3x + y = 164...equ(1)

2x + 3y = 174....equ(2)

multiplying equation 1 by 3

9x + 3y = 492

subtracting equation 2 from 1

7x = 318

x = 45.43 dollars

substituting the value of x into the equation

3(45.428) + y = 164

y = 164 - 3(45.428)

∴y  = 27.71 dollars



8 0
3 years ago
Chicago
Soloha48 [4]
Desert Shores is below the sea level and the difference is more than 600 feet
4 0
2 years ago
If u=6 feet, v=7 feet, w=4 feet, x=6 feet, y=12, and z=3 feet, what is the area of this object?
eimsori [14]

Answer:

D. 62 square feet

Step-by-step explanation:

uz + wx + (v+z)(y-u-w)

6*3 + 4*6 + (7+3)(12-6-4)

18 + 24 + 20 = 62

7 0
2 years ago
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