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Ilia_Sergeevich [38]
2 years ago
13

Which ordered pair represents the solution to:

Mathematics
1 answer:
Serjik [45]2 years ago
8 0
2x6=12
3x6=18
12+18=22

2x3=6
2x6=12

6+12=18
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Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule
Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113​.

(b) 5% of people has an IQ score less than 74 or greater than 126.

(c) 0.15% of people has an IQ score greater than 139​.

Step-by-step explanation:

Given information:Scores of an IQ test have a​ bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between \overline{x}-\sigma and \overline{x}+\sigma.

95% data lies between \overline{x}-2\sigma and \overline{x}+2\sigma.

99.7% data lies between \overline{x}-3\sigma and \overline{x}+3\sigma.

(a)

\overline{x}-\sigma=100-13=87

\overline{x}+\sigma=100+13=113

[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113​.

(b)

\overline{x}-2\sigma=100-2(13)=74

\overline{x}+2\sigma=100+2(13)=126

[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126​.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126​.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

\overline{x}-3\sigma=100-3(13)=61

\overline{x}+3\sigma=100+3(13)=139

[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139​.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139​.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139​ is

P=\frac{1}{2}(0.3\%)=0.15\%

Therefore 0.15% of people has an IQ score greater than 139​.

5 0
3 years ago
Solve each quadratic equation by factoring with grouping. 5v2 – 18v = -9
djyliett [7]

Answer:

v = 3 , 3/5

Step-by-step explanation:

5 {v}^{2}  - 18v + 9 = 0 \\ 5 {v}^{2}  - 3v - 15v + 9 = 0 \\ v(5v - 3) - 3(5v - 3) = 0 \\ (5v - 3)(v - 3) = 0 \\ v = 3 \\ v =  \frac{3}{5}

6 0
2 years ago
HELP ASAP PLEASEEEEEE
lord [1]

Answer:

The answer is 90 4/10

Step-by-step explanation:

if u divide 4 from 10 u will get 0.4

3 0
3 years ago
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Can Someone Please Help With my homework
Arada [10]

Answer:

10

Step-by-step explanation:

She already has 75 points. 140-75 is 65. 65/6.5 is 10.

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2 years ago
What is the solution to 2sin^(2)x+sinx+1=0
Alexus [3.1K]
Well you can try rewriting it to this

answer is   d  270

first start of by factoring  and subtracting the 1 into the right side

sin(x)  ( 2 sin (x)  + 1)  = -1  

set each one equal to -1 

sin( x) = -1   and   2 sin (x) +1 =  -1 

                              2 sin (x) = -2
                               sin ( x) = -1 
so therefore we have our final equation

sin ( x )  = - 1  and sin (x) = -1 

so then you look in your unit circle and find what coordinate equals -1 in terms of sin x 

3 0
3 years ago
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