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noname [10]
3 years ago
14

Make a line plot for each set of data.

Mathematics
1 answer:
den301095 [7]3 years ago
3 0

2= 3 times

3= 3 times

4= 4 times

5= 2 times

6= 2 times

7= 1 time

8= 1 times

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Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.
melamori03 [73]

Answer:

a) 0.8413

b) 421

c) P_{95} = 189.675

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of  IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(IQ scores at most 180)

P(x < 180)

P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)

Calculation the value from standard normal z table, we have,  

P(x < 180) = 0.8413 = 84.13\%

b) Number of the members of the club have IQ scores at most 180

n = 500

\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95  

Calculation the value from standard normal z table, we have,  

P(z < 1.645) = 0.95

\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675  

P_{95} = 189.675

8 0
3 years ago
Write an equation of the line that is perpendicular to 2x + 4y = 6 and passes through the point (6, 4) ). es A ) y = 2x + 4 B) y
netineya [11]

Answer:

B - y = 2x - 8

Step-by-step explanation:

Step 1: find slope

2x + 4y = 6

4y = -2x + 6

Make y the subject of the formula

y =( -2x + 6)/4

We can separate to get the slope

y = -2x/4 + 6/4

y = -x/2 + 3/2

Slope m = -1/2

Step 2: using a point slope form equation

y - y1 = m ( x - x1)

Note: if two lines are perpendicular to the other, it is always a negative reciprocal of each other

ie m = 2

Substitute m into the equation

y - y1 = 2(x - x1)

Step 3: sub the point

( 6 , 4)

x1 = 6

y1 = 4

y - 4 = 2( x - 6)

Step 4 : using a slope intercept form equation

Open the bracket

y - 4 = 2x - 12

y = 2x - 12 + 4

y = 2x - 8

The equation of a line is

y = 2x - 8

5 0
3 years ago
The coefficients in the expression of (x+y)^4 are
DENIUS [597]

Answer:

the coefficients are 1,4,6,4,1.

Step-by-step explanation:

I hope this helps

4 0
3 years ago
ANSWER IT CORRECTLY FOR BRAINLIEST Amelia built a scale model of a float, using the scale 48:7. The measurements of the actual f
Rashid [163]

Answer:

The third one :)                          

Step-by-step explanation:

6 0
3 years ago
Oh and alsoo can someone plzzzzz add an explanation
Pani-rosa [81]

Answer:

Brian sold 35 tickets

Step-by-step explanation:

42/6 = 7

7 x 5 = 35

35/42 = 5/6

Brian sold 35 tickets

(I know this isn't part of the question, but Brain didn't sell 7 tickets)

5 0
3 years ago
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