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Alenkinab [10]
3 years ago
8

The scale of scores for an IQ test are approximately normal with mean 100 and standard deviation 15. The organization MENSA, whi

ch calls itself the “high IQ society”, requires a score of 130 or higher. What percent of adults are between IQ of 100 and 130 ?
A)68%
B)47.5%
C)95%
D)81.5%
Mathematics
1 answer:
Zina [86]3 years ago
5 0

Answer:

B) 47.5%

Step-by-step explanation:

Refer to the normal distribution chart attached. If 130 is 2 standard deviations higher than the mean (ignore the numbers beneath the percentages), then by the empirical rule, this means that 34%+13.5%=47.5% of adults are between IQs of 100 and 130. Therefore, option B is correct.

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What is the equation of the line in point slope form
Phoenix [80]
Well... to solve use rise over run... that is to find the slope,
now to find the y-intercept you look at what coordinate crosses the y-axis. 
y= (what you got for the slope Ex. 1/2)x + (the y-intercept)

Figure it out and you got the answer with just a bit of help!!!

Hope this helps!
5 0
3 years ago
Rewrite 3/35 and 1/10 so they have common denominators
Aleks [24]

Answer:

\frac{6}{70} and \frac{7}{70}

Step-by-step explanation:

The LCM of 35 and 10 is 70.

35×2=70

10×7=70

You got to multiply 3 with 2 and 1 with 7 to make 6/70 and 7/70.

5 0
3 years ago
The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b
Tju [1.3M]
Find the roots

solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
8 0
3 years ago
Brooke found the equation of the line passing through the points (–7, 25) and (–4, 13) in slope-intercept form as follows. Step
Katen [24]

Answer: She mixed up the slope and y-intercept when she wrote the equation in step 3.

Step-by- explanation:

Hope this helps :)

8 0
3 years ago
Read 2 more answers
will the opposite of a number always,sometimes,or never be greater than the number itself??????? can someone do an example and a
weeeeeb [17]

When the number is positive, its opposite is less than the number.

9 ==> -9 . . . . . . less
72 ==> -72 . . . . less
324 ==> -324 . . less


When the number is negative, its opposite is greater than the number.

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-429 ==> 429 . . greater .

We've seen that the opposite can be less, and it can also be greater.
I guess that means that it's sometimes greater.

8 0
3 years ago
Read 2 more answers
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