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Darina [25.2K]
3 years ago
12

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 17 Use the empirical rule to

determine the following. (a) What percentage of people has an IQ score between 83 and 117 ? (b) What percentage of people has an IQ score less than 49 or greater than 151? (c) What percentage of people has an IQ score greater than 134?
Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

(a) 68%

(b) 0.3%

(c) 2.5%

Step-by-step explanation:

<u>Data</u>

  • mean = 100
  • standard deviation (sd) = 17

(a) mean - sd = 100 - 17 = 83

mean + sd = 100 + 17 = 117

The 68–95–99.7 rule states that 68% of the values are within mean ± 1 sd

(b) mean - 3*sd = 100 - 3*17 = 49

mean + 3*sd = 100 + 3*17 = 151

The 68–95–99.7 rule states that 100% - 99.7% = 0.3% of the values are beyond mean ± 3 sd

(c) mean + 2*sd = 100 + 2*17 = 134

The 68–95–99.7 rule states that 95% of the values are within mean ± 2 sd , this means that 5/2 = 2.5% of the values are below mean - 2 sd, and 2.5% are above mean + 2 sd

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If the mean of 5 positive integers is 15, what is the maximum possible difference between the largest and the smallest of these
Vikki [24]

Answer:

if the 5 numbers are different, the maximum difference is 64

Step-by-step explanation:

We have 5 positive (different) integers, a, b, c, d and e (suppose that are ordered from least to largest, so a is the smallest and b is the largest.

The mean will be:

M = (a + b + c + d + e)/5 = 15.

Now, if we want to find the largest difference between a and e, then we must first select the first 4 numbers as the smallest numbers possible, this is:

a = 1, b = 2, c = 3 and d = 4

M = (1 + 2 + 3 + 4 + d)/5 = 15

M = (10 + d)/5 = 15

10 + d = 15*5 = 75

d = 75 - 10 = 65

then the difference between a and d is = 65 - 1 = 64.

Now, if we take any of the first 4 numbers a little bit bigger, then we will see that the value of d must be smaller, and the difference between d and a will be smaller.

5 0
2 years ago
Can someone help me ): i think you should
Dimas [21]

Answer:

54+90+120+150+54= 468

D would be the answer

5 0
2 years ago
Read 2 more answers
Write these values in order starting with the smallest . <br> 0.15 12% 1/10 1/20
Vikki [24]

Answer:

1/10, 1/20, 12%, 0.15

Step-by-step explanation:

1/20=1÷20=0.05

12%= 12÷100=0.12

1/10= 1÷10= 0.01

6 0
3 years ago
Jada made 316 gallons of lemonade. Jada served 56 gallon to her friends. How much lemonade does Jada have left? Enter your answe
GaryK [48]

Answer:

260 gallons of lemonade

Step-by-step explanation:

Step one:

given data

We are told that Jada made 316 gallons of lemonade.

and later served 56gallons of the lemonade

Required

The remaining Lemonade

Step two

We have the total lemonade as 316

and the deducted as 56

the balance will be

= 316-56

=260 gallons of lemonade

7 0
2 years ago
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theore
velikii [3]

Answer:

RS/VU=ST/UT and ∠S≅∠U

Step-by-step explanation:

we know that

The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

In this problem the included angle is

∠S≅∠U

therefore

side RS must be proportional to side VU  and side ST must be proportional to side UT

so

RS/VU=ST/UT

<em>Verify</em>

substitute the given values

12/6=16/8

2=2 -----> is true

therefore

The two sides are proportional

6 0
2 years ago
Read 2 more answers
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