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notsponge [240]
3 years ago
12

A triangle has side lengths of 7.1, 12.6, and b. Which of the following CANNOT be b? (A) 5.7 (B) 7.5 (C) 10.1 (D) 18.5 (E) 19.9

Mathematics
1 answer:
GuDViN [60]2 years ago
8 0

-- When the 7.1 and 12.6 sides both point in exactly the same direction,
their open ends are 5.5 apart.  So the missing side must be greater than 5.5 . 
All of the choices are greater than 5.5 , so we haven't found it yet.

-- When the 7.1 and 12.6 point in opposite directions, their open ends are
19.7 apart.  So the missing side can't be greater than 19.7, otherwise the
two sides we know couldn't reach between its ends.  <u>Choice 'E'</u> is greater
than 19.9, so it can't be the missing side.


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Answer:

(2,-9)

Step-by-step explanation:

-2+4=2

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down=negative

right=positive

left=negative

up=positive

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3 years ago
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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
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What is the nth term of the geometric sequence -2,10,-50
poizon [28]

Answer:

T_n=-1(-5)^n^-^1

Step-by-step explanation:

We are given;

A geometric sequence;

-2,10,-50

Required to determine the nth term

The nth term in a geometric sequence is given by the formula;

T_n=a_1r^n^-^1

where a_1 is the first term and r is the common ratio;

In this case;

a_1=-2

r = 10 ÷ -2

  = -5

Therefore;

To get the nth term in the given geometric sequence we use;

T_n=-1(-5)^n^-^1

Thus, the nth term is T_n=-1(-5)^n^-^1

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