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Lyrx [107]
3 years ago
14

What is the missing exponent in the equation 2? = 16?

Mathematics
2 answers:
Lyrx [107]3 years ago
6 0

Answer:

2^4 =16

Step-by-step explanation:

Rewriting 16

2^n = 2*2*2*2

2^n = 2^4

2^4 = 16

IRISSAK [1]3 years ago
5 0

Answer:

4

Step-by-step explanation:

2x2x2x2 = 16

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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
An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles. Prove th
seraphim [82]

Answer:

The answer is below

Step-by-step explanation:

We must first define the concepts a little:

We have that when the sides are congruent that is to say that they have the same direction and the same size and also the two opposite sides are parallel, the angles will be the same.

Now, in an isosceles triangle, two angles are congruent, because their two sides are congruent.

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What is 12.125 as a fraction 
yulyashka [42]
12 \frac{1}{8}
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bogdanovich [222]

Answer:

1. C=35m?

2.C=700 or $700

Step-by-step explanation:

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2. C=35m

Cost=rate x number of months

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C=700 or Total Cost=$700

6 0
2 years ago
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A playground is constructed with the dimensions and shapes shown below
Alchen [17]

check the picture below.


so the playground is really just 3 rectangles and one triangle, now the triangle has a base of 8 and a height of 6.  We can simply get the area of each figure, sum them up and that's the area of the playground.


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3 years ago
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