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kvv77 [185]
3 years ago
11

What is the sum of 5m+3n+p-5p+3n and 2n-m

Mathematics
1 answer:
Kryger [21]3 years ago
7 0
The answer is 4m+8n-4p.

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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

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Simplify the radical
olga55 [171]

Answer:

Step-by-step explanation:

\sqrt[3]{54c}=\sqrt[3]{3*3*3*2c} =3\sqrt[3]{2c}

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2 years ago
Look at the attachment.​
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Answer:

12 cups

Step-by-step explanation:

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3 years ago
Solve the question below 77
Vadim26 [7]

Answer:

<em>The height of the monument is 124.8 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The ratios of the sides of a right triangle are called trigonometric ratios. The tangent ratio is defined as:

\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}

The figure attached below shows the different distances involved in the problem. We heed to find the value of h, the height from Daniel's eyes. Then we'll add it to the 6 ft where his eyes are located from the ground.

Taking the angle of 68° as a reference:

\displaystyle \tan 68^\circ=\frac{h}{48}

Solving for h:

\displaystyle h=48\tan 68^\circ

Calculating:

h = 118.8 ft

The height of the monument is 118.8 ft + 6 ft = 124.8 ft

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