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Lelechka [254]
3 years ago
14

Solve the following

Mathematics
1 answer:
devlian [24]3 years ago
6 0

Answer:

1)50

2)11

3)18

4) ≠ 5

5) 4

Step-by-step explanation:

1) 2p = 100

p = 100 ÷ 2

= 50

2) x = 11 (just switch the sides as they're the same)

3) 2x = 36

x = 36÷2

= 18

4) 2x+ 4 = 29

2x = 29 - 4 = 25

x²= 25

x = ≠ ✓25

x = ≠ 5

5) x - 5 = -1

x = -1 + 5

x = 4

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The temperature of coffee served at a restaurant is normally distributed with an average temperature of 160 degrees Fahrenheit a
posledela

Answer:

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 160 degrees

Standard Deviation, σ = 5.4 degrees

We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.2

P( X < x) = P( z < \displaystyle\frac{x - 160}{5.4})=0.2  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 160}{5.4} = -0.842\\\\x = 155.4532  

Thus,

P_{20}=155.4532

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.

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3 years ago
What is the length of the hypotenuse of the triangle
kotegsom [21]
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What value is needed to complete the square? Show all steps. <br> x^2 - 2x +__
Sunny_sXe [5.5K]

In completing the square method, considering the equation X^2 - 2x +  the number to be added should be<u> 1 </u>to make it a perfect square

<h3>How to know term that should added</h3>

The standard quadratic equation is of the form

ax^2 + bx + c

The completing the square method is one of the methods of solving quadratic equations

The factor to be added to the equation while using the completing the square method is of the formula

(b / 2a)^2

compared to the equation in the problem X^2 - 2x +

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Learn more on quadratic equations here:

brainly.com/question/29227857

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What are the coordinates for a dilated triangle, A’B’C’, if the scale factor for the dilation is 0.75?
ycow [4]

Answer:

D.

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Step-by-step explanation:

Did this on edgenut and got it right

Hope this helps

6 0
3 years ago
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Is y=x^2-2x-35 standard form or vertex form
Degger [83]

Answer:

Standard Form

Step-by-step explanation:

Vertex form would be: (x-1)^2- 36

7 0
4 years ago
Read 2 more answers
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