(x - 3) + (x - 6) + x = 63
x - 3 + x - 6 + x = 63
Combine like terms
3x - 9 = 63
Isolate the constant
3x - 9 + 9 = 63 + 9
3x = 72
Isolate the viable
3x / 3 = 72 / 3
x = 24

8 0

3 years ago

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.

7 0

3 years ago

What is the value of x????

inysia [295]

If QR is a median, then:

$\dfrac{NO+MP}{2}=QR$

We have NO = 30, MP = 9x - 42 and QR = x + 15. Substitute:

$\dfrac{30+9x-42}{2}=x+15\qquad\text{multiply both sides by 2}\\\\9x-12=2x+30\qquad\text{add 12 to both sides}\\\\9x=2x+42\qquad\text{subtract 2x from both sides}\\\\7x=42\qquad\text{divide both sides by 7}\\\\\boxed{x=6}$

<h3>Answer: A. 6</h3>

3 0

3 years ago

Which of the following is a function and a relation?​

Which of the following is a function and a relation?