Evaluate the expression for x = 23. x − 6 =

ine AB passes through points A(–6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b,

Alja [10]

Y-6=-1/6(x+6)
y = -1/6x +5

m= -1/6
b=5

6 0

3 years ago

Y = -3x - 2 and 5x + 2y = 15

denis-greek [22]

Answer:

(-19, 55)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -3x - 2

5x + 2y = 15

Step 2: Solve for x

Substitution

Substitute in y: 5x + 2(-3x - 2) = 15
Distribute 2: 5x - 6x - 4 = 15
Combine like terms: -x - 4 = 15
Isolate x term: -x = 19
Isolate x: x = -19

Step 3: Solve for y

Define original equation: y = -3x - 2
Substitute in x: y = -3(-19) - 2
Multiply: y = 57 - 2
Subtract: y = 55

8 0

3 years ago

A statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20. Use thi

rjkz [21]

Answer:

\mu = 14.5\\

\sigma = 5.071\\

k = 1.084

Step-by-step explanation:

given that a statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.

i.e. his findings with respect to probability are

$P(9$

Recall Chebyshev's inequality that

$P(|X-\mu |\geq k\sigma )\leq {\frac {1}{k^{2}}}\\P(|X-\mu |\leq k\sigma )\geq 1-{\frac {1}{k^{2}}}\\$

Comparing with the Ii equation which is appropriate here we find that

$\mu =14.5$

Next what we find is

$k\sigma = 5.5\\1-\frac{1}{k^2} =0.15\\\frac{1}{k^2}=0.85\\k=1.084\\1.084 (\sigma) = 5.5\\\sigma = 5.071$

Thus from the given information we find that

$\mu = 14.5\\\sigma = 5.071\\k = 1.084$

5 0

3 years ago

A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of

Nadya [2.5K]

Based on the data, the median time it takes players to complete the game is 1148 minutes.

<h3>What is the median?</h3>

It is the mathematical value that is the middle when values are sorted.

<h3>How to find the median time?</h3>

Organize the values

457 - 548- 866 - 952 - 976 - 1037 - 1148 - 1235 - 1245- 1431-1486 - 1759 - 1864

Identify the value of the middle

Considering there are 13 values, the value of the middle is the value number 7 or 1148.

Note: This question is incomplete because the data is missing, below I attached the missing section,

Learn more about median time in: brainly.com/question/7493103

7 0

2 years ago

What is the percent increase from 250 to 900?

brilliants [131]

900 - 250 = 650

650 / 250 = 13 / 3 = 2.6 = 260%

5 0

3 years ago

Read 2 more answers