MATHEMATICS COLLEGE

10 (1/2x+2)-5=3(x-6)+1

Answers

Answer 1

Answer:

Answer:

x = -16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

10(1/2x + 2) - 5 = 3(x - 6) + 1

Step 2: Solve for x

Distribute: 5x + 20 - 5 = 3x - 18 + 1
Combine like terms: 5x + 15 = 3x - 17
Subtract 3x on both sides: 2x + 15 = -17
Subtract 15 on both sides: 2x = -32
Divide 2 on both sides: x = -16

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 10(1/2(-16) + 2) - 5 = 3(-16 - 6) + 1
Multiply: 10(-8 + 2) - 5 = 3(-16 - 6) + 1
Add/Subtract: 10(-6) - 5 = 3(-22) + 1
Multiply: -60 - 5 = -66 + 1
Subtract/Add: -65 = -65

Here we see that -65 does indeed equal -65.

∴ x = -16 is the solution of the equation.

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Here's a graph of a linear function. Write the equation that describes that function.

Answers

Answer:

2/3x + 1

Step-by-step explanation:

The y-intercept is 1. you can see that when x increases three, y increases 2.

Please help me don’t know how to do it,

Answers

Answer:

7=60

6=60

5=120

4=120

2=60

1=120

Answer:

angle 4 and angle 5 is = 120degree

Step-by-step explanation:

For many years, businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees paying for a larger portion of health care benefits. A recent survey showed that 62% of employers are likely to require higher employee contributions for health care coverage this year relative to last year. Suppose the survey was based on a sample of 800 companies likely to require higher employee contributions for health care coverage this year relative to last year. At 95% confidence, compute the margin of error for the proportion of companies likely to require higher employee contributions for health care coverage. (Round your answer to four decimal places.) Compute a 95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage. (Round your answers to four decimal places.)

Answers

Answer:

95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage.

(0.5868 , 0.6532)

Step-by-step explanation:

Step(i):-

Given the survey was based on a sample of 800 companies

Given size 'n' = 800

A recent survey showed that 62% of employers are likely to require higher employee contributions for health care coverage this year relative to last year

sample proportion

p⁻ = 0.62

Step(ii):-

The margin of error for the proportion of companies likely to require higher employee contributions for health care coverage.

$M.E= Z_(0.05) \sqrt{(p^(-) (1-p^(-)) )/(n) }$

$M.E= 1.96\sqrt{(0.62 (1-0.62 )/(800) }$

M.E = 0.017 X 1.96

M.E = 0.03

Step(iii):-

95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage.

$(p^(-) - Z_(0.05) \sqrt{(p^(-) (1-p^(-)) )/(n) } , p^(-) +Z_(0.05) \sqrt{(p^(-) (1-p^(-)) )/(n) })$

$(0.62 - 1.96\sqrt{(0.62 (1-0.62 )/(800) } ,0.62+1.96\sqrt{(0.62 (1-0.62 )/(800) }$

( 0.62 - 0.0332 , 0.62+0.0332)

(0.5868 , 0.6532)

Final answer:

The margin of error for the proportion of companies likely to require higher employee contributions for health care coverage is approximately 0.0245. The 95% confidence interval for the proportion of companies likely to require higher employee contributions is (0.5955, 0.6445).

Explanation:

To compute the margin of error for the proportion of companies likely to require higher employee contributions for health care coverage, we can use the formula:

Margin of error = Z * sqrt((p * (1-p)) / n)

where Z is the Z-score corresponding to the desired confidence level (95% in this case), p is the proportion of companies likely to require higher employee contributions, and n is the sample size. Substituting the given values into the formula, we have:

Margin of error = 1.96 * sqrt((0.62 * (1-0.62)) / 800)

Calculating this value gives us a margin of error of approximately 0.0245.

To compute the 95% confidence interval for the proportion of companies likely to require higher employee contributions, we can use the formula:

Confidence interval = p ± margin of error

Substituting the given values into the formula, we have:

Confidence interval = 0.62 ± 0.0245

Calculating this value gives us a confidence interval of (0.5955, 0.6445).

Learn more about Margin of error for a proportion here:

brainly.com/question/35696858

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Can someone help me ASAP

Answers

Answer:

the y intercept is -4 and the slope is 1

Step-by-step explanation:

10x - 8y =4-5x + 3y = -9

Please solve with elimination i really need the help!!
please show work

Answers

Answer:

x = 6

y = 7

Step-by-step explanation:

Here, (10x - 8y = 4) and (- 5x + 3y = - 9) are two given equation

Now, Name the equation

10x - 8y = 4

take 2 as common we get

2(5x - 4y = 2)

5x - 4y = 2 ...(1)

- 5x + 3y = - 9 ...(2)

Now, Subtract (1) from (2)

5x - 4y = 2

- 5x + 3y = - 9

————————

- y = - 7

y = 7

Now,Put the value of y in equation (1) we get

5x - 4y = 2

5x - 4(7) = 2

5x - 28 = 2

5x = 28 + 2

5x = 30

x = 30÷5

x = 6

Thus,The value of xis6and yis7

FORVERIFICATIONONLY:

5x - 4y = 2

5(6) - 4(7) = 2

30 - 28 = 2

2 = 2

- 5x + 3y = - 9

- 5(6) + 3(7) = - 9

- 30 + 21 = - 9

-9=-9

Hence,L.H.S = R.H.S

-TheUnknownScientist

find sin(alpha-beta) if sin alpha =-5/13 with alpha between pi and 3pi/2; cos beta=2/5 with beta between 3pi/2 and 2pi

Answers

sin(α) = ⁻⁵/₁₃
sin⁻¹[sin(α)] = sin⁻¹(⁻⁵/₁₃)
α ≈ 1.1256π

cos(β) = ²/₅
cos⁻¹[cos(β)] = cos⁻¹(²/₅)
β ≈ 1.6311π

sin(α - β) = sin(1.1256π - 1.6311π)
sin(α - β) = sin(-0.5055π)
sin(α - β) = -sin(0.5055π)
sin(α - β) = -sin(90.99)
sin(α - β) ≈ -0.116

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