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3 years ago

Select the correct locations on the image.

Mathematics

1 answer:

Semenov [28]3 years ago

8 0

This has to be done by hit and trial method. i.e. you have to checking adding which of the function from first column to function in second column will yield h(x).

The following functions yield given value of h(x).

f(x) = -2x + 3
g(x) = 7x - 9

f(x) + g(x) = -2x +3 + 7x - 9
f(x) + g(x) = 5x -6 = h(x)

So, from 1st column its the cell number 3, and from the second column its the cell number 2.

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Please help me number 1

xenn [34]

Answer:

47 degrees

Step-by-step explanation:

You have a straight line, which has an angle measure of 180 degrees.

180-133=47

Your answer can come from the line with 133 on it because the two lines are parallel with a transversal line. Because the two lines are parallel, they have the same interior angle measurements.

4 0

3 years ago

The 2004 presidential election exit polls from the critical state of Ohio provided the following results. There were 2020 respon

lord [1]

Answer: a) $0.490\leq p\leq0.582$

b) $0.501\leq p$

Step-by-step explanation:

Given : Sample size of respondents in the exit polls : n= 2020

Number of respondents voted for George Bush = 412

Sample proportion: $\hat{p}=\dfrac{412}{768}\approx0.536$

a) Critical value for 99% confidence level : $z_{\alpha/2}=2.576$

Confidence interval for proportion:-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$=0.536\pm (2.576)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536\pm0.046\\\\=(0.490,\ 0.582)$

Hence, the 99% confidence interval for the proportion of college graduates in Ohio that voted for George Bush: $0.490\leq p\leq0.582$

b) Critical value for 95% confidence level : $z_{\alpha/2}=1.96$

Lower confidence bound for the proportion :

$\hat{p}- z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.536-(1.96)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536-0.035=0.501$

Hence, a 95% lower confidence bound for the proportion of college graduates in Ohio that voted for George Bush : $0.501\leq p$

7 0

3 years ago

Read 2 more answers

What number x makes the equation 8 to the power of x = 2 correct?

Daniel [21]

A linear equation in one variable has a single unknown quantity called a variable represented by a letter. Eg: ‘x’, where ‘x’ is always to the power of 1. This means there is no ‘ x² ’ or ‘ x³ ’ in the equation.The process of finding out the variable value that makes the equation true is called ‘solving’ the equation.An equation is a statement that two quantities are equivalent.For example, this linear equation: x + 1 = 4 means that when we add 1 to the unknown value, ‘x’, the answer is equal to 4.To solve linear equations, you add, subtract, multiply and divide both sides of the equation by numbers and variables, so that you end up with a single variable on one side and a single number on the other side. As long as you always do the same thing to BOTH sides of the equation, and do the operations in the correct order, you will get to the solution.For this example, we only need to subtract 1 from both sides of the equation in order to isolate 'x' and solve the equation:x + 1 - 1 = 4 - 1Now simplifying both sides we have:x + 0 = 3So:x = 3With some practice you will easily recognise what operations are required to solve an equation.Here are possible ways of solving a variety of linear equation types.Example 1, Solve for ‘x’ :x + 1 = -31. Subtract 1 from both sides:x + 1 - 1 = -3 - 12. Simplify both sides:x = -4Example 2, Solve for ‘x’ :-2x = 121. Divide both sides by -2:2. Simplify both sides:x = -6Example 3, Solve for ‘x’ :1. Multiply both sides by 3:2. Simplify both sides:x = -6Example 4, Solve for ‘x’ :2x + 1 = -171. Subtract 1 from both sides:2x + 1 - 1 = -17 - 12. Simplify both sides:2x = -183. Divide both sides by 2:4. Simplify both sides:x = -9Example 5, Solve for ‘x’ :1. Multiply both sides by 9:2. Simplify both sides:3x = 363. Divide both sides by 3:4. Simplify both sides:x = 12Example 6, Solve for ‘x’ : 1. Multiply both sides by 3: 2. Simplify both sides: x + 1 = 21 3. Subtract 1 from both sides: x + 1 - 1 = 21 - 1 4. Simplify both sides:x = 20Example 7, Solve for ‘x’ :7(x - 1) = 211. Divide both sides by 7:2. Simplify both sides:x - 1 = 33. Add 1 to both sides:x - 1 + 1 = 3 + 14. Simplify both sides:x = 4Example 8, Solve for ‘x’ :1. Multiply both sides by 5:2. Simplify both sides:3(x - 1) = 303. Divide both sides by 3:4. Simplify both sides:x - 1 = 105. Add 1 to both sides:x - 1 + 1 = 10 + 16. Simplify both sides:x = 11Example 9, Solve for ‘x’ :5x + 2 = 2x + 171. Subtract 2x from both sides:5x + 2 - 2x = 2x + 17 - 2x2. Simplify both sides:3x + 2 = 173. Subtract 2 from both sides:3x + 2 - 2 = 17 - 24. Simplify both sides:3x = 155. Divide both sides by 3:6. Simplify both sides:x = 5Example 10, Solve for ‘x’ :5(x - 4) = 3x + 21. Expand brackets:5x - 20 = 3x + 22. Subtract 3x from both sides:5x - 20 - 3x = 3x + 2 - 3x3. Simplify both sides:2x - 20 = 24. Add 20 to both sides:2x - 20 + 20 = 2 + 205. Simplify both sides:2x = 226. Divide both sides by 2:7. Simplify both sides:x = 11

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3 years ago

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A box contains 4 red and 2 blue chips.a chip is chosen at random and then replaced.a second chip is then drawn at random. a) sho

denpristay [2]

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3 years ago

What is the solution to x-2<6 ? x < 6 x>6

True [87]

The solutions are: x=3+ √3 and x=3-√3

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3 years ago