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KonstantinChe [14]
3 years ago
9

PLEASE HELP, I NEED THE ANSWERS ASAP, I WILL AWARD BRAINLIEST!

Mathematics
1 answer:
Georgia [21]3 years ago
8 0

Answer:

1. The larger number is 2x + 7. The smaller number is x.

Let x be the smaller number

(7 + 2x) + x = 43

Since they are all in addition, we can get rid of the parenthesis.

7 + 2x + x = 43

2x and x are similar variables, we can add them both together.

7 + 3x = 43

7 + (-7) + 3x = 43 + (-7)

3x = 36

3x/3 = 36/3

x = 12

Let's check

[7 + 2(12)] + 12

(7 + 24) + 12

31 + 12 = 43

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The stronger the evidence is against the null hypothesis, the higher the divergence from it.

What do you mean by null hypothesis ?

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is H_{0}. To determine if a theory regarding markets, investing methods, or economies is correct or wrong, quantitative analysts employ the null hypothesis,

The null hypothesis states that the percentage of the population who works full time is 0.45.

As a result, 450 persons who are randomly selected from a population of 1000 work full-time.

A different hypothesis states that the ratio is higher than 0.45.

In the options provided, the proportion for the first option is 300/1000, or 0.3.

In the second choice, 500/1000 equals 0.5

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To learn more about the null hypothesis from the given link.

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Write the equation of a line perpendicular to y=0.25x-7 and passes through the point -6,8
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the equation of a line perpendicular to y=0.25x-7 and passes through the point (-6,8) is y=-4x+30

Step-by-step explanation:

We need to write equation of line perpendicular to y=0.25x-7 and passes through the point (-6,8)

Since the line y=0.25x-7 is in slope-inetercept form y=mx+b

the slope of line m = 0.25

As, the new line is perpendicular to the given line so, slopes of lines that are perpendicular are: slope = -1/slope1

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Now, finding y-intercept.

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Now the equation of the required line having slope m= -4 and b =30 will be:

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So, the equation of a line perpendicular to y=0.25x-7 and passes through the point (-6,8) is y=-4x+30

Keywords: Equation of line, slope-intercept form

Learn more about slope-intercept form at:

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