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Alenkinab [10]
3 years ago
7

Write the equation of a line perpendicular to the line y = 2x - 3 that goes through point (4,3). Convert the line to Slope-Inter

cept Form.
Mathematics
1 answer:
timama [110]3 years ago
5 0

Answer:

y=-1/2x+5

Step-by-step explanation:

a line perpendicular to a given line will have a slope that is the negative reciprocal of the given one. this means the slope of the line perpendicular to the given one would be -1/2.

How I got this: 2 as a fraction would be 2/1, so the reciprocal would be 1/2, but we want the NEGATIVE reciprocal, so we multiply the fraction by -1, which gets us -1/2.

Now we know the slope of the equation that passes through (4,3) which is perpendicular to the given line.

y=-1/2x+b

b is the y-intercept, so we use the point (4,3) and the slope we were given to find out b.

when the point's x value is 0, the y value is the y intercept.

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3 years ago
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Pie

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Step-by-step explanation:

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4 0
2 years ago
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Is there several ways to list the partial products of 35x7
Galina-37 [17]
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6 0
3 years ago
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In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S
lys-0071 [83]

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

8 0
3 years ago
Please help me with this one
Nesterboy [21]

Answer:

240

Step-by-step explanation:

well do *

so 8x6x5 = 240 there's your answer

3 0
3 years ago
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