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IrinaVladis [17]
3 years ago
11

help please! what is the equation of the line described below written in slope-intercept form? the line passing through point (4

, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 a) y = -x 1 b) y = x - 1 c) y = 2x 1
Mathematics
2 answers:
Lunna [17]3 years ago
8 0
For perpendicular lines, m1m2 = -1 or m2 = -1/m1; where m1 and m2 are the slopes of the lines.
Here line 1 is 2x - y - 7 = 0
y = 2x - 7; Hence m1 = 2
m2 = -1/2
Required equation y - y1 = m2(x - x1)
y - (-1) = -1/2(x - 4)
y + 1 = -1/2x + 2
y = -1/2x + 2 - 1
y = -1/2x + 1
Vlad1618 [11]3 years ago
5 0

Answer:

y= -1/2x + 1

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Step-by-step explanation:

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Researchers conducted a study to find out if there is a difference in the use of ereaders by different age groups. randomly sele
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No, there is significant difference in the use of e readers by different age groups.

Given sample 1 ( 29 years old) n_{1}=628, p_{1}=7%, sample 2( 30 years old)n_{2}=2309, p_{2}=0.11.

We have to first form hypothesis one null hypothesis and other alternate hypothesis.

H_{0}:π1-π2=0

H_{1}:π1-π2≠0

α=0.05

Difference between proportions p_{1}-p_{2}  =-0.04

p_{d}=0.07-0.11=-0.04

The pooled proportion needed to calculate standard error is:

p=(X_{1} -X_{2} )/(n_{1} +n_{2} )

=(44+254)/(628+2309)

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The estimated standard error of difference between means is computed using the formula:

S_{p_{1} -p_{2} }=\sqrt{p(1-p)/m_{1}+p(1-p)/n_{2}  }

=\sqrt{0.101*0.899/628+0.101*0.899/2309}

=\sqrt{0.000143+0.00003}

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=0.01315

Z= Pd-(π1-π2)/S_{p_{1} -p_{2} }

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This test is a two tailed test so the p value for this test is calculated as (using z table)

p value:2 P(Z<-3.0769)

=2*0.002092

=0.004189

P value< significance level of 5%.

Hence there is enough evidence to show the claim that there is a significant difference in the use of e readers by different age groups.

Learn more about hypothesis at brainly.com/question/11555274

#SPJ4

Question is incomplete as it also includes:

Significance level of 5%.

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