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Aleksandr [31]
2 years ago
6

Find the equation of the line that passes through pionys-1,3 4,5

Mathematics
1 answer:
mina [271]2 years ago
6 0
First, find the slope of your line:
m= y2-y1/x2-x1:
m= 5-3/4--1
m= 2/5

Second, choose a point and plug into y=mx+b to solve for b (y-intercept).
y=mx +b
5 = 2/5(4) +b
5 = 8/5 +b Subtract 8/5 to both sides.
5-8/5 = b find commondenominators & subtract.
25/5 -8/5 =b
17/5 =b

Your final answer/equation of the line is:
y = 2/5x + 17/5


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4 0
2 years ago
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Find the slope of the line: the length of a bus route is 4 miles long on the sixth day and 4 miles long on the seventeenth day.
LiRa [457]
The slope is 0, since it is still 4 miles long for 11 days

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6 0
3 years ago
The thickness of eight pads designed for use in aircraft engine mounts are measured. The results, in mm, are 41.8, 40.9, 42.1, 4
nika2105 [10]

Answer:

We accept H₀ we don´t have enough evidence to support that the mean thickness is greater than 41 mm

Step-by-step explanation:

Sample Information:

Results:

41.8

40.9

42.1

41.2

40.5

41.1

42.6

40.6

From the table we get:

sample mean :  x  =  41.35

sample standard deviation    s = 0.698

Hypothesis Test:

Null Hypothesis                    H₀                x = 41

Alternative Hypothesis        Hₐ                x > 41

The test is a one-tail test

If significance level is  0.01 and n = 8  we need to use t-student distribution

From t-table  α = 0.01  and degree of freedom  df = n - 1  df = 8 - 1

df = 7    t(c) = 2.998

To calculate t(s)  =  (  x  -  41 ) / s/√n

t(s)  =  (  41.35  -  41 ) / 0.698/√8

t(s)  = 0.35 * 2.83/ 0.698

t(s) = 1.419

Comparing   t(s)  and t(c)

t(s) < t(c)

t(s) is in the acceptance region we accept H₀

7 0
2 years ago
Jake has two similar cylindrical pipes. The radius of the first cylindrical pipe is 5 cm. The circumference of the second cylind
Anna11 [10]
V=hpir^2
c=2pir

assuming they havve same height

first one is
v=hpi5^2
v=25hpi

2nd one
c=2pir=20pi
2pir=20pi
2r=20
r=10
v=hpir^2
v=hpi10^2
v=100hpi

big/small=100hpi/25hpir=4

4 times greater
4 0
2 years ago
21 first-graders and 54 other students attended a school assembly. What percentage of the students at the assembly were first-gr
Degger [83]
21+ 54= 76

21/76= 27.6%

5 0
3 years ago
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