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agasfer [191]
2 years ago
10

Part F

Mathematics
1 answer:
Rina8888 [55]2 years ago
7 0

Answer:

my last answer is correct

Step-by-step explanation:

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A line passes through (1, –5) and (–3, 7).
Brilliant_brown [7]
Slope of the line =(7- -5) / (-3-1) = 12 / -4 = -3

a. point slope form is y + 5 = -3(x - 1)  Answer

b  rearrange to slope-intercept form:-
 y = -3x + 3 - 5
y = -3x - 2  Answer
5 0
3 years ago
A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector
babunello [35]

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

r = 4

8 0
3 years ago
Find the value of x in the figure<br> (X+5)* 90*
ra1l [238]

Answer:

x = 85 deg

Step-by-step explanation:

We can see that there are two straight lines that intersect and that the two angles given are opposite angles.

Because they are opposite angles, the two angles have the same value, i.e

(x + 5) = 90     (subtract 5 from each side)

x = 90 - 5

x = 85 deg

5 0
3 years ago
The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we w
Sati [7]

Answer:

The sample size is  n  = 600

Step-by-step explanation:

From the question we are told that

    The  sample proportion is  \r  p = 0.48

     The  margin of error is  MOE  =  0.04

Given that the confidence level is 95%  the level of significance is mathematically represented as

        \alpha  =  100 - 95

        \alpha  =  5 \%

        \alpha  =  0.05

Next  we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the values is

                   Z_{\frac{\alpha }{2}  } =  1.96

The reason we are obtaining critical value of    \frac{\alpha }{2} instead of    \alpha is because  

\alpha represents the area under the normal curve where the confidence level interval (  1-\alpha) did not cover which include both the left and right tail while  

\frac{\alpha }{2} is just the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

      MOE  =  Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{\r p(1-  \r p )}{n} }

substituting values

          0.04= 1.96*  \sqrt{ \frac{0.48(1-  0.48 )}{n} }

         0.02041 = \sqrt{ \frac{0.48(52 )}{n} }

         0.02041 = \sqrt{ \frac{ 0.2496}{n} }

          0.02041^2  = \frac{ 0.2496}{n}

           0.0004166 = \frac{ 0.2496}{n}

=>       n  = 600

   

5 0
3 years ago
Work out an equation of the straight line with gradient 3 that passes through the point with coordinates (2, 4).
Gnom [1K]

Answer:

The answer is

\huge \boxed{y = 3x - 10}

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (2, 4) and the slope is 3

The equation of the line is

y - 4 = 3(x - 2) \\ y + 4 = 3x - 6 \\ y = 3x - 6 - 4

We have the final answer as

y = 3x - 10

Hope this helps you

3 0
3 years ago
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