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Verdich [7]
2 years ago
8

49x - 21y = -1,470 put in slope intercept form

Mathematics
1 answer:
Paul [167]2 years ago
5 0

Answer:

Slope intercept form:

<em>y = mx + b</em>

What we are given:

49x - 21y = -1,470

we need to keep y on the left side so we subtract 49x from both sides;

-49x            -49x

-21y = -49x - 1,470

we need to make y one so we divide by -21 from both sides;

÷-21                ÷-21

y = -49x/-21 - 70

which simplifies to

y = 7x/3 - 70

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prism M and pyramid n have the same base area and the same height. cylinder p and prism Q have the same height and the same base
Katen [24]

Answer:

The volume of cone z has the same base area as cylinder y but its height is 3 times the height of cylinder y have the same volume.

Step-by-step explanation:

The volume of a cylinder having base area 'A' and height 'H' is given by  V = AH, and the volume of a cone having the same base area as the cylinder i.e. A and height 3 times the height of the cylinder i.e. 3H is given by V' = \frac{1}{3} A(3H) = AH.

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Hence, the volume of cone z has the same base area as cylinder y but its height is 3 times the height of cylinder y have the same volume. (Answer)

6 0
3 years ago
A Pew Research study finds that 23% of Americans use only a cell phone, and no land line, for making phone calls (The Wall Stree
azamat

Answer:

We accept H₀ sample does not give evidence to support that the proportion of Americans who solely use cell phone differs from 23 %

Step-by-step explanation:

A pew research finds  that  23 %  ( μ ) of Americans use only cell phone

Sample Information

sample size   n  = 200

x₁  =  51     then   p₁  = 51/200   p₁  =  0,255

and  q₁  =  1  - p ₁    q₁  =  1  - 0,255    q₁  =  0,745

Sample big enough for the approximation of the binomial distribution to the normal distribution

p₁*n  = 0,255 * 200 = 51  > 5   and   q₁*n    = 0,745* 200 =  149 > 5

Test hypothesis

Null hypothesis                       H₀              p₁  = μ = 0,23

Alternative hypothesis           Hₐ              p₁  ≠  0,23

Is a two tail test. We choose CI = 95 %  then significance level is                    α = 0,05 %

α = 0,05 as is a two tail test   α/2  = 0,025

from z-table  z(c) = 1,96

To calculate  z(s) = ( x  -  μ ) /√p₁*q₁/n  

  z(s) = ( 0,255 - 0,23 )/√0,255*0,745/200

z(s)  =  0,025 / 0,0308

z(s)  = 0,81

Comparing z(s)   and  z(c)

z(s) < z(c)      0,81 < 1,96

Then  z(s) is in the acceptance region: we accept H₀

3 0
3 years ago
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inna [77]

Answer:

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Step-by-step explanation:

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Answer:

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