Answer:
y = 8
Step-by-step explanation:
Line1 with points (4, 1) and (0, 0):
slope = (y₂ - y₁) / (x₂ - x₁)
= (0 - 1) / (0 - 4)
= 1/4
Perpendicular line is opposite inverse so original slope 1/4 becomes -4/1 or simply -4.
Line2 with points (1, 0) and (-1, y):
slope = (y₂ - y₁) / (x₂ - x₁)
= (y - 0) / (-1 - 1)
= y / -2
y must equal to 8 for the slope to be -4 as stated above.
Answer:
c
Step-by-step explanation:
Answer:
H0 is accepted
there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.
Step-by-step explanation:
Given a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

It found that 368 of the Indians and 130 Asians listened to rap music every day.

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

Alternative hypothesis:- 
Level of significance α = 0.05
The test of statistic

where 
p = 0.414
and q = 1-p = 1- 0.414 =0.586

on calculation , we get
z = 0.300 ><1.96 at 95 % level of significance
H0 is accepted
there is no difference between the proportions of Indian and Asian young people who listen to rap every day.
The correct answer is A.) { - 0.79 ; 1.08 }, because
<span><span> <span>For </span><span>ax^2 + bx + c = 0</span><span>, the value of </span>x<span> is given by:</span></span> <span> ;
a = - 7 ; b = 2 ; c = 6 ;
b^2 - 4ac = 4 + 168 = 172 ; </span></span>

≈ 13.11 ;<span><span>
x 1 = ( - 2 + 13.11 ) / (- 14) = 11.11 / ( - 14 ) </span></span>≈<span><span> -0.79 ;
x = 2 = ( - 2 - 13.11 ) / ( - 14 ) = (-15.11) / (- 14 ) </span></span>≈ 1.08 ;<span><span>
</span></span>
48.5 inches is the answer