Answer:
y+8 = 2(x-4)
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. Since we know the slope of the first line is -1/2, this means the slope of the line perpendicular to it is 2.
And since we know the coordinated located on the line, we can fill out the formula for poiny-slope form:
y-y1 = m(x-x1)
Answer:
17 in²
Step-by-step explanation:
area is equal to base multiplied to height by 2
base=3.23 in
height=5.12in
area of one triangle = 5.12 * 3.23/2
= 16.536/2
= 8.2688
these triangles are congruent so area of other triangle is also equal to 8.2688
total area= 2*8.2688
= 16.5376
round off
answer =17 in²
Answer:
(a) 0.119
(b) 0.1699
Solution:
As per the question:
Mean of the emission, 
million ponds/day
Standard deviation, 
million ponds/day
Now,
(a) The probability for the water pollution to be at least 15 million pounds/day:
= 1 - P(Z < 1.178)
Using the Z score table:
= 1 - 0.881 = 0.119
The required probability is 0.119
(b) The probability when the water pollution is in between 6.2 and 9.3 million pounds/day:
P(Z < - 0.86) - P(Z < - 1.96)
Now, using teh Z score table:
0.1949 - 0.025 = 0.1699
<u>Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.</u>
Answer:
<em>1300 children attended the basketball game</em>
Step-by-step explanation:
System of Equations
Let's call:
x = number of children attending the basketball game
y = number of adults attending the basketball game
On a certain night, 1500 people enter the game, thus:
x + y = 1500 [1]
Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:
3.50x + 7.50y = 6050 [2]
From [1]:
y = 1500 - x
Substituting in [2]:
3.50x + 7.50(1500 - x) = 6050
Operating:
3.50x + 11250 - 7.50 = 6050
-4x = 6050 - 11250
Solving:
x = 1300
1300 children attended the basketball game
Answer:
<h3>21mi/gn</h3>
Step-by-step explanation:
<h3>7mi/1/3gncalculate the product</h3>
7mi/gn/3simplify the complex fraction
<h3><em>So </em><em>the </em><em>answer </em><em>is=</em><em>2</em><em>1</em><em>m</em><em>i</em><em>/</em><em>gn</em></h3>
<h3><em>Hope </em><em>it </em><em>helps</em></h3>
