Answer:
y=-5/3x+13.
Step-by-step explanation:
As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.
There are more types of corresponding angles because a line is equal to 180 degrees.
Answer:
0.9544
Step-by-step explanation:
We are given that mean=18 and standard deviation=1 and we have to find P(16<X<20).
P(16<X<20)=P(z1<Z<z2)
z1=(x1-mean)/standard deviation
z1=(16-18)/1=-2
z2=(x2-mean)/standard deviation
z2=(20-18)/1=2
P(16<X<20)=P(z1<Z<z2)=P(-2<Z<2)
P(16<X<20)=P(-2<Z<0)+P(0<Z<2)
P(16<X<20)=0.4772+0.4772=0.9544
The probability that the height of a tree is between 16 and 20 feet is 95.44%
We are required to find the cost of each cherry tree and rose bushes.
The cost of each cherry tree, x is $8 and the cost of each rose bushes, y is $12
let
<em>cost of each cherry tree = x</em>
<em>cost of each cherry tree = xcost of each rose bushes = y</em>
The equation:
7x + 11y = 188 (1)
13x + 11y = 236 (2)
Subtract (1) from (2) to eliminate y
13x - 7x = 236 - 188
6x = 48
divide both sides by 6
x = 48 / 6
x = 8
substitute x = 8 into (1)
7x + 11y = 188 (1)
7(8) + 11y = 188
56 + 11y = 188
11y = 188 - 56
11y = 132
divide both sides by 11
y = 132 / 11
y = 12
Therefore, the cost of each cherry tree, x is $8 and the cost of each rose bushes, y is $12
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