Answer:
B
Step-by-step explanation:
To find the y-intercept, plug in x=0 in the original equation. (You want to find what y is when x=0)
2x + 3y = -12
2(0) + 3y = -12 (Plug in x=0)
3y = -12 (2*0=0, so you can ignore that part)
y = -4 (Divide both sides by 3)
This narrows down our choices to either A or B.
To find the x-intercept, plug in y=0 into the original equation. (You want to find what x is when y=0)
2x + 3y = -12
2x + 3(0) = -12 (Plug in y=0)
2x = -12 (3*0=0, so you can ignore that part)
x = -6 (Divide both sides by 2)
If our x intercept is -6 and our y intercept is -4, that makes our answer B.
Answer:
c. Ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent.
Step-by-step explanation:
Margin of error:
"It means the percentage difference of the result above or below the exact value."
i.e. 4 percent of margin error in the question means that the result will be either 4 percent above the 29 percent or 4 percent below the 29 percent.
OR "the result can vary upto 4 percent above or below the 29 percent."
Let me simplify the answer first in number then convert it percent to understand easily.
29 percent of 1000= (29/100)*1000=290
4 percent of 1000=(4/100)*1000=40
If 290 students had read the declaration of independence at least once with 40 margin of error, then it means the number of students that had read declaration of independence may be 330 or 250
250 is 25% of 1000 and 330 is 33% of 1000, that is why ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent.
Answer:
Solution given:
perpendicular [P]=15m
base[B]=8m
hypotenuse [H]=17m
rate :4 plants per square metre
no of plants=?
we have
Area of triangular garden: ½(P*B)=½(15*8)=60m²
Now
Total no of plants =rate ×Area =4×60=240
Michael needs <u>240</u> plants in the garden
Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²
24+15+11=50, the total number of times the markers were chosen.
Since 11 of these 50 tries resulted in a red and blue marker, the probability is 11/50. This is equal to 0.22 or 22%.
