Answer:
0.15
Step-by-step explanation:
<u>Independent Probabilities Formula</u>
P(A | B) = P(A) = P(A ∩ B) ÷ P(B)
P(A | B) = 0.25
P(A) = 0.25
P(B) = 0.6
If P(A) = P(A ∩ B) ÷ P(B)
P(A ∩ B) = P(A) × P(B)
P(A ∩ B) = 0.25 × 0.6
P(A ∩ B) = 0.15
Answer:
The average rate of change is -3.
Step-by-step explanation:
Given : Function 
over the interval 2 ≤ x ≤ 4.
To find : What is the average rate of change ?
Solution :
Function over [2,4]
The rate of change is the slope of the line,
So, 
Substitute,
Therefore, The average rate of change is -3.
<span>1) Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). y = 1/2x
2)Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1).
m = (-9 - 1) / (6 - 7) = -10/-1 = 10
y + 9 = 10 (x - 6)
y = 10x - 69
3) A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.
4)Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4).
m = (5 - 4) / (-3 - -1) = 1/-2
y - 5 = (-1/2) (x +3)
y = (-1/2)x + 7/2
5) Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1).
m = (6-1)/(6 - -6) = 5 / 12
y - 6 = (5/12) (x-6)
y = (5/12)x + 17 / 2
6) Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4).
m = (2 - -4) / (-8 -1) = 6 / -7
y - 2 = (-6/7) (x + 8)
y = (-6/7)x - 50 / 7
7) Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1).
m = (-9 - 1) / (5 - -6) = -10 / 11
y + 9 = (-10 / 11) (x - 5)
y = (-10 / 11)x -49/11
</span>
Given ,
Concentrate= 250 mL
Water = 1 liter = 1000 mL
A) ratio is 250:1000 = 1:4
B) for 250 mL it is 1 liter now for 2000mL it is X .
=> x = 2000/250 = 8 liters
C) volume of water in 6L of made up juice is 1500 mL
D) 1 liter - 5 glasses
For 80 glasses it would be 80/5 = 16 glasses
Answer:
A. 0
B. -66
C. 4
D. 998
E. -12
Step-by-step explanation:
A. By definition, the sum of anything and its additive inverse is zero.
__
B. If you have trouble with sums, your calculator can help.
-22 + (-44) = -22 -44 = -66
__
C. -36/x = -9 can be solved by multiplying by x and dividing by -9:
-36 = -9x
-36/-9 = x = 4
Since the product of the divisor and quotient is the dividend, dividing the dividend by either gives the other. Here, your dividend is -36 and your quotient is -9. To find the divisor, you can divide -36 by -9, as we did.
__
D. The absolute value function changes the sign of negative numbers to positive:
|-998| = 998
__
E. If you have trouble with sums, your calculator can help.
(−2)−[(−3)−(−7)−(−6)]
= -2 -(-3 +7 +6) = -2 -10 = -12
