from the question, we were told that the probability of Levente passing each of the module is 0.78
therefore,
a) the probability of Levente passing all three modules is
= 0.78^3
= 0.47
b) the probability of Levente passing two of the modules is
= (0.78^2)(1 - 0.78)
= (0.6084)(0.25)
= 0.15
c) the probability of Levente passing none of the modules is
= (1 - 0.78)^3
= (0.25)^3
= 0.015
3% of $2,700
Multiply 2,700 times 0.03.
(2,700)(0.03) = 81
$81.00 interest is earned on $2,700 a year if it is invested at 3%.
Answer:
B y ≥ 4x + 2
Step-by-step explanation:
1. find slope of the line: (y² - y¹) / (x² - x¹)
(0, 2) and (-1, -2)
(-2 - 2) / (-1 - 0) = -4 / -1 = 4
y = 4x + 2*
*+2 because that is the y-intercept as shown by point (0, 2)
2. the line is solid, therefore the inequality is ≤ or ≥. dashed line would mean < or >
3. the shaded region is on the right side of the line, so the values are greater than. therefore, you use ≥
4. final equation: y ≥ 4x + 2
Answer:
m2 = 145
m3 = 145
m4 = 35
Step-by-step explanation:
m<1 = m<4 because of vertical angles
m<2 + m<1 = 180
m<2 + 35 = 180
m<2 = 145
m<2 = m<3 because of vertical angles
Answer:
<h2>B. 7</h2>
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached.
From the diagram it can be seen that the line is parallel to the y axis, hence we are going to locate each endpoints on the y axis.
The lower end point is on 2units while the upper end point is on 9 units both on the y axis. The distance between this two points will be the difference between the end point values i.e 9-2 = 7 units.
<em>Hence the distance between the two points shown is 7 units</em>
<em></em>