Things I like about distance learning are:
Things I dislike about distance learning:
Hope this helps! Good luck on your project! :)
Answer: .833333
Step-by-step explanation:
5/6
You could get a 1, 2, 3, 4, 6
So 5 in total over 6 options
Answer:
m<1 = 60
m<2 = 30
m<3 = 80
Step-by-step explanation:
1. Solve for angle (1)
The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;
(30) + (m<1) + (90) = 180
Simplify,
120 + m<1 = 180
Inverse operations,
m<1 = 60
2. Solve for angle (2)
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,
m<2 = 30
Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.
3. Solve for angle (3)
As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.
(m<2) + (70) + (m<3) = 180
Susbtitute,
30 + 70 + (m<3) = 180
Simplify,
100 + m<3 = 180
Invers eoperations,
m<3 = 80
house in Kenton County, what is the probability the house size is:
a. over 1371 square feet?
O Z=
o probability =
b. under 1296 square feet?
O Z=
o probability =
c. between 773 and 1637 square feet?
o zl =
o Z2 =
o probability =
Note: Z-scores should be rounded to 2 decimal places & probabilities should be
rounded to 4 decimal places.
License
Points possible: 8
This is attempt 1 of 3.
Answer:
(a) The probability that the house size is over 1371 square feet is 0.4483.
(b) The probability that the house size is under 1296 square feet is 0.3974.
(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.
Step-by-step explanation:
We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346 square feet with a standard deviation of 191 square feet.
Let X = the sizes of houses in Kenton County
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = mean size of houses = 1346 square feet
= standard deviation = 191 square feet
(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)
P(X > 1371) = P( > ) = P(Z > 0.13) = 1 - P(Z 0.13)
= 1 - 0.5517 = 0.4483
The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.
(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)
P(X < 1296) = P( < ) = P(Z < -0.26) = 1 - P(Z 0.26)
= 1 - 0.6026 = 0.3974
The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.
(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)
P(773 < X < 1637) = P(X < 1637) - P(X 773)
P(X < 1637) = P( < ) = P(Z < 1.52) = 0.9357
P(X 773) = P( ) = P(Z -3) = 1 - P(Z 3)
= 1 - 0.9987 = 0.0013
The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.
Therefore, P(773 square feet < X < 1637 square feet) = 0.9357 - 0.0013 = 0.9344.
The equation of line passing through points (-4, 1) and (2, 3) will be
3y = x + 7
An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value. The general equation of a straight line inequality is -
[y] < [m]x + [c]
[y] > [m]x + [c]
[y] ≥ [m]x + [c]
[y] ≤ [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight lineinequality can be also written as -
Ax + By + C > 0
By > - Ax - C
y > (- A/B)x - (C/A)
Given is inequality's solution graphed [Refer to graph attached].
The inequality whose solution is graphed is -
5x + 3 > 3
On solving -
5x + 3 > 3
5x + 3 - 3 > 3 - 3
5x > 0
x > 0
Therefore, the inequality whose solution is graphed is
5x + 3 > 3
(Refer the image attached, for reference)
To solve more questions on inequalities, visit the link below -
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Liam’s method fails to consider whether he has written any outstanding checks.
b.
The reconciliation worksheet will not work properly using Liam’s adjusted checkbook balance.
c.
Liam could have unexpected non-sufficient funds fees due on any checks that have not yet cleared the bank.
d.
All of the above.
Please select the best answer from the choices provided
A
B
C
D
All of the above is wrong with Liam’s method and is therefore denoted as option D.
What is a Checkbook?
This is defined as a book containing blank checks to be drawn on a bank. The available and checkbook balance may vary especially if not all checks haven't been drawn.
The problem with Liam’s method therefore include the following:
Read more about Checkbook here brainly.com/question/10138203
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