Answer:


Step-by-step explanation:
Given
The attached triangle
Required
Solve for x
Considering angle 45 degrees, we have:
--- cosine formula i.e. adj/hyp
Solve for y

In radical form, we have:



To solve for x, we make use of Pythagoras theorem


Substitute for y


Collect like terms


Solve for x

Answer:
B and D
7/12 cups
Step-by-step explanation:
2 1/3 + 2 1/4 = cups of flour needed
4 = cups of flour had
2 1/3 + 2 1/4
To have the same denominator, we take the lcm
2 + 2 + (4/12 + 3/12) =
2 4/12 + 2 3/12 - 4
Or
2 + 2 + (3 + 4) / 12 - 4
2 + 2 + (3 + 4) / 12 - 4 = 4 7/12 - 4
4 7/12 - 4 = 7/12 cups of flour needed
Using the expected value, it is found that the mean of the distribution equals $0.1.
- The expected value, which is the mean of the distribution, is given by <u>each outcome multiplied by it's probability</u>.
The probabilities of <u>each outcome</u> are:
- .0000001 probability of earning $1,000,000.
- .9999999 probability of earning $0.
Thus, the mean is given by:

Thus showing that the expected value is $0.1.
A similar problem is given at brainly.com/question/24855677
Answer:
3 bags per weekday
Step-by-step explanation:
Total bags of leaves at the end of the week = 26 bags
Bags of leaves she fills over the weekend = 11 bags
Bags of leaves she fills during weekdays = x bags
Total bags of leaves at the end of the week = Bags of leaves she fills over the weekend + Bags of leaves she fills during weekdays
26 = 11 + x
Subtract 11 from both sides
26 - 11 = 11 - 11 + x
15 = x
x = 15 bags
If she fills the same number of bags with leaves on each of the 5 weekdays.
how many bags she filled each weekday.
Bags she filled each weekday = Total Bags of leaves she fills during weekdays / 5 weekdays
= 15 bags / 5 weekdays
= 3 bags per weekday
The y intercept is seven so you would start by placing a point on (0,7). Then you count Down four points because the slope is a negative number and then count nine points to the right. You would have to keep counting down four points and the right nine points until your line was long enough.