Answer:
x = 9/5
Step-by-step explanation:
Answer:1
1. 
2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°
Step-by-step explanation:
It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°
We know this using the formula
, a 4 sided figures angles will add up to

This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.

Combine like terms:

Divide both sides by 12:

We know now substitute x for 30 in for all of the side lengths.
∠ABC = 4x =
°
∠BCD = 3x =
°
∠CDA = 2x =
°
∠DAB = 3x =
°
Hope this helped!
Answer:
4/15 of an inch
Step-by-step explanation:
=> At that rate, the distance the worm would go in 1 minute is:
D = (4/5)/3 = 4/(5x3) = 4/15 of an inch
Hope this helps
Have a great day
~Zero
Answer:
13.5
Explanation:
The equation to find the slope (another word for the rate of change) of the line is (y2-y1)/(x2-x1) when the given points are (x1,y1) and (x2,y2).
When we plug in the given points, (3,-7) and (5,20) we can start solving.
(y2-y1)/(x2-x1)
(20-(-7))/(5-3)
Two negatives make a positive
= (20+7)/(5-3)
= 27/2
= 13.5
I hope this helps!
Answer:
Step-by-step explanation:
The pdf of the number of cheesecakes that they sell in a given day: by a bakery are as follows:
X 0 5 10 15 20
P 0.25 0.47 0.12 k 0.15
Use total prob =1, to find k .
k = 0.01
a) the probability of selling 15 cheesecakes in a given day = 0.01
b. What is the probability of selling at least 10 cheesecakes =P(X≥10)
= 0.28
c. the probability of selling 5 or 15 chassescakes P(5)++P(15)=0.48
d. the probaility of selling 25 cheesecakes = 0
e. Give the expected number of cheesecakes sold in a day using the discrete probability distribution?
=
f. the probability of selling at most 10 cheesecakes
=P(X≤10)
= 0.84