Answer:
The answer to your question is the theater is 6.7 mi from home
Step-by-step explanation:
Data
speed 1 = 2 mi/h
time in theater = 2h 15 min
speed 2 = 40 mi/h
time = 3.5 h
Process
1.- Write the formula to calculate speed
speed = distance / time
-Solve for time
time = speed x time
2.- Write and equation to solve this problem
total time = time from home to theater + time from theater to home
3.- Substitution
3.5 = d/2 + d/40
4.- Solve for d
3.5 = (20d + d) / 40
140 = 21d
d = 140 / 21
d = 6.7 mi
Answer:
If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Step-by-step explanation:
The information provided is as follows:
- Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24.
- Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.
The variable <em>x</em> is the number of pairs of pants.
The total cost function for Kelsey will be:

The total cost function for Jeana will be:

Consider that both pay the same total cost for their purchases.
Compute the value of <em>x</em> as follows:


Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Answer:
m∠SRV = 48°
Step-by-step explanation:
In the parallelogram attached,
m∠TUV = 78°
m∠TVU = 54°
By applying the property of the angles of a triangle in ΔTVU,
m∠TUV + m∠TVU + m∠UTV = 180°
78° + 54° + m∠UTV = 180°
m∠UTV = 180° - 132°
= 48°
Sides RS and TU are the parallel sides of the parallelogram and diagonal TR is a transverse.
Therefore, ∠UTV ≅ ∠SRV [Alternate interior angles]
m∠UTV = m∠SRV = 48°
The Yule-Simon distribution is a discrete probability distribution. It is named after Udny Yule and Herbert A. Simon.
The Yule–Simon distribution was originally created by Yule as a limiting distribution model for a particular stochastic process, called the "Yule process" or the "preferential attachment process," in his study of the distribution of biological taxa and subtaxa.
The random variable X is said to have the Yule-Simon distribution if
P (X=k) = <u> 4 </u> where k = 1,2,...<u>
</u> k (k+1)(k+2)