Answer:
Stephanie
Step-by-step explanation:
To compare each runner's speed, we must convert them all to the same units.
Let's convert then all to feet per second.
1. Stephanie
Speed = 13 ft/s
2. Emily
3. Brooke
4. Katie
Stephanie is the fastest runner.
Answer:
a) (C∪P)-B
b) (U-B)∩(U-C)∩(U-P)
c) B∩C∩P
d) P-(B∪C)
e) (B∪C)-P
Step-by-step explanation:
We can use three operations between sets:
- Union: X∪Y is the set of elements that belong to X or belong to Y
- Intersection: X∩Y is the set of elements that belong to X and belong to Y
- Difference: X-Y is the set of elements that belong to X and NOT belong to Y.
The sets we can use in each part are U,B,C and P
a) A customer that likes corn dogs belongs to C, and a customer that likes pizza belongs to P, then a customer who likes corn dogs or pizza belongs to C∪P. The customers from this problem do not like burgers, so they don't belong to B. From this, the required set is (C∪P)-B
b) The customers do not like burgers, so they do not belong to B. However, they visit the restaurant so they belong to U. Thus, the customers belong to U-B. Similarly, because the customers do not like corn dogs and do not like pizza, they belong to U-C and U-P. Then the set of customers is (U-B)∩(U-C)∩(U-P).
c) The customers are in B, C and P so they belong to B∩C∩P.
d) The customers belong to P (they like pizza) but they do not belong to (B∪C), thus they belong to P-(B∪C)
e) The customers belong to B∪C but they do not belong to P, so the required set is (B∪C)-P.
Answer:
First, you multiply 0.07 by 0.15
60 + (0.07) * (0.15)
60 + 0.0105
= 60.0105
I hope this helps!
-Mikayla
First, you need to find how much an ounce costs. To do that, you have to divide 1.39 by 8. Then you get about 0.17. Now, you multiply 0.17 by 14, and get the answer of 2.38. Therefore, a 14-oz bottle of ketchup costs $2.38.
We have that
<span>A (-8, -2) and B(16,6)
step 1
find the distance AB in the x coordinates
dABx=(16-(-8))-----> 24 units
step 2
find coordinate x of P (Px)
Px=Ax+(3/5)*dABx------> Px=(-8)+(3/5)*24----> 6.4
step 3
F</span>ind the distance AB in the y coordinates
dABy=(6-(-2))-----> 8 units
step 4
find coordinate y of P (Py)
Py=Ay+(3/5)*dABy------> Py=(-2)+(3/5)*8----> 2.8
the coordinates of P are (6.4,2.8)
see the attached figure