<span>4x^2y + 12xy^2 + 9y^3</span>
Answer: Each friend will get 3 gumballs.
Step-by-step explanation:
Given: Pete has 4 packs of gumballs. Each pack has 5 gumballs.
Total gumballs he has = 4 x 5 = 20
Now , if he needs to divide them into 6 friends , then each friend will get (20 ÷ 6) gumballs
So each friend will get 3 gumballs.
Let the number of sports drinks April bought be represented by = s
Let the pizza slices April bought be represented by = p
As she spent a total of $21.25 so equation becomes:
As she bought 3 more sports drinks than pizza slices so, s = p+3
Answer:
Option C is right
Step-by-step explanation:
Given are two samples
I group has sample size 90, mean = 9.2 and std dev =0,.37
II group has sample size 70, mean = 7.3 and std dev = 0.58
we find that mean difference i.e. difference between mean hours of sleep between two groups
= 9.2-7.3 = 1.9
Std error for difference = 0.0620
Since sample size is sufficiently large we can use Z critical for 99%
i.e. 2.58
Margin of error =±2.58(0.062)
=0.16
Hence confidence interval 99% for difference in hours of sleep
= (1.9-0.16,1.9+0.16)
=(1.74, 2.06)
Answer:
Step-by-step explanation:
Given: Quadrilateral PQRS is a rectangle.
To prove: PR = QS
Proof: 1. Quadrilateral PQRS is a rectangle(Given).
2. Rectangle PQRS is a parallelogram (Definition of a rectangle).
3. QP ≅ RS QR ≅ PS (Opposite angles of parallelogram are equal).
4. m∠QPS = m∠RSP = 90° (definition of a rectangle)
5. Δ PQS ≅ ΔSRP (SAS criterion for congruence)
6. PR ≅ QS (Corresponding sides of congruent triangles are congruent).
7. PR = QS (Congruent line segments have equal measures).
