The result is
9
a
2
−
16
The reason is the following:
The problem is an example of a notable product: "the sum multiplied by the diference is equal to the difference of squares", that is to say:
(
a
+
b
)
⋅
(
a
−
b
)
=
a
2
−
b
2
.
By applying this to our question, we obtain that:
(
3
a
−
4
)
⋅
(
3
a
+
4
)
=
(
3
a
)
2
−
(
4
)
2
=
9
a
2
−
16
.
Answer:
1/5
Step-by-step explanation:
The Constraint is ; those who rode the bus, hence it is conditional because we aren't focused on students, only students who rode the bus.
Now we want the frequency of those who were late Given that they rode the bus : for these we have 3 students
Total number of students who rode the bus , total possible outcome = 15
Hence, the conditional frequency = (number who rode bus and were late / otal number who rode the bus)
Hence, we have ; 3 / 15 = 1 / 5
Answer:
The shopper should but the 6 pcs pack because its cheaper.
Step-by-step explanation:
6-pcs pack = $2.10
hot dogs needed = 48
number of 6 pcs = 48 divided 6 = 8
total cost = $2.10 x 6 = $16.80
8 pcs pack = $3.12
hot dogs needed = 48
number of 8 pcs packs = 48 divided 8= 6
total cost = $3.12 x 6 =$18.72
hope it helps :)
Answer:
0.02275
Step-by-step explanation:
We use the z score formula to solve for this
z-score is given as: z = (x-μ)/σ
where x is the raw score,
μ is the population mean
σ is the population standard deviation
In the above question:
mean of μ=500
a standard deviation of SD=100
raw score x = 700
Hence, z score = (700 - 500)/ 100
= 200/100
= 2
z score = 2
Using the z score table of normal distribution to find the Probability of z = 2
P( x = z)
= P(x = 700)
= P( z = 2)
= 0.97725
P(x>700) = 1 - P(x = 700)
= 1 - 0.97725
= 0.02275
Therefore, the probability of randomly selecting an individual from this population who has an SAT score greater than 700 is 0.02275
