Answer:
no of success deemed to be usual 5
that is more than 5 success unusual
Step-by-step explanation:
Given data
number of successes = less than μ − 2.5σ
number of successes = greater than μ + 2.5σ
trials n = 10
probability single trial = 0.2
to find out
is it unusual to have more than five successes
solution
we can say that
mean of the binomial, distribution that is
mean = probability single trial × trials n
mean = 10 × .2
mean = 2
and standard deviation = √(mean× (1-probability))
standard deviation = √2× (1-0.2))
standard deviation = 1.2649
so no of successes are
= μ − 2.5σ and = μ + 2.5σ
= 2 − 2.5(1.2649) and = 2 + 2.5(1.2649)
= -0.16225 and = 5.16225
so now we say no of success deemed to be usual 5
that is more than 5 success unusual here
-4p - 16 = -24
+16 +16
-4p = -8
—— —-
-4 -4
p = 2
<em>5.</em> Input 5 where the x's, 3 = 2(5) - 7 is a true statement. 10 - 7 = 3
3 < 10 - 9 is a false statement, 3 > 1 is a true statement
2 is less than or equal to 11, is a false statement (2 is less than 11, but not equal to)
18 = 30 -12 is a true statement 30 - 12 = 18, 18=18
3= 2 + 5 is a false statement, 3 is not equal to 7
<em>6. </em>7 is less than or equal to 5(4) -16, 20 - 16 = 4, 7 is not less than or equal to 4. Therefore, 4 is not a solution.
<em>7. </em>9(5) - 3 < 60, 45-3 < 60, 42 < 60, 42 is less than 60, so the equation is true.
9(6) - 3 < 60, 54 - 3 < 60, 51 < 60, 51 is less than 60, so the equation is true.
6(7) - 3 < 60, 63 -3 < 60, 60 < 60, 60 is equal to 60, the equation is false.
Answer:
Volume of the prism = 1950unit³ (C)
Step-by-step explanation:
The question is incomplete without the diagram of the oblique prism and its dimension.
Find attached the diagram used in solving the question.
The prism has a rectangular base:
width= 10 units
length = 13 units
The distance between the top and the bottom base = 17 units.
Volume of prism = Area of base × height
Area of base = area of rectangle = Length ×width
= 13× 10
Area of base = 130unit²
To get the height, we would apply Pythagoras theorem
Hypotenuse² = opposite² + adjacent ²
17² = h² + 8²
289 = h² + 64
h² = 289-64 = 225
h = √225
h = 15unit
Volume of the prism = 130 × 15
Volume of the prism = 1950unit³ = 1950 cubic units
Answer:
Step-by-step explanation:
One
The definition of a kite.
Two
Perpendicular. The diagonals meet at right angles
Three
I don't know if the term is still used, but when I first learned this material (many years ago) we called it the reflexive property.
Four
You found out that <AED = <CED which established that both are right angles. The problem is, you do not have enough information to prove SAS.
AAS is never a dependable reason for proving anything conguent.
HL is really your only choice.