Answer:
B)blocks in 5th row=15+(5-1)(-2)
Step-by-step explanation:
We are given that
Number of block in bottom row=15
Each row has 2 fewer blocks than the previous row
We have to find the formula would you use to find the number of blocks in the 5th row.
Number of blocks in second row=15-2=
Number of blocks in third row=15-2-2=
Number of blocks in 4th row=
Number of blocks in 5th row=
Therefore, number of block in 5th row
This is required formula to find the number of blocks in the 5th row
Hence, option B is true.
B)blocks in 5th row=15+(5-1)(-2)
Answer:
E (Y) = 3
Step-by-step explanation:
If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)
The probability of odd number roll will be, p(T) =
However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) =
In order to calculate: E (Y); We can say Y to be the number of times you roll.
We know that;
E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)
Let us calculate E ( Y|T ) and E ( Y|U )
Y|T ≅ geometric =
Y|U ≅ geometric =
also; x ≅ geometric (p)
∴ E (x) =
⇒ = 4 ; also = 2
E (Y) = 4 × + 2 ×
= 2+1
E (Y) = 3
Answer:
9 1/3, 12 1/2, 14 3/4
Step-by-step explanation:
I assume the formula you’re working with is A=b*h since nothing says otherwise...
((Patio 1))
So you have your area (147) and your base (15 3/4), now you need to plug them in, which should look like this:
147= 15 3/4*h
You need to isolate your h in order to get the missing number, so you should divide both sides by 15 3/4 OR 63/4 ((15*3—>60+3=63))
Dividing by a fraction is the equivalent of multiplying by its reciprocal... so
147 * 4/63 = 588/63 which can be simplified to 84/9 once both the numerator and denominator are divided by 7
In mixed number for it is 9 3/9 which simplified becomes 9 1/3
You solve the other similarly
Answer:
x = 51
Step-by-step explanation:
Here, we want to find the value of x
To do this, we are going to use the appropriate trigonometric identity
We have the side facing the right angle ( hypotenuse) and the side facing the angle given (opposite)
The trigonometric identity that links both is the sine and it is the ratio of the opposite to the hypotenuse
Thus, we have it that;
sine x = 7/9
x = arisine (7/9)
x = 51
Answer:
Therefore,
The volume of the geode, rounded to the nearest tenth is 640.1 feet³.
Step-by-step explanation:
Given:
Geode shaped approximately like a cylinder. such that
Height = h = 26 feet
Diameter = d = 5.6 feet
To Find:
volume of the geode = ?
Solution:
Geode shaped approximately like a cylinder,
So, Volume of Cylinder is given by,
Where,
Height = h
Radius = r
pi = 3.14
Substituting the values we get
Therefore,
The volume of the geode, rounded to the nearest tenth is 640.1 feet³.