Answer:
The ninth term would 0.25.
Step-by-step explanation:
The pattern happening here is that the number is being divided by 2.
So, continuing the pattern, continue dividing by 2.
8÷2= 4 ----> 5th term
4÷2= 2 ----> 6th term
2÷2= 1 ----> 7th term
1÷2= 0.5 ----> 8th term
0.5÷2= 0,25 ---> 9th term
Hello!
Answer:
To find the numerator and denominator, we can set up a proportion where:
x = denominator
x -8 = numerator
Cross multiply:
Simplify:
Substitute in this value of x to find the numerator and denominator:
Hope this helped you! :)
Answer:
Step-by-step explanation:
1.5 x 4.5 x 4.5 = 30.375
30.375 ÷ 3 = 10.125
10.125= volume of the triangle
3 x 4.5 x 4.5 = 60.75
60.75 = volume of rectangle
60.75 + 10.125 = 70.875
70.875 = total volume
Let X be the answers all 48 questions on a multiple-choice test by guessing.
<span>p = 1/4 </span>
<span>q = 1 - 1/4 = 3/4 </span>
<span>n = 48 </span>
<span>μx = n*p = 48*(1/4) = 12 </span>
<span>σx = sqrt(n*p*q) = sqrt(4/*(1/4)*(3/4)) = 0.8660254038 </span>
<span>P(X = 15) = P(X ≤ 16) - P(X ≤ 14) = P((X - 12)/0.8660254038 ≤ (16 - 12)/0.8660254038) - P((X - 12)/0.8660254038 ≤ (14 - 12)/0.8660254038) = P(Z ≤ 4.62) - P(Z ≤ 2.31) = 1 - 0.9896 = 0.0104 </span>
<span>You could use the binomial distribution: </span>
<span>P(X = 15) = 0.07670882173 </span>
<span>(48) </span>
<span>(15)*((1/4)^15)*(3/4)^33 = 0.07670882173</span>
Answer:
Choice D). is correct.
Step-by-step explanation:
Given function graph is sinusoidal so let's compare with formula
We know that amplitude is the height from the center line to the peak (or to the trough). From graph we can see that height from the center line to the peak is 20
So amplitude A=20
In that formula, period is given by
From graph we see that period is
So both must be equal
cross multiplying them gives
B=4
Clearly there is no shift so C and D are 0
Now plug these values into formula
Hence choice D is correct.