Answer:
0.1611
Step-by-step explanation:
Uaing the binomial probability relation :
p = 0.5 ; q = 1 - p = 0.5
n = 10
Using the relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 7) = 10C7 * 0.5^7 * 0.5^3
P(x = 7) = 0.1172
x = 8 ;
P(x = 8) = 10C7 * 0.5^7 * 0.5^3
P(x =8) = 0.0439
P(x = 7 or x = 8) = 0.1172 + 0.0439 = 0.1611
<span>The measure of dispersion that indicates how much scores in a sample vary around the mean of the sample is the standard deviation.</span>
There are three different type
Explain
In math , there are three different type , they are arithmetic progression ( Ap) , Geometric progression and Harmonic
Arithmetic Progression - When a fix constant is added to each number except the first number.
For example : 2,4,6,8,10..... Here 2 is added each time to get the next number.
2. Geometric Progression - When a fix constant is multiplied to each number except the first number.
For example : 2,6,18,54.... Here 3 is multiplies each time to get first number.
3. Harmonic - a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression.
For example : 1/2 , 1/4 , 1/6, 1/8 ....
See attachement for the diagram of the triangle
Answer/Step-by-step explanation:
To find the length of HJ, we can use different equations as follows:
✔️Recall: SOHCAHTOA
Let's take <G as the reference angle = 28°
Opposite side to reference angle = HJ
Hypotenuse = 20
Apply SOH.
Thus:
Sin 28° = opp/hyp
Sin 28° = HJ/20 (Alex's equation is correct).
Solving further, we would have:
HJ = Sin 28 * 20 ≈ 9.4
✔️Another way is by using <H as the reference angle.
m<H = 180° - (90° + 28°) (sum of triangle)
m<H = 62°
Adjacent side to reference angle (<H) = HJ
Hypotenuse = 20
Apply CAH:
Cos 62° = Adj/Hyp
Cos 62° = HJ/20 (Marlene's equation is correct)
Solving further, we would have,
HJ = Cos 62° * 20 ≈ 9.4
As you can see, the equation of both students are correct. Both would arrive at the same answer using any of the two equations.
