Area of a circular play parachute:
A = 324 ft²
A = r² π
r² π = 324
r² = 324 : 3.14
r² = 103.1874
r = √103.1874
r = 10.157987 ≈ 10.2 ft
Gg easy
some properties
alogₓb=logₓbᵃ
logₐaˣ=x
logₐa=1
log(ab)=loga+logb
logₐx=y means a^y=x
3log₃6=log₃216=log₃(2³ times 3³)=log₃(2³)+log₃(3³)=log₃(8)+3
answer is log₃(8)+3 or 3(log₃(3)+1)
If the total capacity of the basket is 24 to find 1/6 you divide 24 by 6 and get 4. 4 is equal to 1/6 of 24 which means Sandra can only bring 4 bananas.
Answer:
Mean = 78.2
Standard deviation = 5.8
Step-by-step explanation:
Mathematically z-score;
= (x-mean)/SD
From the question;
12% of test scores were above 85
Thus;
P( x > 85) = 12%
P(x > 85) = 0.12
Now let’s get the z-score that has a probability of 0.12
This can be obtained from the standard normal distribution table and it is = 1.175
Thus;
1.175 = (85 - mean)/SD
let’s call the mean a and the SD b
1.175 = (85-a)/b
1.175b = 85 - a
a = 85 - 1.175b ••••••••(i)
Secondly 8% of scores were below 70
Let’s find the z-score corresponding to this proportion;
We use the standard normal distribution table as usual;
P( x < 70) = 0.08
z-score = -1.405
Thus;
-1.405 =( 70-a)/b
-1.405b = 70-a
a = 70 + 1.405b ••••••(ii)
Equate the two a
70 + 1.405b = 85 - 1.175b
85 -70 = 1.405b + 1.175b
15 = 2.58b
b = 15/2.58
b = 5.81
a = 70 + 1.405b
a = 70 + 1.405(5.81)
a = 78.16
So mean = 78.2 and Standard deviation is 5.8
