The answer is 47.5.
The equation for this problem is:
60(H) + (M) divided by 2.
Plug the numbers of the time in the equation,
60(3) + (25) / 2
180 + 25 / 2 = 205/2
205/2 = 102.5 (Smaller Angle)
Then you calculate the angle between 12 and the Minute hand 25.
0m= 6M
0m = 6(25)
0m= 150
Final step is to subtract the hour angle by the minute angle.
H(102.5)-(150)= -47.5 or 47.5 degrees
Hope this helps,
kwrob
7.5g of butter
So for 8 pancakes 5g of butter is needed.
So to make one pancake we have to divide 5 by.
5/8 = 0.625
And then you times 0.625 by 12 to find out how much butter is needed for 12 pancakes
So the answer is
7.5g of butter
Answer:
9a^3b^3.
Step-by-step explanation:
The GCF of 9 and 27 is 9.
For a^4 and a^3 it is a^3.
For b^4 and b^3 it is b^3.
Answer is therefore:
9a^3b^3.
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
Answer:
yes he is right
Step-by-step explanation:
