Answer: a=3.74
Step-by-step explanation:
first use 15 to solve for x and z. x=7.5 and z=12.99 or 13. Once you know x you can use that to solve for y and a. y=6.5 and x=7.5 and using pythagorean theorem you will find that a= the square root of 14 or 3.74.
Answer:
Central angle is equal in both circles
And the two triangles inscribed in circle is congruent.
Step-by-step explanation:
We have been given the two circles which are congruent O and P.
Ab is congruent to DE
So, the central angle of two circles will be equal circles being congruent.
And the two triangles AOB and EPD are congruent
Radius of the congruent circle is equal
Hence, OB=PD
AB=DE
And ∠BOA=∠DPE
By SAS property ΔAOB ≅ΔEPD
Answer: N=-4
Step-by-step explanation:
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
-4n - 9 = -1 • (4n + 9)
Equation at the end of step
2
:
-3 • (4n + 9) - 21 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
-12n - 48 = -12 • (n + 4)
Equation at the end of step
4
:
-12 • (n + 4) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : -12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : n+4 = 0
Subtract 4 from both sides of the equation :
n = -4
One solution was found :
n = -4
M=14 just do the opposite of PEMDAS and leave m on the left to find the answer
Answer:
The probability that a manufactured ball will be rejected is 0.99, to two decimal places.
Step-by-step explanation:
The mean weight is 16 Ibs. The standard deviation of the weights of all manufactured balls from the mean weight is 25. The distribution is normal. With a standard deviation this large, it is already obvious that there is a high probability of producing or having rejected balls. The weights of the balls produced here ranges from (16-25)Ibs to (16+25)Ibs.
That's -9Ibs to 41Ibs.
The minimum permissible weight is 15.68. Any ball with a lesser weight gets kicked out!
So the distance or difference between this figure and the mean is (16-15.68) = 0.32
So the probability of obtaining less than 15.68Ibs or the probability of having balls between the lower boundary of -9Ibs and 15.68 is:
25-0.32 = 24.68
24.68 ÷ 25 = 0.9872 ~ 0.99 to two decimal places.
