Number of people in the chorus singing baritone = 19
Percentage of men in the chorus singing baritone = 37%
Let us assume the total number of people in the chorus is = x
Then
(37/100) * x = 19
37x = 19 * 100
37x = 1900
x = 1900/37
= 51.35
As the number of people cannot be in fraction, so we can assume that there are either 51 or 52 people in the chorus group.I hope the procedure for getting to the answer is easy for you to understand.
Answer:the present age of the father is 45 years
Step-by-step explanation:
Let x represent the present age of the father.
Let y represent the present age of the son.
Let z represent the age of the daughter.
A father is 3 times as old as his son. This means that
x = 3y
his daughter is 3 years younger than the son. It means that
z = y - 3
The sum of their ages 3 years ago was 63. This means that
x - 3 + y - 3 + z - 3 = 63
x + y + z - 9 = 63 - - - - - - - - - - 1
Substituting x = 3y and z = y - 3 into equation 1, it becomes
3y + y + y - 3 - 9 = 63
5y - 12 = 63
5y = 63 + 12 = 75
y = 75/5 = 15
x = 3y = 3 × 15
x = 45
z = y - 3 = 15 - 3
z = 12
Correct Answer: Option A
The expression given in the statement models the earning of Kayla's Bakery, where x is the number of Online orders.
When x = 0, the number of online orders is 0, the earning of Kayla's Bakery will be 900. These will possibly be the earnings from offline orders.
So, the constant 900 represents the amount Kayla's bakery earns in a particular month when there are no online orders.
You roll a fair 666-sided die. What is \text{P(roll less than 4})P(roll less than 4)start text, P, (, r, o, l, l, space, l, e, s
seraphim [82]
Answer:
Therefore,
Probability for getting a number less than 4 is
![P(Roll\ Less\ than\ 4})=\dfrac{1}{2}](https://tex.z-dn.net/?f=P%28Roll%5C%20Less%5C%20than%5C%204%7D%29%3D%5Cdfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Given:
Let the Experiment be of rolling a 6 sided,
Let the sample space of the above experiment be S,
S = { 1, 2, 3, 4, 5, 6 }
n(S) = 6
Let A be the event of getting a number less than 4,
A = { 1 , 2, 3, }
n(A) = 3
Then the probability for getting a number less than 4 is given by.
![P(A)=\dfrac{\textrm{Favorable Outcomes}}{\textrm{Total number of Favorable Outcomes}}=\dfrac{n(A)}{n(S)}](https://tex.z-dn.net/?f=P%28A%29%3D%5Cdfrac%7B%5Ctextrm%7BFavorable%20Outcomes%7D%7D%7B%5Ctextrm%7BTotal%20number%20of%20Favorable%20Outcomes%7D%7D%3D%5Cdfrac%7Bn%28A%29%7D%7Bn%28S%29%7D)
Substituting the values we get
![P(A)=\dfrac{3}{6}=\dfrac{1}{2}](https://tex.z-dn.net/?f=P%28A%29%3D%5Cdfrac%7B3%7D%7B6%7D%3D%5Cdfrac%7B1%7D%7B2%7D)
Therefore,
Probability for getting a number less than 4 is
![P(Roll\ Less\ than\ 4}=\dfrac{1}{2}](https://tex.z-dn.net/?f=P%28Roll%5C%20Less%5C%20than%5C%204%7D%3D%5Cdfrac%7B1%7D%7B2%7D)
Answer:
Given - PS is parallel to QR
angle QPS is congruent to angle SRQ
To prove - PQ is congruent to RS
Solution -
In triangle PSQ and SQR
Angle PSQ = Angle SQR ( Interior Angle form by the parallel lines are equal i.e PQ is parallel to QR)
Angle P = Angle R (given)
SQ = SQ ( common)
PSQ = SQR ( prove above)
By ASA Congruence criteria Triangle PQS is congruent to triangle QRS
By CPCT PS is congruent to RS
Hence, Proved