Answer:
500 childrens tickets
600 adults tickets
Step-by-step explanation:
$11.00 * 500 = 5,500
$36.00 * 600 = 21,600
21,600 + 500 = 27,100 tickets sold
Answer:
B. <1 = 90, <2 = 40
Step-by-step explanation:
Given that ∆MLN = ∆QPR, it follows that the measure of their corresponding angles would be of the same measure.
<P = right angle = 90°
<1 corresponds to <P, therefore, <1 = 90°
<R = 40°
<2 corresponds to <R, therefore, <2 = 40°.
The answer would be: B. <1 = 90, <2 = 40
Answer:
Step-by-step explanation:
Given: Number of cards a box contains = 10 (numbered 1 through 10).
A random card is picked at first instance and is denoted X and then another card is picked from remaining cards and is denoted as Y
Here E(X) = (1+2+3+4+5+6+7+8+9+10)/10 = 5.5
E(Y)=P(X=1) *E(Y|X=1) +P(X=2) *E(Y|X=2) +. .+P(X=10)*E(Y|X=10)
= (1/10) *(2+3+4+ .+10)/9+(1/10)*(1+3+4+..+10)/9+....+(1/10)*(1+2+3+4+5...+9)/9
= (1/10) *(9/9) *(1+2+3+4+5+6+7+8+9+10) = 5.5
Hence, E(X-Y) = E(X) - E(Y) = 0.000
1) 26 different outcomes are in the sample space.
2) 1 / 26 is the probability that the computer produces the first letter of your first name.
<u>Step-by-step explanation:</u>
<u>1) You have to find out the different outcomes in the sample space :</u>
- A "Sample space" is defined as the set of all the possible outcomes of an event.
- Here, the given event is randomly selecting a letter from the alphabets.
Therefore, the sample space must contain all the possible alphabets that can be chosen randomly.
The sample space is the set of all the 26 alphabets in English language.
⇒ Sample space = {A,B,C,D...........,Y,Z}
⇒ 26 different outcomes.
<u>2) The probability the computer produces the first letter of your first name :</u>
Here, the required outcome is getting the first letter of your first name.
Probability = No. of required outcomes / total no. of outcomes.
For example, The name Alex Davis has the first letter of the fist name as alphabet 'A'.
∴ Probability = 1 / 26
Similarly, for any first name there is going to be any one alphabet from the 26 alphabets, thus the probability to get the first letter will be always 1 / 26.
