Answer:
S={(heart), (diamond), (club), (spade)}
Step-by-step explanation:
In probability, a set is a well-defined collection of objects, product of an independent successful operation.
A sample space is the combination of all possible outcomes in an operation, so in this case, when we select one card and record the denomination, then we need to check what characteristic from the card are we looking for, from the problem we can see that is the denomination by itself, not the color, the number of the card, or anything else, and we only have 4 options of denomination so the sample space would be:
S={(heart), (diamond), (club), (spade)}
Credit to this answer goes to @ibranoguera
Hope this helps :))
Answer:
Children = 51
Adults = 42
Students= 84
Step-by-step explanation:
Children = $2
Students = $3
Adults = $4
Total sales = $522
Total people who attended = 177
Adults =a
Students = s= 2a
Children = c
c+s+a = 177 (1)
2c+3s+4a=522 (2)
Substitute s=2a into the equations
c + 2a + a = 177
c + 3a = 177 (3)
2c + 3(2a) + 4a = 522
2c + 6a + 4a = 522
2c + 10a = 522 (4)
c + 3a = 177 (3)
2c + 10a = 522 (4)
Multiply (3) by 2
2c + 6a = 354 (3b)
2c + 10a = 522
Subtract (3b) from (4)
10a - 6a = 522 - 354
4a = 168
Divide both sides by 4
a= 168/4
= 42
a= 42
s= 2a
= 2(42)
= 84
s= 84
Substitute the value of s and a into (1)
c+s+a = 177 (1)
c + 84 + 42 = 177
c + 126 = 177
c = 177 - 126
= 51
c=51
Children = 51
Adults = 42
Students= 84
Draw a horizontal line AB of length 15 miles to represent the positions of the two forest rangers.
Point A is to the left and point B is to the right.
Complete triangle ABC so that m∠A = 41° and m∠B = 56°.
The point C represents the location of the fire.
Let x = length of BC. It is the shortest distance from the forest ranger B to the fire because BC is opposite the smaller angle of 41°.
Because the sum of angles in a triangle is 180°,
m∠C = 180° - (41° + 56°) = 83°.
From the Law of Sines,
x/sin(41) = 15/sin(83)
x = 15*[sin(41)/sin(83)] = 9.915 mi
Answer:
The forest ranger closest to the fire is at a distance of 9.92 miles (nearest hundredth).
The scatter plot showing data gathered and line of best fit is attached below :
Answer:
69
Step-by-step explanation:
Given the regression model :
y = 1.73x + 0.0924
Where,
y = number of pink flowers
x = Red flowers
Slope = 1.73
Intercept = 0.0924
The number of pink flower that are predicted to bloom on a shrub of 40 red flowers :
Put x = 40 and calculate the value of y
y = 1.73(40) + 0.0924
y = 69.2 + 0.0924
y = 69.2924
Number of pink flowers = 69
There are 31 fish in total. There are 26 goldfish and angelfish. The probability is 26/31.
