Answer: −1.409
Step-by-step explanation:
Probability of drawing 3 hearts: 13/52 * 12/51 * 11/50 = 0.013
Probability of drawing 3 black cards: 26/52 * 25/51 * 24/50 = 0.118
Probability of other draw: 1 - 0.013 - 0.118 = 0.869
0.013 * (50 - 5) = 0.585
0.118 * (25 - 5) = 2.353
0.869 * (0 - 5) = -4.347
Expected value: 0.585+ 2.353 - 4.347 = -1.409
Question:
Veronica is choosing between two health clubs. after how many months will the total cost for each health club be the same? yoga studio a: membership: $24.00 monthly fee: 21.50. yoga studio b: membership: $41.00 monthly fee: $17.25
Answer:
It takes 4 years for the total cost of each club to become equal
Step-by-step explanation:
Given:
For yoga studio A:
membership: $24.00
monthly fee: 21.50.
For yoga studio B:
membership: $41.00
monthly fee: $17.25
To Find:
Number of months after which the total cost for each health club be the same = ?
Solution:
Let x be the number of months of membership, and y be equal the total cost.
For Yoga club A
y = 21.50 x + 24
For Yoga club B
y = 17.25 x + 41.00
we know that the prices, y , would be equal, we can set the two equations equal to each other.
21.50 x + 24 =17.25 x+ 41.00
Grouping the like terms,
21.50x - 17.25 x= 41.00
- 24
4.25x=17
x=
x = 4
The answer to your question is
1/4 kilometer = 0.25 kilometers = 250 meters
You answer is 250 meters
Answer:38.56
Step-by-step explanation:
tan35=opposite ➗ adjacent
0.7002=27 ➗ x
Cross multiplying we get
0.7002(x)=27
Divide both sides by 0.7002
0.7002x ➗ 0.7002=27 ➗ 0.7002
x=38.56041131
x=38.56 nearest hundredth
Answer:
One rose bush = $3
One bunch of ornamental grass = $4
Step-by-step explanation:
We can set up a system of equations to solve for this. Let cost of 1 rose bush be r and cost of 1 ornamental grass be g. Thus we can form 2 equations:

We can multiply the first equation by -2 so that we can eliminate g. Thus, we have:

Thus, 1 rose bush is $3. Now plugging in r = 3 into the first original equation, we can solve for g:

Thus, 1 bunch of ornamental grass is $4.