Answer:
the probability is 2/9
Step-by-step explanation:
Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).
p(dime first) = 4/10 = 2/5
Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.
The joint probability of these two events occurring sequentially is the product of their probabilities:
p(dime then nickel) = (2/5)×(5/9) = 2/9
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<em>Alternate solution</em>
You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.
p(dime/nickel) = 20/90 = 2/9
Okay so you take the 12 feet I'm pretty sure you multiply 12 and 30 and then that's one of your answers and then the 12 and a 75 you must put those to together and that's an answer and you subtract your 12 x 30 and you're 12 x 75 and that's how you get your answer I am pretty sure that's how you and that's how you get your answer I am pretty sure that's how you do it
Using simple interest, it is found that she needs to earn $2,391.07 during the summer.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
A(t) = A(0)(1 + rt)
In which:
- A(0) is the initial amount.
- r is the interest rate, as a decimal.
For this problem, the objective is to have <u>$1200 in 3 months = 0.25 years</u>, hence the parameters are given as follows:
A(0.25) = 1200, t = 0.25, r = 0.03.
Hence we have to solve for A(0):
A(0)(1 + 0.03 x 0.25) = 1200
A(0) = 1200/(1 + 0.03 x 0.25)
A(0) = $1,191.07.
She also needs to earn $1,200 to pay the first-semester bill on time, hence:
1200 + 1191.07 = $2,391.07.
She needs to earn $2,391.07 during the summer.
More can be learned about simple interest at brainly.com/question/16646150
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Answer:
1)
angle 2WZX = angle ZYX ( Since all angles and sides of a rhombus are equal)
ZYX = 2 x 29.5
59
2)
4x - 10 =90 (since all angles of a rhombus intersect at 90°)
x=90+10/4
x=100/4
x=25
hope this helps