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olchik [2.2K]
2 years ago
10

Lillian went to the gift shop on the boardwalk and bought four bags of dyed seashells at $3.99 each. She had a coupon for $1 off

. Her mom paid for half of the remaining cost. Write and evaluate a numerical expression to find how much Lillian paid toward the purchase of the seashells. Help!
Mathematics
2 answers:
elixir [45]2 years ago
3 0

Answer: $1.495

Step-by-step explanation: 3.99 - 1 = 2.99 2.99 divided by 2 = 1.495

Norma-Jean [14]2 years ago
3 0

Answer:3.99 times 4 - 1 =

Step-by-step explanation: first 3.99 times 4 minus 1 and than you'll get your answer

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30.60

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In general, the probability that it rains on Saturday is 25%. If it rains on Saturday, the probability that it rains on Sunday i
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Answer:

40%

Step-by-step explanation:

From the given statements:

The probability that it rains on Saturday is 25%.

P(Sunday)=25%=0.25

Given that it rains on Saturday, the probability that it rains on Sunday is 50%.

P(Sunday|Saturday)=50%=0.5

Given that it does not rain on Saturday, the probability that it rains on Sunday is 25%.

P(Sunday|No Rain on Saturday)=25%=0.25

We are to determine the probability that it rained on Saturday given that it rained on Sunday, P(Saturday|Sunday).

P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75

Using Bayes Theorem for conditional probability:

P(Saturday|Sunday)=\frac{P(Sunday|Saturday)P(Saturday)}{P(Sunday|Saturday)P(Saturday)+P(Sunday|No Rain on Saturday)P(No Rain on Saturday)}

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There is a 40% probability that it rained on Saturday given that it rains on Sunday.

5 0
2 years ago
Find dy/dx implicitly and find the largest interval of the form −a < y < a or 0 < y < a such that y is a differentia
mylen [45]

Answer:

dy/dx = -1/√(1 - x²)

For 0 < y < π

Step-by-step explanation:

Given the function cos y = x

-siny dy = dx

-siny dy/dx = 1

dy/dx = -1/siny (equation 1)

But cos²y + sin²y = 1

=> sin²y = 1 - cos²y

=> siny = √(1 - cos²y) (equation 2)

Again, we know that

cosy = x

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Using (equation 3) in (equation 2), we have

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Finally, using (equation 4) in (equation 1), we have

dy/dx = -1/√(1 - x²)

The largest interval is when

√(1 - x²) = 0

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=> x = ±1

So, the interval is

-1 < x < 1

arccos(1) < y < arxcos(-1)

= 0 < y < π

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