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jeyben [28]
3 years ago
11

it is known that a certain lacrosse goalie will successfully make a save 85.11 % of the time. Suppose that the lacrosse goalie a

ttempts to make 12 saves. What is the probability that the lacrosse goalie will make at least 10 saves?
Mathematics
2 answers:
Andrew [12]3 years ago
5 0

Answer:

the person aboce is correct ...

Lostsunrise [7]3 years ago
4 0

P(X\geq10)=P(X=10)+P(X=11)+P(X=12)=\binom{12}{10}p^{10}(1-p)^2+\cdots=73.95\%

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Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr
Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

A(t) = A(0)e^{-kt}

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, A(10) = 0.7278A(0). We use this to find k.

A(t) = A(0)e^{-kt}

0.7278A(0) = A(0)e^{-10k}

e^{-10k} = 0.7278

\ln{e^{-10k}} = \ln{0.7278}

-10k = \ln{0.7278}

k = -\frac{\ln{0.7278}}{10}

k = 0.03177289938


Then

A(t) = A(0)e^{-0.03177289938t}

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

A(5) = A(0)e^{-0.03177289938*5}

A(5) = 0.8531

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

7 0
3 years ago
HELP ME PLZ WILL MARK BR ASAP
Murljashka [212]

Answer:

the answer is A. 47

Step-by-step explanation:

tanθ = 15/14

the answer for 15/14 comes out to be about 1.0714 and so you put that value into your calculator using the sin^-1 button. it should look something like this sin^-1(1.0714) and press enter and you'll get 46.974 and round will result in 47

3 0
3 years ago
During the World Series the host city wide hotel occupancy rose 21% over the prior busiest night. If the busiest night had been
nevsk [136]
The busiest night had occupancy of 76%

During the World Series, the occupancy increased by 21% to a new record.
The new record is
76% + (76%)*0.21 = 76%*1.21 = 91.96%

Answer: 91.96%
5 0
3 years ago
Read 2 more answers
A $425 stereo is marked down by 15% what is the new price​
Firlakuza [10]

Answer:

The final price is $361.25

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 425 × 15/100

Discount = 425 x 0.15

You save = $63.75

Final Price = Original Price - Discount

Final Price = 425 - 63.75

Final Price = $361.25

3 0
3 years ago
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What is 6 less than twice w as an algebraic expression
kenny6666 [7]
Y=2w-6 that's the best answer I think
3 0
3 years ago
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