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konstantin123 [22]
3 years ago
12

Kameryn types 75 words per minute and is just starting to write a term paper. Joe already has 510 words written and types at a s

peed of 60 words per minute for what numbers of minutes will kameryn have more words typed than joe?

Mathematics
1 answer:
NARA [144]3 years ago
7 0
Answer: Kameryn will have typed more words than Joe after 34 minutes

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A new surgical procedure is said to be successful 60% of the time. Suppose the operation is performed five times and the results
USPshnik [31]

Answer:

0.07776, 0.3456,0.08704

Step-by-step explanation:

Given that a new surgical procedure is said to be successful 60% of the time

Let X be the no of successes

Then X has only two outcomes and each trial is independent of the other

Hence X is binomial with p = prob of success in a single trial = 0.60

n = Number of operations performed = 5

Prob that

a) all five operations are successful =

P(X=5)\\= (0.6)^5\\=0.07776

(b) exactly three are successful

=P(X=3) = 5C3 (0.6)^3(0.4)^2\\= 0.3456

(c) less than two are successful

==P(X

3 0
3 years ago
If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcome
azamat

Answer:

Outcomes: S = {1, 2, 3, 4, 5, or 6}

The outcomes of rolling a single die are equally likely.

Step-by-step explanation:

A single fair die has six faces. Each face has dots on it, numbered {1, 2, 3, 4, 5, or 6}.

On rolling the die the possible outcomes are:

S = {1, 2, 3, 4, 5, or 6}

Thus, there are a total of 6 possible outcomes.

Equally likely events are events that has the same probability of happening.

For example, if events <em>A</em> and <em>B</em> are equally likely then <em>P </em>(<em>A</em>) = <em>P </em>(<em>B</em>).

The outcomes of rolling a die are equally likely because the probability of any of the 6 faces showing up are same, i.e.  

P(1) = P(2)=P(3)=P(4)=P(5)=P(6)=\frac{Favorable\ outcome}{Total\ no.\ of\ outcomes}=\frac{1}{6}

Thus, the outcomes of rolling a single die are equally likely.

5 0
3 years ago
231 m 31 cm -14 m 48cm
frozen [14]
296 cm is your answer Cody. A easier way to do this question with coming on to brainly. Is add all the positive Integers OR Numbers together and then add all the negative numbers together. Then subtract the negative numbers from the positive. Something like this.

7 0
3 years ago
Read 2 more answers
Which equation is not true?
Natali [406]
The answer is D hope this helps
3 0
3 years ago
Read 2 more answers
3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d
pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}

Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.

To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.

Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.

Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

\displaystyle A = Pe^{rt}

Where <em>e</em> is Euler's number.

Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}

In conclusion, about $3692.47 should be deposited.

8 0
2 years ago
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