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2 years ago

What are the square roots of 64144 ? −812 and 812 −49 and 49 −3272 and 3272 −412 and 412

Mathematics

1 answer:

worty [1.4K]2 years ago

5 0

Answer:

-8/12 and 8/12

Step-by-step explanation:

I took the test from K12, and that other guy did not help, so here you are! Good luck guys!!!

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Consider the probabilities of people taking pregnancy tests. Assume that the true probability of pregnancy for all people who ta

Valentin [98]

Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, the events are:

Event A: Positive test result.

Event B: Pregnant.

The probability of a positive test result is composed by:

99% of 10%(truly pregnant).

2% of 90%(not pregnant).

Hence:

$P(A) = 0.99(0.1) + 0.02(0.9) = 0.117$

The probability of both a positive test result and pregnancy is:

$P(A \cap B) = 0.99(0.1)$

Hence, the conditional probability is:

$P(B|A) = \frac{0.99(0.1)}{0.117} = 0.8462$

0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

You can learn more about conditional probability at brainly.com/question/14398287

7 0

1 year ago

HHHHHHHEEEEEEEELLLLLLLLPPPPPPP!!!!!!!!

IgorLugansk [536]

The total loss of the two months would be $72.

3 0

2 years ago

Your Aunt Matilda passes away and leaves you with the tidy sum of $50,000. You find a bank that will pay you 5.15 % per year com

ohaa [14]

Answer:

Deduction in the step-by-step explanation

Step-by-step explanation:

If a P0=50.000 deposit is compound every instant, the ammount in the account can be modeled as:

$P(t) = P_{0}*e^{it}$

If you pull out d dollars a year, the equation becomes:

$P(t) = P_{0}*e^{it}-d*t$

If we derive this equation in terms of t, we have

$P(t) = P_{0}*e^{it}-d*t\\dP/dt=d(P_{0}*e^{it})/dt-d(d*t)/dt\\dP/dt=i*P_{0}*e^{it}-d\\$

The first term can be transformed like this:

$i*P_{0}*e^{it} = i*P(t)$

So replacing in the differential equation, we have

$dP/dt=i*P_{0}*e^{it}-d\\dP/dt=i*P(t)-d$

Rearranging

$dP/dt-i*P(t)=-d$

5 0

3 years ago

A positive real number is 6 less than another. If the sum of the square of the two numbers is 38, then finds the numbers.

Serggg [28]

Answer:

There seems to be a typo error but still this has solution.

Let the number be = x

A positive real number is 6 less than another. Means the second will be $(x+6)$

The sum of the square of the two numbers is 38.

$x^{2} +(x+6)^{2} =38$

=> $x^{2} +36+12x+x^{2} =38$

=> $2x^{2}+12x+36 =38$

=> $2x^{2}+12x=2$

=> $2x^{2}+12x-2=0$

Taking out 2 common;

=> $x^{2}+6x-1=0$

Solving this quadratic equation, we get;

$x=-3+\sqrt{10}$ and $x=-3-\sqrt{10}$

As positive number is needed, we have $-3+\sqrt{10}$

or x = $\sqrt{10}-3$

x = 0.162277

And other number is 6.162277.

6 0

2 years ago

Read 2 more answers

Cambridge slim ate 27 sausages in the first 11 minutes of a high stakes eating contest assuming that he conuitnes at the same pa

velikii [3]

Answer: 36 whole sausages by the end of the contest.

Step-by-step explanation:

We know that he ate 27 sausages in 11 minutes, then the rate at which he ates sausages is:

R = (27 sausages)/(11 minutes) = 2.45 sausage/min

So if he ate at this rate for 15 minutes, the total number of sausages eaten by the end is:

Total number = (2.45 sausage/min)*15min = 36.8 sausages

(where we are counting again the 27 sausages that he ate in the first 11 mins)

If we only count the number of whole sausages eaten, he ate 36 whole sausages.

6 0

2 years ago