What is the slope and y-intercept of a line that passes through the points (2, - 5) and (4,

Answer:

This means 11x<21. Eleven x is less than 21.

Which is true.

The probability that a person who tests positive actually has the disease is approximately 0.194.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. Probabilities ranging from 0 to 1 reflect occurrences that are probable but not guaranteed.

P(A) denotes the probability of an event A as the ratio of the number of possibilities that favour event A to the total number of potential outcomes. In other words, it is the number of possible outcomes for event A divided by the total number of possible outcomes.

Now,

To compute the probability that a person who tests positive actually has the disease, we can use Bayes' theorem, which states that:

P(A|B)=P(B|A)*P(A)/P(B)

where A and B are events, P(A | B) is the probability of event A when event B has occurred, P(B | A) is the probability of event B when event A has occurred, P(A)= prior probability of event A, and P(B) = prior probability of event B.

In this case, let A be the event of having the disease and B be the event of testing positive.

The incidence rate of the disease is 0.8%, which means that P(A) = 0.008.

The false negative rate is 6%, which means that P(B' | A) = 0.06 (where B' is the complement of event B, i.e., testing negative given that the person has the disease).

The false positive rate is 3%, which means that P(B | A') = 0.03 (where A' is the complement of event A, i.e., not having the disease).

We can compute P(B) using the law of total probability:

P(B) = P(B|A)*P(A) + P(B|A')*P(A')

= (1-P(B'|A))*P(A)+P(B|A')*(1-P(A))

= (1 - 0.06) * 0.008 + 0.03 * (1 - 0.008)

= 0.0328

Now we can use Bayes' theorem to compute P(A | B):

P(A | B) = P(B | A) * P(A) / P(B)

= (1 - P(B' | A)) * P(A) / P(B)

= (1 - 0.06) * 0.008 / 0.0328

= 0.194

Therefore,

                 the probability will be 0.194.

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Answer:

1,3,4

Step-by-step explanation:

:)

Answer:

1,2,3,4

Step-by-step explanation:

i am just smart and dont cheat ;)

Answer:

35 minutes from 4:12 pm at 4:47 pm the tank will contain only 6617 liters of water.

Step-by-step explanation:

3:56-4:12 = -00:56 minutes passed

10452-8092=2360 liters of water lost

8092-6617=1475 liters

meaning: 56 mins lost 2360L

                x mins lost 1475L

(the 2360 liters lost)/(the 56 minutes during which they were lost) is equal to the rate at which (the 1475 liters would be lost)/(the unknown amount of time)

2360/56 = 1475/x                               (cross multiply)

2360x = 1475(56)                                            

2360x = 82600                                   (simplify)

x = 82600/2360                                  (divide to isolate x)

x = 35                                                    (the unknown amount of time during                             which the water is lost)

4:12 pm plus 35 minutes is 4:47 pm.

The flow rate is the product of the speed of flow and the area through which the fluid flows

The time at which the tank will contain 6,617 L is 4:22 PM

Reason:

Known parameters are;

Volume of water in the tank at 3:56 PM = 10,452 L

Volume of water in the tank at 4:12 PM = 8,092 L

The rate at which water is flowing out of the tank, R, is given as follows;

The flow rate, Q, of water out of the tank, Q = 147.5 L/min

The time it will take tank to contain 6,617 L, is given as follows;

Volume flow out = 10,452 L - 6,617 L = 3,835 L

The time it takes to flow to remain 6,617, t = \(\dfrac{3,835}{147.5} = 26\)

It takes 26 minutes from the start before the water remaining is 6,617 L

Therefore, the time of the day, T = 3:56 PM + 26 minutes = 4:22 PM

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The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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Answer:

Area = 324ft²

Perimeter = 72ft

Step-by-step explanation:

Area of a square = length²

Area of a square = (18ft)² = 324ft²

Perimeter of a square = 4*length

Perimeter of a square = 4ft*18 = 72ft

Answer: the bottom two graphs show continuous data

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

The question has missing details.

However, I'll make the following assumptions:

\(Biscuits = 20\)

\(Difference = 2\) (Fewer/Extra)

To solve your question, simply change the numbers

Required

Determine the range of the biscuits

To calculate the number of minimum biscuits, we have:

\(Minimum = Biscuits - Difference\)

\(Minimum = 20 - 2\)

\(Minimum = 18\)

To calculate the number of maximum biscuits, we have:

\(Maximum = Biscuits + Difference\)

\(Maximum = 20 + 2\)

\(Maximum = 22\)

Answer:

The quotient is 25.0295566502.

Answer:

Why does it take 30 years to pay off $150,000 loan, even though you pay $1000 a month? ... Even though the principal would be paid off in just over 10 years, it costs the bank a lot of money fund the loan. The rest of the loan is paid out in interest. ☺✌☺

tax will be = 50 x 5% = $2.5

Answer:

-1/2

Step-by-step explanation:

Use the two points shown.

slope = rise/run

Start at teh left point.

Go down 2 units. That is a rise of -2.

Now go right 4 units. That is a run of 4.

slope = rise/run = -2/4 = -1/2

Answer:

x= 10

Scale factor is 2 based on the vertical side of the triangle.

Answer:

22

Step-by-step explanation:

Answer & Step-by-step explanation:

Divide how much he wants to earn by how much he earns per hour:

132/6.25 = 21.12

He needs to work 21.12 hours to earn $132.

Answer:

65/100 that is the answer to this question

Answer: -2

Step-by-step explanation:

Answer:

m= 1/2 or y= 1/2x - 2

Step-by-step explanation:

hope you found this helpful

This means that there is a 4.72% chance that you will not like any of the next four songs that are played.

Probability is a branch of mathematics that deals with the likelihood or chance of events occurring. It is a measure of the likelihood of a given event occurring out of the total number of possible outcomes. Probability is used to predict the chances of something happening, such as the likelihood of a coin toss resulting in heads or tails. Probability is also used to analyze and make decisions about complex events, such as predicting the chance of a patient living or dying after receiving a certain drug.

(a) The probability that you like the next four songs that are played is (14/56) x (13/55) x (12/54) x (11/53) = 0.0011 or 0.11%.

(b) The probability that you do not like any of the next four songs that are played is (42/56) x (41/55) x (40/54) x (39/53) = 0.0472 or 4.72%. This means that there is a 4.72% chance that you will not like any of the next four songs that are played.

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The equation 2 (p+ 7) = 4 - 8p has only one solution that is; -9.

We know that solution of an equation refers usually to the values of the variables involved in that equation that if substituted in place of that variable would give a true mathematical statement.

We need to determine the solutions does the equation 2 (p+ 7) = 4 - 8p have;

Now solving for p,

2 (p+ 7) = 4 - 8

Open the bracket,

2p+ 14 = 4 - 8

Combine the like terms,

2p = -4 - 14

2p = -18

p = -18/2 = -9

Therefore, the equation has only one solution which is -9.

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Answer:

k = m(x) - f(x)

Step-by-step explanation:

m(x) = f(x) +k

m(x) - f(x) = k

Answer:

48.43552415324934

Step-by-step explanation:

61.73²-38.27² = 2346

\(\sqrt{2346}\) = 48.43552415324934

The canister holds 80 cups and they need 84 cups of flour to make a dozen pizzas. So, the cooks cannot make a dozen pizzas without refilling the canister. The solution has been obtained by using unitary method.

What is the unitary method?

The unitary technique is used to first calculate the value of each individual unit, and only then is the value of the necessary quantity of units calculated.

We are given that a pizzeria stores flour in a 5-gallon container. We assumed that 16 cups make 1 gallon.

So, number of cups that will make 5 gallon is 16 * 5 = 80 cups

Since, each pizza they make uses 7 cups of flour. So, for making 12 pizzas, they require 12 * 7 = 84 cups of flour.

Hence, the cooks cannot make a dozen pizzas without refilling the canister.

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Given:

In circle P, m∠ADB is 25°.

To find:

The m∠APB.

Solution:

Central angle theorem: According to this theorem, the central angle of an arc is twice of inscribed angle of the same arc.

From the given figure it is clear that the ∠APB is the central angle and ∠ADB is the inscribed angle on the arc AB.

By using the central angle theorem, we get

\(m\angle APB=2\times m\angle ADB\)

\(m\angle APB=2\times (25^\circ)\)

\(m\angle APB=50^\circ\)

Therefore, the correct option is D.

Answer:

YES SIR OR I MEANT YES MAM