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LiRa [457]
3 years ago
10

46. Merchandising If 12 items are in a dozen, 12 dozen are in a gross, and 12 gross are in a great-gross, how many items are in

a great-gross?
Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer: 1728

Step-by-step explanation: You multiply 12 times 12 because we have to find how many items are in a 12 dozen first which is 144 because there are 12 items in one dozen.  We already know that there are 144 items in 12 dozens and there are 12 dozens in a gross, which is 144 items in total. Now we have to multiply 144 times 12 to find how many items are in a great gross. 144 times 12 is 1728.

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Suppose 10000 people are given a medical test for a disease. About1% of all people have this condition. The test results have a
Alina [70]

Answer:

The percent of the people who tested positive actually have the disease is 38.64%.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a person has the disease

<em>P</em> = the test result is positive

<em>N</em> = the test result is negative

Given:

P(X)=0.01\\P(P|X^{c})=0.15\\P(N|X)=0.10

Compute the value of P (P|X) as follows:

P(P|X)=1-P(P|X^{c})=1-0.15=0.85

Compute the probability of a positive test result as follows:

P(P)=P(P|X)P(X)+P(P|X^{c})P(X^{c})\\=(0.85\times0.10)+(0.15\times0.90)\\=0.22

Compute the probability of a person having the disease given that he/she was tested positive as follows:

P(X|P)=\frac{P(P|X)P(X)}{P(P)}=\frac{0.85\times0.10}{0.22} =0.3864

The percentage of people having the disease given that he/she was tested positive is, 0.3864 × 100 = 38.64%.

3 0
3 years ago
What differential equation is?
Blababa [14]

Answer:

In mathematics, a differential equation is an equation that relates one or more functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Could you please help with this question for domain, range, and end behavior? I started it, but I think I'm doing it wrong.
Tanzania [10]

It looks like you have the domain confused for the range! You can think of the domain as the set of all "inputs" for a function (all of the x values which are allowed). In the given function, we have no explicit restrictions on the domain, and no situations like division by 0 or taking the square root of a negative number that would otherwise put limits on it, so our domain would simply be the set of all real numbers, R. Inequality notation doesn't really use ∞, so you could just put an R to represent the set. In set notation, we'd write

\{x\in\re\mathbb{R}\}

and in interval notation,

(-\infty,\infty)

The <em>range</em>, on the other hand, is the set of all possible <em>outputs</em> of a function - here, it's the set of all values f(x) can be. In the case of quadratic equations (equations with an x² term), there will always be some minimum or maximum value limiting the range. Here, we see on the graph that the maximum value for f(x) is 3. The range of the function then includes all values less than or equal to 3. As in inequality, we can say that

f(x)\leq3,

in set notation:

\{f(x)\in\mathbb{R}\ |\ f(x)\leq3\}

(this just means "f(x) is a real number less than or equal to 3")

and in interval notation:

(-\infty,3]

8 0
3 years ago
Justin lives 4 3/5 miles from his grandfather house. What fraction greater than 1 can I write
viktelen [127]
You can write i I as 1/4 of a 3rd
4 0
3 years ago
Write an equation in standard form for a line that passes through (4,1) &amp; (5,7)
tatuchka [14]
Y = mx + b

First equation 1 = m(4) + b, bring everything to one side m(4) + b - 1 = 0
Second equation 7 = m(5) + b, bring everything to one side m(5) + b - 7 = 0

Set them equal to each other, 

m(4) + b - 1 = m(5) + b - 7

If you bring the b over to the left hand side it becomes

m(4) + b - b - 1 = m(5) - 7

m(4) - 1 = m(5) - 7

Solve for m

6 = m

Plug m = 6 into either equation from the beginning,

m(4) + b - 1 = 0

6(4) + b - 1 = 0

24 + b - 1 = 0

b = -23

Knowing m and b we can now make an equation

y = mx + b

y = 6x -23 Final answer



3 0
3 years ago
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