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3 years ago

Solve the inequality -5/2(3x+4)<6-3x show your work

Mathematics

1 answer:

grin007 [14]3 years ago

8 0

Answer:

The answer to your question is: x > - 32 / 9

Step-by-step explanation:

2[ -5/2 (3x + 4) < 6 - 3x ] x (2)

-5 (3x + 4) < 12 - 6x

-15x - 20 < 12 - 6x

-15x + 6x < 12 + 30 Simplify

- 9 x < 32 solve for x

x > - 32 / 9 result

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A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting

s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

12 resistors, which means that $N = 12$

3 defective, which means that $k = 3$

4 are selected, which means that $n = 4$

To find an specific probability, that is, of x defectives:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}$

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3 years ago

What elements are found in the universal set but not in sets an or b?

GaryK [48]

Answer:

Complement of a Set If U is a universal set and A is a subset of U, then the set of all elements in U that are not in A is called the complement of A and is denoted Ac.

Step-by-step explanation:

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2 years ago

Roxie is a show dog her trainer wants her to have a beautiful and brilliant coat. The veterinarian suggested a special diet for

oksano4ka [1.4K]

Answer: the answers are below

Step-by-step explanation:

1 meal = 2/3 of a can of wet dog food, 1/8 of a bag of dry dog food, and 3/5 a patty of special meat

Food for 1 day: 2 meals = 2(2/3) = 4/3 of a can of wet dog food, 2(1/8) = 1/4 of a bag of dry dog food, and 2(3/5) = 6/5 a patty of special meat

The trainer goes to the store and buys 24 cans of wet food, 4 bags of dry food and 3 packages of meat (3*6 = 18 patties)

He has:

there is wet food for: 24/(4/3) = 24*3/4 = 18 days

there is dry food for: 4/(1/4) = 4*4 = 16 days

there is special meat food for: 18/(6/5) = 18*5/6 = 15 days

since the minimum for 15, 16 and 18 is 15 the dog will have food for 15 days and first he will run out of special meat.

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I think the answer is B but not sure about "11" in A

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Which best describes the relationship among the volumes of hemisphere X, cylinder Y, and cone Z?

kogti [31]

Answer: I saw on another post on here with the same question that someone said it was

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3 years ago