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3 years ago

What is the solution set of x^2=3x+28

Mathematics

1 answer:

Masteriza [31]3 years ago

7 0

Answer:

Factor and set each factor equal to zero.

x=7,−4

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

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Kay leaves a $6 tip for a $40 bill. What percent tip did kay leave?

Likurg_2 [28]

Answer:

15% tip

Step-by-step explanation:

6/40= 0.15= 15%

4 0

4 years ago

Read 2 more answers

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:

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

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

7 0

3 years ago

At which step did Fatu make an error, if at all?

Elza [17]

Answer:

Step 3

Step-by-step explanation:

7 0

3 years ago

A store owner purchases thirty 75-watt light bulbs and 40 fluorescent light bulbs for a total cost of $95. A second purchase, at

N76 [4]

Answer: 75-watt are 30$ fluorescent are 30$ in the second and 65$ in the first

Step-by-step explanation: i calculated thirty 75-watt and the fluorescent and got these kinda hard to explain hope i helped:)

7 0

3 years ago

Please help with answer!

Ghella [55]

Answer:

0.12 x (x + 3000) = 4200

equation for her salary last year : last year's salary = (4200 / 0.12) - 3000

$32,000

Step-by-step explanation:

Let x = last year's salary

this year's salary = 3000 + x

this equation can be used to determine how much she saved this year = 0.12 x (x + 3000) = 4200

to find last year's salary, make x the subject of the formula

4200 / 0.12 - 3000 = x

x = $32,000

8 0

3 years ago