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3 years ago

What fraction is larger 2/9 or 2/5

Mathematics

2 answers:

Gnoma [55]3 years ago

7 0

2/5, because if we do the proportion of each one:

2/9 is 22,22%

2/5 is 40%: this is much larger

julsineya [31]3 years ago

5 0

Answer: 2/5

Step-by-step explanation:

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The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie sold. Each cookie sells for $.95. How many cooki

anygoal [31]

Answer: the number of cookies sold must be greater than or equal to 800

Step-by-step explanation:

Let x represent the number of cookies made and sold in a month.

The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie. This means that the total cost of producing x cookies in a month would be

300 + 0.45x

Each cookie sells for $.95. This means that the total revenue from selling x cookies would be

0.95x

Profit = Revenue - cost

Therefore, the number of cookies that must be sold during one month for the profit to be at least $100 would be

0.95x - (300 + 0.45x) ≥ 100

0.95x - 300 - 0.45x ≥ 100

0.95x - 0.45x ≥ 100 + 300

0.5x ≥ 400

x ≥ 400/0.5

x ≥ 800

7 0

3 years ago

There is a bag filled with 3 blue and 4 red marbles.

tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

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

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

The parameters are:

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.

In this problem:

There is a total of 3 + 4 = 7 marbles, hence N = 7.

Of those, 3 are blue, hence k = 3.

2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

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

$P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857$

$P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429$

Hence:

$p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286$

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0

2 years ago

Graph the quadratic variation if g(x) varies directly with x^2, and g(x) = 75 when x = 5.

Darina [25.2K]

Answer:

Third graph from the top

Step-by-step explanation:

Formula for g(x) is g(x) = 3 · x∧2

When we replace x=5 in the formula we get:

g(5) = 3 · 5∧2 = 3 · 25 = 75

God with you!!!

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3 years ago

the appalachian trail is a 2,155-mile hiking trail in the eastern United states. You plan to hike the section of the trail that

Anestetic [448]

Step-by-step explanation:

9 miles per day

8 days hiking

9m x 8d = 72 miles long

4 0

3 years ago

In 2000, the number of students enrolled at Arlington Country Day School was 823 students. In 2010, the population was approxima

vivado [14]

705 - 823 = -118

-118/823 = -0.143 = 14.3% decrease

5 0

3 years ago

Read 2 more answers