All categories

3 years ago

The ratio of pencils to pens is 4 to 6. If there are 24 pencils in the classroom, how many pens are there?

Mathematics

1 answer:

o-na [289]3 years ago

7 0

Answer:36

Step-by-step explanation:

You might be interested in

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts 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:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

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

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

6 0

3 years ago

G(x) = x4 − 4x2 + 7x − 8?

blagie [28]

Answer:

to put in the value of any variable in this equation(for example 2 ) we will write it as

g(2) = 4(2) - 4(2)^2 + 7(2) -8

g(2) = 8 - 16 + 14 - 8

g(2) = -2

Step-by-step explanation:

5 0

3 years ago

Identify the savings options and the investment options. business ownership bonds money market account promotional CD

Bond [772]

Answer:

The given options are -

business ownership

bonds

money market account

promotional CD

Now we have to identify these under saving options or investment options.

So, saving are :

promotional CD and money market account ( money market account is a type of saving account that can pay higher interest rate than normal savings accounts, but these accounts have higher minimum deposits.)

And investment are :

business ownership and bonds.

8 0

3 years ago

Read 2 more answers

A + x + p + 8 = r<br> solve for x<br><br> all help is appreciated!!

Norma-Jean [14]

a+x+p+8 =r

(to solve isolate x)

x=r-(a+p+8)

x= r-a-p-8

8 0

3 years ago

If Maliyah won 25 games and llost 10 what would be the ratio for the games lost to total

Alla [95]

Answer:

10:35

Step-by-step explanation:

4 0

3 years ago