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alexira [117]
3 years ago
14

Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta and his brother 1/6 of the pot. How much

of the pot is left over?
Mathematics
2 answers:
Xelga [282]3 years ago
6 0

Answer: \frac{1}{4} of the pot is left.


Step-by-step explanation:

Let x be the total amount of pasta in the pot .

Then the amount of pasta her mother got= \frac{1}{12}x

The amount of pasta her brother got=  \frac{1}{6}x

The total amount of pasta he serve= \frac{1}{12}x+\frac{1}{6}x

First convert them in like fractions,then

The total amount of pasta he serve=\frac{1}{12}x+\frac{2}{12}x=\frac{x+2x}{12}=\frac{3x}{12}=\frac{1}{4}x

Hence, \frac{1}{4} of the pot is left over.

Lerok [7]3 years ago
3 0
1/6 also is 2/12. So, there is 9/12 of the pasta left.
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Determine which data are qualitative and which data are quantitative. Explain your reasoning
wel

Answer:

1. A. Quantitative data

B. Quantitative data

C. Qualitative data

D. Quantitative data

E. Qualitative data

F. Quantitative data

2.a. Yearly salaries: interval or ratio data

b. Employee numbers: interval or ratio data

c. Area codes : nominal data

d. The ages: interval or ratio data

e. Survey answers: ordinal data

f. IQ index: interval or ratio data

Explanation:

Qualitative data is data in the form of a quality such as a characteristic. It is usually a noun, such as whether a person is fair or dark in complexion. Quantitative data is data in form of quantity such as the amount in dollars of one's salary.

There are four levels of data measurement. They are: nominal data, ordinal data, interval data, and ratio data. Nominal and ordinal data are qualitative data while interval and ratio data are quantitative data.

4 0
3 years ago
Find the probability of rolling a 2 or a 5 on a standard dice. *
romanna [79]
The probability of a 2 or a 5 is 50%
3 0
3 years ago
The probability that a student has a Visa card (event V) is .63. The probability that a student has a MasterCard (event M) is .1
Aleksandr-060686 [28]

Answer:

a)  The probability that a student has either a Visa card or a MasterCard is 0.71.  

b) V and M are not independent.

Step-by-step explanation:

Given : The probability that a student has a Visa card (event V) is 0.63. The probability that a student has a MasterCard (event M) is 0.11. The probability that a student has both cards is 0.03.

To find :

a) The probability that a student has either a Visa card or a MasterCard ?

b)  In this problem, are V and M independent ?

Solution :

The probability that a student has a visa card(event V) is P(V)= 0.63

The probability that a student has a MasterCard (event M) is P(M)= 0.11

The probability that a student has both cards  is P(V \cap M)=0.03

a) Probability that a student has either a Visa card or a Master Card is given by,

P(V \cup M) = P(V) + P(M) - P(V\cap M)

P(V \cup M) = 0.63+ 0.11- 0.03

P(V \cup M) =0.74- 0.03

P(V \cup M) =0.71

The probability that a student has either a Visa card or a MasterCard is 0.71.

b) Two events, A and B, are independent if P(A\cap B)=P(A)P(B)

For V and M to be independent the condition is satisfied,

P(V\cap M)=P(V)P(M)

Substitute the values,

0.03=0.63\times 0.11

0.03\neq 0.0693

So, V and M are not independent.

6 0
3 years ago
Jim is 3 times as old as his cousin Anthony the difference in their age is 18.How old is Jim?
IgorC [24]
Let's create expressions and equations to model this situation. Let Anthony's age be a.

"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18

How old is Jim?

Let's solve the above equation for a to first find Anthony's age.

    3a - a = 18
    2a = 18
    a = 9

Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.

    3a
    3(9)
    27

Answer:
Jim is 27 years old.
6 0
3 years ago
-2x + 3x - 5 = 6 - 21<br><br> FIND x
trasher [3.6K]

Before we do any solving, we need to simplify both sides.

On the left, we can simplify -2x + 3x - 5 to x - 5.

On the right, we can simplify 6 - 21 to -16.

So we have x - 5 = -16.

Solving from here, we add 5 to both sides to get x = -11.

5 0
3 years ago
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