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4 years ago

Decimal 0.37 what is the answer?

Mathematics

2 answers:

katen-ka-za [31]4 years ago

4 0

37/100 or thirty-seven hundreths

Aneli [31]4 years ago

3 0

*hundredths

It's a common mistake but significant. Nevertheless, you are right.

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A goldsmith has two alloys of gold, the first having a purity of 53% and the second having a purity of 83%. If x grams of the fi

blsea [12.9K]

Answer:

Correct answer: x = 35 grams and y = 65 grams

Step-by-step explanation:

Given:

53% purity of the first alloy

83% purity of the second alloy

x = ? mass of the first alloy

y = ? mass of the second alloy

x + y = 100 grams the mass of the mixture

72.5% purity of the mixture

We can solve the problem by setting up a two system of equations:

First: Second:

53 x + 83 y = 100 · 72.5 x + y = 100

x + y = 100 x : y = (83 - 72.5) : (72.5 - 53)

First system:

y = 100 - x

From the second, we express y as a function of x and replace in the first

and get:

53 x + 83 (100 - x) = 7,250

53 x + 8,300 - 83 x = 7,250

30 x = 1050 ⇒ x = 1050 / 30 = 35 grams

x = 35 grams

y = 100 - 35 = 65 grams

y = 65 grams

Second system:

x + y = 100

x : y = (83 - 72.5) : (72.5 - 53) = 10.5 : 19.5 = 105 : 195 = 7 : 13

x : y = 7 : 13 ⇒ x = (7/13) y

From the second, we express x as a function of y and replace in the first

and get:

(7/13) y + y = 100 / ·(13) ⇒ 7 y + 13 y = 1300 ⇒ 20 y = 1300

y = 1300 / 20 = 65 grams

y = 65 grams

x + 65 = 100 ⇒ x = 100 - 65 = 35 grams

x = 35 grams

God is with you!!!

3 0

3 years ago

5/12 gallon, to travel 12 1/2 miles.

polet [3.4K]

Answer:

A car is more fuel efficient and it goes 30 miles per gallon (5/12 gallon to travel 12 1/2 miles)

Step-by-step explanation:

A car : 5/12 gallon to travel 12 1/2 miles

(12 1/2) / (5/12) =

(25/2) / (5/12) =

25/2 * 12/5 =

150/5 =

30 miles per gallon

B car : 5/7 gallon to travel 20 5/7 miles

(20 5/7) / (5/7) =

(145/7) / (5/7) =

145/7 * 7/5 =

145/5 =

29 miles per gallon

most fuel efficient is A car....it gets 30 miles per gallon

3 0

3 years ago

Find the difference: 7 7/8 - 3 1/4=?

guapka [62]

37/8 or 4 5/8

To make it easier, make both numbers into an improper fraction then subtract normally.

3 0

3 years ago

Read 2 more answers

I need the answer ASP What is the value of x? Enter in the box

Svetach [21]

55 add 75 to 50 subtract from 180

4 0

3 years ago

Read 2 more answers

You are playing a game called Tsunami Duck Pond. In Tsunami Duck Pond there are 100 ducks that get pummeled by tidal waves. You

lilavasa [31]

Answer:

a) W is a binomial random variable because in each trial there are only two possible outcomes, and the probability of a success is always the same.

b) 0.2013 = 20.13% probability that you win exactly 3 times.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

a. Explain why W is a binomial random variable.

For each time a duck is selected, there are only two possible outcomes. Either it has a star, or it does not. Also, after a duck is selected, it is placed back in the water which means that in each trial, the probability of finding a duck with star is the same. This is why W is a binomial random variable.

b. Find the probability that you win exactly 3 times.

Let W=the number of times you win if you play this game 10 times.

This means that $n = 10$

The game claims to have 20 ducks with stars among the 100 ducks.

This means that $p = \frac{20}{100} = 0.2$

We have to find P(X = 3). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013$

0.2013 = 20.13% probability that you win exactly 3 times.

7 0

3 years ago