All categories

3 years ago

When you multiply 2/3 by a fraction less than one, how does the product compare to the factor

1 answer:

3 0

The product is less than either of the factors. Multiplying a number < 1 with 2/3 another number < 1, will give a fraction of a fraction, and part of a fraction is an even smaller fraction. Another way of looking at it: Fractions less than one have numerators smaller than their denominators. When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number. I hope this helps, but if you have questions, ask.

You might be interested in

translate the sentence into an equation. the sum of 4 times a number and 8 equals 7. use the variable c for the unknown number

jek_recluse [69]

Answer: 4× 8c = 7

Step-by-step explanation:

3 0

3 years ago

One household is to be selected at random from a town. The probability that the household has a cat is 0.20.2 . The proba

dimulka [17.4K]

Answer:

There is a 50% probability that the household has a dog, given that the household has a cat.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a household has a cat.

B is the probability that a household has a dog.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a household has a cat but not a dog and $A \cap B$ is the probability that a household has both a cat and a dog.

By the same logic, we have that:

$B = b + (A \cap B)$

The probability that the household has a cat or a dog is 0.5

$a + b + (A \cap B) = 0.5$

The probability that the household has a dog is 0.4

$B = 0.4$

$B = b + (A \cap B)$

$b = 0.4 - (A \cap B)$

The probability that the household has a cat is 0.2.

$A = 0.2$

$A = a + (A \cap B)$

$a = 0.2 - (A \cap B)$

$a + b + (A \cap B) = 0.5$

$0.2 - (A \cap B) + 0.4 - (A \cap B) + (A \cap B) = 0.5$

$A \cap B = 0.1$

What is the probability that the household has a dog, given that the household has a cat?

20% of the households have a cat, and 10% have both a cat and a dog. So

$P = \frac{A \cap B}{A} = {0.1}{0.2} = 0.5$

There is a 50% probability that the household has a dog, given that the household has a cat.

4 0

3 years ago

Equipment was purchased for $85,000 on january 1, 2015. freight charges amounted to $3,500 and there was a cost of $10,000 for b

Elena-2011 [213]

85000+3500+10000=98500 is a historic price of equipment. Annual depreciation is (98500-15000)/5=83500/5=16700. At december 31 2016 will be gone 2 years-2015 and 2016. So the accumulated depreciation will be 2*16700=33400

3 0

3 years ago

Helpppppp:((((((this is due tomorrow and I still didn’t turn it in. Pls help if you can and take ur time but pls don’t take too

Arlecino [84]

#3 is < , =, =
#6 4L= 4,000ml
9L= 9,000ml
6g=6000mg

5 0

2 years ago

Which graph represents the function?<br><br> f(x)=−x2+x+6

sergiy2304 [10]

First page , second image is the correct answer :)

4 0

3 years ago