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2 years ago

Use what you know about decimals or fractions to explain why (0.2)•(0.002)=0.0004

Mathematics

1 answer:

strojnjashka [21]2 years ago

6 0

Answer:

So any time you are multiplying something, you are making "groups of"

so 3 groups of 2 = 6, 4 groups of 3 = 12

But with decimals or fractions, because they are a value less than zero, the numbers become increasingly small instead of bigger, like standard multiplication.

So for example, 1 group of 1/2 = 1/2

2 groups of 1/4 = 1/2

and so on

hope this helps!

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Fill in the missing information. Tim Worker is doing his budget. He discovers that the average miscellaneous expense is $45.00 w

nlexa [21]

Answer:

$P(38.6$

And we can assume a normal distribution and then we can solve the problem with the z score formula given by:

$z=\frac{X -\mu}{\sigma}$

And replacing we got:

$z=\frac{38.6- 45}{16}= -0.4$

$z=\frac{57.8- 45}{16}= 0.8$

We can find the probability of interest using the normal standard table and with the following difference:

$P(-0.4$

Step-by-step explanation:

Let X the random variable who represent the expense and we assume the following parameters:

$\mu = 45, \sigma 16$

And for this case we want to find the percent of his expense between 38.6 and 57.8 so we want this probability:

$P(38.6$

And we can assume a normal distribution and then we can solve the problem with the z score formula given by:

$z=\frac{X -\mu}{\sigma}$

And replacing we got:

$z=\frac{38.6- 45}{16}= -0.4$

$z=\frac{57.8- 45}{16}= 0.8$

We can find the probability of interest using the normal standard table and with the following difference:

$P(-0.4$

6 0

3 years ago

Simplify.<br> Rewrite the expression in the form 4^n<br> (4^6)(4^-8) =

stiks02 [169]

Answer:

4^-2

Step-by-step explanation:

The rules of exponents tell you ...

(a^b)(a^c) = a^(b+c)

This means ...

(4^6)(4^-8) = 4^(6-8) = 4^-2

7 0

2 years ago

Liz is making 1 dozen ice pops for dessert. She mixes the ingredients together in her kitchen, puts them in the ice-pop mold, an

Troyanec [42]

The answer to your question is 22 degrees Celsius. To figure out the problem, all you do is take the minutes( 58 and 2 and 35 sec.) and convert to seconds(3,480 and 145) Then divide 3,480 by 145 ,which equals 24. Then take 24 and add to the final temperature, which equals 22.
hopes this helps! <span />

3 0

2 years ago

According to the general equation for conditional probability, if P(AuB)=3/7

mr_godi [17]

Answer: P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8

6 0

2 years ago

You are enclosing a rectangular garden with 180 feet of omamental fencing. The area of the garden is 1800 square feet. What are

Brut [27]

Answer:

Step-by-step explanation:

Perimeter is

P = 2L + 2W. We are given the perimeter as 180 feet, so

180 = 2L + 2W. Solve this for either L or W. I chose W, no reason...

180 - 2L = 2W so

90 - L = W Hold that thought. We'll come back to it in a minute.

Area is

A = LW. We are given the area as 1800 square feet, so

1800 = LW. Sub in 90 - L for W:

1800 = L(90 - L). Distribute to get a quadratic:

$1800=90L-L^2$

Get everything on one side and solve for the length by factoring:

$-L^2+90L-1800=0$

Factor this however you like to factor quadratics, to get the length of

L = 30 and L = 60. First off, the length is longer than the width in general, so if we want to solve for the width, plug in 60 as L in the equation in bold print:

90 - 60 = W and

30 = W

So L = 60 and W = 30

4 0

3 years ago