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3 years ago

Co vert 4 5/10 into a decimal

Mathematics

2 answers:

vodka [1.7K]3 years ago

8 0

4.5 because 100/10 is 10 then do 10*5 to get 50.

LekaFEV [45]3 years ago

6 0

Hey! Hope this helps. First, let's focus on the fraction. 5/10 simplified is 1/2. 1/2 = 0.5 in decimal form. Next, the whole number is 4, so we add that to our converted fraction. 4 + 0.5 = 4.5.

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Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.

Korolek [52]

Answer:

231.59 years

Step-by-step explanation:

To model this situation we are going to use the exponential decay function:

f(t)= a (1-b)^t

where f(t) is the final amount remaining after t years of decay

a is the final amount

b is the decay rate in decimal form

t is the time in years

For Substance A:

Since we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r = 0.15/100 = 0.0015. Replacing the values in our function:

f(t) = a (1-b)^t

f(t) = 300 (1-0.0015)^t

f(t) = 300 (0.9985)^t equation (1)

For Substance B:

Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r=0.37/100= 0.0037. Replacing the values in our function:

f(t) = a (1-b)^t

f(t)= 500 (1-0.0037)^t

f(t)=500(0.9963)^t equation (2)

Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:

M=300(0.9985)^t equation (1)

M=500(0.9963)^t equation (2)

We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :

{M=300(0.9985)^t

{M=500(0.9963)^t

7 0

3 years ago

Rafael has a bag of marbles, there are 5 green marbles, 6 red marbles, and 4

yulyashka [42]

The probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

<h3>How to calculate the probability of an event?</h3>

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

$P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}$

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Given that:

The bag contains:

5 green marbles,
6 red marbles,

45 white marbles.
Rafael draws one marble at random

Since he draws one marbel, thus, only one colored marble would come out.

Let we suppose we've to find P(red marble coming out).

Then, if we take:

E = event of Rafael drawing a red marble,

then E can be done in 6 ways as there are 6 red marbles to choose from.

Also, withdrawal of 1 marble (of any color) can be done in (5+6+45 = 56) 56 ways.

Thus, we get:

$P(E) = P(\text{Choosing a red marble}) = \dfrac{6}{56} = \dfrac{3}{28} \approx 0.107$

Thus, the probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

Learn more about probability here:

brainly.com/question/1210781

#SPJ1

3 0

3 years ago

Six friends go to a movie theater. In how many different ways can they sit together in a row of six empty seats?

ZanzabumX [31]

Answer:

720

I think..i hope it helps

7 0

3 years ago

Read 2 more answers

Can somebody write this is quadratic form please

galina1969 [7]

To write an equation in standard form, move each term to the left side of the equation and simplify.

ax2+bx+c = 0ax2+bx+c = 0

Move all the expressions to the left side of the equation.

−17−8x2−4x+3x2 = 0-17-8x2-4x+3x2 = 0

Add −8x2-8x2 and 3x23x2.

−17−5x2−4x = 0-17-5x2-4x = 0

Reorder the polynomial.

5x2+4x+17 = 0

Step-by-step explanation:

I hope this helped-

7 0

4 years ago

What is the term for the likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a

zvonat [6]

Answer:

Statistical significance

Step-by-step explanation:

The Statistical significance provides a link between the dependent and the independent variable. It provides us the indication that the change in the independent variable is correleated with the shift caused in the dependent variable.

6 0

3 years ago