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3 years ago

Are the expressions 3{y+1} and 3y+3 equivalent for any value? explain

Mathematics

2 answers:

andre [41]3 years ago

8 0

Answer:

Yes

Step-by-step explanation:

The distributive property states that a(b+c) = ab+ac. Working out the first equation, we see that 3(y+1) is 3y+3. Because the second equation is 3y+3, they are also equal.

solmaris [256]3 years ago

3 0

Answer:

yes

Step-by-step explanation:

It is because you need to times in the answer

3(y+1) mutiply it in!

3times y and 3 times 1

it equals to 3y+3

You might be interested in

The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. (

Vinvika [58]

Answer:

a) $P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

b) $z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

$X \sim N(106,0.3)$

Where $\mu=106$ and $\sigma=0.3$

Part a

We are interested on this probability

$P(X>106.11)$

And we can use the z score formula given by:

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

And using this formula we got:

$P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score we got:

$z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

6 0

3 years ago

My question : here is related to Algebra 1 HELP

Ilia_Sergeevich [38]

Answer:

The sun is about 390 times farther than earth is from the moon

Step-by-step explanation:

It's kind of hard to understand the question but it's essentially asking how many times farther earth is from the sun than earth is from the Moon. Or basically measure the distance from the earth to the moon. Then show how much bigger the distance from the Earth to the Sun is by comparing it from the earth to the moon. To do this you divide the distance of moon by the distance of the sun to get how many times you could you could fit the distance between the Earth and The Moon from the Earth to the Sun.

4 0

2 years ago

Will mark brainliest! Solve! 9x +25+3x = 34 + 54 HELP!!!

Salsk061 [2.6K]

Answer:

9x + 25 + 3x = 34 + 54

9x + 3x = 12x

34 + 54 = 88

12x + 25 = 88

- 25 - 25

12x = 63

x = 5.25

7 0

3 years ago

Read 2 more answers

4. GIVEN: AC II DB, AC = DB

LUCKY_DIMON [66]

Answer:

khan accademy will help you

Step-by-step explanation:

7 0

3 years ago

Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How m

exis [7]

Answer:

a) Write a let statement below to define your variable(s):

Let the number of fishes Ms. Montesinos has be represented by = f

b) Set up an equation using the variable you defined in (a):

The equation is :

3f - 2 = 13

c) Solve your equation & Check. How many fish does Ms. Montesinos have?

Ms. Montesinos has 5 fishes

Step-by-step explanation:

Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How many fish does Ms. Montesinos have in her tank?

a) Write a let statement below to define your variable(s):

Let the number of fishes Ms. Montesinos has be represented by = f

b) Set up an equation using the variable you defined in (a):

We are told in the question:

Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has.

Therefore,

3× f - 2 = 11 + 2

The equation is :

3f - 2 = 13

c) Solve your equation & Check. How many fish does Ms. Montesinos have?

Solving the above equation:

3f - 2 = 13

3f = 13 + 2

3f = 15

Divide both sides by 3

3f/3 = 15/3

f = 5

Hence, Ms. Montesinos has 5 fishes

4 0

3 years ago