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3 years ago

What is (2a)^2 ? Help please

Mathematics

2 answers:

Inessa05 [86]3 years ago

8 0

Answer:

4a²

Step-by-step explanation:

=> $(2a)^2$

=> $(2^2*a^2)$

=> 4 * a²

=> 4a²

Mekhanik [1.2K]3 years ago

7 0

Answer:

4a²

Step-by-step explanation:

(2a)²

Distribute the square to all the terms in the bracket.

2²a²

Solve the powers if possible.

4a²

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A submarine hovers at 66 2/3 yards below sea level. if it ascends 24 1/8 yards and then decends 78 3/4 yards, what is the submar

UNO [17]

Answer:

-121 7/24

Step-by-step explanation:

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3 years ago

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The auto repair on First Street charges a flat fee of $15 plus $10 an hour for servicing a car. The auto repair shop on Second A

Lilit [14]

Answer:

3 hours

Step-by-step explanation:

Let's express number of hours required for servicing as: x

The auto repair on First Street charges a flat fee of $15 plus $10 an hour for servicing a car.

This is expressed mathematically as:

$15 + $10 × x

= 15 + 10x

The auto repair shop on Second Avenue charges no flat fee but $15 an hour for servicing a car

This is expressed as:

$15 × x

= 15x

The number of hours Malik's car needs to be serviced in order to be able to pay the same amount of money at both shops is calculated as:

Charges by Auto repair shop on First street = Charges by Auto repair shop on Second Avenue

15 + 10x = 15x

15 = 15x - 10x

15 = 5x

5x = 15

x = 15/5

x = 3 hours

Therefore, the number of hours Malik's car needs to be serviced in order to be able to pay the same amount of money at either auto repair shops is 3 hours

4 0

3 years ago

Do the quotients always have the same number of digits when diving 3digit numbers by 1 digit numbers

ratelena [41]

Answer:

No.

example: 123 ÷ 3 = 41 (2 digits)

425 ÷ 5 = 85 (2 digits)

but, if 428 ÷ 2 = 214, which gives us 3 digits but not 2

∴, the quotient doesn't always have the no. of digits when we divide 3 digit no. s by 1 digit no. s.

5 0

3 years ago

Moesha needs $79 for a class trip. She already has $22 and she can earn the rest by babysitting for 8 hours. If h represents her

elena55 [62]

Answer:

79-22=8h

Step-by-step explanation:

She can earn the rest by babysitting for only 8 hours,

so take 22 from 79, divide the total by 8 and that is how much she gets per hour (8h)

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3 years ago

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Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

Alex17521 [72]

Answer:

a) $P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

b) $P(X>48)=P(\frac{X-\mu}{\sigma}>\frac{48-\mu}{\sigma})=P(Z>\frac{48-46.8}{1.75})=P(z>0.686)$

And we can find this probability using the complement rule, the normal standard table or excel and we got:

$P(z>0.686)=1- P(Z$

c) $P(46.8-1.5*1.75$

And we can find this probability with this difference:

$P(-1.5$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.5$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

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

$X \sim N(46.8,1.75)$

Where $\mu=46.8$ and $\sigma=1.75$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

Part b

$P(X>48)=P(\frac{X-\mu}{\sigma}>\frac{48-\mu}{\sigma})=P(Z>\frac{48-46.8}{1.75})=P(z>0.686)$

And we can find this probability using the complement rule, the normal standard table or excel and we got:

$P(z>0.686)=1- P(Z$

Part c

$P(46.8-1.5*1.75$

And we can find this probability with this difference:

$P(-1.5$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.5$

6 0

3 years ago