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MAXImum [283]
2 years ago
14

The steps below show the incomplete solution to find the value of n for the equation 4n − 2n + 4 = −1 + 17:

Mathematics
2 answers:
AlladinOne [14]2 years ago
7 0

Answer:

2n = 12

Step-by-step explanation:

4n-2n+4 = -1+17

add -1 and 17

4n-2n + 4 = 16

combine like terns

2n+ 4 = 16

subtract 4 from each side

2n+4-4 = 16-4

2n - 12

MrRissso [65]2 years ago
5 0

Answer:

(A) 2n=12

Step-by-step explanation:

The given equation is:

4n-2n+4=-1+17

Solving the above equation, we get

Step 1. 4n-2n+4=-1+17

solving the RHS of the above equation, we get

Step 2. 4n-2n+4=16

Solving the LHs of the above equation, we get

Step 3. 2n+4=16

Step 4. 2n=12

⇒n=6

Therefore, the value of n is 6 and teh next step is  2n=12.

Hence, option (A) is correct.

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What is the multiplicative inverse of −3/5?
bonufazy [111]

Answer:

The multiplicative inverse is -5/3

Step-by-step explanation:

Multiplicative inverse means we want to end up with 1

-3/5 * what =1

Multiply by 5 to clear the fraction

-3/5 * what *5 = 1*5

-3 * what = 5

Divide by -3 to isolate what

-3*what /-3 = 5/-3

what = -5/3

The multiplicative inverse is -5/3

4 0
3 years ago
on the opening day at a toy store, every third customer gets a ball and every fourth customer gets a stuffed animal. Sixty peopl
expeople1 [14]
20 get a ball because 60 divided by 3 equal 20 ab 15 get a ball because 60 divided by 4 equals 15
7 0
2 years ago
Read 2 more answers
How are mountains and plateaus alike?
IgorLugansk [536]

Answer:

It is similar to a mountain in that it is dramatically higher than what is immediately around it. But mountains usually have a distinct apex or peak that is very small relative to the base and not typically level. Plateaus and mesas have tops only a little smaller than the base, and relatively flat. If the aspect ratio is less than 1, plateau. If greater than 1, mesa.

Step-by-step explanation:

8 0
3 years ago
The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2inches.a. Wha
Charra [1.4K]

Answer:

a)P(X>66)=P(Z>1)=1-P(Z

b)P(\bar X >66)=P(Z>2)=1-P(Z

c) P(\bar X >66)=P(Z>10)=1-P(Z

Step-by-step explanation:

1) 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".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

2) Part a

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

X \sim N(64,2)  

Where \mu=64 and \sigma=2

We are interested on this probability

P(X>66)

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>66)=P(\frac{X-\mu}{\sigma}>\frac{66-\mu}{\sigma})=P(Z>\frac{66-64}{2})=P(Z>1)

And we can find this probability on this way:

P(Z>1)=1-P(Z

3) Part b

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

P(\bar X >66)=P(Z>\frac{66-64}{\frac{2}{\sqrt{4}}}=2)

And using a calculator, excel or the normal standard table we have that:

P(Z>2)=1-P(Z

4) Part c

P(\bar X >66)=P(Z>\frac{66-64}{\frac{2}{\sqrt{100}}}=10)

And using a calculator, excel or the normal standard table we have that:

P(Z>10)=1-P(Z

3 0
3 years ago
Plz help with math!!!!​
BigorU [14]

Answer:

The figure above is congruent by SSS axiom.

AB=DE (S)

AC=EF(S)

BC=DF(S)

Hence the given triangle are congrent.SSS axiom is Side.Side.Side axiom.

I think it will help you.

8 0
2 years ago
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