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Arte-miy333 [17]
3 years ago
9

Combine the like terms to create an equivalent expression. 5n - 2n

Mathematics
2 answers:
damaskus [11]3 years ago
5 0

Answer:

3n

Step-by-step explanation:

When subtracting like terms (numbers, or variable expressions that have the same variable, like these), you add the coefficients (the numbers attached to the variable) to simplify the expression.

5n - 2n

  You have 5 "n"s and you subtract 2 "n"s, leaving you with 3 "n"s

ValentinkaMS [17]3 years ago
3 0

Answer:

the answer is 3n

Step-by-step explanation:

correct

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To celebrate their 30th birthdays, brothers Mario and Luigi of the Nintendo Mario video game franchise wish to study the distrib
tamaranim1 [39]

Answer:

Step-by-step explanation:

Hello!

a. The variable X: height of a Goomba. This variable has a normal distribution with mean μ= 12 inches and a standard deviation δ= 6 inches.

You need to calculate the probability that one randomly chosen Goomba has a height between 13 and 15, symbolically:

P(13≤X≤15)

Since the probability tables for the standard normal show cumulative values, you can rewrite this interval as the accumulated probability until 15 minus the accumulated probability until 13. Then or before, you can standardize the values of the variable to obtain values of Z:

P(X≤15) - P(X≤13)

P(Z≤(15-12)/6) - P(Z≤(13-12)/6)

P(Z≤0.33) - P(Z≤0.17)= 0.62930 - 0.56749= 0.06181

b. Now the study variable is Y: height of a Koopa Troopa. This variable has also a normal distribution with mean μ= 15 inches and a standard deviation δ=3 inches.

The question asks for the probability of a Koopa Troopa that is taller than 75% of Goombas.

First step:

You have to reach the value of the height of a randomly selected Koopa Troopa that is taller than 75% of the Goombas.

This means that first, you have to work under X "height of a Goompa"

And you have to look for the value of X that leaves below 0.75 of the population, symbolically:

P(X ≤ b)= 0.75

Step 2:

You have to look in the standard normal distribution for the value of Z that has below it 0.75:

Z_{0.75}= 0.674

Next is to reverse the standardization and clear the value of "b"

Z= (b - μ)/δ

b= (Z*δ)+μ

b= (0.674*6)+12

b= 16.044 inches

Step 3:

After learning which is the height that corresponds to a Koopa Troopa higher than 75% of the Goombas population, you have to calculate the probability of randomly selecting said Koopa:

P(Y≤16.044)

This time you'll use the mean and standard deviation of the height of the Koopa's to calculate the probability:

P(Z≤(16.044-15)/3)

P(Z≤0.348)= 0.636

The probability of randomly selecting a Koopa Troopa higher than 75% of the Goomba population is 63.6%

I hope it helps!

3 0
3 years ago
Evaluate the expression. 42 + 5 • 32 – 42 ÷ 23
Leto [7]
42 + 5 * 32 - 42 ÷ 23

I am going to use the PEMDAS order. Parenthesis, Exponents, Multiply, Divide, Add, Subtract

Multiply ⇒ 5 * 32 = 160
42 + 160 - 42 ÷ 23

Divide ⇒ - 42 / 23 = -1.83
42 + 160 - 1.83

Add ⇒ 42 + 160 = 202
202 - 1.83

Subtract ⇒ 202 - 1.83 = 200.17

42 + 5 * 32 - 42 ÷ 23 = 200.17
3 0
3 years ago
A bookcase measures 13 ft wide and 24 ft tall. What would the bookcase's measurements be on a scale drawing using the scale 3 cm
qaws [65]

Answer:

19.5 cm wide

36 cm tall

Step-by-step explanation:

The given, 3 cm : 2 ft, is your first fraction (3 cm / 2 ft). We need to figure out how many cm is 13 ft and 24 ft. Let's start with 13 ft. We would use the first fraction, 3 cm / 2 ft, is equal to x cm / 13 ft. Then, you would cross multiply and get an answer of 19.5 cm. Now, we do the same thing but instead of 13 ft we need to use 24 ft. So again, 3 cm / 2 ft is equal to x cm / 24 ft. Then, cross multiply and get a final answer of 36 cm.

6 0
3 years ago
Read 2 more answers
Solve 3/4x = -6 showing each step explaining each property used.
polet [3.4K]
Well, since it's already set up, all we do is divide -6 by 3/4 to get our x
So that means x=-8
4 0
3 years ago
Read 2 more answers
a local restaurant offers a deal if you purchase 3 medium pizza, you get 2 sides dishes for free. if you get a total of 8 side d
Paul [167]
12 pizzas because

3 pizzas for ever 2 sides
3/2

x/8

X=12.
7 0
3 years ago
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