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4 years ago

Solve for n 8+8+n-4=3n-2n

Mathematics

1 answer:

____ [38]4 years ago

8 0

Answer:

No solution

Step-by-step explanation:

8+8-4 = 12

12+ n = 3n-2n

3n-2n

12+n3n-2n

subtract n on both sides

12=0n

This makes it no solution

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Plz help!!! i’ll mark brainliest!!!!

makkiz [27]

Step-by-step explanation:

go to rcboe.org sorry if it doesn't work

8 0

3 years ago

The average number of words in a romance novel is 64,436 and the standard deviation is 17,071. Assume the distribution is normal

damaskus [11]

b. You're looking for the probability

Pr [72,972 ≤ X ≤ 90,043]

Transform X to Z ∼ Normal(0, 1) using the rule

X = µ + σ Z

with µ = 64,436 and σ = 17,071. Then the probability is

Pr [(72,972 - µ)/σ ≤ (X - µ)/σ ≤ (90,043 - µ)/σ]

≈ Pr [0.5000 ≤ Z ≤ 1.5000]

You probably have a z-score table available, so you can look up the probabilities to be about

Pr [Z ≤ 0.5000] ≈ 0.6915

Pr [Z ≤ 1.5000] ≈ 0.9332

and then

Pr [0.5000 ≤ Z ≤ 1.5000] ≈ 0.9332 - 0.6915 = 0.2417

c. The 75th percentile word count that separates the lower 75% of the distribution from the upper 25%. In other words, its the count x such that

Pr [X ≤ x] = 0.75

Transforming to Z and looking up the z-score for 0.75, we have

Pr [(X - µ)/σ ≤ (x - µ)/σ] ≈ Pr [Z ≤ 0.6745]

so that

(x - µ)/σ ≈ 0.6745

x ≈ µ + 0.6745σ

x ≈ 75,950

d. Because the normal distribution is symmetric, the middle 60% of novels have word counts between µ - k and µ + k, where k is a constant such that

Pr [µ - k ≤ X ≤ µ + k] = 0.6

Also due to symmetry, we have

Pr [µ - k ≤ X ≤ µ + k] = 2 Pr [µ ≤ X ≤ µ + k]

⇒ Pr [µ ≤ X ≤ µ + k] = 0.3

Transform X to Z :

Pr [(µ - µ)/σ ≤ (X - µ)/σ ≤ (µ + k - µ)/σ] = 0.3

⇒ Pr [0 ≤ Z ≤ k/σ] = 0.3

⇒ Pr [Z ≤ k/σ] - Pr [Z ≤ 0] = 0.3

⇒ Pr [Z ≤ k/σ] - 0.5 = 0.3

⇒ Pr [Z ≤ k/σ] = 0.8

Consult a z-score table:

Pr [Z ≤ k/σ] ≈ Pr [Z ≤ 0.8416]

⇒ k/σ ≈ 0.8416

⇒ k ≈ 14,367

Then the middle 60% of novels have between µ - k = 50,069 and µ + k = 78,803 words.

7 0

2 years ago

Please help me i need to turn this in soon and i don't understand

Tcecarenko [31]

circumference of the mirror = 175.84 cm

area of the mirror = 2461.76 cm²

The measure needed to find the amount of wire round the mirror is the circumference.

The measure needed to find the amount of glass needed is the area.

<h3>How to find area and circumference of a circle?</h3>

The circumference and area of a circle can be found as follows:

circumference of the mirror = 2πr

circumference of the mirror = 2 × 3.14 × 28 = 175.84 cm

area of the mirror = πr²

area of the mirror = 3.14 × 28²

area of the mirror = 2461.76 cm²

The measure needed to find the amount of wire round the mirror is the circumference.

The measure needed to find the amount of glass needed is the area.

learn more on circle here: brainly.com/question/16125353

#SPJ1

7 0

2 years ago

Solve for r <br>v=1/3*pie*r^3

Ilia_Sergeevich [38]

It's the formula of the volume of a cone with equal lengths of radius and height.

$\dfrac{1}{3}\pi r^3=V\ \ \ \ |\cdot3\\\\\pi r^3=3V\ \ \ \ |:\pi\\\\r^3=\dfrac{3V}{\pi}\to r=\sqrt[3]{\dfrac{3V}{\pi}}$

5 0

4 years ago

Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0.

Pepsi [2]

The integral that is needed to solve the demand function is R(x) = 599x - 0.14 $x^{3/2}$

<h3>What is Demand Function?</h3>

A demand function describes the mathematical relationship between the quantity demanded and one or more determinants of the demand, as the price of the good or service, the price of complementary and substitute goods, disposable income, etc.

Here, given differential equation;

R'(x) = 599 - 0.21 $\sqrt{x}$