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3 years ago

Choose the item that has measurable volume.

Mathematics

2 answers:

s344n2d4d5 [400]3 years ago

8 0

C. Cereal box is the item

11111nata11111 [884]3 years ago

6 0

C , Ceral Box is the correct answer

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Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.

Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

#SPJ1

6 0

2 years ago

The 2014 draft picks for the NBA basketball teams have heights that are approximately normally distributed with mean 79.1 inches

ryzh [129]

It is given that the mean is 79.1 inches and standard deviation is 3.0 inches so it follows:

$\mu=79.1,\sigma=3$

So the value from 75 to 81 is given by:

$\begin{gathered} P(75\leq x\leq81)=P(x\leq81)-P(x\leq75) \\ =P(z\leq\frac{81-79.1}{3})-P(z\leq\frac{75-79.1}{3}) \\ =P(z\leq0.63)-P(z\leq-1.36) \end{gathered}$

Use the table or a software to get the probability values and substitute to get the probability value as:

The probability is 0.6509.

3 0

1 year ago

Answer each question with an explanation, First person to get this right gets brainliest

Novosadov [1.4K]

Answer:

2 is slope

Step-by-step explanation:

d = √(Δy2 + Δx2) = √(82 + 42) = √80 = 8.94427

Distance between x's (Δx) is 4

-2 is y-intercept

m = 8 / 4 = 2 / 1 = 2

3 0

3 years ago

Read 2 more answers

I need help, the question is “What is the slope, m, and y-intercept for the line that is plotted on the grid below?”

vlabodo [156]

Answer:

m = 2, (0,4)

Step-by-step explanation:

Slope is 2

Y intercept is 0,4

3 0

3 years ago

If W(4,6) and V(-3,-2) what is the length of VW

Andreas93 [3]

Answer:

$\large\boxed{VW=\sqrt{113}}$

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points W(4, 6) and V(-3, -2). Substitute:

$VW=\sqrt{(-3-4)^2+(-2-6)^2}=\sqrt{(-7)^2+(-8)^2}=\sqrt{49+64}=\sqrt{113}$

6 0

4 years ago

Read 2 more answers