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3 years ago

What is meant by the term total installment price?

Mathematics

1 answer:

alex41 [277]3 years ago

3 0

Answer:

COMPOUND PROBABILITY: John has a cookie jar with the following cookies in it. He plans to eat 2 cookes. What is the probability that he will select a Macadamia Nut Cookie AND then select a Cranberry Pecan cookie? Remember, since he is eating the cookies, he will not be replacing the cookies in the jar and the order he selects the cookies does not matter here. Simply all answers to lowest terms

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The ratio of the volumes of the similar solids is _____ 25:1 5:1 125:1

weqwewe [10]

Answer:

Part 1)

a) The ratio of the heights of the similar solids is 5/1

b) The ratio of the surface areas of the similar solids is (5/1)²=25/1

c) The ratio of the volumes of the similar solids is (5/1)³=125/1

Part 2) Two spheres with different radii measurements are always similar

Part 3) The volume of the sphere is greater than the surface area of the sphere

Step-by-step explanation:

Part 1) we know that

The ratio of the corresponding heights of the similar solids is equal to the scale factor

The ratio of the surface areas of the similar solids is equal to the scale factor squared

The ratio of the volumes of the similar solids is equal to the scale factor elevated to the cube

In this problem

The scale factor is 5/1

therefore

a) The ratio of the heights of the similar solids is 5/1

b) The ratio of the surface areas of the similar solids is (5/1)²=25/1

c) The ratio of the volumes of the similar solids is (5/1)³=125/1

Part 2)

we know that

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.

In this problem to prove that two spheres are similar, a translation and a scale factor (from a dilation) will be found to map one sphere onto another.

therefore

Two spheres with different radii measurements are always similar

Part 3) The length of the diameter of a sphere is 8 inches

<em>The volume of the sphere is equal to</em>

$V=\frac{4}{3}\pi r^{3}$

we have

$r=8/2=4\ in$ -----> the radius is half the diameter

substitute

$V=\frac{4}{3}\pi (4)^{3}$

$V=85.33\pi\ in^{3}$

<em>The surface area of the sphere is equal to</em>

$SA=4\pi r^{2}$

substitute

$SA=4\pi (4)^{2}$

$SA=64\pi\ in^{2}$

therefore

The volume of the sphere is greater than the surface area of the sphere

3 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is Amie found the volume of the sphere.

vredina [299]

Answer:

The answer is the first

Amie should have multiplied 54 by 2/3

Step-by-step explanation:

* Lets start with the rule of the volume of each solid

∵ Volume the sphere = 4/3 π r³

∵ Volume the cylinder = π r² h

∵ The radii and the heights of the sphere and the cylinder are equal

∴ The ratio between there volumes are

4/3 π r³ : π r² h

- Lets divide each part by π r²

∴ 4/3 r : h

∵ The height of the sphere = the diameter of it = 2r

∴ The height of the cylinder = 2r

∴ The ratio will be:

4/3 r : 2r

- Now divide each part by 2r

∵ (4/3)r ÷ 2r = 2/3

∵ 2r ÷ 2r = 1

∴ The ratio is 2/3 : 1

∴ The volume of the sphere = 2/3 the volume of the cylinder

∵ The volume of the cylinder = 54 m³

∴ The volume of the sphere = 2/3 × 54 = 36 m³

∴ The answer is Amie should have multiplied 54 by 2/3

7 0

3 years ago

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The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 15 minute

madam [21]

Answer:

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

For this problem, we have that:

Uniformly distributed between 3 minutes and 15 minutes:

So $a = 3, b = 15$

What is the probability that it takes Isabella more than 11 minutes to wait for the bus?

Either she has to wait 11 or less minutes for the bus, or she has to wait more than 11 minutes. The sum of these probabilities is 1. So

$P(X \leq 11) + P(X > 11) = 1$

We want P(X > 11). So

$P(X > 11) = 1 - P(X \leq 11) = 1 - \frac{11 - 3}{15 - 3} = 0.3333$

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus

4 0

3 years ago

Estimate the answer. 98x72=

olga55 [171]

Answer:

The answer would be 7058

3 0

3 years ago

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A circle has a diameter of 7.6feet. Which measurement is the closest to the circumference of the circle in feet.

Julli [10]

Answer: and jnnnene

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers