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andrew-mc [135]
2 years ago
9

Brad owns 3 surfboards and 2 wet suits. If he takes one surfboard and one wet suit to the beach, how many different combinations

can he choose? *
Mathematics
1 answer:
Reptile [31]2 years ago
6 0

Answer:

1

Step-by-step explanation:

He only has 1 wetsuit and 1 surfboard.

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An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units. An oblique c
Vilka [71]

Answer:

The radius of the cone is 3 units

Step-by-step explanation:

An oblique cone is a kind of slanted cone. It is a figure such that the tip of the cone is not directly over the center of the circular base of the cone.

While the method for calculating the area of an oblique and a right-circular cone is different, the method for calculating the volume is the same

Mathematically, the volume of an oblique cone = 1/3 * pi * r^2 * h

in this question, we have the height and the volume but we want to calculate the radius

substituting the value for the volume, the height and radius( radius is half diameter = 2x/2 = x) we have

18 pi = 1/3 * pi * x^2 * 2x

divide through by pi

18 = 1/3 * 2x * x^2

54 = 2x^3

divide both sides by 2

x^3 = 54/2

x^3 = 27

x = cube root of 27

x = 3 units

This is the length of the radius

6 0
2 years ago
Suppose that a manager is interested in estimating the average amount of money customers spend in her store. After sampling 36 t
musickatia [10]

Answer:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Step-by-step explanation:

Assuming this complete question: Which statement gives a valid interpretation of the interval?

The store manager is 90% confident that the average amount spent by the 36 sampled customers is between S38.01 and $44.29.

There is a 90% chance that the mean amount spent by all customers is between S38.01 and $44.29.

There is a 90% chance that a randomly selected customer will spend between S38.01 and $44.29.

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

8 0
2 years ago
At a local grocery store, apples cost $0.50 each and bananas cost $0.30 each. The expression 0.50x + 0.30y can be used to find t
JulsSmile [24]

(1) x represents the number of apples bought, y represents the number of bananas.

(2) each term represents the total costs of a given fruit, so 0.50x is the total cost of apples and 0.30y is total cost of bananas.

(3) The coefficients are unit prices: coefficient 0.50 is the price of 1 apple, 0.30 is the price of 1 banana.

3 0
1 year ago
Geometric abstraction is a form of artwork that uses geometric forms or shapes. Some twentieth-century American artists are know
oksian1 [2.3K]

These types of pieces forces us to think about them, however, it does not matter how it’s the most important, what matters is how it makes you, yourself feel, this kind of abstract art is strictly real and gives us space to think on our own, patterns and unity in work , homogeneity and uniqueness are the most factors that defines the good paint or failure on.



3 0
2 years ago
The area of a trapezoid is 140 cm2 and the height is 20 cm. What is the sum of the bases?
Reil [10]
D 7
A million apologies if I’m wrong half of my brain is still on vacation!
6 0
2 years ago
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