By what fraction name for 1 must 2/3 be multiplied to form a fraction with a denominator of 15

Answers

Answer 1

Answer: If you are asking what I think than it should be 5/5 because 3*5=15 so in that case the denominator would be 15 making the whole answer 10/15 although that could still be simplified to 2/3) (that's what happens when you multiply by one)

Or you may be asking 1/x forms a denominator of 15.
In this case you would still have 5 as your number (or really 1/5), if would just mean when they are multiplied together you would get 2/15 instead....

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How many ways are there to select a committee to develop a discrete mathematics course at a school if the committee is to consist of 3 faculty members from the mathematics department and 4 from the computer science department, if there are 9 faculty members of the math department and 11 of the CS department?

Answers

Answer:

There are 27,720 ways to select the committee

Step-by-step explanation:

First, it is necessary to know how many ways are there to select 3 members, if there are 9 members of the mathematics department. This can be found using the following equation:

$nCk=(n!)/(k!(n-k)!)$

Where nCk gives as the number of ways in which we can select k elements from a group of n elements. So, replacing n by 9 and k by 3 members, we get:

$9C3=(9!)/(3!(9-3)!)=84$

So, there are 84 ways to select 3 members from 9 members of the mathematics department.

At the same way, we can calculate that there are 330 ways to select 4 members from the 11 that belong to the Computer science department as:

$11C4=(11!)/(4!(11-4)!)=330$

Finally the total number of ways in which we can form a committee with 3 faculty members from mathematics and 4 from the computer science department is calculated as:

9C3 * 11C4 = 84 * 330 = 27,720

Venn diagrams can be used to represent the relationship between two categorical claims but not three. True/ False

Answers

Answer:

False!

Step-by-step explanation:

A Venn diagram can represent the relationship between several categorical claims, not only two. For example: One bubble is labeled "cats only", another is labeled,"dogs only", and the third -- "birds only". The middle section would be "dog and cats and birds".

Consider two events such that P(A) = 1/3, P(B) = 4/5, and P(A ∩ B) = 4/15. Are events A and B independent events?Yes, they are independent because P(A) ⋅ P(B) ≠ P(A ∩ B)
No, they are dependent because P(A) ⋅ P(B) = P(A ∩ B)
Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)
No, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)

Answers

Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)

You are standing 44 meters from the base of a building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82°. If the total height of the building is another 121meters above the 86th floor, what is the approximate height of the building? (Round your answers to one decimal place.)
meters
One of your friends is on the 86th floor. What is the distance between you and your friend?
meters

Answers

The height of the building is 313 m while the friend is 192 m above me.

What is the angle of elevation?

The angle of elevation is the angle between the horizontal plane and the line of sight or upward direction to an object or point of interest. It is typically measured in degrees, minutes, and seconds.

The angle of elevation is commonly used in trigonometry, surveying, and navigation to determine the height or distance of an object.

Let the distance from the ground frond to the 86th floor be x

We would now have that;

Tan 82 = 121 + x/44

44Tan 82 = 121 + x

313 = 121 + x

x = 313 - 121

x = 192 meters

Total height of the building = 192 m + 121 m = 313 m

Learn more about angle of elevation:brainly.com/question/8817610

Hi friends!!who gives the answer is the best!!!!

A car covers a distance 50km in 2.2 hrs what is the average distance cover it in 1 hour?

Answers

Answer:

22.73 km.

Step-by-step explanation:

To find the average distance covered by the car in 1 hour, we can use the concept of speed or velocity.

Speed is defined as the distance traveled divided by the time taken. In this case, the car covers a distance of 50 km in 2.2 hours.

To find the average speed of the car, we divide the total distance by the total time:

Average speed = Total distance / Total time

Average speed = 50 km / 2.2 hours

Simplifying this calculation, we find that the average speed of the car is approximately 22.73 km/h.

Since speed is defined as the distance covered per unit of time, we can conclude that the car covers an average distance of 22.73 km in 1 hour.

Therefore, the average distance covered by the car in 1 hour is approximately 22.73 km.

A large candy bar was 120 calories. Thesmaller candy bar has 16 percent less
calories. How many calories does the
smaller candy bar have?

Answers

The smaller chocolate bar has 100.8 calories. To find this multiply 120*0.16 to find the “16 percent less” which equals 19.2 less calories. Then subtract 19.2 from 120 to get 100.8

Hope this helps!

Answer: 119
The candy bar has 119 calories

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More than 200,000 people worldwide take the GMAT examination each year as they apply for MBA programs. Their scores vary normally with mean about u= 525 and standard deviation about sigma= 100. One hundred students go through a rigorous training program designed to raise their GMAT scores. Test the hypotheses. H sub 0: u= 525. H sub A: u > 525Answer the following question based from the given stated. a) The students' score is x = 541.4. Is this result significant at the 5% level? b) The average score is x = 541.5. Is this result significant at the 5% level? c) What conclusions may you draw by comparing the answers to parts a and b?