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Fantom [35]
3 years ago
10

A NASA mathematician used a system of equations to determine the point in space where a satellite crossed paths with a massive p

iece of space debris. How many equations did he need? And how many variables were needed to find the exact location in space?
A) 3 equations with 2 variables

B) 2 equations with 2 variables

C) 2 equations with 3 variables

D) 3 equations with 3 variables
Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0

Answer:

Option D.

3 equations with 3 variables

Step-by-step explanation:

The coordinates of a point in space must necessarily have 3 components. One to describe the distance on the x axis, another to describe the distance on the y axis to the point, and a third to describe the distance on the z axis.

If we have three variables, then 3 equations are needed to solve the system. With less than 3 equations it would be impossible to solver the system.

Therefore the correct answer is option D.

3 equations with 3 variables

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melomori [17]

Answer:

i. 18 miles per hour is an outlier

ii. the outlier decreases the mean speed

Step-by-step explanation:

An outlier in a given data is one of the values that is far greater or lesser compared to others. It affect the mean and standard deviation of a given data significantly.

From the given data, 18 is far too small compared to other values. This is certainly an outlier. This would affect the mean speed by decreasing the value.

An interquartile range is a measure of differences among data by dividing a set of given data into quartile. Increasing the value of the outlier would increase the interquartile range.

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3 years ago
A group of four boys (Alex, Bryan, Chris, and David) and five girls (Megan, Nancy, Olivia, Pauline, and Rebecc?
aliina [53]

Answer:

a) P = 362880 ways

b) P = 2880 ways

Step-by-step explanation:

a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions

We have a permutation of 9 elements

P = 9!

P = 9*8*7*6*5*4*3*2*1

P = 362880 ways

b) Boys must seat together, we have two groups of people

4 boys  they can seat in 4! different ways

P₁ = 4!

P₁ = 4*3*2*1

P₁ = 24

And girls can seat in 5! dfferent ways

P₂ = 5!

P₂ = 5*4*3*2*1

P₂ = 120

To get total ways in the above mentioned condition, we have to multiply P₁*P₂

P = 24*120

P = 2880 ways

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Natalia bought 6 sweaters. 3 are blue. What fraction of the sweaters are blue?
Ludmilka [50]

Answer: One-Half of the sweaters are blue.

Step-by-step explanation: Half of 6 is 3.

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Answer:

Step-by-step explanation:

Knowledge is knowing a tomato is a fruit, wisdom is not putting it in a fruit salad

Your time is too valuable to waste on those who don't deserve it

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