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3 years ago

Find the length of segment AB

Mathematics

2 answers:

Luden [163]3 years ago

7 0

Answer:

hope this helps you!!

user100 [1]3 years ago

6 0

Answer:

Step-by-step explanation:

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If I told you that Mexico's population was 100,000,000 and that their population growth rate was 3.5%, then what would their pop

Stels [109]

Answer:

The population one year from now would be 103,500,000

Step-by-step explanation:

The current population is 100,000,000

Growth rate of 3.5%.

So the population one year from now is 3.5% of the current population(100,000,000) added to the current population(100,000,000).

3.5% of 100,000,000 is 0.035*100,000,000 = 3,500,000.

Added to 100,000,000

100,000,000 + 3,500,000 = 103,500,000

The population one year from now would be 103,500,000

7 0

3 years ago

What is 17,574 in expanded form?

NikAS [45]

Answer:

10,000 + 7,000 + 500 + 70 +4

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Graph the system of equations. {4x+4y=16 x+6y=−6 Use the Line tool to graph the lines.

tatiyna

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$4x+4y=16$ -----> equation A

$x+6y=-6$ -----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

In this problem

The intersection point is $(6,-2)$

therefore

The solution is the point $(6,-2)$

using a graphing tool

see the attached figure

5 0

3 years ago

2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

Ket [755]

Answer:

$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

<u>Start by calculating the mean</u>

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

$\bar x = \frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

$\bar x = \frac{7531}{91}$

$\bar x = 82.76$

Next, calculate the variance using the following formula:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}$

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

$\sigma^2 = 127.26$

Lastly, take the square root of the variance to get the standard deviation

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{127.26}$

$\sigma = 11.28$ --- approximated

<em>Hence, the standard deviation is approximately 11.28</em>

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

8 0

2 years ago

A new car is purchased for 17600 dollars. The value of the car depreciates at 11.75% per year. What will the value of the car be

Liula [17]

Answer:

The answer would be 4,450

Step-by-step explanation:

6 0

3 years ago