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3 years ago

What is 4 + 7 x 2 – 8

Mathematics

1 answer:

Inessa [10]3 years ago

8 0

Answer:

The answer is 10.

Step-by-step explanation:

4 + 7 x 2 - 8.

7 x 2 = 14

4 + 14 = 18

18 - 8 = 10

So, the answer is 10

Hope this helps! :)

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1.dilate by 3/5 : (20,10)

inysia [295]

Answer:

a) )12,6)

b) (12,2)

c) (4,-7)

d) (9,-7)

Step-by-step explanation:

a) Dilation

When we dilate, we multiply the given scale factor by each of the coordinates

We have this as follows;

(20 * 3/5, 10 * 3/5) = (12, 6)

2. Here, we will add 5 to the x-axis value and subtract 6 from the y-axis value

We have this as;

(7+ 5, 8-6) = (12,2)

3. By reflecting across the x-axis

we have (x,y) changing to (x,-y)

so we have ;

(4,7) becomes (4,-7)

4. Rotation by 270 degrees (7,9)

If clockwise;

(x,y) becomes (y,-x)

so we have

(7,9) becoming (9,-7)

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3 years ago

Determine if the following scenario is inductive or deductive reasoning:

Elan Coil [88]

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8 0

3 years ago

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a^2 – 18 square units. Which i

netineya [11]

we know that

The area of the hexagon is equal to the sum of the areas of the six equilateral triangles

Let

x-------> area of one equilateral triangle

$6x=24a^{2} -18$

Divide by $6$ both sides

$x=4a^{2} -3$ -------> area of one equilateral triangle

To find an equivalent expression for the area of the hexagon based on the area of a triangle, multiply the area of one equilateral triangle by $6$

$6*(4a^{2} -3)$

therefore

the answer is

The equivalent expression is equal to $6*(4a^{2} -3)$

6 0

3 years ago

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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.

Start by calculating the mean

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

Hence, the standard deviation is approximately 11.28

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

3 years ago

Convert 65 millimeters to centimeters Pls use step by step pls

Blababa [14]

Answer:

65 mili= 6.5cm

Step-by-step explanation:

divide the length value by 10

6 0

3 years ago

Read 2 more answers