What is the range of the following data values? 47, 28, 92, 34, 83

Answers

Answer 1

Answer: First, put all of the numbers in a list ranking from high to low (or low to high) and subtract the highest and lowest values.

92 - 28 = 64
The range is 64

Hope this helps!!

Answer 2

Answer:

Answer:

Step-by-step explanation:

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3x+2y=19
x+y=8
ayuden por favor

Answers

3x + 2y = 19
x + y = 8

3 (x + y) = 3 (8)
3x + 3y = 24

3x + 2y = 19
-
3x + 3y = 24
--------------------
-y = -5
y= 5

x + y = 8
x + 5 = 8
x = 3

(3, 5)

if the population of a country increases at a rate of 1.5% annually, and it’s current population is 430,000, how many years will it take for the population to triple

Answers

Hi,
$a_0=430000\na_1=a_0*1.15\na_2=a_1*1.15=a_0*1.15^2\n...\na_n=a_0*1.15^n\na_n \geq 3*a_0\n1.15^n \geq 3\nn*ln(1.15) \geq ln(3)\nn \geq (ln(3))/(ln(1.15)) \nn \geq 7.86059688...\n\n\boxed{n \geq 8}\n$

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is.
Step 4: Substitute those values into the point-slope form. y – y1 = m(x – x1) y – 3 = (x – 1) Which of Talia’s steps is incorrect? Step 1 is incorrect because it uses a point that is not on the line. Step 2 is incorrect because it uses a point that is not on the line. Step 3 is incorrect because it shows an incorrect ratio of the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form

Answers

From the steps Talia chooses to find the equation of the line, we shall evaluate the incorrect step as follows:
Step 1:
Choose a point in the line such as (2,5)
Step 2:
Choose another point on the line, such as (1, 3)
step 3:
Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is.
(5-3)/(2-1)=2/2=1
step 4:
Substitute those values into the point-slope form
y-y1=m(x-x1)
y-3=2(x-1)
y=2x+1
Thus the answer is:
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form

just took the test the right answer is step 3 is incorrect

A fair was attended by 834,009 people. Round the number to the nearest ten thousand.

Answers

A fair was attended by 834,009 people

Rounding up this number of people to nearest ten thousand.

9 has a 'ones' value

Going to the right from left:

Second last zero has a 'tens' value.

Third from last zero has a 'thousands' value

4 has 'ten thousands' value

Round up 4 and because it is less than five it converts to zero

This gives an answer of 830,000.

93 is the sum of a number g and 58

Answers

Assuming you are hoping to obtain the value of "g", to solve worded algebra problems like these, it is easier to translate the world problem into a mathematical equation first.

In this case, "93 is the sum of a number g and 58" can be translated to:

93 = g + 58

To find the value of g, it is necessary to isolate g first. To do this, we subtract both sides of the equation by 58:

93 - 58 = g + 58 - 58
93 - 58 = g

Simplifying:
g = 35

Answer:

g=35

Step-by-step explanation:

Factorise it step by step
4r²-7r+3

Answers

To factor the quadratic expression 4r² - 7r + 3, we can use the factoring method. We're looking for two binomials in the form (ar + b)(cr + d) where ac = 4, ad + bc = -7, and bd = 3. Here's how to factor it step by step:

Step 1: Multiply the leading coefficient (4) by the constant term (3). This gives us 4 * 3 = 12.

Step 2: Find two numbers that multiply to 12 (the result from step 1) and add up to the middle coefficient (-7). These numbers are -4 and -3 because (-4) * (-3) = 12, and (-4) + (-3) = -7.

Step 3: Rewrite the middle term (-7r) using the numbers from step 2 (-4 and -3). We split the middle term like this:
4r² - 4r - 3r + 3

Step 4: Group the terms and factor by grouping:
(4r² - 4r) - (3r - 3)

Step 5: Factor out the greatest common factor from each group:
4r(r - 1) - 3(r - 1)

Step 6: Now you can see that (r - 1) is a common factor in both terms. Factor it out:
(r - 1)(4r - 3)

So, the factored form of the quadratic expression 4r² - 7r + 3 is (r - 1)(4r - 3).

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