All categories

3 years ago

Find the range of the data set 37 40 33 45 32 34

Mathematics

1 answer:

Lelechka [254]3 years ago

3 0

Answer: 13

Step-by-step explanation: The range of a group of numbers is the difference between the largest and smallest numbers. First, we can order these numbers from least to greatest.

32 - 33 - 34 - 37 - 40 - 45

Next, we can subtract the smallest number from our largest number.

Smallest number = 32

Largest number = 45

45 - 32 = 13

Therefore, the range of these numbers is 13.

You might be interested in

Find the area of the rectangle in cm2 12 CM 5 CM

Rom4ik [11]

Answer:

Step-by-step explanation:

12CMx

7 0

3 years ago

Read 2 more answers

I need to check my answer

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

5 0

3 years ago

22 Students is what % of 55?

Klio2033 [76]

The answer is 12.1. hope this is right.

7 0

3 years ago

Read 2 more answers

Can someone please help me with my Question #29 of The Quadratic Relations for me please?

lara [203]

Answer:

Calculate the first differences between the y-values:

$\sf 3 \underset{+1}{\longrightarrow} 4 \underset{+3}{\longrightarrow} 7 \underset{+5}{\longrightarrow} 12 \underset{+7}{\longrightarrow} 19$

As the first differences are not the same, we need to calculate the second differences:

$\sf 1 \underset{+2}{\longrightarrow} 3 \underset{+2}{\longrightarrow} 5 \underset{+2}{\longrightarrow} 7$

As the second differences are the same, the relationship between the variable is quadratic and will contain an $x^2$ term.

--------------------------------------------------------------------------------------------------

To determine the quadratic equation

The coefficient of $x^2$ is always half of the second difference.

As the second difference is 2, and half of 2 is 1, the coefficient of $x^2$ is 1.

The standard form of a quadratic equation is: $y=ax^2+bx+c$

(where a, b and c are constants to be found).

We have already determined that the coefficient of $x^2$ is 1.

Therefore, a = 1

From the given table, when $x=0$ , $y=12$ .

$\implies a(0)^2+b(0)+c=12$

$\implies c=12$

Finally, to find b, substitute the found values of a and c into the equation, then substitute one of the ordered pairs from the given table:

$\begin{aligned}\implies x^2+bx+12 & = y\\ \textsf{at }(1,19) \implies (1)^2+b(1)+12 & = 19\\ 1+b+12 & = 19\\b+13 & =19\\b&=6\end{aligned}$

Therefore, the quadratic equation for the given ordered pairs is:

$y=x^2+6x+12$

7 0

2 years ago

Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29)

vichka [17]

Answer:

x=-4,1,2+5i,2-5i

Step-by-step explanation:

Given is an algebraic expression g(x) as product of two functions.

Hence solutions will be the combined solutions of two quadratic products

$g(x) = (x^2 + 3x - 4)(x^2 - 4x + 29)\\$

I expression can be factorised as

$(x+4)(x-1)$

Hence one set of solutions are

x=-4,1

Next quadratic we cannot factorize

and hence use formulae

$x=\frac{4+/-\sqrt{16-116} }{2} =2+5i, 2-5i$

5 0

3 years ago