Find the mode of the data set: 37, 42, 39, 44, 47, 38, 42, 45, 49, 35

Answers

Answer 1

Answer:

The integer number 42 appears two times in a collection of the data. Then the mode of the data set will be 42.

What is the mode of the data?

Simply counting how several times each number looks in the data set can help you identify the mode, which is the integer that repeats the most frequently in the collected data. The figure with the largest total is the mode.

The data is given below.

37, 42, 39, 44, 47, 38, 42, 45, 49, 35

Arrange the data in ascending order, then we have

35, 37, 38, 39, 42, 42, 44, 45, 47, 49

The integer number 42 appears two times in a collection of the data. Then the mode of the data set will be 42.

More about the mode of the data link is given below.

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Answer 2

Answer:

Answer:

mode = 42

Step-by-step explanation:

The mode is the value which occurs most often in the data set.

42 occurs twice, others only once, thus

mode = 42

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If x-y=9 and xy=2,find the value of (x square + y square)

Answers

Answer:

x² + y² = 85

Step-by-step explanation:

Using the expansion

(x - y)² = x² + y² - 2xy , then

x² + y² - 2xy = (x - y)² ( add 2xy to both sides )

x² + y² = (x - y)² + 2xy ← substitute given values

= 9² + 2(2)

= 81 + 4

= 85

The Pythagorean theorem can be used to find a missing length of any triangle. True False

Answers

False it can only be used with triangles that have a right angle

Answer:

false

Step-by-step explanation:

Is .05 greater than 1/20

Answers

No, they are both the same.

32 is 40 percent of what number

Answers

The unknownnumber (x) is equal to 80.

This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.

We have,

To explain further, let's break down the calculation step by step:

We are given that 32 is 40 percent of some unknown number. Mathematically, this can be represented as:

32 = 0.40 x

To find the unknown number (represented by x), we want to isolate it on one side of the equation.

By dividing both sides of the equation by 0.40, we eliminate the 0.40 on the right side, and we have:

32 / 0.40 = x

Simplifying the left side:

80 = x

Therefore,

The unknownnumber (x) is equal to 80.

This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.

Learn more about percentages here:

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Further explanation

Given:

32 is 40 percent of what number?

The Process:

Let N as the number asked.

The mathematical equation of the question sentence represents as follows:

$\boxed{ \ 32 = 40 \% * N \ }$

Which can be rewritten to be

$\boxed{ \ 40 \% * N = 32 \ }$

All we have to do to get the N value is a division operation.

$\boxed{ \ If \ a * b = c, \ then \ a = c / b \ or \ b = c / a \ }$

$\boxed{ \ If \ a * b = c \ then \ a = (c)/(b) \ or \ b = (c)/(a) \ }$

$\boxed{ \ 40 \% * N = 32 \ }$

$\boxed{ \ N = 32 / 40 \% \ }$

Recall that $\boxed{ \ 40 \% = (40)/(100) \ }$

$\boxed{ \ N = 32 / (40)/(100) \ }$ ... Equation-1

Recall that $\boxed{ \ a / (b)/(c) \rightarrow a * (c)/(b) \ }$

$\boxed{ \ N = 32 * (100)/(40) \ }$ ... Equation-2

Both 100 and 40 divided by 10 to make it simpler.

$\boxed{ \ N = 32 * (10)/(4) \ }$

32 is crossed out with 4, in other words dividing each other.

$\boxed{ \ N = 8 * 10 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-1:

Recall that $\boxed{ \ (40)/(100) = 0.40 = 0.4 \ }$

From Equation-1 above, we rearrange it into

$\boxed{ \ N = (32)/(0.4) \ }$

Both the numerator and denominator are multiplied by 10.

$\boxed{ \ N = (320)/(4) \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-2:

From Equation-2 above, both 100 and 40 are divided by 20.

$\boxed{ \ N = 32 * (5)/(2) \ }$

32 is crossed out with 2, in other words dividing each other.

$\boxed{ \ N = 16 * 5 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-3:

$\boxed{ \ 40 \% * N = 32 \ }$

Both sides are multiplied by $\boxed{ \ (100)/(40) \ }$

$\boxed{ \ N = 32 * (100)/(40) \ }$

$\boxed{ \ N = 32 * (10)/(4) \ }$

$\boxed{ \ N = 32 * (5)/(2) \ }$

$\boxed{ \ N = 16 * 5 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Learn more

100 is ¹/₁₀ of what? brainly.com/question/96535
4 times as much as 3 is brainly.com/question/573729
68.32 divided by 2.8 is divisible brainly.com/question/5022643#

Keywords: 32 is 40 percent of what number, a division operation, fraction, multiply, 80, decimals, alternative steps, the mathematical equation

The trinomial x2+bx-c has factors of (x+m)(x-n) where m,n, and b are positive. What is the relationship between the values of m and n? Explain

Answers

Sample Answer: The value of m must be greater than the value of n. When you multiply the binomials, the middle term is the result of combining the outside and inside products. So, bx = –nx + mx, or bx = (–n + m)x. This means that b = –n + m. When adding numbers with opposite signs, you subtract their absolute values, and keep the sign of the number having the larger absolute value. Since b is positive, m must have the larger absolute value.

its right ur welcome

Answer:

(m - n ) = b

mn = c

The relationship between m and n is such that their product is c and their difference is b

Step-by-step explanation:

roots are x = -m and x = n

-m = -b/2 - root(b*b + 4c)/2

n = -b/2 + root(b*b + 4c)/2

(x + m)(x -n) = x*x +(m - n)x - mn

(m - n ) = b

mn = c

Micahhas been following stock ratings. He is keeping his eye on Sam's Pork
Bellies, and the pattern can be modeled by a sine function. He has found
it to have a maximum of 3, minimum of −5, and period of 2π. Which of
the following sine functions could model Micah's stock rating?