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2 years ago

The following data set shows the number of books checked out from a library during the first two weeks of the month:

Mathematics

2 answers:

Kaylis [27]2 years ago

7 0

There is one outlier, indicating very few books were checked out on that day.

ivolga24 [154]2 years ago

7 0

Answer: There is one outlier, indicating very few books were checked out on that day.

Step-by-step explanation:

The given data of he number of books checked out from a library during the first two weeks of the month:

36, 39, 40, 42, 45, 2, 38, 41, 37, 38, 35, 37, 35, 38

Here , all the data value are near to each other except one i.e. 2.

Since 2 is very small value as compare to the other data values.

It means 2 is the outlier for the data.

It means only 2 books were checked out on that day, which is much lesser number of books than the other day.

Hence, the statements is true based on the data set :

There is one outlier, indicating very few books were checked out on that day.

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Solve for x for 1 and 2

taurus [48]

Answer:

1. 37.5

2. 8

Step-by-step explanation:

1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.

this means that 16/46 = 20/(x+20)

then, just solve that for x

16/46 = 20/(x+20)

divide both sides by 4

4/46 = 5/(x+20)

multiply both sides by (x + 20)

(x+20) * 4/46 = 5

multiply both sides by 46

4x + 80 = 230

subtract 80

4x = 150

divide 4

x = 37.5

2. do the same thing ( still similar triangles)

the equation would be (3x + 1)/10 = (7x - 1)/22

solve

22(3x + 1) = 10(7x - 1)

66x + 22 = 70x - 10

32 = 4x

x = 8

3 0

2 years ago

| What is the square root of -16?

Travka [436]

Answer:

$4i$

Step-by-step explanation:

Step 1: Find the answer

$\sqrt{-16}$

$\sqrt{4^2 * i^2}$

$4i$

Answer: $4i$

4 0

2 years ago

PLEASE HELP IF YOU ARE GOOD AT MATH!!!

polet [3.4K]

If we double the costs, then we are going to stretch the graph vertically (B). Here is why. If the cost was $6 in 2010 then it doubles in 2011 the new cost would be $12 for the same amount of refrigerators in 2010. Thus the stretch vertically

6 0

3 years ago

I can't figure out how to do (i + j) x (i x j)for vector calc

Vinil7 [7]

In three dimensions, the cross product of two vectors is defined as shown below

$\begin{gathered} \vec{A}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \\ \vec{B}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k} \\ \Rightarrow\vec{A}\times\vec{B}=\det (\begin{bmatrix}{\hat{i}} & {\hat{j}} & {\hat{k}} \\ {a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3}\end{bmatrix}) \end{gathered}$

Then, solving the determinant

$\Rightarrow\vec{A}\times\vec{B}=(a_2b_3-b_2a_3)\hat{i}+(b_1a_3+a_1b_3)\hat{j}+(a_1b_2-b_1a_2)\hat{k}$

In our case,

$\begin{gathered} (\hat{i}+\hat{j})=1\hat{i}+1\hat{j}+0\hat{k} \\ \text{and} \\ (\hat{i}\times\hat{j})=(1,0,0)\times(0,1,0)=(0)\hat{i}+(0)\hat{j}+(1-0)\hat{k}=\hat{k} \\ \Rightarrow(\hat{i}\times\hat{j})=\hat{k} \end{gathered}$

Where we used the formula for AxB to calculate ixj.

Finally,

$\begin{gathered} (\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=(1,1,0)\times(0,0,1) \\ =(1\cdot1-0\cdot0)\hat{i}+(0\cdot0-1\cdot1)\hat{j}+(1\cdot0-0\cdot1)\hat{k} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=1\hat{i}-1\hat{j} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=\hat{i}-\hat{j} \end{gathered}$

Thus, (i+j)x(ixj)=i-j

8 0

6 months ago

Pi/24 is the solution for 4cos2 (4x) - 3 = 0 True or false

inessss [21]

Answer:

True.

Step-by-step explanation:

Given,

4cos2 (4x) - 3 = 0

Now, 4π/24 = π/6

Or, cos π/6 = √3/2

Or, cos^2 π/6 = 3/4

Or, 4 cos^2 π/6 = 3

Now, Left Hand Side= 4cos2 (4x) - 3

= 3-3 =0 = Right Hand Side (Proved)

Here, Left Hand Side= Right Hanad Side. So, 4cos2 (4x) - 3=0 is true.

5 0

2 years ago

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