Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below. S = StartRoot StartFraction (12 minus 14) squared (14 minus 14) squared (9 minus 14) squared (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared 0 squared negative 5 squared 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 0 25 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19. 5 EndRoot. What is the first error he made in computing the standard deviation? Yuri failed to find the difference between each data point and the mean. Yuri divided by n instead of n -1. Yuri did not subtract 9 - 14 correctly. Yuri failed to square -2 correctly.

Answer:

[tex]18[/tex].

Step-by-step explanation:

Start by considering the two "[tex]\verb!P![/tex]"'s as being different from one another. That way, all five letters in this word would be distinct. With this assumption, the number of arrangements would be [tex]\left(\genfrac{}{}{0}{}{2}{1}\right) = 2[/tex] times that of the actual value.

Start by fixing the first and the last letter since they come with special requirements.

There are [tex]2[/tex] choices for the first letter (the vowel: [tex]\verb!A![/tex] and [tex]\verb!E![/tex].)

Under the assumption that the two "[tex]\verb!P![/tex]"'s are distinct, there would be [tex]3[/tex] choices for the last letter ([tex]\verb!L![/tex] and the two

After choosing the first and the last letters, there would be [tex](5 - 1 - 1) = 3[/tex] choices for the second letter, [tex](3 - 1) = 2[/tex] choices for the third, and [tex](2 - 1) = 1[/tex] for the fourth.

Thus, under the assumption that the two "[tex]\verb!P![/tex]"'s are distinct, there would be [tex](2 \times 3) \times (3 \times 2 \times 1) = 36[/tex] ways to choose the new word. Since this assumption doubles the number of arrangements, dividing the [tex]36[/tex] by [tex]\left(\genfrac{}{}{0}{}{2}{1}\right) = 2[/tex] would give the actual number of arrangements:

[tex]\begin{aligned}\frac{36}{\genfrac{(}{)}{0}{}{2}{1}} = \frac{36}{2} = 18\end{aligned}[/tex].

[tex]\begin{aligned}& 1 && \verb!APPEL!\\& 2 && \verb!APLEP!\\& 3 && \verb!APEPL!\\& 4 && \verb!APELP!\\& 5 && \verb!ALPEP!\\& 6 && \verb!ALEPP!\\& 7 && \verb!AEPPL!\\& 8 && \verb!AEPLP!\\& 9 && \verb!AELPP!\\& 10 && \verb!EAPPL!\\& 11 && \verb!EAPLP!\\& 12 && \verb!EALPP!\\& 13 && \verb!EPAPL!\\& 14 && \verb!EPALP!\\& 15 && \verb!EPPAL!\\& 16 && \verb!EPLAP!\\& 17 && \verb!ELAPP!\\& 18 && \verb!ELPAP!\end{aligned}[/tex].

Answer:

x = 20*

Step-by-step explanation:

180 - 110 = 70

90 - 70 = 20

x = 20*

reason is #5 Algebra

Have a nice day! :-)

Answer:

You're correct

Step-by-step explanation:

Basically, just add the answers with the given 67° until you get 180°

Answer:

30

Step-by-step explanation:

12-3= 9

75-48= 27

This is quadratic because it is like saying what is in between 9 and 27.

So the pattern is 9, 18, 27

so 12-3= 9

30-12= 18

48-30= Also 18

75-48= 27

Hope this helped :)

Answer:

b even though you made this hard to read lol, its b

Step-by-step explanation:

Step-by-step explanation:

To calculate each slope, just take any two points from each table, and plug them into this formula:⤵⤵⤵

(It'll be a bit small btw)

[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]

Table 1: I chose points (13,1) and (5,21)

21 - 1 = 20

5 - 13 = -8

Simplified = -5/2 ⬅ Slope

Table 2: I chose points (4,16) and (9,19)

19 - 16 = 3

9 - 4 = 5

3/5 ⬅ Slope

Table 3: I chose points (0,6) and (9,0)

0 - 6 = -6

9 - 0 = 9

Simplified = -2/3 ⬅ Slope

Table 4: I chose points (-8,1) and (-8,17)

17 - 1 = 16

-8 - (-8) = -8 + 8 = 0

Undefined slope (meaning the line will just be verticle)

Table 5: I chose points (2,3) and (3,5)

5 - 3 = 2

3 - 2 = 1

Simplified = 2 ⬅ Slope

Hope this helps :)

Answer:

1. 11 players per team

2. 60 miles per hour

3. 25 games per season

4. 60 words per minute

Step-by-step explanation:

1) 132 players divided by 12 teams = # of players per team

132/12 = 11 players per team

2) 240 miles divided by 4 hours = # of miles per hour

240/4 = 60 miles per hour

3) 125 games divided by 5 seasons = # of games per season

125/5 = 25 games per season

4) 180 words divided by 3 minutes = # of words per minute

180/3 = 60 words per minute

Answer:

k = 9/2

Step-by-step explanation:

Constant of proportionality, k = y/x

given: x/y = 2/9

since k = y/x, therefore, k value will now be inverse of 2/9, which is 9/2

Answer:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Step-by-step explanation:

Here hypotenuse is c, opposite is a and adjacent is b.

c^2 = a^2 + b^2

16^2 = a^2 + 12^2

a^2 = 16^2 - 12^2

a^2 = 112

a = √112 or 10.58

As the question uses inches I think it would be better if you wrote 10.58 in.

Hopefully this helps!!

They are doing the calculations, we can say that the alternatives are:

A) True

B) False

C) False

D) False

E) True

For this exercise, the equation should be used:

[tex]A(t)=-1.4t+96[/tex]

So analyzing the first given statement we will have to:

[tex]A(t)=-1.4t+96\\t=10\\A(t)=-14+96=82[/tex]

Based on the calculations, this statement is true, for the second statement we will have:

[tex]A(t)=-1.4t+96\\t=15\\A(t)=-21+96=75[/tex]

From the calculations this statement is false, so for the alternative we will have:

[tex]A(t)=-1.4t+96\\t=55\\A(t)=-77+96=19[/tex]

From the calculations this statement is false, so for the alternative we will have:

[tex]A(t)=-1.4t+96\\t=0\\A(t)=96[/tex]

Based on the calculations, this statement is true.

Learn more: brainly.com/question/516840

Answer:

In order to find the inverse of a function, we flip it over the line y=x, or we switch the x and y values in the equation and solve it for y. So let's do the latter:

m(x) = 5x - 5

y = 5x - 5

x = 5y - 5

5y = x + 5

y = (x + 5)/5

Step-by-step explanation:

hope this is helpful

Answer: f ^−1(x)=x+5

Answer:

1 gift

Step-by-step explanation:

Cost per gift + delivered cost

Selena       $6x + $18        

Demi           $8x + $16

$8x + $16 = $6x + $18

 $2x - $16 = $18

  $2x = $18 - $16

   $2x = $2

      x = 1

Answer:

Volume is 21

Explanation

Base length is 4.5

Widgth is 3.5

and height is 4 (I can't tell if its 2 because picture is blurry)

V=lwh/3=4.5·3.5·4= 21

Answer:

x < 10

Step-by-step explanation:

Given: x -4 < 6​

Add four to both sides: x < 10

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Angle PRQ is the same as NRM so therefore one of the three angles for both triangles is the same. Angle QPR and NMR are both 90 degrees and so the last angle must be the same in order for the three angles to be 180 degrees in total.

Step-by-step explanation:

Hope This Helps!!!

Answer:

-5e/6-2/3=-24

Step-by-step explanation:

Answer: $48

Step-by-step explanation:

132 - 84 = 48

Answer:

i. $3000

ii. $9000

Step-by-step explanation:

25%=1/4, so we find one fourth of 12000, which is 3000, which is how much he lost, and remove that from the price he bought it, and we get the selling price, $9000.

9514 1404 393

Answer:

  6. see attached

  7. (a, b) = (-2, 3)

  8. equation has issues

Step-by-step explanation:

6. Matrix addition is defined for corresponding terms, so the usual associative and commutative properties of addition apply. That is, ...

  A₁₁ +B₁₁ = (A+B)₁₁ . . . . . and the same for other corresponding terms

The attachment shows the sums are equal. (It is convenient to let a spreadsheet do the tedious repetitive work.)

__

7. To find 'a' and 'b', we only need to consider the matrix elements that involve those variables.

element 11: 5 = b +2   ⇒   b = 3

element 21: a = 2 +2a   ⇒   a = -2   (add -a-2 to both sides to get this)

__

8.  There are issues with this equation. It is incomplete and inconsistent.

element 11: p = p+4   ⇒   no solution

element 21: r = 0 +(2r  s)   ⇔   missing math symbol; problem is incomplete

element 12: q = 6 + (p +q)   ⇒   p = -6; q = anything

element 22: s = 2s +2   ⇒   s = -2   (add -s-2 to both sides)

_____

Additional comment

When a problem has issues of the kind that show up in question 8, I suggest that you have your teacher show you how to work the problem. If they're paying attention, they will discover the issues for themselves.

If they are able to work the problem, it will be because they filled in the missing information and resolved the inconsistencies. This will let you see the intended question.

Answer:

6.5

Step-by-step explanation:

bc I just no plus or it's 5

Answer: f(x) = (x −8)2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The domain of a function is a set of values that make the function real and defined. No matter what number you substitute as x, the result is always real. Hence, the domain would be from negative infinity to positive infinity.

Answer: I think it’s D

Step-by-step explanation:

Answer:

Option A: 0

Step-by-step explanation:

Given the multiplication of fractions, [tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}}[/tex]:

Simply multiply the numerators (together), as well as the denominators.

In other words:

[tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}\:=\frac{1\:\times\:24}{9\:\times\:25}\:=\:\frac{24}{225}}[/tex]

Since 24 and 225 do not have common multiples, then we cannot simplify the fraction into its lowest terms.

Next, in order to find out which is the closest value to the product, [tex]\huge\mathsf{\frac{24}{225}}[/tex], divide the numerator by the denominator, which gives you the following quotient:

[tex]\huge\mathsf{\frac{24}{225}\:=\:24\:\div\:225\:=\:0.1067}[/tex] or 0.11.

We must compare this quotient with the other options:

Option A) 0: This is a possible answer, since rounding 0.11 to the nearest ones (whole number) is 0.

Option B) 0.5:  Unlikely a valid answer, since the digit on the hundreths place is 0.11, and rounding it up to the nearest tenths will become 0.1.

Option C) 1: Definitely not a valid answer, according to the explanations provided in Options A and B.

For Option D) [tex]\huge\mathsf{\frac{21}{20}}[/tex] , we need to find its equivalent decimal form by dividing its numerator by the denominator:  [tex]\huge\mathsf{\frac{21}{20}\:=\:21\:\div\:20\:=\:1.05}[/tex]. Hence, it is also not a valid answer, according to the explanations provided in Options A and B.

Therefore, the closest value to  [tex]\huge\mathsf{\frac{24}{225}\:=\:0.11}[/tex] is Option A) 0.

Answer:

32

Step-by-step explanation:

y = 1/2sin[2(x + π/2)]. Now you can read that the graph is shifted from its standard starting position at (0, 0) left by π/2 and the period ...

y=3x+5

Parallel lines has equal slope .

Take the 2nd option

[tex]\\ \sf\longmapsto 6x+2y=12[/tex]

[tex]\\ \sf\longmapsto 3x+y=4[/tex]

[tex]\\ \sf\longmapsto y=-3x+4[/tex]

Take 3rd option

[tex]\\ \sf\longmapsto -3x+y=8[/tex]

[tex]\\ \sf\longmapsto y=3x+8[/tex]

Take the 1st option

[tex]\\ \sf\longmapsto 3y=9x[/tex]

[tex]\\ \sf\longmapsto y=3x[/tex]

Option C and A is correct

Answer:

C and A

Step-by-step explanation:

Parallel means same slope, which is 3. Just solve for y in each equation, and see if 3 is the slope.

a. 3y = 9x

y = 3x

---

b. 6x + 2y = 12

2y = -6x + 12

y = -3x + 6

---

c. -3x + y = 8

y = 3x + 8

---

d. y = -1/3 x

Answer:

[tex]1 + 2 = [/tex]

answer

Answer:

0.134

Step-by-step explanation:

"By" means multiplied by, so the question is, what's 0.00536 multiplied by 25?

In the first step, we multiply all the numbers in the decimal by 5, and we get 0.02680. In the second, we multiply all the numbers in the decimal by 20, and we get 0.10720. Then we add the two together and get 0.134.

I hope that helped :)

Answer:

0

Step-by-step explanation:

There is no gradient there.

(x - 2)(x + 1) = ...

= x² + (-2 + 1)x + (-2•1)

= x² - x - 2