Alyssa has 9 markers and 24 pencils. What is the most number of kits she can make if each kit has the same number of items?

Part A

For Todd's class, we have this given info:

Compute the z score for x = 74.6

z = (x-mu)/sigma

z = (74.6 - 70.6)/(11.9)

z = 0.34 approximately

Side note: Convention usually has z scores rounded to two decimal places. If your teacher instructs otherwise, then go with those instructions of course.

======================================================

Part B

For Garret's English class, we have:

Compute the z score for x = 68.8

z = (x-mu)/sigma

z = (68.8 - 63.7)/(8.6)

z = 0.59 approximately

======================================================

Part C

Garret has the higher z score, which means that Garret did relatively better to his classmates compared to Todd's performance (in relation to his classmates). The z score is the distance, in units of standard deviation, the score is from the mean. Positive z values are above the mean, while negative z values are below the mean.

If you want to have

[tex]x^2-14x = (x+b)^2+c[/tex]

notice that expanding the right side gives

[tex]x^2-14x = x^2+2bx+b^2+c[/tex]

so that

[tex]\begin{cases}2b=-14 \\ b^2+c=0\end{cases}[/tex]

It follows that b = -7 and c = -49. Then

[tex]x^2-14x = \boxed{(x-7)^2-49}[/tex]

Answer:

the equaion of the new line is y = -2x + 13

Step-by-step explanation:

The slope of this line is 1/2.  Recall that if we are given such a slope and want the slope of a line perpendicular to the given line, we find the negative reciprocal of the slope of the given line.  Here, given m = 1/2, the slope of any line perpendicular to the given line is m = -2.

Now insert this info into the standard slope-intercept equation of a line:

y = mx + b becomes 5 = (-2)(4) + b.  Solve this for b:

5 + 8 = b = 13.

Thus, the equaion of the new line is y = -2x + 13.

Answer:

reciprocle of 6 is -1/6 reciprocle of6/5 is -5/6

Step-by-step explanation:

just flip the fraction and switch the sign

Answer:

Reciprocal is the multiplicative inverse of something

1. 1/6

2. 5/6

Answer:

6; 22; 20 (ft.)

Step-by-step explanation:

1) if the length of the each side are: n; 4n-2 and 4n-4, then the expression of the perimeter can be written: P=n+4n-2+4n-4 or P=9n-6.

2) if according to the condition perimeter is 48 (ft.), then

9n-6=P; ⇔ 9n-6=48; n=6.

3) if n=6, then the required lengths of the sides are:

n=6 (ft.);

4n-2=22 (ft.);

4n-4=20 (ft.)

Compute the derivative, dy/dx (use the chain rule):

y = 10/(1 + e ⁻ˣ) = 10 (1 + e ⁻ˣ)⁻¹

===>   dy/dx = -10 (1 + e ⁻ˣ)⁻² (-e ⁻ˣ) = 10e ⁻ˣ/(1 + e ⁻ˣ)²

Evaluate the derivative for x = 0 to get the slope of the tangent to the curve at (0, 5) :

dy/dx (0) = 10e ⁰/(1 + e ⁰)² = 10/(1 + 1)² = 10/4 = 5/2

Use the point-slope formula to get the equation of the tangent line:

y - 5 = 5/2 (x - 0)

===>   y = 5/2 x + 5

Answer:

Positive 1 over 6 raised to the 2nd power 1/62 or 1 over 36 which is 1/36. To find -6-2, take the inverse of -62.

(first find -62) -62 = -6 * -6 = 36

(then take the inverse of 36, which is 1 over 36) = 1 / 36 = 0.0277

so, -6-2 =0.0277

Step-by-step explanation:

Answer:

whqt other dude said B)

Step-by-step explanation:

Answer:

N = 20

Step-by-step explanation:

32+N=52

Subtract 32 from each side

32-32+N=52-32

N = 20

Answer:

The scientific notation:11,200×10^1

1,120×10^2

112×10^3

11.2×10^4

1.12×10^5

0.112×10^6

Step-by-step explanation:

PLS MARK BRAINLIEST

Answer: 17.6

Step-by-step explanation:

16*10/100

160/100

1.6+16

17.6

Answer:

17.6 feet

Step-by-step explanation:

16*10%(or 0.10)= 1.6 feet which is 10% of his 16 foot jump

16+ the 10% increase of 1.6= 17.6 feet as his new record

Answer:

Step-by-step explanation:

f(x) = -8x⁷ + 8x - 6

To find f(-x), we'll need to plug in -x instead of x.

f(x) = -8x⁷ + 8x - 6

f(-x) = -8(-x)⁷ + 8(-x) - 6

Answer:

There are 100 seats that are next to a window.

Step-by-step explanation:

You have to calculate 20% of the total number of seats.

20% can also be written as 20/100

so 20/100 x 500. If you solve this then you will get 100. Therefore, 100 seats are next to a window.

Answer: 100 seats are next to a window.

Step-by-step explanation: 1. We assume, that the number 500 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 500 is 100%, so we can write it down as 500=100%.

4. We know, that x is 20% of the output value, so we can write it down as x=20%.

5. Now we have two simple equations:

1) 500=100%

2) x=20%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

500/x=100%/20%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 20% of 500

500/x=100/20

(500/x)*x=(100/20)*x       - we multiply both sides of the equation by x

500=5*x       - we divide both sides of the equation by (5) to get x

500/5=x

100=x

x=100

now we have:

20% of 500=100

Answer:

parallelogram

Step-by-step explanation:

Answer:

m<y=22º

Step-by-step explanation:

180-19-41=120

m<1=120º

m<1≅m<2

m<2=120º

180-120-38=22

so y=22º

it's neither

Step-by-step explanation:

It's not symmetrical

Answer:

C

Step-by-step explanation:

The function is neither

Answer:

1-23.5

2-2

3-5.59

4-0.278

Answer: AB is 15

Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:

5x-15+3x-5=28

Add like terms:

8x-20=28

Add 20 to both sides

8x=48

Divide by 8

x=6

Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15

5(6)-15

30-15

AB=15

Answer:

1 out of 9

Step-by-step explanation:

I did this on khan academy a minute ago

Probability that both marbles are teal is 0.0571

Probability is a field of mathematics concerned with numerical representations of the likelihood of an event occurring or a statement being true.

Number of yellow marbles = 27

Number of teal marbles  = 9

Probability that both marbles are teal

[tex]=\frac{9}{36}\times \frac{8}{35} \\=0.0571[/tex]

Hence the probability that both marbles are teal is 0.0571.

Learn more about the probability at

https://brainly.com/question/25870256

#SPJ2

Answer:

so there is 29 swimming tbh ion knoe

Step-by-step explanation:

umm just add 24+5+1 yeah!

Answer:

since the other answer is wrong

                        so this is what it would look like

                              ducklings            

                                  5                     20      

                               adult ducks

                                    1                     4

                               total ducks

                                   6                   24

Answer:

$195.30

Step-by-step explanation:

$180 + 8.5 = $195.30

Answer:

Reciprocal is -1/16

opposite is +16 or 16

so answer is 16 is opposite of -16

Answer:

55% of 100 is 55% of 100

Step-by-step explanation:

just a guess

Answer:

3rd option

Step-by-step explanation:

We first need to find the diameter of the circle.

We know this is a square because all sides are marked by a line so this means they are equal. Let find the diagonal of the square to find all parts of the square.

The diagonal of a square is

[tex]a \sqrt{2} [/tex]

where a is the side lengths of the square.

So this means the diagonal of the square is

[tex]18 \sqrt{2} [/tex]

The diagonal is also the diameter of the main circle. The formula for circumference is

[tex]d\pi[/tex]

where d is the diameter.

So the diameter is

[tex](18 \sqrt{2} )\pi[/tex]

or

[tex]18\pi \sqrt{2} [/tex]

The third option is correct

Answer:

[tex]2y - 5w \\ here \\ \: y = - 3 \\ w = - 1 \\ then \: = > 2 \times (- 3) - 5 \times ( - 1) \\ = 2 \times - 3 - 5 \times - 1 \\ = - 6 + 5 \\ = - 1 \\ thank \: you[/tex]

The solution of expression after substituting given values is, - 1

We have to give that,

An expression is defined as,

2y - 5w

Here, y = - 3

w = - 1

Now, Substitute y = - 3 and w = - 1 in above expression,

we get;

⇒ 2y - 5w

⇒ 2 × - 3 - 5 × - 1

⇒ - 6 + 5

⇒ - 1

Therefore, The solution is, - 1

To learn more about the equation visit:

brainly.com/question/28871326

#SPJ6

Answer:

X = 150

Step-by-step explanation:

1/2x + 50 = 125

1/2x = 75

2(1/2x) = 150

x = 150

Hope this helps. Pls give brainliest.

Answer:

-11.55

Step-by-step explanation:

(to get the numbers out of the brackets you have to multiply all the numbers in the brackets to the number that is there, and in this case its 1.5)

1.5x(-2.4)= -3.6

1.5×(-5.3)= -7.95

after that, you add them (because there is a plus sign, not a minus, multiplication sign or a division sign.)

-7.95+ -3.6= -11.55

answer= -11.55

Answer:

y(3r)

Step-by-step explanation:

Answer:

it is 12

hope this answer helps you dear take care!

Answer:

D

Step-by-step explanation:

First student's calculation :

Area = 3*20*20 = 1200 sq. yds

Second student's calculation:

Area = 3.14 * 20 * 20 = 1256 sq. yds

Difference = 1256 - 1200 = 56 sq yds

Answer is D