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The heights of green bean starter plants at a nursery are Normally distributed with a mean of 40 centimeters. If a green bean plant that has a z-score of 1.67 has a height of 45 centimeters, then what is the standard deviation of this Normal distribution?
Round your answer to the nearest hundredths.​

Answer:

16

Step-by-step explanation:

f(x)=3x^(2)+2x,g(x)=5x-12, find f(2)= 16

Answer:

El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.

Step-by-step explanation:

Sea [tex]x[/tex] la distancia horizontal entre la pared y la base de la escalera y [tex]l[/tex] la longitud de la escalera, medidas en metros. Además, tenemos que [tex]\theta[/tex] es el ángulo entre la escalera y el piso, medido en radianes.

Si la pared y el piso son ortogonales entre sí, entonces podemos utilizar la siguiente relación trigonométrica que relaciona las variables anteriores:

[tex]\cos \theta = \frac{x}{l}[/tex]  (1)

Por diferenciación implícita y la definición de razón de cambio tenemos que:

[tex]-\sin \theta \,\dot \theta = \frac{\dot x}{l}[/tex] (2)

Donde:

[tex]\dot x[/tex] - Razón de cambio de la distancia horizontal entre la pared y la base de la escalera, medida en metros por segundo.

[tex]\dot \theta[/tex] - Razón de cambio del ángulo entre el piso y la escalera, medida en radianes por segundo.

Pero tenemos que el seno del ángulo está definido por:

[tex]\sin \theta = \frac{\sqrt{l^{2}-x^{2}}}{l}[/tex] (3)

Si aplicamos (3) en (2), expandimos la ecuación como sigue:

[tex]-\frac{\sqrt{l^{2}-x^{2}}}{l}\,\dot \theta = \frac{\dot x}{l}[/tex]

[tex]\dot \theta = - \frac{\dot x}{\sqrt{l^{2}-x^{2}}}[/tex] (4)

Si tenemos que [tex]\dot x = 5\,\frac{m}{s}[/tex], [tex]l = 13\,m[/tex] y [tex]x = 12\,m[/tex], entonces la razón de cambio del ángulo es:

[tex]\dot \theta = -\frac{\left(5\,\frac{m}{s} \right)}{\sqrt{(13\,m)^{2}-(12\,m)^{2}}}[/tex]

[tex]\dot \theta \approx -1\,\frac{rad}{s}[/tex]

El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.

Answer:

Function B

Step-by-step explanation:

✍️Rate of change for Function A:

Using any two pairs from the table of values given, say, (0, 1) and (4, 2):

Rate of change = [tex] \frac{y_2 - y_1}{x_2 -x_1} = \frac{2 - 1}{4 - 0} = \frac{1}{4} [/tex]

Rate of change for function A = ¼ = 0.25

✍️Rate of change for Function B:

Equation for Function B is given in the slope-intercept format, y = mx + b.

m = slope = rate of change.

Therefore, the function, y = 0.75x - 2 has a rate of change of 0.75.

Rate of change of Function B = 0.75.

✅0.75 if greater than 0.25, therefore, Function B has the greater rate of change.

The function which has a greater rate of change or slope is required.

Function B has a greater rate of change.

Rate of change is given by

[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]

The ordered pairs for the first function are

[tex](0,1),(4,2),(8,3),(12,4)[/tex]

Slope

[tex]m=\dfrac{2-1}{4-0}=\dfrac{1}{4}=0.25[/tex]

Since, it is a linear equation the slope will be equal for all ordered pairs.

The point slope form of a line is

[tex]y=mx+c[/tex]

where

m = Slope or rate of change

c = y intercept

Here, the equation is

[tex]y=0.75x-2[/tex]

The slope is 0.75.

Function B has a greater rate of change.

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Answer:

1 73/132

Step-by-step explanation:

GCF of 4, 11 and 3 is 132.

Convert the fractions and add!

Answer:

b

Step-by-step explanation:

If the sum of 1 and 3 times a number is 22, then x=7 is the solution and graph that represents the number

Two or more expressions with an Equal sign is called as Equation.

Given,

The sum of 1 and 3 times a number is 22.

Let the unknown number be x

1+3x=22

Now subtract 1 from both the sides

1+3x-1=22-1

3x=21

Divide both sides by 3

x=7

So the solution of sentence sum of 1 and 3 times a number is 22 is 7.

x=7 is the equation of graph that represents the number

Hence x=7 is the equation of graph that represents the number

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Step-by-step explanation:

1°.2°.3°.4°.5°.6°.7°.8°.9°.10°.11°.12°.13°.14°.15°.16°.17°.18°.19°.20°.

Answer:

D. 1

Step-by-step explanation:

Distribute the -1

5x - 4x +1 = 2

1x = 1

x=1

Answer:

It takes 10 weeks to spend each $500

Step-by-step explanation:

If he spend $50 each week on groceries, we can say that he spend $100 on groceries every two weeks

To make it to 500 dollars we would have to use the equation 100x5.

This equals to 500

We could also do 100 plus 100 plus 100 plus 100 plus 100.

Answer:

340 cars on her wall

( Brainlyst will help my rank, thanks! <3 )

Answer:

9,999,000

subtraction

Step-by-step explanation:

We can compare numbers using subtraction or division.

A question like "how much larger" usually means a comparison by subtraction. For example, how much larger is 10 than 8. Use subtraction: 10 - 8 = 2. Answer: 2.

A question like "how many times larger" usually means a comparison by division. For example, how many times larger is 30 than 5? Use division: 30/5 = 6. Answer: 6.

Here, the question is "how much larger" not "how many times larger," so we will compare with subtraction.

10^7 - 10^3 = 10,000,000 - 1,000 = 9,999,000

Answer

x=-2 and y=-3

Step-by-step explanation:

Step: Solvey=5x+7for y:

Step: Substitute5x+7 for y in 3x+y=−9:

3x+y=−9

3x+5x+7=−9

8x+7=−9(Simplify both sides of the equation)

8x+7+−7=−9+−7(Add -7 to both sides)

8x=−16

8x/8=−16/8

(Divide both sides by 8)

x=−2

Step: Substitute−2 for x in y=5x+7:

y=5x+7

y=(5)(−2)+7

y=−3(Simplify both sides of the equation)

Answer:

400

Step-by-step explanation:

240/60=4, meaning 4 people per every percentage. Which when 4 is multiplied by 100, you get 400=100%

Answer:

400

Step-by-step explanation:

60/100  =  240/?

Bat and Ball ( when do proportional table make a x like shape between/through each number. The number going diagainal multiplies, number next to number is used to divide the product of the diagainal numbers.)

240 x 100 = 24,000

24,000 divided 60 = 400

400 were survreyed

Answer:

if a figure has ten vertices then it is a star

Answer:

Learning of Galileo’s imprisonment

Step-by-step explanation:

I just went over this last week and i am 100% sure that this is correct

Answer:

No, it is not proportional

Step-by-step explanation:

Answer:

s = −24

Step-by-step explanation:

Step 1 : Move the negative sign to the left.

[tex]-\frac{s}{4} =6[/tex]

Step 2 : Multiply both sides by 4.

−s = 6 × 4

Step 3 :  Simplify 6 × 4 to 24.

−s = 24

Step 4 : Multiply both sides by −1.

s = −24

Answer:

x = 0

Step by step explanation:

g ( x ) = 2x + 3

If x = 0,

g ( 0 ) = 2 (0) + 3

or, g ( 0 ) = 3

Hope that helped :)

Answer:

135 miles

Step-by-step explanation:

45 mph means if you steadily go 45 mph for an hour you will have traveled 45 miles. Therefore you multiply your speed by time (45*3) which gives you 135 miles.

Answer:

y = 1

x = 1

Step-by-step explanation:

If y = x

Replace x with y

y = 11y - 10

y - 11y = -10

-10y = -10

y = 1

Hope this helps!

Have a nice day!

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Answer:

34

Step-by-step explanation:

8/2 = 4

6 times 5 = 30

30 + 4 = 34

Answer:

zoomMeeting ID: 8570913589 Passcode: K58Ech

Explanation:

NO FACE SHOWING   N^de ZOOM

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

A linear equation simplified should become y=mx+b.

Answer:

the question is incomplete, so I looked for similar ones

the number of bottles of water remaining as a function of time:

f(x) = -78x + 468

1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour

x = number of hours

the slope is -78

the y intercept is 468

domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)

range = 0 ≤ y ≤ 468 bottles

the snack will run out of bottles of water by 4 PM

78x = 468

x = 468 / 78 = 6 hours

if the snack wants to have enough bottles of water to serve all its customers, it will need:

78 x 7.5 hours = 585 bottles of water

Answer:

Since she sold $16,000, she earned commission on $13,000 of it.

So she earned $420 from $13,000

420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %

10

Step-by-step explanation:

Answer:

3.23% or 3.2% to the nearest tenth %

Step-by-step explanation:

Since she sold $16,000, she earned commission on $13,000 of it. So she earned $420 from $13,000. 420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %

Answer:

6+x

Step-by-step explanation:

I used photo math have a great thanksgiving

Answer:

We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.

a) A student has English at 10:00.

Here we can use T = 10:00 as the input, and the output will be the class, English.

Then this can represent this with:

C(10:00) = English.

b) Write a statement to describe the meaning of C(11:15) = chemistry.

for C(11:15) = Chemistry

The input, the time, is 11:15

The output, the class, is chemistry.

The student has a chemistry class at 11:15

Answer: x=25

Step-by-step explanation:

Simplifying

(2x + -10) = (65 + -1x)

Reorder the terms:

(-10 + 2x) = (65 + -1x)

Remove parenthesis around (-10 + 2x)

-10 + 2x = (65 + -1x)

Remove parenthesis around (65 + -1x)

-10 + 2x = 65 + -1x

Solving

-10 + 2x = 65 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.

-10 + 2x + x = 65 + -1x + x

Combine like terms: 2x + x = 3x

-10 + 3x = 65 + -1x + x

Combine like terms: -1x + x = 0

-10 + 3x = 65 + 0

-10 + 3x = 65

Add '10' to each side of the equation.

-10 + 10 + 3x = 65 + 10

Combine like terms: -10 + 10 = 0

0 + 3x = 65 + 10

3x = 65 + 10

Combine like terms: 65 + 10 = 75

3x = 75

Divide each side by '3'.

x = 25

Simplifying

x = 25

Sorry if its too confusing!

The point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)

The quotient is given as:

[tex]Quotient = \frac{3 - i}{i}[/tex]

Rationalize the expression

[tex]Quotient = \frac{3 - i}{i} \times \frac ii[/tex]

Expand the above expression

[tex]Quotient = \frac{3i - i^2}{i^2}[/tex]

Evaluate all exponents

[tex]Quotient = \frac{3i - (-1)}{-1}[/tex]

Remove bracket

[tex]Quotient = \frac{3i +1}{-1}[/tex]

Rewrite the above expression as follows:

[tex]Quotient = -3i -1[/tex]

Further, rewrite as:

[tex]Quotient = -1-3i[/tex]

In the above expression, the real part is -1, and the imaginary part is -3.

This point is represented by point C, because:

[tex]C = (-1,-3)[/tex]

Hence, the point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)

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Answer:

bruh

Step-by-step explanation:

42

Answer:

- 8n + 9

Step-by-step explanation:

A - B

= - 3n + 2 - (5n - 7) ← distribute by - 1

= - 3n + 2 - 5n + 7 ← collect like terms

= - 8n + 9 → or 9 - 8n