Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7.43cm and a standard deviation of 0.35cm. Using the empirical rule, what percentage of the apples have diameters that are between 7.08cm and 7.78cm

Answer:

25x - 45

Step-by-step explanation:

5(5x - 9)

Distribute

5*5x - 5* (9)

25x - 45

Answer:

➛ 25 x - 45

Step-by-step explanation:

➛ 5 ( 5 x - 9 )

Using distributive property multiply both by 5

➛ 5 × 5 x - 5 × -9

➛ 25 x - 45

9514 1404 393

Answer:

  8

Step-by-step explanation:

The notation n=1 .. 8 means that n takes on all integer values from 1 to 8. Each value of n gives one term that is added to the series.

  The number of terms is 8.

Answer:

The correct answer is:

(a) 44.6 lb

(b) 0.371

Step-by-step explanation:

Given values are:

Mean,

[tex]\mu=36.6[/tex]

Standard deviation,

[tex]\sigma=11.9[/tex]

(a)

The z distance third quartile will be:

⇒ [tex]P(Z<0.674)=0.75[/tex]

                       [tex]z =0.674[/tex]

By using the z-score formula, we get

⇒ [tex]x=z\times \sigma+ \mu[/tex]

       [tex]=0.674\times 11.9+36.6[/tex]

       [tex]=44.62[/tex]

(b)

⇒ [tex]P(27.5<x<39.5) = P[{\frac{(27.5-36.6)}{11.9} <\frac{(x-\mu)}{\sigma} <\frac{(39.5-36.6)}{11.9} }][/tex]

                                  [tex]=P(-0.76<z<0.24)[/tex]

                                  [tex]=P(z<0.24)-P(z<-0.76)[/tex]

By using the z table, we get

                                  [tex]=0.5948-0.2236[/tex]

                                  [tex]=0.371[/tex]

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Explanation:

Start at the origin (0,0). Move 2 units up (rise) and move to the right 3 units (run) to arrive at the point (3,2).

This shows that the slope is rise/run = 2/3.

---------------------

You could also use the slope formula, which is,

m = (y2-y1)/(x2-x1)

You can use any two points from the orange line.

Answer:

976 ÷ 8 =

8 groups of n = 976

n groups of 8 = 976

122

____

8 | 976

- 8

____

176

- 16

_____

160

- 160

______

0

Answer:

4.196.754

Step-by-step explanation:

god bless stay safe po

Answer:

exponential form = 2.1^2

evaluation = 4.41

Step-by-step explanation:

it is times-ing 2.1 two times, therefore its 2.1^2

2.1 times 2.1 = 4.41

Step-by-step explanation:

I'm sorry I can't answer that but I know something so you can answer that. search Chrome quickmath all your problems, equations and more can be solved

Answer:

c = 3/2x + −3/2

Step-by-step explanation:

Let's solve for c

-3x+2c=-3

Step 1: Add 3x to both sides.

2c −3x + 3x = −3 + 3x

2c = 3x −3

Step 2: Divide both sides by 2.

2c = 3x−3

2        2

c = 3/2x + −3/2

Answer:

c = 3/2x + −3/2

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

Explanation:

The diameter is 24 inches, so the radius is half that at r = d/2 = 24/2 = 12 inches.

We'll use this along with the approximation pi = 3.14 to get the area

A = pi*r^2

A = 3.14*12^2

A = 452.16 square inches

Your teacher should have used "square inches" instead of "inches" as the unit.

We can abbreviate the "square inches" into "sq in" or "in^2".

This value is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to find a more accurate value.

The exact area is 144pi

Answer:

D. 452.16 sq inches

Step-by-step explanation:

d = 24 ==> r = 24/2= 12 inches

the area = π×r²

= 3.14 × 12²

= 3.14 × 144

= 452.16 sq inches

Answer:

[tex] \displaystyle 1)48.2 \: \: \text{sec}[/tex]

[tex] \rm \displaystyle 2)3021.6 \: m[/tex]

Step-by-step explanation:

so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

[tex] \displaystyle - 4.9 {t}^{2} + 229t + 346 = 0[/tex]

to solve the equation can consider the quadratic formula given by

[tex] \displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a} [/tex]

so let our a,b and c be -4.9,229 and 346 Thus substitute:

[tex] \rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)} [/tex]

remove parentheses:

[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)} [/tex]

simplify square:

[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)} [/tex]

simplify multiplication:

[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8} [/tex]

simplify Substraction:

[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8} [/tex]

by simplifying we acquire:

[tex] \displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5[/tex]

since time can't be negative

[tex] \displaystyle t = 48.2 [/tex]

hence,

at 48.2 seconds splashdown occurs

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

[tex] \displaystyle x _{ \text{max}} = \frac{ - b}{2a} [/tex]

let a and b be -4.9 and 229 respectively thus substitute:

[tex] \displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)} [/tex]

simplify which yields:

[tex] \displaystyle t _{ \text{max}} = 23.4[/tex]

now plug in the maximum t to the function:

[tex] \rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346 [/tex]

simplify:

[tex] \rm \displaystyle h(23.4) = 3021.6[/tex]

hence,

about 3021.6 meters high above sea-level the rocket gets at its peak?

Answer:

.43 · 80 = 34.4

Step-by-step explanation:

percentages into decimals = move decimal place to left two places

'of' means multiply in math

equations have equal (=) signs

Answer:

Hello There!!

Step-by-step explanation:

The answer is 3,9,15,21.

hope this helps,have a great day!!

~Pinky~

Answer:

the common difference is 6. So, the missing two terms are 9 and 15 using

3 + (n-1)(6)

Answer:

2.13%

Step-by-step explanation:

assume that the distribution is approximately normal

[tex]\frac{6700-5000}{850} =2[/tex]

the value is 2 s.d. more than the mean

according to normal distribution, approximately 2.13% of the data is 2 s.d. more than the mean.

Answer:

fjjjjjjjjjjjjjj?

aefieoapowiejfie

Answer:

30

Step-by-step explanation:

that is the procedure above

Answer:

more

Step-by-step explanation:

The answer is (5x+3)(-5x+3)

Answer:

the answer is 220

Step-by-step explanation:

the formula for surface area of a rectangular prism is A=2(wl+hl+hw)

w = width

h= height

l = length

and when you have those lengths, you have to substitute.

Answer:

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Step-by-step explanation:

Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.

So, r = √(R² - z²)

r = √(4² - z²)

r = √(16 - z²)

Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4

Our volume integral in cylindrical coordinates is thus

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Answer:

[tex]\displaystyle V = \int\limits^{2 \pi}_{0} \int\limits^{2\sqrt{3}}_{0} \int\limits^{\sqrt{16 - r^2}}_2 {r} \, dz \, dr \, d\theta[/tex]

General Formulas and Concepts:

Multivariable Calculus

Cylindrical Coordinate Conversions:

Volume Formula [Cylindrical Coordinates]:
[tex]\displaystyle V = \iiint_T \, dV \rightarrow V = \iiint_T {r} \, dz \, dr \, d\theta[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

Solid sphere w/ radius 4 centered at (0, 0, 0) → x² + y² + z² = 4²

Plane z = 2

Step 2: Find Volume Pt. 1

Find bounds of z.

∴ 0 ≤ r ≤ 2√3

Step 2: Find Volume Pt. 2

∴ 0 ≤ θ ≤ 2π

Step 3: Find Volume Pt. 3

∴ 2 ≤ z ≤ √(16 - r²)

Step 4: Find Volume Pt. 4

∴ the volume of the region is found with the integral above.

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Learn more about multivariable calculus: https://brainly.com/question/17203772

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Topic: Multivariable Calculus

Unit: Triple Integral Applications

Answer:

Answer: (C)A picnic table is on sale for 60 percent off.

Step-by-step explanation:

well someone copied me but okay :[

Answer:

I believe the question was written twice on accident

y=7x-38

Step-by-step explanation:

y-4=7(x-6)

y-4=7x-42

y=7x-38

Answer:

x = 10 + log(1/a^12)/(2 log(a)) + (i π n)/log(a) for n element Z

Step-by-step explanation:

Solve for x:

a^(20 - 2 x) = a^12

Take reciprocals of both sides:

a^(2 x - 20) = 1/a^12

Take the logarithm base a of both sides:

2 x - 20 = log(1/a^12)/log(a) + (2 i π n)/log(a) for n element Z

Add 20 to both sides:

2 x = 20 + log(1/a^12)/log(a) + (2 i π n)/log(a) for n element Z

Divide both sides by 2:

Answer: x = 10 + log(1/a^12)/(2 log(a)) + (i π n)/log(a) for n element Z

Answer:

18

Step-by-step explanation:

2/6

4/12

6/18

Answer:

x = 18

Step-by-step explanation:

We can write ratios

2      2+4

---- = -----

6       x

Using cross products

2x = 6(2+4)

2x = 6(6)

2x = 36

Divide by 2

2x/2 = 36/2

x = 18

Answer:

Step-by-step explanation:

y/5                  That's your quotient

y/5 + 2            That's the quotient with 2 added on.

y/5 + 2 = 4      And that's your answer.

Always break the statements into the smallest possible steps that you can. Notice that I broke it down to 3 parts that are not quite equal in length.

Answer: y= -1

Step-by-step explanation:

2+y=1  

y=1-2

y=-1

Answer:

c) 11/2

Step-by-step explanation:

(-4, 7) and (-6, -4)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 7) / (-6 - (-4))

Simplify the parentheses.

= (-11) / (-6 + 4)

= (-11) / (-2)

Simplify the fraction.

-11/-2

= 11/2

This is your slope.

Hope this helps!