The average height of corn stalks in a field is 71 inches with a standard deviation of 4.3 inches. Sketch a normal curve labeling the horizontal axis at one, two, and three standard deviations from the mean.

Answer:

[tex]centre = ( \frac{1 - 7}{2} , \: \frac{2 + 2}{2} ) \\ = ( - 3, \: 2)[/tex]

[tex]length = \sqrt{ {( - 7 - 1)}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ { - 8}^{2} } \\ = 8 \: units[/tex]

radius = 8÷2

= 4 units

Johnny was right

Answer:

c)4*44 / 11

Step-by-step explanation:

which of the following is the correct way to solve 4/11 * 44

a) 4*11 / 44

= 44/44

= 1

b) 4*44 / 11*44

= 176/484

= 44/121

c)4*44 / 11

= 176/11

= 16

d)11*44 / 4

= 484/4

= 121

Correct way

4/11 * 44

= (4 * 44) / 11

= 16

Answer:

0.26 or C

Step-by-step explanation:

Basically you would do the sophomores that attended the jazz band concert (35) and divide that by the total number of students. (137) - - 35 ➗ 137 = .2554744526 round that to .26 or 0.26

The probability that a randomly chosen person from this group exists a sophomore and attended the jazz band concert is 0.31.

Probability exists about calculating or estimating how possible or 'probable' something exists to occur.

Let A be the event that a person exists a sophomore.

B be the event that a person attended volleyball game.

A∩B denote the event that a person exists a sophomore and attend volleyball game.

P be the probability of an event.

We have to estimate the value of P(A∩B),

Given: A∩B = 42

P(A∩B) = 42/137 = 0.3065 approximately equal to 0.31

P(A∩B) = 0.31.

The probability that a randomly chosen person from this group exists a sophomore and attended the jazz band concert is 0.31.

Therefore, the correct answer is option D. 0.31.

To learn more about probability refer to:

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Answer:

0

Step-by-step explanation: Solving for variable 'x'.

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

Add '-20y' to each side of the equation.

15x + 20y + -20y = 0 + -20y

Combine like terms: 20y + -20y = 0

15x + 0 = 0 + -20y

15x = 0 + -20y

Remove the zero:

15x = -20y

Divide each side by '15'.

x = -1.333333333y

Simplifying

x = -1.333333333y

Answer:

3 8

× 2 7

______

2 6 6

+ 7 6

_______

1 0 2 6

Answer:

     38

x    27

   266

+  76_

 1026

Answer:

The range is 5.

Step-by-step explanation:

You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9

17 cubic units.

The volume (V) of a parallelepiped with one vertex at the origin is given by the absolute value of the scalar vector product of the vectors at the adjacent vertices.

V = |(a x b) · c|

In this case,

a = (1,4,0) = i + 4k + 0j

b = (-2,-5,2) = -2i -5j + 2k

c = (-2,2,1) = -2i + 2j + k

First, let's calculate the cross product of vectors a and b. i.e a x b as follows:

(i) Arrange the vectors in a matrix form

a x b = | i        j         k |

          | 1       4        0 |

          | -2    -5        2 |

(ii) Calculate the determinant of the matrix

a x b = i(8 - 0) -j(2-0) + k(-5+8)

a x b = i(8) -j(2) + k(3)

a x b = 8i - 2j + 3k

Secondly, calculate the scalar product of the cross product found above and the vector c as follows;

(a x b) . c = (8i - 2j + 3k) · (-2i + 2j + k)

Multiply like terms

(a x b) . c = (8 * -2)(i.i) + (-2 * 2)(j.j) + (3 * 1)(k.k)             [i.i = j.j = k.k = 1]

(a x b) . c = (-16) + (-4) + (3)

(a x b) . c = -16 - 4 + 3

(a x b) . c = -17

Thirdly, find the absolute value of the result found above. i.e

|(a x b) . c| = |-17|

|(a x b) . c| = 17

Therefore, the volume of the parallelepiped is 17 cubic units.

Answer:

5:9

Step-by-step explanation:

1/5kg:360g

kg to g

1kg=1000g

1/5kg=1/5x1000

=200g

200g:360g

200g/360g

200/360

5/9

5:9

Answer:

B=17

A=16

Step-by-step explanation:

It is my friend OK if you want say again and I can ans

We keep brackets

(4n^2 + 3n - 5 ) -  (2n^2 + 3n + 6)

We change signs and we group

4n^2 - 2n^2 + 3n - 3n - 5-6

We simplify

2m^2 - 11

Answer: = 2.n^2  - 11

The value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11

The polynomial expression is given as;

(4n^2 + 3n - 5) - (2n^2 + 3n+ 6)

Open the bracket

4n^2 + 3n - 5 - 2n^2 - 3n- 6

Evaluate the like terms

2n^2 - 11

Hence, the value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11

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Answer:

x = 3/5 = 0.6

Step-by-step explanation:

By the ASA Triangle Congruence Theorem, the two given triangles are congruent (vertical angles are congruent). Because we know that corresponding parts of congruent triangles are congruent, we can write the following equation: 7x - 3 = 2x. Now we can solve:

7x - 3 = 2x

-3 = -5x

3/5 = x

Answer:

21.2

Step-by-step explanation:

BODMAS : First bracket, then Division then multiplication.

[tex]53 \div (13-8) \times 2\\53 \div 5 \times 2\\10.6 \times 2\\21.2[/tex]

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

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse [tex]f^{-1}(x)[/tex]

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

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

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

The domain of the resulting function exists on all real values that is the domain is -∞ < f-1(x) < ∞

The domain of a function are the independent values of the function for Which it exists.

Given the function f(x) = 3x + 2

Find its inverse

y = 3x + 2

Replace x with y

x = 3y + 2

Make y the subject of the formula:

3y = x - 2
y = (x-2)/3

The domain of the resulting function exists on all real values that is the domain is -∞ < f-1(x) < ∞
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9514 1404 393

Answer:

  C. A horizontal stretch by a factor of 5/4

Step-by-step explanation:

Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.

Answer:

[tex]r = 15 \times 5 \\ r = 75[/tex]

Answer:

75

Step-by-step explanation:

5 = r/15

what we want to do is solve for r

to do this we want to isolate the variable (r) using inverse operations

5 = r / 15

so to solve for r we want to get rid of the 15

r is being divided by 15

the inverse of division is multiplication

so to get rid of the 15 we multiply by 15

but remember whatever we do to one side we must do to the other side, so we multiply each side by 15

15 * 5 = 75

r / 15 * 15 = r

we're left with r = 75

we can then check are work by substituting 75 for r and then see if the equation is true

5 = r/15

* substitute 75 for r *

5 = 75/15

75 / 15 = 5

we're left with 5 = 5 which is true

Answer:

120

Step-by-step explanation:

First find the markup

80 * 50%

80*.5

40

Add this to the original cost

80+40

120

The price will now be 120

Answer:

If the student is selected at random the answer is if you put 14 years apart of the student selected at random means the answer are not apart.

Step-by-step explanation:

14 years selected the problem is that 14-9 is more then 9 and u add that up to get the right equation for the 14 years apart

9514 1404 393

Answer:

  False

Step-by-step explanation:

"Always" and "never" statements are generally false--especially when they relate to something like a topic of conversation. Even in the context of math and physics, we find exceptions to most "rules."

Step-by-step explanation:

[tex]4 {x}^{2} \times 2 {x}^{3} = 8 {x}^{5} [/tex]

Answer:

Step-by-step explanation:

4x^2 * 2x^3

(2)^2 *x^2 *2*x^3

(2)^2+1 *x^2+3

(2)^3 *x^5

8*x^5

8x^5

another method

4*x^2*2*x^3

multiply 4 and 2

8*x^2+3

8x^5

in multiplication if the bases are same we add their power(exponent).In division if the bases are same we subtract their power(exponent).

Answer:

40

Step-by-step explanation:

You can find y intercept by looking at the end of the equation, that’s what’s added. So +40 is the y intercept

The y intercept in this equation represents the one-time registration fee

Answer:

51

Step-by-step explanation:

Have a nice day :)

Answer:

[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]

Step-by-step explanation:

Given

[tex]\tan^2 \theta = \frac{3}{8}[/tex]

Required

[tex]\sec\ \theta[/tex]

We have:

[tex]\sec^2\theta = 1 + \tan^2 \theta[/tex]

This gives:

[tex]\sec^2\theta = 1 + \frac{3}{8}[/tex]

Take lcm and solve

[tex]\sec^2\theta = \frac{9+3}{8}[/tex]

[tex]\sec^2\theta = \frac{11}{8}[/tex]

Take square roots

[tex]\sec \theta = \frac{\sqrt{11}}{\sqrt 8}[/tex]

[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2}[/tex]

Rationalize

[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]

Answer:

answer is B

Step-by-step explanation:

i got it right on edg

Answer:

60° is the answer sure

I hope the above pic explanation helps

I HOPE IT HELPS

HAVE A GREAT DAY

#Liliflim

Answer:

60°

Step-by-step explanation:

....................................

9514 1404 393

Answer:

  9

Step-by-step explanation:

The total depth of a parking space must be (18 ft +23 ft) = 41 ft. The lot is 72 ft by 41 ft, so can have (72 ft)/(8 ft) = 9 parking spaces.

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The diagonals of a rhombus cross at right angles.

  2x +70 = 90

  2x = 20 . . . . . . . subtract 70

  x = 10 . . . . . . . . . divide by 2

Answer:

32

hope this helps

have a good day :)

Step-by-step explanation: