The tallest living man at one time had a height of 224 cm. The shortest living man at that time had a height of 97.8 cm. Heights of men at that time had a mean of 174.21 cm and a standard deviation of 5.56 cm. Which of these two men had the height that was more​ extreme?

Answer:

independence I think

Answer:

Arithmetic

 Arithmetic calculations

 * : Multiplication

 / : Division

 Integer division truncates remainder

7 / 5 evaluates to 1

 % : Modulus operator returns remainder

7 % 5 evaluates to 2

Answer:

The volume is 588 ft³

Step-by-step explanation:

[tex]v = a {}^{2} \frac{h}{3} = 14 {}^{2} \times \frac{9}{3} = 588[/tex]

Answer:

254.6 ft3 F

Step-by-step explanation:

To find the volume of the pyramid, first calculate the area of the base.

As the pyramid is the regular triangular pyramid, the base is an equilateral triangle.

To find the area of the equilateral triangle, calculate the length of the height.

Since the triangle is equilateral, each angle in the triangle equals 60°.

The height forms a 30°- 60°- 90° triangle. One leg of this triangle is equal to half of the side of the large triangle, or 7 ft. The other leg of the triangle is equal to 73‾√ ft by the 30°- 60°- 90° Triangle Theorem.

Therefore, the length of the height of the triangle is 73‾√ ft.

To find the area of the base of the pyramid, B, use the formula for the area of a triangle, B=12bh.

Substitute 14 for b and 73‾√ for h.

B=12⋅14⋅73‾√

Simplify.

B=493‾√ ft2

To find the volume of the pyramid, use the formula for the volume of a pyramid, V=13Bh.

Substitute 493‾√ for B and 9 for h.

V=13⋅493‾√⋅9

Simplify.

V=1473‾√

Use a calculator to approximate.

V≈254.6 ft3

Therefore, the volume of the regular triangular pyramid is about 254.6 ft3.

Answer:

(7x+3)(-x-3)

Step-by-step explanation:

-7x²-24x-9 would be the same thing as (7x+3)(-x-3) because 7x*-x=-7x², +3*-3=-9, and 7x*-3 - 3x = -24x

9514 1404 393

Answer:

  both cost $13 each

Step-by-step explanation:

Let p and a represent the costs of pecan and apple cheesecakes, respectively.

  3p +7a = 130 . . . . . . Lisa's sale

  12p +14a = 338 . . . . Jasmine's sale

Both the ratios of p-coefficients (4) and a-coefficients (2) are "nice" numbers, so "elimination" is a viable solution method here.

Subtracting twice the first equation from the second eliminates 'a'.

  (12p +14a) -2(3p +7a) = (338) -2(130)

  6p = 78 . . . . . simplify

  p = 13 . . . . . . .divide by 6

Substituting into the first equation gives ...

  3(13) +7a = 130

  7a = 91 . . . . . . . subtract 39

  a = 13 . . . . . . . . divide by 7

The cost of one pecan cheesecake is $13; the cost of one apple cheesecake is $13.

__

A graphing calculator can solve the two equations nicely. Below is a graph of them, showing the solution is (p, a) = (13, 13). Graphing calculators and some scientific calculators can also solve these equations when they are written in matrix or augmented matrix form. It can be worthwhile to learn how to use these calculator features.

Answer:

[tex](25,-71)[/tex]

Step-by-step explanation:

Given

[tex](x,y) = (19,5)[/tex] --- midpoint

[tex](x_1,y_1) = (13,81)[/tex] --- end 1

Required

The other endpoint

Using midpoint formula, we have:

[tex](x,y) = 0.5 * [x_1 + x_2, y_1 + y_2][/tex]

So, we have:

[tex](19,5) = 0.5 * [13 + x_2, 81 + y_2][/tex]

Multiply both sides by 2

[tex]2 * (19,5) = 2 * 0.5 * [13 + x_2, 81 + y_2][/tex]

[tex](38,10) = [13 + x_2, 81 + y_2][/tex]

By comparison:

[tex]x_2 + 13 = 38[/tex] and [tex]y_2 + 81 = 10[/tex]

So:

[tex]x_2 = 38 - 13[/tex]

[tex]x_2 = 25[/tex]

and

[tex]y_2 = 10 - 81[/tex]

[tex]y_2 = - 71[/tex]

Henc, the other endpoint is:

[tex](25,-71)[/tex]

A number raised to a fraction would be the same as a root to the inverse of the fraction.

What that means is the sqrt(8) raised to 1/4 is the same as being 4th root of 8.

So rewriting the given equation you would have cubic root 8 x 4th root 8

Combine the roots by multiplying: 3 x 4 = 12

The equivalent equation would be C. 12 root 8 ^ x

9514 1404 393

Answer:

  51°

Step-by-step explanation:

The two marked angles are a linear pair, so supplementary.

  (3x +15) +(10x +9) = 180

  13x = 156 . . . . . . subtract 24

  156/13 = x = 12 . . . . divide by 13

The smaller angle is ...

  3x +15 = 3(12) +15 = 51

The angle with the basement floor is 51°.

Answer:

4

Step-by-step explanation:

The scale factor from 3m to 9m is ×3

So do 12 / 3 = 4

Answer:A

Step-by-step explanation:

● Alternate interior angles are always equal.

Answer: 6/8

simplify by 2 and you get 3/4 your answer is 3/4

Step-by-step explanation:

Answer:

$6.47

Step-by-step explanation:

set up a ratio

[tex]\frac{1.99}{1} =\frac{x}{3.25}[/tex]

cross multiply

6.47=x

Answer: X=dc/10+8/5   X=AB/4 -5 hope it helps

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Answer:

I think B.6 is the answer

Answer:

You know you forgot to put a pictures I would recommend to put a picture to get desired answers!

Step-by-step explanation:

Answer:7,10,13,16

:))))

Answer:

The answer is H.) (A, B, C)

Step-by-step explanation:

3 is a whole number and a natural number and 4/3 is a rational number

Answer:

x= 20,1 degrees

Step-by-step explanation:

The sum of the inner angles of a triangle is 180 degrees

So it must be

3x-11+6x-10+x = 180

added up the terms with x

10x -11-10 = 180

added up the terms without x

10x - 21 = 180

added up (21) in the two members of the equation

10x-21+21 = 180+21

10x = 201

divide the two members by 10

x = 20,1 degrees

Answer:

1) Yes

2) Yes

3) Yes

4) No

5) Yes

6) Yes

7) Yes

8) Yes

9) Yes

10) No

Step-by-step explanation:

The triangle inequality theorem states that the length of any 2 sides of a triangle must be greater than the third side of that same triangle.

1) By Inspection, 2 + 10 > 11.

Thus, this set can be lengths of the sides of a triangle

2) 7 + 9 > 10

Yes, this set can be lengths of the sides of a triangle

3) 11 + 7 > 12

Yes, this set can be lengths of the sides of a triangle

4) 11 + 7 < 20

No, this set cannot be lengths of the sides of a triangle

5) 10 + 8 > 13

Yes, this set can be lengths of the sides of a triangle

6) 7 + 2 > 7

Yes, this set can be lengths of the sides of a triangle

7) 5 + 12 > 13

Yes, this set can be lengths of the sides of a triangle

8) 13 + 12 > 18

Yes, this set can be lengths of the sides of a triangle

9) 11 + 3 > 13

Yes, this set can be lengths of the sides of a triangle

10) 12 + 3 < 19

No, this set cannot be lengths of the sides of a triangle

Answer:

36.87

Step-by-step explanation:

We can use SOH CAH TOA (sine, cosine, and tangent) to solve this problem.

SOH- means Opposite over Hypotenuse

CAH- means Adjacent over Hypotenuse

TOA- mean Opposite over Adjacent

U can use either one of these to solve this problem, I will be using sine SOH (sine).

sine C = 3/5

sine ^-1 3 divided by 5 =36.8698

So, angle C = 36.8698 and rounded to the nearest hundred is 36.87

Answer:

c

Step-by-step explanation:

Answer:

B: Dilation

Step-by-step explanation:

Translations, rotations, and reflections are all rigid transformations because the image isn't altered. This makes a dilation a non-rigid transformation because the image is getting larger or smaller.

Answer:

by cancellation method  we can cancel both the y's

so the leftover digits are, 12/3x

when simplifying, we will get 4/x

∴ the final answer is 4/x

hope this answer helps you.....

Answer:

Ok cool can i see the figure?

Answer: 761 yd

split the figure into different pieces to make it easier

(23 x 7) + (40 x 15)

161 + 600

761

hope this helped :)

Answer:

761 yd ^3

Step-by-step explanation:

Answer:

36/4=9 so each chair takes 9 nails so 9*9=81

B:81

Answer:

-2

Step-by-step explanation:

I'm not 100% sure but...

The x-intercept is when the y is 0.

And if we look at the coordinate plane, then we see that the x-intercept is two units down, and y is zero, which means that it would probably mean that the x-intercept is -2.