If you place a 24-foot ladder against the top of a 20-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.

help please ​

Answer:

75%

88.89%

Step-by-step explanation:

Given :

Mean = 70

Standard deviation = 12

Since the data is said to be extremely skewed, we apply Chebyshev's theorem rather than the empirical rule :

The minimum proportion of observation between 46 and 94

Chebyshev's theorem :

1 - 1 / k²

k = number of standard deviations from the mean

k = (94 - 70) / 12 = 24 / 12 = 2

Hence, we have ;

1 - 1/2²

1 - 1/4

1 - 0.25 = 0.75

Hence, The minimum proportion of observation between 46 and 94 is 75%

Between 36 and 106 :

k = (106 - 70) / 12 ;

k = 36/12 = 3

Hence,

1 - 1/3² = 1 - 1/9 = 8/9 = 0.8888 = 88.89%

The minimum proportion of observation between 34 and 106 is 88.89%

Answer:

3

Step-by-step explanation:

ca l  c

Answer:

-8

Step-by-step explanation:

-3x + 7x - 8 = 34 + 9x - 2

-3x + 7x - 9x = 34 - 2 + 8

-5x = 40|: (-5)

x = -8

[tex]{ \bf{ \underbrace{ The\:value\:of\:x\:is\:-8.}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ 4x - 9x = 32 + 8 \\ ⇢  - 5x = 40 \\ ⇢ x = \frac{40}{ - 5} \\ ⇢ x = - 8[/tex]

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ - 3 \times - 8 + 7 \times - 8 - 8 = 34 + 9 \times - 8 - 2 \\ ⇢24 - 56 - 8 = 34 - 72 - 2 \\ ⇢24 - 64 = 34 - 74 \\ ⇢ - 40 = - 40 \\ ⇢L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

3.14  cm

hope this helps

have a good day :)

Step-by-step explanation:

Answer: left 7 units, up 4 units, and vertical compression

Step-by-step explanation:

Given

The function is [tex]y=x^2[/tex]

First shift it to the left by 7 units, so the function becomes

[tex]y=(x+7)^2[/tex]

Now compress it to make it one-third

[tex]y=\dfrac{1}{3}(x+7)^2[/tex]

Now, sift the graph upward by 4 units

[tex]y=\dfrac{1}{3}(x+7)^2+4[/tex]

Thus , the conditions are left 7 units, up 4 units, and vertical compression.

Answer:

1010 - 100 = 110

Step-by-step explanation:

10 = 1010

4 = 100

answer is Jack is 89 years old and Priscilla is 69 years old

Step-by-step explanation:

first you would do 158 / 2 and that would equal to 79 so you would have two 79s you would change the first 79 to 69 and you change the second one to 89

9514 1404 393

Answer:

Step-by-step explanation:

Write the power of ten in standard form and do the multiplication.

  2.09 × 10^5 = 2.09 × 100,000 = 209,000

  9.4387 × 10^4 = 9.4387 × 10,000 = 94,387

  1.3 × 10^-3 = 1.3 × 0.001 = 0.0013

Answer:

It takes an apprentice four times as long as the experienced plumber to replace the pipes under an old house. It takes them 14 hours when they work together.

Step-by-step explanation:

5/(4x) = 1/14

x = 35/2

The plumber takes x = 35/2 hours to replace the pipes alone.

The apprentice takes 4x = 70 hours to replace the pipes alone.

Answer: 12.04 ft

Step-by-step explanation:

l = h² + r²

9² + 8²

81 + 64 = 145

√145 = 12.04

I hope this helps you.

Answer:

A. 5

Step-by-step explanation:

I assume the definitions are

an = 12 + (n-1)×5

an = an-1 + blank

if this is correct, then we have

a1 = 12

a2 = 12 + 5 = 17 = a1 + 5

a3 = 12 + 2×5 = 22 = a2 + 5

a4 = 12 + 3×5 = 27 = a3 + 5

...

we see, for an we need to add (n-1) times the number 5 to the initial a1 value.

so every new sequence number is larger by 5 than the previous one.

hence the answer.

Answer:

The quantifier is universal.

Step-by-step explanation:

In logic, a universal quantifier is one in which it is made clear that the stated pattern holds in all cases for the stated quantity; whereas an existential quantifier establishes that the stated quantity is a minimum floor in which the stated pattern exists.

Thus, given that the guideline says that no man can integrate a sisterhood, this implies that the guideline applies in all cases for the stated quantity, thus it is a universal quantifier.

Answer:

[tex] \frac{b ^{4} }{a ^{2}c ^{2} } [/tex]

Step-by-step explanation:

when dividing subtract the exponents

Answer:

D. 12 units

Step-by-step explanation:

l6l+l-6l=12

add the absolute values.

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

Answer:

1

[tex]3 + x = {x}^{2} + 3x \\ {x}^{2} + 2x - 3 = 0 \\ ( {x}^{2} + 2x + 1) - 3 - 1 = 0 \\ {(x + 1)}^{2} - 4 = 0 \\ {(x + 1)}^{2} = 4[/tex]

2

[tex] {(x + 1)}^{2} = 4 \\ x + 1 = ±2 \\ x = 1 \: or \: - 3[/tex]

Answer:

first answer is (x+1)^2=4 and the second one is x=-1 plus or minus 2

Answer:

0.16

Step-by-step explanation:

6,357 + 18,219 + 15,205 = 39,781

6,357 ÷ 39,781 = 0.1597

rounded to nearest hundredth its 0.16

Answer:

m= -2 -3

Step-by-step explanation:

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Given

[tex]b(x) = -1[/tex]

See attachment for graph

Required

Find x

To do this, we simply read the coordinates of the attached graph.

When [tex]b(x) = -1[/tex]

[tex]x = 2[/tex]

i.e.

[tex](x,b(x)) = (2,-1)[/tex]

Answer:

The mass of the smaller cylinder is 36 grams.

Step-by-step explanation:

Given that two similar cylinders have total surface areas of 45cm² and 20cm², if the larger has a mass of 81g, the following calculation must be performed to determine the mass of the smaller one:

45 = 81

20 = X

(20 x 81) / 45 = X

1620/45 = X

36 = X

Therefore, the mass of the smaller cylinder is 36 grams.

Answer:

well, okay. its basically what you wrote. assuming there was missing information.

let's dive right into it.

we'll assume that the problem asks for integers, whole numbers.

if x would be 0,

we would get 9 numbers out, 0, -1, -2, -3, -4, -5, -6, -7 and -8

if x would one, the range would be from 7 to -8, giving us 16 numbers

if x would be 2, the range would be from 14 to -8, giving us 23 numbers (7 more each time we increasex by one)

so the answer isn't a fixed value, but a function.

7x+9

the plus nine is true when x=0 and is still relevant for every other scenario

Answer:

66.1

Step-by-step explanation:

Answer:

66.1

Step-by-step explanation

To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth’s place.

Answer:

87.5 square inches

Step-by-step explanation:

The belt knuckle as shown in the diagram above consist of a 4 rectangles (2 are the of the same dimension, the other two are of the same direction differently) and a rectangle.

Area of the belt knuckle = area of the 4 triangles + area of the rectangle

✔️Area of the 2 rectangles with the following dimensions:

base (b) = 9 inches

height (h) = 2.5 inches

Area of the two triangles = 2(½*b*h)

= 2(½*9*2.5)

= 22.5 inches²

✔️Area of the 2 rectangles with the following dimensions:

base (b) = 4 inches

height (h) = 5 inches

Area of the two triangles = 2(½*b*h)

= 2(½*4*5)

= 20 inches²

✔️Area of the rectangle = l*w

l = 9 inches

w = 5 inches

Area = 9*5 = 45 inches²

✔️Area of the belt knuckle = 22.5 + 20 + 45 = 87.5 square inches

Answer:

Ok I did this at lightning McQueen speed so it might be wrong, but I got 5/8

Step-by-step explanation:

Actually I checked it and now I'm 98% sure it's right

Answer:

0.9375 ths of a cup of milk

Answer:

If A > B (A is greater than B), A will be on the right side of B, and B will be on the left side of A on a number line.

Step-by-step explanation:

This is because as you keep on going right on a number line, the numbers keep getting greater. Same idea vise versa (left side gets lesser). Therefore, if A is greater than B, it will be to the right of B on a number line. Look below for an example:

9514 1404 393

Answer:

  3/7

Step-by-step explanation:

The fraction is ...

  [tex]24\text{ g to }56\text{ g}=\dfrac{24\text{ g}}{56\text{ g}}=\dfrac{3}{7}\cdot\dfrac{8\text{ g}}{8\text{ g}}=\boxed{\dfrac{3}{7}}[/tex]

Answer:

3 / 7

Step-by-step explanation:

Fraction :-

24 g to 56 g

= 24 g / 56 g

= 3/7 + 8 g / 8 g

= 3/7

Answer:

22/100

Step-by-step explanation:

Percent means out of 100

22% is equal to 22/100

Answer:

c

Step-by-step explanation:

Percentage is basically just the number over a hundred.

10% is 10/100 or 1/10

So we do the same thing with 22%

22/100