Zachary is making a scale model of the sydney oprera house fir a report on sydney.Tge sydney opera house is 213 feet tall measuring from the ground to thr tip of thevjighest roof shell.If thevmodel is 1/100 the actual size of the sydney operahouse,how tall is the model?

The calculation of the circumference of a circle with a radius of 32 inches, using 3.14 for PI, gives a result of 201.0 inches.

The subject of this question involves calculating the circumference of a circle. The formula used to find the circumference of a circle is 2πr, where r is the radius of the circle. Here, π is approximated to 3.14 as given in the question, and the radius r is given as 32 inches.

Substituting the given values into the formula, we get circumference = 2 * 3.14 * 32 = 200.96 inches. Thus, the circumference of the circle to the nearest tenth is "201.0 inches."

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Answer:

I agree with Jose that the sum of the probability that a randomly selected pen will not be black and the probability that the pen will not be red is 1.

Step-by-step explanation:

If we sum the probability of not black and probability of not red, we will get 1.

The probability of not black means probability of red i.e 50/450

The probability of not red means probability of black i.e 400/450.

When we add the probability, we get 1.

50/450 + 400/450 = 450/450 = 1

Invariably, the statement is same as finding probability of black and probability of red; just that the value are interchanged.

Answer:

[tex]11\sqrt{3} + 5\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{108}+\sqrt{125} - \sqrt75}[/tex]

1. [tex]\sqrt{108} = 6\sqrt{3}[/tex]\

2. [tex]\sqrt{125} = 5\sqrt{5}[/tex]

3. [tex]\sqrt{75} = 5\sqrt{3}[/tex]

4.    Add [tex]6\sqrt{3} + 5\sqrt{3} = 11\sqrt{3}[/tex]

your left with [tex]11\sqrt{3}+5\sqrt{5}[/tex]

Answer:

12

Step-by-step explanation:

Answer:

the third answer is right

Step-by-step explanation:

its a rhombus because the 4 sides are of equal length and the opposite sides are parallel but there are no right angles.

Answer:

C) 1/12

Step-by-step explanation:

P(2) = 1/6

P(Tail) = 1/2

1/6 × 1/2

1/12

Answer:

d > - 7

Step-by-step explanation:

John is to have more then -7 dollars in his account by the end of this month.

Now,  the variable d is the number of dollars in John's bank account at the end of the month.

Therefore, the inequality in terms of d that is true only if John meets his monthly goal will be

d > - 7 (Answer)

Answer:

a) 7.54189*10^-8

b) 0.99999999

c) E ( X ) = 0.39 , s ( X ) = 0.604

Step-by-step explanation:

Solution:-

- We will assume the proportion of people with A- blood group is independent and remains constant for a fairly small sample of n = 6 Americans selected at random.

- We will denote a random variable X = The number of americans out of 6 that have blood group type A-.

- The random variable is assumed to follow binomial distribution.

- The probability of success is the proportion of people in U.S that have blood group type A-, p = 0.065:

                        X ~ Bin ( 6 , 0.065 )

Where, r represents the number of americans out of selected 6 have blood group A-. The pmf of a binomial variate is given as:

                       P ( X = r ) = nCr * ( p ) ^r * ( 1 - p ) ^ ( n - r )

a) Find the probability that all 6 are type A-

- We will pmf given above and set r = 6. And evaluate the resulting probability:

                     P ( X = 6 ) = 6C6 * ( p )^6 * ( 1  - p ) ^ ( 0 )

                                      = p^6

                                      = ( 0.065 )^6  

                                      = 7.54189*10^-8

b) Find the probability that at most 4 of them are type A-

- We will pmf given above and evaluate the following expression:

                     P ( X ≤ 4 ) = 1 - P ( X = 5 ) - P ( X = 6 )

                     P ( X ≤ 4 ) = 1 - 6C5 * ( p )^5 * ( 1  - p ) ^ ( 1 ) - p^6

                                      = 1 - 6*(0.065)^5 ( 0.935 ) - 0.065^6

                                      = 1 - 6.50923*10^-8 - 7.54189*10^-8        

                                      = 0.99999999          

c) Find the mean and standard deviation.

- The mean E ( X ) of the defined random variable distributed binomially is given by:

                     E ( X ) = n*p = 6*0.065 = 0.39 people

- The mean s( X ) of the defined random variable distributed binomially is given by:

                    s ( X ) = √n*p*q = √(6*0.065*0.935) = 0.604

"more" means added to, or addition. So 8 more than 'x' is:

x + 8

Answer:

a = 15.59   c= 31.18

27 tan 30 = a

c cos 30 = 27

c = 27/cos30

c = 31.18

Answer:

2 x minus 3 y = 12

Negative 4 (2 x minus 3 y) = negative 4 (12)

Step-by-step explanation:

y = two-thirds x minus 4

y = (⅔)x - 4

Multiply the entire equation by 3

3y = 2x - 12

2x - 3y = 12

Multiply both sides by -4

-4(2x - 3y) = -4(12)

Answer:

b

Step-by-step explanation:

Answer:

71

Step-by-step explanation:

because the theorem is sum of the square

The answer is d. hypotenuse.

Here's why:

The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (the legs).

So, if you have a right triangle with legs of length a and b, and hypotenuse of length c, the equation would be: a^2 + b^2 = c^2.

Therefore, the sum of the squares of the legs (a^2 + b^2) is equal to the square of the hypotenuse (c^2).

The other options are incorrect because:

a. shorter leg: The theorem doesn't differentiate between the lengths of the legs, it simply states that the sum of their squares is equal to the square of the hypotenuse.

b. longer leg: Same as above, the theorem doesn't consider the individual lengths of the legs, just their squares.

c. sum of the angles: The Pythagorean Theorem deals with the sides of a right triangle, not its angles. The sum of the angles in any triangle is always 180 degrees.

Complete Question:

In the Pythagorean Theorem, the sum of the squares of the legs is equal to the square of the

a. shorter leg

b. longer leg

c. sum of the angles

d. hypotenuse

Answer:

52 quarters

Step-by-step explanation:

-We know that a quarter dollar is equivalent to $0.25

[tex]\$1=4 \ Quarters[/tex]

-Given that Haley has $13, we multiply this amount by 4 since $1 has 4 quarters to obtain the number of quarters:

[tex]Q=13\times 4\\\\=52[/tex]

Hence, Hayley will get 52 quarters.

Answer:

34.54 inches.

Step-by-step explanation:

The formula for the circumference of the circle is given as [tex]C=\pi d[/tex], where [tex]\pi[/tex] is rounded to 3.14 and d is the diameter of the circle, 11 inches. Simply plug these values into the equation for the circumference to get your answer:

[tex]C=\pi d\\C=(3.14)*(11)[/tex]

C = 34.54 inches

Answer:

34.54 inches

Step-by-step explanation:

C=πd

d=11

C = 11 * 3.14

C = 34.54 inches

Answer:

30 minutes

Step-by-step explanation:

Just look at the minutes only. Since you need 4 o'clock to 4:30, its only 30 minutes.

Answer:

30 minutes

Step-by-step explanation:

All you have to do is subtract 4:30 and 4:00 and get 30 minutes.

Answer:

cot θ = 24/7

Step-by-step explanation:

This will be difficult to explain without a diagram, but let's proceed.

Since sec θ = 25/24 (secant θ is equal to hypotenuse/adjacent) the hypotenuse of the triangle is 25 and the side adjacent to θ will be equal to 24. To find the opposite side-length you can use the Pythagorean theorem.

25^2 = 24^2 + a^2    (You can use either a or b as the variable)

625 = 576 + a^2    (Subtract 576 from each side)

a^2 = 49

a = 7    (The sqrt of 49 is 7    |    This is the side-length of the opposite side relative to θ)

Since cotangent is always adjacent/opposite:

cot θ = 24/7

Answer: the population of the culture 6 days after inoculation is 2313.

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the population after t days.

t represents the number of days.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 1000

r = 15% = 15/100 = 0.15

t = 6 days

Therefore

y = 1000(1 + 0.15)^6

y = 1000(1.15)^6

y = 2313

Answer:

Median and Interquartile range (IQR)

Step-by-step explanation:

I did it :)

Answer:

24

Step-by-step explanation:

Answer:

26 °, 51 °, 103 °

Step-by-step explanation:

-A triangle is a 3-sided regular polygon.

-The sum of it's interior angles add up to 180°.

-Only the 26 °, 51 °, 103 ° set add exactly up to 180° and therefore satisfies the triangle's interior angles condition.

Answer:

The answer A trust me

Step-by-step explanation:

Answer:

[tex]n > -4[/tex]

Step-by-step explanation:

Step 1:  Convert into an expression

Twice a number minus 4 is less than three times the number

   [tex]2n - 4 < 3n[/tex]

Step 2:  Solve for the number

[tex]2n - 4 - 2n < 3n - 2n[/tex]

[tex]-4 < n[/tex]

Answer:  [tex]n > -4[/tex]

Answer:

Nitrogen 7  = 1     ---- Most Basic

Nitrogen 1 =  2    

Nitrogen 3 =  3    ------ Least Basic

Step-by-step explanation:

The basicity of amino acids is as a result f the unshared pair of electrons in the Nitrogen atoms.

Part of the rule of basicity of organic compounds(amino acids) posits that:

The more  unstable an electron pair is, the more basic it is.

From the diagram attached below;

Nitrogen 7 posses and unstable electron due to the lone pair of electron in the NH₃⁺ which renders it most basic .

Nitrogen 1 and 3 are in ring form thereby they are less basic But nitrogen 1 is  more basic compared to nitrogen 3 because lone pair on Nitrogen 1 is not involved in resonance unlike Nitrogen 3 that is  resonance stabilized (i.e alternating by a resonance effect).

Another phenomenon to deduce the basicity of Histidine is the effect of hybridization.

Basicity of Organic Compounds increases with decreasing s character.

Therefore, the trend of basicity is as follows: sp³ > sp² > sp

Because in sp; the lone pairs are most stable, hence least basic

And in sp³; the lone pairs are least stable; hence most basic.

Therefore; From the diagram attached below:

Nitrogen 7  = 1     ---- Most Basic

Nitrogen 1 =  2    

Nitrogen 3 =  3    ------ Least Basic

Given:

The parent function is [tex]f(x)=x^2[/tex]

We need to determine the function g(x) created from the function f(x) by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units.

Shift left 9 units:

The rule to shift the graph c units to the left is given by

[tex]y=f(x+c)[/tex]

where c is the positive real number.

Hence, to shift the graph 9 units to the left is given by

[tex]f(x)=(x+9)^2[/tex]

Vertical stretch by a factor of 4:

The rule to stretch the graph vertically by a factor of c is given by

[tex]y=cf(x)[/tex]

where [tex]c>1[/tex]

Hence, to stretch the graph vertically by a factor of 4, we have;

[tex]f(x)=4(x+9)^2[/tex]

Shifting 5 units up:

The rule to shift the graph c units upward is given by

[tex]y=f(x)+c[/tex]

where c is the positive real number.

Hence, to shift the graph 5 units upward is given by

[tex]f(x)=4(x+9)^2+5[/tex]

Therefore, the function [tex]g(x)=4(x+9)^2+5[/tex] is created from the graph [tex]f(x)=x^2[/tex] by moving the graph left 9 units, vertically stretching it by a factor of 4 and shifting up 5 units.

Hence, the graph g(x) is [tex]g(x)=4(x+9)^2+5[/tex]

The function g(x) created from f(x) = x^2 by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units is g(x) = 4*(x+9)^2 + 5.

To generate the function g(x) from f(x) = x^2, you will perform several transformations on it:

So, after performing these transformations to f(x) = x^2, you get the function g(x) = 4*(x+9)^2 + 5.

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Answer:

32.55 cm  

Step-by-step explanation:

         Let x = the length of wire that becomes a circle.

Then 74 - x = the length of wire that becomes a square

Circumference of circle + perimeter of square = 74

1. Expression for the side of the square

P = 4s = 74 - x

s = ¼(74 - x)

2. Expression for the radius of the circle

C = 2πr = x

r = x/(2π)

3. Expression for the total area

[tex]\begin{array}{rcl}\text{Total area} & = &\text{area of circle+ area of square}\\A & = & \pi r^{2} + s^{2}\\& = &\pi \left(\dfrac{x}{2 \pi}\right)^{2} + \left (\dfrac{1}{4}(74 - x)\right)^{2}\\\\ & = & \dfrac{x^{2}}{4 \pi} + \dfrac{1}{16}(5476 - 148x + x^{2})\\\\ & = & 0.07958x^{2} + 342.25 - 9.25x + 0.0625x^{2}\\A & = & 0.1421x^{2} -9.25x + 342.25 \\ \end{array}[/tex]

This is the equation of a parabola.

In standard form,

ƒ(x) = 0.1421x² -9.25x + 342.24

a = 0.1421; b = -9.25; c = 342.24  

The parabola opens upwards, because a > 0. Therefore, the vertex is a minimum.

The vertex of a parabola occurs at

x = -b/(2a) = 9.25/(2 × 0.1421) = 9.25/(0.2842) = 32.55

The circumference of the circle is 32.55 cm.

The graph below shows that the area of the circle is a minimum when x = 32.55 cm

The difference in the number of their marbles is 28 Buah.

The ratio of Faiz's marbles to Bayu's marbles is given as 4:11. If the total number of marbles they have is 60, you can find the number of marbles each of them has.

Let x be the common multiplier for both parts of the ratio. Then, Faiz has  4x marbles, and Bayu has 11x marbles.

The total number of marbles is the sum of their marbles:

4x + 11x = 60

Combine like terms:

15x = 60

Divide by 15 to find x :

x = 4

Now, substitute x back into the expressions for Faiz and Bayu's marbles:

- Faiz's marbles: [tex]\( 4x = 4 \times 4 = 16 \)[/tex]

- Bayu's marbles: [tex]\( 11x = 11 \times 4 = 44 \)[/tex]

The difference in the number of their marbles is [tex]\( 44 - 16 = 28 \)[/tex].

So, the correct answer is: C. 28 Buah

Complete question:

Perbandingan kelereng Faiz dan Bayu 4:11. Their total color is 60. The best color of them is ...

16 pieces

24 pieces

28 pieces

44 pieces

Answer:

10π feet, or about 31.42 feet

Step-by-step explanation:

Diameter = 2 times radius, so the radius is 5 feet.

The question is asking us for the circumference - the distance around the circle. Plug our radius into the formula.

C = 2πr

C = 2π(5)

C = 10π feet = about 31.42 feet

Answer:

20 Pi feet or 62.8318530718 ft

Step-by-step explanation:

Find the circumference

Pi X diameter

radius = 1/2 diameter

radius *2 = 20

20 * Pi

Answer:

Zero

Step-by-step explanation:

There is no solution to this.

Answer:

$67

Step-by-step explanation:

There are 23 thousand clicks, so as it pays per thousand you need to divide $1 540 by 23, which results in 66.9.... reacurring which when rounded is (a) for $67.

Answer: 9 miles

Step-by-step explanation: 6 divided by 2 is 3 and 3 times 3 is 9.

Answer:

b 25

Step-by-step explanation:

Answer:

A)-5 if its without parenthasis around 5+ 3

Step-by-step explanation

2 minus 3 is -1 and -1 times 5 is -5

Answer: False

Step-by-step explanation: