If it could be explained, that would help alot

The correct answer is:   " \(\frac{33,611}{1,000}\) " .

____________________

Step-by-step explanation:

Based on the assumption that the "1" repeats infinitely; in the given value:

  " 33.61111111 ...." ;

_______

Note that the "611" ; after the decimal point;  this goes to the "thousandths";  

place (is "3 (three) digits long.").

_______

As such; we rewrite the number as:

_______

" \(\frac{33.611}{1}\) " ;  

and we multiply BOTH the "numerator" And the "denominator" by: "1000" :

_______

  →  " \(\frac{(33.611)*(1000)}{(1)*(1000)}\) " ;

to get:

  →  " \(\frac{33611}{1000}\) " ;  →  which cannot be reduced any further.

_______

The correct answer is: " \(\frac{33,611}{1,000}\) " .

_______

Hope this is helpful to you!

 Wishing you the best!

_______

Answer:

D) 0.73

Step-by-step explanation:

If we take the number of people liking cheese on their salad and divide it by the people who like both we get our result.

36%/49%

=

.36/.49

=

.73 or D

The conditional probability that the person also likes tomatoes on their salad is of 0.73.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

In this problem, the events are given as follows:

Hence, the probabilities are given by:

\(P(A) = 0.49, P(A \cap B) = 0.36\).

The conditional probability is given by:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.36}{0.49} = 0.73\)

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Assuming that the shape of the atmosphere remains a SPHERE,

all we need to do to solve this problem is calculate the volume of a sphere/ball.

The formula to do so is ...

V = \(\frac{4}{3}\pi r^{3}\)

But what is "r" in the equation?

*Remember that "r" is HALF of the diameter

The diameter of this specific hemisphere is 41.6, so the radius would be ...

41.6 ÷ 2 = 20.8

Now let's plug this value into our equation and solve!

V = \(\frac{4}{3}\pi 20.8^{3}\)

V = 37,694.6

I hope I helped! Comment below if you have any questions or concerns about my answer and process!

-From: Gabby5792

If the actual tower is 125 meters wide, then the height will be approximately 325m

The ratio of the similar sides of the shape is equal to a constant.

If an Eiffel Tower mural is 2 meters high and 0.77 meters wide the  actual tower is 125 meters wide, then the new height will be expressed as;
2/0.77 = H/125

Cross multiply

0.77H = 2 * 125
0.77H = 250
H = 250/0.77
H = 325m

This means that if the actual tower is 125 meters wide, then the height will be approximately 325m

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The probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.

Given that, at a wedding each guest asked the 80 guests whether they were a friend of the bride or of the groom.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Total Number of Guests which forms the Sample Space, n(S)=80

Let the event (a friend of the bride) =A

Let the event (a friend of the groom) =B

n(A) =59

n(B)=50

Friends of both bride and groom,

So,

n(A∪B)=n(A)+n(B)-n(A∩B)

n(A∪B)=59+50-30

n(A∪B)=79

The number of Guests who was a friend of the bride OR of the groom = 79

Thus,

P(A∪B)=n(A∩B)/n(S)

= 79/80

= 0.9875

Hence, the probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.

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Answer:

620. 0.25 x 620 = 155

Answer:

48 meters

Step-by-step explanation:

the perimeter is 48 meters

The y-intercept of the line representing the frozen yogurt shop situation is 4.00.

The equation that represents the frozen yogurt shop situation is y= 4.00 + 0.25x, where y is the price of the yogurt with toppings and x is the number of toppings. The y-intercept of this equation is the point at which the line crosses the y-axis. This is when x = 0, so the y-intercept is y = 4.00.

To calculate the y-intercept, we substitute 0 for x in the equation y= 4.00 + 0.25x.

y= 4.00 + 0.25(0)

y= 4.00

Therefore, the y-intercept of the line representing the frozen yogurt shop situation is 4.00.

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The number of M&M's that were in the bowl before Amelia arrived is; 12

Let the original amount in the bowl be x. Thus;

If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x

Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x

Now, we are told that there were finally 3 left after all the deductions. Thus;

0.25x = 3

x = 3/0.25

x = 12

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Answer:

Step-by-step explanation:

a) \(5y+ab\)

b) \(f^{3} -3\\\)

c) \(6kq\)

d) \(\frac{3xy}{2w} \\\\\)

e) \(3x-4\sqrt{z} \\\)

f) \(\frac{2p}{5q} \\\\\)

\(a) 5y+ab5y+ab

b) \begin{gathered}f^{3} -3\\\end{gathered}

f

3

−3

c) 6kq6kq

d) \begin{gathered}\frac{3xy}{2w} \\\\\end{gathered}

2w

3xy

e) \begin{gathered}3x-4\sqrt{z} \\\end{gathered}

3x−4

z

f) \begin{gathered}\frac{2p}{5q} \\\\\end{gathered}

5q

2p

\)

If z ⁷ = 128i, then there are 7 complex numbers z that satisfy this equation.

\(z^7 = 128i = 2^7i = 2^7e^{i\frac\pi2}\)

\(\implies z=\sqrt[7]{2^7} e^{i\frac17\left(\frac\pi2+2n\pi\right)}\)

(where n = 0, 1, 2, …, 6)

\(\implies z = 2 e^{i\left(\frac\pi{14}+\frac{2n\pi}7\right)}\)

\(\displaystyle\implies z = 2 \left(\cos\left(\frac\pi{14}+\frac{2n\pi}7\right)+i\sin\left(\frac\pi{14}+\frac{2n\pi}7\right)\right)\)

Answer:

Step-by-step explanation:

Quadratic equations are commonly used in situations where two things are multiplied together and they both depend on the same variable. For example, when working with area, if both dimensions are written in terms of the same variable, you use a quadratic equation.

To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.

Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.

f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)

= 1 - 5√(9 - x) / √(9 - x)

= 1 - 5 / √(9 - x).

To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.

Setting f'(x) = 0:

1 - 5 / √(9 - x) = 0

5 / √(9 - x) = 1

(√(9 - x))^2 = 5^2

9 - x = 25

x = 9 - 25

x = -16.

The critical point is x = -16.

We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.

Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).

For x < -16:

Plugging in a test value, let's say x = -17, into the derivative:

f'(-17) = 1 - 5 / √(9 - (-17))

= 1 - 5 / √(9 + 17)

= 1 - 5 / √26

≈ 1 - 0.97

≈ 0.03.

Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).

For -16 < x < 9:

Plugging in a test value, let's say x = 0, into the derivative:

f'(0) = 1 - 5 / √(9 - 0)

= 1 - 5 / √9

= 1 - 5 / 3

≈ 1 - 1.67

≈ -0.67.

Since f'(0) is negative, the function is decreasing in the interval (-16, 9).

For x > 9:

Plugging in a test value, let's say x = 10, into the derivative:

f'(10) = 1 - 5 / √(9 - 10)

= 1 - 5 / √(-1)

= 1 - 5i,

where i is the imaginary unit.

Since the derivative is not a real number for x > 9, we cannot determine the sign.

Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

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9514 1404 393

Answer:

  22

Step-by-step explanation:

For calculators without a cube root key, you can use the 1/3 power. The attached shows the quotient to be about 22.

Answer:

-1

Step-by-step explanation:

\(|3d-3n|-4\)

Once we have an absolute value, we know that

\(|3d-3n| \geq 0\)

\(\text{For }n=2 \text{ and } d=3\)

\(|3(3)-3(2)|-4\)

\(|9-6|-4\)

\(|3|-4\)

\(3-4\)

\(-1\)

The standard deviation for the distribution will be S=10767.42

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values.

The formula for the calculation of standard deviation will be given by

\(S=\sqrt{\dfrac{\sum(x-\mu)}{n-1}\)

Here S is standard deviation \(\mu\) is mean and n is number of the data points.

Mean will be calculated as

\(\mu=\dfrac{12000+10000+8000+6000+4000+2000}{8}=\dfrac{42000}{8}=5250\)

Now we will calculate standard deviation from the formula

\(S=\sqrt{\dfrac{\sum(x-\mu)}{n-1}\)

By putting all the values we will get

\(S=\sqrt{115937500}\)

S=10767.42

Hence the standard deviation for the distribution will be S=10767.42

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Answer:

127.50

Step-by-step explanation:

Answer:

127.50

Step-by-step explanation:

Answer:

$3040 profit made

Step-by-step explanation:

$13×95=$1235 cost to make all the shoes they sold

$45×95=$4275 money she made

$4275-$1235=$3040 profit

Answer:

b has more closer to 0 on number line

Step-by-step explanation:

-2 is closer than-5=B wins

-3 is closer to 0 than 6=A wins

-5 is closer to 0 than 7 is=B wins

And 4 is closer to 0 than 8 so= B wins

Hope it helps have a great day:)

Answer:

x=1 must satisfy both equations.

Step-by-step explanation:

1)Y=X+4

2)Y=3X+2

IT Means x+4=3x+2

3x-x=4-2;

2x=2 ;  x=1 must satisfy both equations

Answer:

43.301

Step-by-step explanation:

Answer:

  left to right, we have t/u < r/s < p/q.

Step-by-step explanation:

The properties of ordering tell you ...

 if a > b and b > c, then a > c

Here, we have a = p/q, b = r/s, c = t/u. The same property still applies:

  if p/q > r/s and r/s > t/u, then p/q > t/u

__

On a number line, the largest value is on the right:

  p/q is right of r/s

  r/s is right of t/u

therefore, ...

 p/q is right of t/u

Answer:

4 1/2

Step-by-step explanation:

If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.

JH * HK = GH * HI

3 * (2x+1) = 2 ( x+5)

Distribute

6x+3 = 2x+10

Subtract 2x from each side.

6x-2x+3 = 2x-2x+10

4x+3 = 10

Subtract 3 from each side.

4x = 10-3

4x= 7

Divide by 4.

x = 7/4

Now find HK.

HK = 2x+1

     = 2(7/4)+1

     = 7/2+1

     = 9/2

    = 4 1/2

Answer:

x=67

Step-by-step explanation:

Two ways to solve it:

1st way: Just looking at it, x is definitely not 180° because it’s to big of an angle, it is definitely not 113° because it’s still to big of an angle, and it’s also not 90° because it doesn’t form a right angle. So it must be 67°.

2nd way: Since two angles in a straight line add up to 180°, you can subtract 113° from 180° to find what x is. You can tell that 180° - 113° is equal to 67°

So either way, the answer is: x=67

Hope this helped! :)

The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.

Let's see how to calculate Mean, Median, Mode and Midrange.

Mean = 13 + 15 + 18 + 18 + 21 / 5

Mean = 85 / 5

Mean = 17

Median = 18 (as it is the middle term of the data)

Mode = 18 (as it is most recurring number)

Midrange = 21 + 13 / 2

Midrange = 34 / 2

Midrange = 17

Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

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Step-by-step explanation:

we can not help you . you don't have the problem.

Answer:

no problem can be seen by the image

Step-by-step explanation:

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x