how many favorable outcomes will there be for spinning the same color twice?

Given:

Height of a cone is 30cm, its slant height is 34 cm.

To find:

The radius of the cone.

Solution:

Using the Pythagoras theorem, the relation between Height, radius and slant height is

\(r^2+h^2=l^2\)

\(r^2=l^2-h^2\)

Where, r is radius, h is height and l is the slant height.

Putting the given values, we get

\(r^2=(34)^2-(30)^2\)

\(r^2=1156-900\)

\(r^2=256\)

Taking square root on both sides.

\(r=\pm\sqrt{256}\)

\(r=\pm 16\)

Radius cannot be negative. So, r=16 cm.

Therefore, the correct option is b.

Answer:

24/48 is the wer

Step-by-step explanation:

Answer:

the answer is

Step-by-step explanation:

\( \frac{6 }{ 12} = \frac{24}{n} \)

6*n=24*12

\(n = \frac{24 \times 12}{6} \)

n=48

The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592

(a) Mean The mean (or average) of a dataset is calculated by summing up all the values and dividing by the total number of values.

The formula for calculating the mean is: `mean = (sum of values) / (total number of values)`For the given dataset, we have:20, 50, 22, 14, 23, 10

Sum of values = 20 + 50 + 22 + 14 + 23 + 10 = 139

Total number of values = 6Therefore, the mean is given by: `mean = 139 / 6 = 23.17`Answer: 23.17 (rounded to two decimal places)

(b) Median To find the median, we need to arrange the dataset in increasing order:10, 14, 20, 22, 23, 50The median is the middle value of the dataset. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values. Here, we have 6 values, so the median is the average of the two middle values: `median = (20 + 22) / 2 = 21` Answer: 21(e)

Sample variance s²The sample variance is calculated by finding the mean of the squared differences between each value and the mean of the dataset.

The formula for calculating the sample variance is: `s² = ∑(x - mean)² / (n - 1)`where `∑` means "sum of", `x` is each individual value in the dataset, `mean` is the mean of the dataset, and `n` is the total number of values.For the given dataset, we have already calculated the mean to be 23.17.

Now, we need to calculate the squared differences between each value and the mean:

20 - 23.17 = -3.1722 - 23.17

= -1.170 - 23.17

= -13 - 23.17

= -9.1723 - 23.17

= -0.1710 - 23.17

= -13.17

The sum of the squared differences is given by:

∑(x - mean)² = (-3.17)² + (-1.17)² + (-13.17)² + (-9.17)² + (-0.17)² + (-13.17)²

= 867.7959

Therefore, the sample variance is given by: `s² = 867.7959 / (6 - 1) = 173.5592`Answer: 173.5592 (rounded to four decimal places)

The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592

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The expression which we differentiate the function 8 times  \(d^8/d^3\) is equivalent to \(d^5\).

Differentiation is a mathematical process of finding the derivative of a function. In other words, it is the process of calculating the rate at which a function is changing at a specific point.

To simplify this expression, we can use the property of differentiation known as the power rule, which states that the derivative of \(x^n\) with respect to x is \(nx^(n-1)\\\). Using this rule repeatedly, we can differentiate the function 8 times to get:

\(d^8/dx^8\) [f(x)] = \((d/dx)^8\)[f(x)]

And differentiating the function 3 times gives:

\(d^3/dx^3\) [f(x)] = \((d/dx)^3\) [f(x)]

So the original expression can be rewritten as:

\((d/dx)^8\) [f(x)] / \((d/dx)^3\) [f(x)]

To simplify this expression further, we can subtract the exponents in the denominator from the exponents in the numerator, giving:

\((d/dx)^(8-3)\) [f(x)]

Which simplifies to:

\((d/dx)^5\)[f(x)]

So the expression \(d^8/d^3\) is equivalent to \(d^5\).

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Answer:

800 + 150 = 950

Step-by-step explanation:

The answer is 950 because if you have $800 and your mom gives you $150 more. You will have a total of $950.

Answer:

800+150=950

Step-by-step explanation:

We have the following:

In this case, to know the value of the total expense, we must multiply the price of the fish by the amount of fish that he bought like this:

Therefore, the answer is the option C. 34.02

Answer:

The factor pairs are: 1,16   2*8  and 4*4

Step-by-step explanation:

Factor pairs are the pairs of numbers that multiply to 16

1*16 = 16

2*8=16

4*4 = 16

The factor pairs are: 1,16   2*8  and 4*4

Answer:

10. As the temperature increases the number of people increases.

Step-by-step explanation:

Because its better to go to a pool when its hot.

sry i dont know 11 :(

Answer:

10: The answer would be the first option, as the temperature increases the number of people increases

11. The answer would be the first option (18, 105)

Step-by-step explanation:

10. As you look at the chart you notice how we look further to the right the temperature increases. (found at bottom of graph) You can see on the far left it shows the amount of people who show up at the pool. With this being said, you can find the answer would be, the warmer it gets the more people show up.

11. Taking another look at the graph we can see there are a bunch of dots together and one away from them. That one would be the Outlier, or a data point away from the others. Looking at our answer options we see that (18,105) Is best fitting to the outlier because the bottom numbers go by 2's and the side go by 50's

I hope this explains how to read a chart better! <3

Answer:

Step-by-step explanation:

You want the area of a 16-unit circle using different values for pi.

The formula for the area of a circle is ...

  A = πr² . . . . . . where r is half the diameter

For the different values of pi, this will be (in square units) ...

  π(8²) = 64π . . . . exact

  3.14(8²) = 200.96 . . . . using 3.14 for π, slightly low

  22/7(8²) = 201 1/7 . . . . using 22/7 for π, slightly high

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The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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The shortest side of the triangle measures 17 feet.The second side of the triangle measures 20 feet.The third side of the triangle measures 31 feet.What is the length of the three sides?The perimeter of a triangle is the sum of the length of the three sides of the triangle. Let the shortest side be represented with s.The second side = 3 + s The third side = 2s - 3 2s - 3 + 3 + s + s = 68 4s = 68s = 17The second side = 17 + 3 = 20 The third side = = (2 x 17) - 3 = 31

Answer:

40%

Step-by-step explanation:

32 out of 80 as a percentage it is 40%

The efficiency of the system is approximately 54.5%. To calculate the efficiency of the system, we need to compare the actual number of students trained to the maximum capacity of the class.

In the given scenario, the maximum capacity per month is 1100 students, and the actual number of students trained in the past month is 600. Efficiency can be calculated by dividing the actual number of students trained by the maximum capacity and multiplying by 100 to express it as a percentage. Using the given values:

Efficiency = (Actual number of students trained / Maximum capacity) * 100

= (600 / 1100) * 100

≈ 54.5%. Therefore, the efficiency of the system is approximately 54.5%. This indicates that the class was utilized to around 54.5% of its maximum capacity in the past month.

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Answer:

(three eighths) * 64 =

twenty-four

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

☽------------❀-------------☾

Hi there!

~

Answer:

\(16 + 28 + -42\)

\(= 44 - 42\)

\(= 2\)

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

2

Step-by-step explanation:

This is the answer because:

1) First, we have to add 16 and 28 which is 44

16 + 28 = 44

2) Next, we have to add 44 and -42, which will be 2 because whenever we have to add or subtract integers, we are supposed to multiply the signs, and then we have to put the sign of the greater number. In this case, it would be:

44 + (-42) = 44 - 42 = 2

Hope this helps! :D

The total cost of the camera with sales tax included = $541.93

In this question, we have been given a camera has a listed price of $502.95 before tax.

If the sales tax rate is 7.75%, we need to find the total cost of the camera with sales tax included.

First we find the tax price.

7.75 percent of $502.95

502.95 × 7.75 / 100

= 38.98

The sales tax price is $38.98

The total cost of the camera would be,

$502.95 + $38.98 = $541.93

Therefore, the total cost of the camera with sales tax included = $541.93

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Answer:

x = 100

Step-by-step explanation:

This problem can be solved if you ignore line DC.

We know that angle FED + angle DEB = angle FEB = 100

Now, if you ignore line DC, you realize that FEB and AEG are vertical angles(opposite angles of 2 intersecting lines). This means that FEB is actually congruent to AEG.

So therefore:

x = AEG = FEB = 100

Answer:

GCF of 3 and 6 is 3.

LCM of 3 and 6 is 6.

Step-by-step explanation:

Step-by-step explanation:

1) solution

Hypotenous(h)=?

perpendicular(p)=16

base(b)=12

By using formula

h^2 = p^2 + b^2

h^2 = 16^2 + 12^2

h^2 = 256 + 144

h^2 = 400

h^2 = 20^2

h = 20

therefore hypotenous (h) is 20

2) solution

hypotenous = (?)

perpendicular=(77)

base=(36)

by using formula

h^2 =p^2 + b^2

h^2=77^2+ 36^2

h^2=5929+1296

h^2=7225

h^2=85^2

h=85

therefore hypotenous (h) is 85

Answer:

-205/69

Step-by-step explanation:

-41/3÷23/5

reciprocate, then the sign changes

-41/3×5/23

=-205/69

Answer:

UT=27

ST=18

RV=15

US=15

Step-by-step explanation:

If the entirety of RT is 30, then you'd divide that by 2 to receive the number for both RV and VT. 30 divided by 2 is 15.

Because RVS and UVT are vertical, they are both 27. Similarly, RVU and SVT are vertical to each other, so SVT is the same as RVU which is 18.

Hope this helps.

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's find the Radius ~

\(\qquad \sf  \dashrightarrow \: area = \frac{ \theta}{360} \times \pi {r}^{2} \)

\(\qquad \sf  \dashrightarrow \: 80= \frac{ 72}{360} \times \pi {r}^{2} \)

\(\qquad \sf  \dashrightarrow \: {r}^{2} = \frac{80 \times 360}{72 \times \pi} \)

\(\qquad \sf  \dashrightarrow \: {r}^{2} = \frac{80 \times 5}{ \pi} \)

\(\qquad \sf  \dashrightarrow \: {r}^{} = \sqrt\frac{400}{ \pi} \)

\(\qquad \sf  \dashrightarrow \:r = \frac{20}{ \sqrt{\pi} } \)

or

\(\qquad \sf  \dashrightarrow \:r \approx 11.28 \: ft\)

I hope you understood the whole procedure, let me know if you have doubts ~

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Step-by-step explanation:

Lets find the slope of the line first so we can write the equation.

Counting the slope, we can see the slope of the line is \(\frac{3}{1}\) or 3, so we have to write the equation of the line in slope intercept form \(y=mx+b\) where m is the slope and b is the y intercept.

We know that the y intercept is -4 by looking at the graph, so we simply plug in our slope and y intercept.

\(y=3x-4\)

To tell if equations are parallel or perpendicular:

Parallel:  The slope is the same

Perpendicular: The slope is the opposite reciprocal

Lets look at the equations and see if there parallel:

1. \(y=-3x+10\) is neither.

2. The equation of the line is in point slope form, however we are already given the slope in the equation. The slope is \(-\frac{1}{3}\), which is the opposite reciprocal of 3, therefore it is perpendicular.

3. \(\frac{1}{3}\) is not the opposite reciprocal of 3, it is neither.

4. The equation of the line is in standard form, which means we must solve for y to get it in slope intercept form

\(-3x+y=1\)
Subtract -3x on both sides

\(y=1-(-3x)\)

Simplify

\(y=3x+1\)

The equation has the same slope, so it is parallel.

The point D is located in quadrant iii. Here we have (-, -)

A Gaussian random variable X has mean μ=1 and variance σ2=4.  Therefore, the probability P[X ≤ 2] can be expressed in terms of the Gaussian Q-function as Q[0.5].

A Gaussian random variable X with mean μ = 1 and variance σ² = 4. We are asked to express the following probabilities in terms of the Gaussian Q-function.(a) P[1 - 2]

We know that P[1 - 2] is the probability that the random variable X is less than 2 standard deviations below the mean. Since the mean is μ = 1 and the standard deviation is σ = 2, we can express this probability as follows: P[1 - 2] = P[X < μ - 2σ] = P[X < 1 - 4] = P[X < -3]

This probability cannot be expressed in terms of the Gaussian Q-function because the Q-function is only defined for non-negative arguments. Thus, we cannot use the Q-function to calculate P[1 - 2].(c) P[X ≤ 2]

We want to find the probability that the random variable X is less than or equal to 2. We can express this probability as follows: P[X ≤ 2] = Q[(2 - μ) / σ] = Q[(2 - 1) / 2] = Q[0.5]

Therefore, the probability P[X ≤ 2] can be expressed in terms of the Gaussian Q-function as Q[0.5].

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Answer:

113

Step-by-step explanation:

note: to find the circumference of a circle using the radius, you use this equation -- 2\(\pi\)r. since the radius is 18, you make the equation 2\(\pi\)18. that gets you 36\(\pi\), which, if put into the calculator, is about 113.