The volume of the right cone below is 5677 units³. Find the value of x.​

If the measure of the arc of the circle is 10 cm. Then the measure of the length of the radius will be 6.51 cm.

Consider an arc of a circle.

Suppose it subtends θ angle on the rest of the part of the circumference (at any point). Then it subtends a 2θ angle on the center of that circle.

we know the formula

Are = θ/360 x 2πr

The center of the circle below is at P. If the central angle ∠APB measures 88° and the length of arc AB = 10 cm.

Then we have

    10 = 88 / 360 x 2πr

40.91 = 2πr

       r = 6.51 cm

Learn more about angle subtended by arc here:

https://brainly.com/question/12058177

#SPJ1

A line is the shortest distance between two points. The value of x from the given parameters is 3

A line is defined as the shortest distance between two points. Given the following parameters

TU = 1 - x,

UB = 4x + 17,

TB = -3x

According to the addition postulate;

TU + UB = TB

Substitute the given parameters to have:

1 - x + 4x + 17 = -3x

Collect the like terms to have:

1+3x+17 = -3x

3x+3x = -1-17

Simplify

6x = -18

Divide both sides by 6

6x/6 = -18/6

x = -18/6

x = -3

Hence the value of x from the given parameters is 3

learn more on addition postulate here: https://brainly.com/question/2134445

#SPJ1

There is a 0.32 probability that a resident will be too tall to enter the tent without bowing their head.

Based on the empirical rule, approximately 68% of the residents will have heights within one standard deviation (4.2 inches) of the mean (67.8 inches).

Therefore, the probability of a resident being too tall to enter the tent without bowing their head is approximately 32% (100% - 68%).

To express this probability as a decimal to the hundredths place, the answer is 0.32.

In conclusion, there is a 0.32 probability that a resident will be too tall to enter the tent without bowing their head.

To know more about probability visit:

brainly.com/question/31828911

#SPJ11

Answer:

zero

Step-by-step explanation:

The value of a any horizontal line is zero.

Answer:

The answers are:

Zero.

+

All Y values are the same.

Step-by-step explanation:

I got it right on Edge!

Step-by-step explanation:

1. 3(x-2)=4

2. 3x-6=4

3x=10

4.x=10/3

Answer:

l=700.4 cm

Step-by-step explanation:

Answer:

x=5,4

Step-by-step explanation:

as u got 2 x to find the value of

Answer

A

Step-by-step explanation:

Answer:

15.1

Step-by-step explanation:

tan(angle) = opposite/adjacent

tan 37 = AB/20

AB = 20 x tan 37 = 20 x 0.754 = 15.08 or 15.1

The binomial probability formula is used to calculate the probability of a specific number of successes in a fixed number of independent trials, where each trial can only result in success or failure. It is used to model situations where there are only two possible outcomes for each trial, and where the trials are independent and identically distributed.

The formula for binomial probability is:

\(P(x) = (n choose x) * p^x * (1 - p)^{n-x}\\\)

where P(x) is the probability of x successes in n trials, p is the probability of success on each trial, (n choose x) is the binomial coefficient which gives the number of ways to choose x successes from n trials, and (1 - p) is the probability of failure on each trial.

The binomial probability formula can be used in a variety of applications, such as:

For more questions on Binomial Probability

https://brainly.com/question/9325204

#SPJ4

Answer:

Hey!

Your answer is Y= -2x + 9!!

Step-by-step explanation:

hope this helps!!

Answer:

yo !

the answer is

y = -2x +9

Step-by-step explanation:

hopr this helps

On the interval [0, 2π], the minimum values of f(x) = 12cos^2(x) - 1 are -1, and the maximum values are 11.

To find the minimum and maximum values of the function f(x) = 12cos^2(x) - 1 on the interval [0, 2π], we need to determine the critical points and endpoints within that interval.

First, let's differentiate the function f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -24cos(x)sin(x).

Next, we set f'(x) equal to zero and solve for x:

-24cos(x)sin(x) = 0

This equation is satisfied when cos(x) = 0 or sin(x) = 0.

For cos(x) = 0, we have x = π/2 and x = 3π/2 as critical points.

For sin(x) = 0, we have x = 0 and x = π as critical points.

Now, we evaluate the function f(x) at these critical points and the endpoints of the interval [0, 2π]:

f(0) = 12cos^2(0) - 1 = 11

f(π/2) = 12cos^2(π/2) - 1 = -1

f(π) = 12cos^2(π) - 1 = 11

f(3π/2) = 12cos^2(3π/2) - 1 = -1

f(2π) = 12cos^2(2π) - 1 = 11

From the evaluations, we see that the minimum values of f(x) are -1, occurring at x = π/2 and x = 3π/2, while the maximum values are 11, occurring at x = 0, x = π, and x = 2π.

For more such questsion on interval visit:

https://brainly.com/question/30460486

#SPJ8

Answer:

Step-by-step explanation:

ok first sub to ,my yt

1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.

A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.

2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.

It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).

3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.

If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.

Learn more about hypothesis from:

https://brainly.com/question/26185548

#SPJ11

An orthographic drawing represents a three dimensional figure with three separate views as the top view, front view and right side view. Therefore, it's true.

It should be noted that the segment that will be congruent to segment KM is LN. Congruence illustrates that they're identical.

The measure of the vertical angles are given. The value of x will be:

8x - 6 = 4x + 10

8x - 4x = 10 + 6

4x = 16

x = 16/4

x = 4

Therefore x is 4.

Learn more about drawing in:

brainly.com/question/1578444

#SPJ1

Given a metal rod of length 31 cm placed in a magnetic field of strength 2.3 T, oriented perpendicular to the field, you need to consider the following:

1. The metal rod is 31 cm in length.
2. The magnetic field strength is 2.3 T (tesla).
3. The rod is positioned perpendicular to the magnetic field, which means that the angle between the rod and the magnetic field is 90 degrees.

In this scenario, the rod is placed in such a way that it experiences the full effect of the magnetic field due to its perpendicular orientation.

When a metal rod of length 31 cm is placed in a magnetic field of strength 2.3 T, oriented perpendicular to the field, it will experience a force. The force on the rod will be given by the formula F = BIL, where B is the magnetic field strength, I is the current flowing through the rod, and L is the length of the rod.

Since the rod is not connected to a circuit, there is no current flowing through it. Therefore, the force on the rod will be zero. However, if a current is passed through the rod, it will experience a force perpendicular to both the magnetic field and the direction of the current flow. The magnitude of the force will depend on the strength of the magnetic field, the current flowing through the rod, and the length of the rod.

Learn more about :

magnetic field : brainly.com/question/11514007

#SPJ11

Answer:

hey what up

Step-by-step explanation:

Answer:

ff

Step-by-step explanation:

fff

The method that could be used instead of cross multiplication to solve the equation *3-3x+5 is distributing x + 3 and then 3x + 5 to both sides of the equation.

Instead of using cross multiplication, one alternative method to solve the equation *3-3x+5 is to distribute x + 3 and then 3x + 5 to both sides of the equation.

To explain this method, let's consider the equation step by step:

Original equation: *3-3x+5

Cross multiplication: 5(x+3) = 2(3x+5)

Distributive property: 5x + 15 = 6x + 10

Subtraction property of equality: 5x - 6x = 10 - 15

Simplification: -x = -5

Multiplication property of equality: (-1)(-x) = (-1)(-5)

Simplification: x = 5

Now, instead of cross multiplication, we can distribute x + 3 and then 3x + 5 to both sides of the equation:

Original equation: *3-3x+5

Distributive property: 5(x + 3) = 2(3x + 5)

Expanding the expressions inside the parentheses:

5x + 15 = 6x + 10

Now we can proceed with solving the equation as before:

Subtraction property of equality: 5x - 6x = 10 - 15

Simplification: -x = -5

Multiplication property of equality: (-1)(-x) = (-1)(-5)

Simplification: x = 5

By distributing x + 3 and 3x + 5 to both sides of the equation, we obtain the same result as the original method. This alternative method is another way to solve the equation without using cross multiplication.

For more such questions on cross multiplication , Visit:

https://brainly.com/question/19286691

#SPJ11

Given that the pitcher throws the baseball 60 feet from the pitcher's mound to home plate, and the ball comes down 24 feet from home plate, we can determine that the ball lands somewhere between these two points.

The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. In this scenario, we can consider the pitcher's mound, the landing point of the ball, and home plate as the three vertices of a triangle.

Let's assume the distance from the pitcher's mound to the landing point is 'x', and the distance from the landing point to home plate is 'y'. According to the triangle inequality theorem, we have:

x + y > 60 (distance from pitcher's mound to home plate)

Additionally, we know that the distance from the pitcher's mound to the landing point is:

x < 60 (distance cannot be greater than the distance from the pitcher's mound to home plate)

Combining these two inequalities, we have:

x < 60

x + y > 60

These inequalities describe the valid range of distances for the ball landing point. The shortest possible distance would be when the ball lands directly at home plate (x = 0, y = 60), and the longest possible distance would be when the ball lands at the pitcher's mound (x = 60, y = 0).

Therefore, using the triangle inequality theorem, we can determine all possible distances for where the ball could land between the shortest and longest distances.

Learn more about triangle inequality theorem here: brainly.com/question/30956177

#SPJ11

Answer:

240 min

Step-by-step explanation:

11-7=4

4*60=240

Answer:

86

Step-by-step explanation:

The probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow is 47/128.

To calculate the probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow, we can use the binomial probability formula. The binomial probability formula is given by:

P(X ≥ k) = 1 - P(X < k) = 1 - ∑(i=k-1)^(n) [C(n, i) * p^i * (1-p)^(n-i)]

Where:

P(X ≥ k) is the probability that X is greater than or equal to k

P(X < k) is the probability that X is less than k

n is the number of trials (number of babies in the cluster) = 5

p is the probability of success (probability that a baby speaks) = 1/4

k is the number of successes we are interested in (at least 2 babies speaking)

Let's calculate the probability using this formula:

P(X ≥ 2) = 1 - P(X < 2) = 1 - [P(X = 0) + P(X = 1)]

P(X = 0) = C(5, 0) * (1/4)^0 * (3/4)^(5-0) = 1 * 1 * (3/4)^5 = 243/1024

P(X = 1) = C(5, 1) * (1/4)^1 * (3/4)^(5-1) = 5 * (1/4) * (3/4)^4 = 405/1024

P(X ≥ 2) = 1 - (243/1024 + 405/1024) = 376/1024 = 47/128

To learn more about probability

https://brainly.com/question/30390037

#SPJ11

Answer:

y = 8·√3

Step-by-step explanation:

From the drawing of the right triangle, we have;

The length of the opposite leg to the given 60° (reference) angle = 12

The length of the adjacent leg to given 60° (reference) angle = x

The length of the hypotenuse side = y

By trigonometric ratios, we have;

\(sin(Reference \, Angle) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}\)

Therefore, we have;

\(sin(60^\circ) = \dfrac{12}{y}\)

From the value of sin(60°), we have;

\(sin(60^\circ) = \dfrac{\sqrt{3} }{2}\)

\(\therefore y= \dfrac{12}{sin(60^\circ) } = \dfrac{12}{\dfrac{\sqrt{3} }{2} } = \dfrac{2 \times 12 \times \sqrt{3} }{{{3} } } = \dfrac{24 \times \sqrt{3} }{{{3} } } = 8 \cdot \sqrt{3}\)

y = 8·√3

\(\left(x= \dfrac{12}{tan(60^\circ) } = \dfrac{12}{{\sqrt{3} } } = 4\cdot \sqrt{3} \right)\)

Answer:

Explanation:

An exponential decay function is generally given in the below;

where a = initial amount

r = percentage rate of decrease in decimal

t = number of years

Given the initial value of the book(a) as $57 and the percent decrease(r) as 12% which as a decimal is 0.12 (12/100), let's go ahead and substitute these values into the above formula and we'll have;

When t = 8, let's go ahead and solve for y;

The surface area of the prism formed by the net is 538 square feet².

The area occupied by the surfaces of an object is called its surface area. In geometry, different 3D shapes have different surface areas which can be easily calculated using the formula:

\(\boxed{\bold{\sf SA= 2 \times(lw + wh + lh)}}\)

Let,

So,

\(\sf SA= 2\times(45+80+144)\)

\(\sf SA =2\times269\)

\(\sf SA =\bold{538 \ square \ feet^2}\)

Thus, the surface area of the prism formed by the net is 538 square feet².

Learn more about surface area at:

https://brainly.com/question/30816589

The expression can be used for much longer Liz's boot prints are than her feet is 9/12 - 8/12.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given that,

Liz makes footprints in the snow with her boots that are 3/4 and 2/3

To determine expression can be used to much longer Liz's boot prints are than her feet

The difference between 3/4 and 2/3 as :

⇒ 3/4 - 2/3

Dividing and multiplying by 12 in the above expression,

⇒ 3/4 - 2/3

⇒ (3/4 - 2/3)12/12

⇒ 3*3/12 - 2*4/12

⇒ 9/12 - 8/12

Learn more about Expressions here:

brainly.com/question/13947055

#SPJ1

Answer:

100 + 6.98 = 106.98
81,636 x 106.98 / 100

= 87,334. 19

Step-by-step explanation:

The mapping of the function q[r(5)] is equal to -47 r[q(5)] is equal to -70

A function is a rule that defines a relationship between one variable. It is the mapping whose codomain is the set of real numbers.

By mapping the functions q and r defined as;

q : x » x + 1 and r : x » -2x² + 2

then;

r(5) = -2(5)² + 2 {substitute the value 5 for x in the function r}

r(5) = -2 × 25 + 2

r(5) = -50 + 2

r(5) = -48

q[r(5)] = -48 + 1 {substitute the value -48 for x in the function q}

q[r(5)] = -47

q(5) = 5 + 1 {substitute the value 5 for x in the function q}

q(5) = 6

r[q(5)] = -2(6)² + 2 {substitute the value 6 for x in the function r}

r[q(5)] = -2 × 36 + 2

r[q(5)] = -72 + 2

r[q(5)] = -70

Hence, with proper mapping of the defined functions of q and r, the correct value for q[r(5)] is -47 and r[q(5)] is -70

Know more about functions here: https://brainly.com/question/6561461

#SPJ1

Answer:

\(p=\frac{1}{8}\)

Step-by-step explanation:

\(-3p+\frac{1}{8}=-\frac{1}{4}\)

Subtract \(\frac{1}{8}\) from both sides:

\(-3p=-\frac{1}{4}-\frac{1}{8}\)

Multiply \(\frac{1}{4}\) by \(\frac{2}{2}\) and simplify:

\(-3p=-\frac{3}{8}\)

Divide both sides by -3:

\(p=\frac{3}{24}\)

Simplify:

\(p=\frac{1}{8}\)

Box B has the smaller range of masses, with a range of 49 grams, compared to Box A's range of 97,649 grams.

The question asks which of the boxes has the smaller range of masses and what is the value of this range in grams (g).
To find the range, we need to subtract the smallest value from the largest value in each box.
In Box A, the smallest value is 4 and the largest value is 97653. So, the range in Box A is 97653 - 4 = 97649 g.
In Box B, the smallest value is 2 and the largest value is 8762. However, we are given that key 35 represents a mass of 53 g and key 51 represents a mass of 51 g. So, the actual largest value in Box B is 51. Therefore, the range in Box B is 51 - 2 = 49 g.
Comparing the ranges, we can see that the range in Box B (49 g) is smaller than the range in Box A (97649 g).

For more such questions Box,Click on

https://brainly.com/question/28344846

#SPJ8