9. Seven more than the quotient of a number b
and 45 is greater than 5.

The probability that all coins show heads up is 1/16.

The probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.

Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.

Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.

And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.

You can simplify this by calculating (1/2)^4.

= 1/16

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ1

Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?

The z-score corresponding to a car that weighs 2800 pounds is approximately -0.86.

We have,

We can find the z-score corresponding to a car that weighs 2800 pounds using the formula:

z = (x - μ) / σ

where x is the weight of the car, μ is the mean weight, and σ is the standard deviation.

Substituting the given values, we get:

z = (2800 - 3550) / 870

z = -0.86

Therefore,

The z-score corresponding to a car that weighs 2800 pounds is approximately -0.86.

Learn more about z-score here:

https://brainly.com/question/15016913

#SPJ1

Answer:

D

Step-by-step explanation:

So sorry for the late response I didn't even see this but it is D

rate of change is the same as slope and in the equation you can see the slope is 3 but in the table it is a little more tricky to find

we use the formula y2-y1/x2-x1 for this

7-2/4-3

5/1

5

so the slope or rate of change is 5

Answer:

The only choice showing the correct distribution of frequencies is c.

Step-by-step explanation:

Data Plots

Considering the provided data:

{11,15,8,2,7,10,9,12,11,8,12,3,14,8,2,9}

To produce a data plot, it's convenient to sort the data:

{2,2,3,7,8,8,8,9,9,10,11,11,12,12,14,15}

It's easier now to see the frequency of each data:

# :f

-----

2 :2

3 :1

7 :1

8 :3

9 :2

10:1

11:2

12:2

14:1

15:1

The only choice showing the correct distribution of frequencies is c.

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~`

You added no fraction so i thought you wanted the definition

Convert Fractions to Percents. Divide the top of the fraction by the bottom, multiply by 100 and add a "%" sign.

Hope this helped you. Brainliest wouldbe nice!

The y-intercept of the graph of the function g(n) represents the height of the flower.

We are given:

A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days.

g(n) = 10(1.02)^n

which is an exponential function.

We need to find what the y-intercept of the graph of the function g(n) represents.

We have the exponential function;

g(n) = 10(1.02)^n

where,

x-coordinate of the graph represents the number of days.

y-coordinate of the graph represents the height of the flower.

Thus, the y-intercept of the graph of the function g(n) represents the height of the flower.

To learn more about exponential function visit:

brainly.com/question/14355665

#SPJ1

The surface defined by the equation x^2 + y^2 + 8z^2 + 14x = -48 is :

an ellipsoid.

To see this, we can rearrange the equation to the standard form of an ellipsoid:

x^2 + 14x + y^2 + 8z^2 = -48

Completing the square for the x and y terms, we have:

(x^2 + 14x + 49) + y^2 + 8z^2 = -48 + 49

(x + 7)^2 + y^2 + 8z^2 = 1

Dividing both sides by the constant term, we get:

(x + 7)^2/1 + y^2/1 + 8z^2/1 = 1

This equation represents an ellipsoid centered at (-7, 0, 0) with semi-axes lengths of 1 in the x-direction, 1 in the y-direction, and √(1/8) in the z-direction.

Therefore, the surface defined by the equation is an ellipsoid.

To learn more about ellipsoid visit : https://brainly.com/question/16904744

#SPJ11

The distance between the given pair of parallel lines is approximately 3.99 units.

The given pair of parallel lines with equations y = -5/4x + 3.5 and 4y + 10.6 = -5x.

To find the distance between the given pair of parallel lines, we follow the steps given below:

We find the slope of the lines from their respective equations. y = -5/4x + 3.5

=> slope of the line is -5/4.4y + 10.6 = -5x => slope of the line is -5/4. So, the given pair of lines have the same slope.

We now find the perpendicular distance between the given pair of lines.

To do this, we first find the distance between the line y = -5/4x + 3.5 and the point (0,0).

This is given by the formula:d = |ax + by + c|/√(a² + b²), where a = -5/4, b = 1 and c = -3.5

So, substituting these values in the above formula, we getd1 = |(-5/4)0 + 1(0) - 3.5|/√((-5/4)² + 1²)d₁ = 7/4 √(41)

Next, we find the distance between the line 4y + 10.6 = -5x and the point (0,0).

This is given by the formula:d = |ax + by + c|/√(a² + b²)where a = -5, b = 4 and c = 10.6

So, substituting these values in the above formula, we get

d₂ = |-5(0) + 4(0) + 10.6|/√((-5)² + 4²)

d₂ = 53/41 √(41)

Therefore, the distance between the given pair of parallel lines is d = d₁ + d₂

d = (7/4 + 53/41) sqrt(41)

d = 3.99 units (approx)

Hence, the distance between the given pair of parallel lines is approximately 3.99 units.

To learn about parallel lines here:

https://brainly.com/question/30195834

#SPJ11

The subgroups are as follows: (a) (±a ±b; ±b ±a), (b)  (±a 3b; ±b a),  (c) group of all 2x2 upper triangular matrices with 1's on the diagonal, (d) (a b; 0 a⁻¹), (e) (a b; b a) and (f) (a b; -b a).

(a) The subgroup generated by (0 1; -1 0) is the group of all 2x2 matrices of the form (±a ±b; ±b ±a), where a and b are real numbers.

(b) The subgroup generated by (0 1/3; 3 0) is the group of all 2x2 matrices of the form (±a 3b; ±b a), where a and b are real numbers.

(c) The subgroup generated by (1 -1; 1 0) is the group of all 2x2 upper triangular matrices with 1's on the diagonal.

(d) The subgroup generated by (1 -1; 0 1) is the group of all 2x2 matrices of the form (a b; 0 a⁻¹), where a and b are nonzero real numbers.

(e) The subgroup generated by (1 -1; -1 0) is the group of all 2x2 matrices of the form (a b; b a), where a and b are real numbers.

(f) The subgroup generated by (√3/2 1/2; -1/2 √3/2) is the group of all 2x2 matrices of the form (a b; -b a), where a and b are real numbers.


To know more about upper triangular matrices, refer here:

https://brainly.com/question/24308718#

#SPJ11

Answer:

2) cos theta

Step-by-step explanation:

0 = theta

√(1- sin 0)(1+sin 0)

=√(1 - sin²0)

=√cos²0

= cos 0 => (cos theta)

Answer:

d. 9.95h + 5 < 125

Step-by-step explanation:

i hope this helps :)

The distance between ping's home to aris's home will be 1 street and 12th avenue.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

Ping house ⇒ 3rd street and 6th avenue

Ari's home ⇒  21st street and 18th avenue

So, the distance between them

21 - 3 = 18 street

18 - 6 = 12 avenue.

Hence "The distance between ping's home to aris's home will be 1 street and 12th avenue".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ4

Answer:The answer is the first one, angle JLK

Step-by-step explanation:

Angles in a triangle add to \(180^{\circ}\).

\(m\angle A+m\angle B+m\angle C=180^{\circ}\\\\9x+29+9-35x+10x+2=180\\\\40-16x=180\\\\-16x=140\\ \\ x=-35/4\\\\\implies m\angle A < 0\)

Therefore, the question is illogical.

The 11mm is the obtuse one and the two others are the acute ones.

Obtuse is a big angle and 11 is the biggest.

Step-by-step explanation:

The ratio of child tickets to adult tickets is 8 : 1.

It means for each adult ticket the number of child tickets is 8 times more.

On Saturday they sold 147 adult tickets, so the number of child tickets is:

The ratio adult : child, as per picture:

Total tickets sold, add up child and adult ticket numbers:

Ratio is 8:1

Total adult tickets=147

Total child tickets

Total tickets

According to the given function, which contains a square root, the domain must contain numbers that are greater than or equal to 5, otherwise, we would obtain the square root of a negative value, which is not real.

It means that the domain is

The range contains numbers greater than 0, this is because the minimum value of the domain is 5, when we evaluate the function at this value, the result is 0, which means that the range is:

The answer is the first option.

The area of the triangle formed by the given sides is 9√2 square units.

To find the area of the triangle, we first need to find the length of the third side, ~u - ~v.

~u - ~v = 〈3, 3, 3〉 - 〈6, 0, 6〉 = 〈-3, 3, -3〉

Next, we can use the formula for the area of a triangle given the lengths of its sides:

Area = 1/4 * √(4a²b² - (a² + b² - c²)²)

where a, b, and c are the lengths of the sides.

Using this formula with the lengths of the sides ~u, ~v, and ~u - ~v, we get:

a = ||~u|| = √(3² + 3² + 3²) = 3√3

b = ||~v|| = √(6² + 0² + 6²) = 6√2

c = ||~u - ~v|| = √((-3)² + 3² + (-3)²) = 3√2

Plugging these values into the formula, we get:

Area = 1/4 * √(4(3√3)²(6√2)² - (3√3)² - (6√2)² - (3√2)²)

= 9√2

To know more about area of the triangle, refer here:
https://brainly.com/question/29183952#
#SPJ11

Answer:

i think the area would be 16

Step-by-step explanation:

sorry if im wrong

Answer:

was only able to do #11

Step-by-step explanation:

Answer:

#12

Step-by-step explanation:

The function f(x) = 8 - x^3/8 is a polynomial function of degree 3.

To see why, note that a polynomial function is a function of the form f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0, where n is a non-negative integer and a_n, a_{n-1}, ..., a_1, a_0 are constants (coefficients). In this case, we have:

f(x) = 8 - x^3/8

= 8 - (1/8)x^3

= 0x^4 + 0x^3 + (-1/8)x^2 + 0x + 8

Thus, we can write f(x) as a polynomial function with degree 3, since the highest power of x that appears is x^3.

Learn more about polynomial function here:

https://brainly.com/question/12976257

#SPJ11

Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

For more such question on speed. visit :

https://brainly.com/question/26046491

#SPJ8

(a) The interval reported as "4.6 + 3.49 males (mean + SD)" is the 95% confidence interval because the statement is about the average number of mates. (b) The 95% confidence interval for the mean number of partners on a mating flight for queen honeybees is approximately 3.297 to 5.903.

(a) The interval reported as "4.6 + 3.49 males (mean + SD)" is the 95% confidence interval because the statement is about the average number of mates. It represents the range of values within which we can be 95% confident that the true population mean lies.

(b) To construct a 95% confidence interval for the mean number of partners on a mating flight for queen honeybees, we can use the given information. The sample mean is 4.6, and the sample standard deviation is 3.49. The sample size is n = 30.

We can calculate the confidence interval using the formula:

Confidence interval = sample mean ± (critical value * standard error)

The critical value corresponds to a 95% confidence level for a two-tailed test. For a sample size of 30, the critical value is approximately 2.045 (obtained from a t-distribution table).

The standard error can be calculated as the sample standard deviation divided by the square root of the sample size:

Standard error = sample standard deviation / √(sample size)

Plugging in the values:

Standard error = 3.49 / √(30) ≈ 0.637

Now we can calculate the confidence interval:

Confidence interval = 4.6 ± (2.045 * 0.637)

Confidence interval ≈ 4.6 ± 1.303

Lower bound = 4.6 - 1.303 ≈ 3.297

Upper bound = 4.6 + 1.303 ≈ 5.903

Therefore, the 95% confidence interval for the mean number of partners on a mating flight for queen honeybees is approximately 3.297 to 5.903.

To know more about confidence interval, refer to the link :

https://brainly.com/question/13067956#

#SPJ11

Complete question :

A paper describes a study of the mating behavior of queen honeybees. The following quote is from the paper. Queens flew for an average of 24.4 + 9.23 minutes on their mating flights, which is consistent with previous findings. On those flights, queens effectively mated with 4.6 + 3.49 males (mean + SD). i USE SALT

(a) The intervals reported in the quote from the paper were based on data from the mating flights of n = 30 queen honeybees. One of the two intervals reported is stated to be a confidence interval for a population mean. Which interval is this? Justify your choice. The interval, 4.6 + 3.49 males, is the 95% confidence interval because the statement is about the actual number of mates. The interval, 24.4 + 9.23 minutes, is the 95% confidence interval because the statement is about the average flight time. The interval, 4.6 3.49 males, is the 95% confidence interval because the statement is about the average number of mates. The interval, 24.4 + 9.23 minutes, is the 95% confidence interval because the statement is about the actual flight time.

(b) Use the given information to construct a 95% confidence interval for the mean number of partners on a mating flight for queen honeybees. For purposes of this exercise, assume that it is reasonable to consider these 30 queen honeybees as representative of the population of queen honeybees. (Round your answers to three decimal places.)

Step-by-step explanation:

First find h(10)

h(10)=2(10)-8

h(10)=12

Now plug in 12 as the value of x in g(x) ie.g(12)

So g(12)=√12-4=√8=2√2

Autumn's physiological response, characterized by her increased heart rate, sweaty hands, and flushed cheeks, indicates that her sympathetic nervous system has been activated.

Autumn's physiological response, such as an increased heart rate, sweaty hands, and flushed cheeks, is a typical manifestation of the fight-or-flight response, which is controlled by the sympathetic nervous system. In this situation, Autumn's body is reacting to a perceived threat or a stressful stimulus, which in this case is the presence of the boy she has a crush on.

When the sympathetic nervous system is activated, it triggers the release of stress hormones like adrenaline, which leads to various physiological changes in the body. These changes include increased heart rate, dilation of blood vessels, increased blood flow to the muscles, and sweating, all of which prepare the body for action in response to a perceived threat. This response is part of the body's automatic reaction to stressful or arousing situations and helps to mobilize the body's resources to deal with the perceived threat or challenge.

Learn more about sympathetic nervous here:

https://brainly.com/question/30151825

#SPJ11

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer: a

.

y

=

sec

x

Step-by-step explanation:

The cash price of the refrigerator is $408.

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Given that, a new refrigerator has a price of $480.00.

The store will discount the price by 15% if the purchaser pays in cash.

Now, the discount is

15% of 480

= 15/100 ×480

= 0.15×480

= 72

Now, 480-72

= $408

Therefore, the cash price of the refrigerator is $408.

To learn more about the discount visit:

brainly.com/question/3541148.

#SPJ1