Look at the following sequence.


54, 36, 24, 16, . . .


If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose “not geometric.”

The minimum target heart rate for a person 20 years old is 120 beats per minute

The equation of the function is given as:

y = -0.6x + 132

Where x represents the age, and y represents the minimum target heart rate

From the question, we have:

x = 20

Substitute x = 20 in y = -0.6x + 132

This gives

y = -0.6 *20 + 132

Evaluate

y = 120

Hence, the minimum target heart rate for a person 20 years old is 120 beats per minute

Read more about functions at:

https://brainly.com/question/4025726

#SPJ1

Answer:

Answer is 120 !!

Step-by-step explanation:

~Hope this helps! :)

Using it's concept, it is found that the desired probability is given by:

P(Take the bus | Junior) = 0.5714 = 57.14%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of the 13 + 20 + 2 = 35 Junior students, 20 take the bus, hence the probability is given by:

P(Take the bus | Junior) = 20/35 = 0.5714 = 57.14%.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

x = -2

Step-by-step explanation:

[tex]2x(x-5)-x(3+2x) = 26\\2x^{2} -10x-3x-2x^{2} = 26\\-13x=26\\x=\frac{26}{-13} \\=-2[/tex]

Its basically the order of operations, from left to right , evaluate brackets (if possible), then multiplication or division, lastly followed by addition or subtraction.

2x2-10x-3x-2x2=26

Eliminam opusele

reducem termenii

-13x=26

imparte ambele parti

x=-2

Step-by-step explanation:

Answer: 6 children

Step-by-step explanation:

Given:

Children - 24

Groups - 4

Number of children per group - x

Solve:

24 ÷ 4 = x

x = 6

Hope it helps!!! Please mark as brainliest. Thanks :D

Answer:

see the attachment photo!

just comment here if you need help

The best description about the line AD is,

⇒ Perpendicular bisector

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC is shown in figure.

Now, We have by figure;

BD = 17

DC = 17

Hence, We can say that;

Line AD is Perpendicular bisector of line BC.

Thus, The best description about the line AD is,

⇒ Perpendicular bisector

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Answer:

p = 5

Step-by-step explanation:

Given equation:

2p - 3 = p+2

To Find:

Soln:

2p - 3 = p + 2

Subtract p from both sides:

=>2p-3−p = p+2-p

=>p-3 = 2

Add 3 to both sides:

=>p−3+3 = 2+3

=>p = 5

Hence,the value of p would be 5.

We can plug the value we got to the original equation to verify:

=> 2p - 3 = p + 2

=> 2(5) -3 = 5 + 2

=> 10 - 3 = 7

=> 7 = 7 [Proved]

Hence,this equation is true.

[tex]\rule{225pt}{2pt}[/tex]

Acronym PEMDAS rule means:

Answer:

p = 5

Step-by-step explanation:

First we add 3 to both sides to make :

2p = p + 5

Now we subtract p from both sides :

p = 5

Hope this helped and brainliest please

Answer:

1. Median:70, Range:12, IQR: 8

2. Median: 59, Range: 48, IQR: 31

Step-by-step explanation:

Hello, the answers I have are just approximations because I can not tell the specific number in between each mark.

The median is the middle vertical line of the box. The range is you maximum subtracted from your minimum. You can find these at the lines that extend out of the box. The interquartile range is the ends of the box subtracted from each other, meaning quartile 3 subtracted from quartile 1.

Hope this helps.

The statements that are true about the given points on the line are; Options B, C and D

A plane is defined by a line and a point outside of it. Meanwhile, a line is defined by two points. Thus, whenever we have 3 non-collinear points, we can define a plane.

Let us check each of the given options;

A) There are exactly two planes that contain points A, B, and F;

If these points are collinear, they can't make a plane and If they are not collinear, they define a plane.

Since we can't make two planes with them, then the statement is false.

B) There is exactly one plane that contains points E, F, and B;

Due to the same reasoning in part A, the statement is true assuming the points are not collinear.

C) The line that can be drawn through points C and G would lie in plane X;

The statement is true because both points C and G lie on plane X, and as such the line that connects them also should lie on the same plane.

D) The line that can be drawn through points E and F would lie in plane Y; Similar to above, this statement is true.

E) The only points that can lie on plane Y are points E and F.

This statement is false because infinite points can lie on a plane.

Read more about plane points at; https://brainly.com/question/11958640

#SPJ1

Applying the Pythagorean theorem and the trigonometric ratios, the perimeter of triangle ABC is: 68.8 units.

The perimeter of a triangle = sum of its 3 sides.

Given the following:

Use the Pythagorean theorem to find AD considering triangle ADB as a right triangle:

AD = √(15² - 9²)

AD = 12 units

Use the trigonometric ratios to find DC and AC:

sin 30 = AD/AC

sin 30 = 12/AC

AC = 12/sin 30

AC = 24 units

tan 30 = AD/DC

tan 30 = 12/DC

DC = 12/tan 30

DC ≈ 20.8 units

BC = BD + DC = 9 + 20.8

BC = 29.8 units.

Perimeter of triangle ABC = BC + AB + AC

Perimeter of triangle ABC = 29.8 + 15 + 24

Perimeter of triangle ABC = 68.8 units.

Learn more about the perimeter of a triangle on:

https://brainly.com/question/24382052

#SPJ1

The volume of the rectangular aquarium prism will be 51840 cubic inches.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

Your teacher just bought a new aquarium that is a rectangular prism.

If an aquarium has a length of 48 inches, a width of 36 inches, and a height of 30 inches.

Then the volume of the aquarium will be

The volume is given as

Volume = Length x Width x Height

Then we have

Volume = 48 x 36 x 30

Volume = 51840 cubic inches

More about the rectangular prism link is given below.

https://brainly.com/question/12649592

#SPJ4

The number of ways that Grant can arrange 3 of the 10 plants is 120 ways and the number of ways that 4 floats out of 8 can be arranged is 70 ways.

Grant can arrange 3 out of 10 plants in the following number of ways:

= 10!/ ((10! - 3!)3!)

= ( 10 x 9 x 8) / (3 x 2)

= 120 ways

The parade organizer can arrange 4 floats out of 8 as:

= 8!/((8! - 4!)4!)

= (8 x 7 x 6 x 5) / (4 x 3 x 2)

= 70 ways

When 4! is written in expanded form, it comes out as:

= (4 x 3 x 2)

Find out more on combinations at https://brainly.com/question/4658834.

#SPJ1

Step-by-step explanation:

-2g(1+g)

-2g - 2g²

(-2)g - (2)g²

Let's solve this problem step-by-step:

  ⇒ with our knowledge of PEMDAS

     ⇒ (look at the image attached)

Let's solve:

              [tex]\frac{9}n}+4 = > \frac{9}{-3}+4[/tex]

              [tex]\frac{9}{-3}+4=-3+4[/tex]

             [tex]-3+4=1[/tex]

Answer: 1

Hope that helps!

Answer:

  35.4 million

Step-by-step explanation:

We assume the description "increases by 10% per day" means the base of the percentage is the previous day's number of streams. Then the sequence of streams on consecutive days is a geometric sequence with a first term of 20 million and a common ratio of (1 +10%) = 1.10.

__

The n-th term of a geometric sequence is ...

  an = a1×r^(n-1) . . . . . where a1 is the first term, and r is the common ratio

The sequence of streams on consecutive days is then ...

  an = 20×1.10^(n-1) . . . . millions of streams on day n

For n = 7, the number of streams is ...

  a7 = 20×1.10^(7 -1) ≈ 35.4 . . . . million streams

There will be about 35.4 million streams on the seventh day.

The initial amount of the water is 15 gallons

These are functions that has a leading degree of 1. Given the equation that represents the amount of water remaining after x minutes;

y - 12 = -3(x- 1)

y -12 = -3x + 3

y = -3x +3 + 12

y = -3x + 15

In order to determine the initial amount of water, we will substitute x =0 into the function

y = -3(0) + 15

y = 15

Hence the initial amount of the water is 15 gallons

Learn more on linear function here: https://brainly.com/question/15602982

#SPJ1

Answer:

15

Step-by-step explanation:

Answer:

D) None of the choices are correct.

Explanation:

Given triangles AHL and NKG

Sides which are congruent:

So, AHL ≅ NKG. There are no such options.

The marginal distribution for gender tells you the probability that a randomly selected person taken from this sample is either male or female, regardless of their blood type.

In this case, we have total sample size of 714 people. Of these, 379 are male and 335 are female. Then the marginal probability mass function would be

[tex]\mathrm{Pr}[G = g] = \begin{cases} \dfrac{379}{714} \approx 0.5308 & \text{if }g = \text{male} \\\\ \dfrac{335}{714} \approx 0.4692 & \text{if } g = \text{female} \\\\ 0 & \text{otherwise} \end{cases}[/tex]

where G is a random variable taking on one of two values (male or female).

The number of boxes will weigh 18 ounces or less will be 138. Then the correct option is A.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The weights of boxes of rice produced at a factory are normally distributed with a mean of 20 ounces and a standard deviation of 1.5 ounces.

Consider a shipment of 1500 boxes of rice.

Then the number of the boxes will weigh 18 ounces or less will be

z = (18 - 20) / 1.5

z = -1.33

Then the probability will be

P(x ≤ 18) = P(z ≤ -1.33)

P(x ≤ 18) = 1 - P(z > -1.33)

P(x ≤ 18) = 1 - [1 - P(z < -1.33)]

P(x ≤ 18) = P(z < -1.33)

P(x ≤ 18) = 0.091211

Then the number of the boxes will weigh 18 ounces or less will be

⇒ 0.091211 x 1500

⇒ 136.8

approximately 138 boxes.

Then the correct option is A.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

#SPJ1

The expected number of adults that believe ufos are watching earth is 4

The given parameters are:

p = 48%

Sample size, n = 8

The expected number of adults that believe ufos are watching earth is calculated as:

E(x) = np

This gives

E(x) = 8 * 48%

Evaluate

E(x) = 3.84

Approximate

E(x) = 4

Hence, the expected number of adults that believe ufos are watching earth is 4

Read more about expected values at:

https://brainly.com/question/15858152

#SPJ4

Answer:

2(7x-4) = 7x(2)-4(2) = 14x-8

but

(7x-4)^2 = (7x-4) (7x-4)

Answer:

X=1 and Y=4

By counting eacht vetmrtical divided units

Answer:

27.5%

Step-by-step explanation:

Given:

Review:

Concepts:

Formula:

Now we must convert 275 milliliters to liters.

1. Divide the volume by 1,000.

275 ÷ 1000 = 0.275

2. Add the Unit Symbol for Liter.

0.275 ⇒ 0.275 L

Now we have to find how much of 1 liter- 0.275 liters as a percentage is.

To convert 0.275 to percent multiply 0.275 by 100. The result is 27.5 percent, or, using the percent sign, 27.5 %.

Step-by-step explanation:

the median is the value, where half of the other values is smaller (or equal), and the other half bigger (or equal).

with an even number of data points that is not directly possible to find.

in this case the 2 middle values are taken and their mean value is the median.

in our case, the 2 middle values are 12 and 14.

their mean value is

(12+14)/2 = 26/2 = 13

so,

13 is the median (even though if is not a data point itself).

Answer:

y= -1/2x+5

Step-by-step explanation:

The amount of time that Nora practices flips is; t = 1 ¹/₄

We are told that;

Nora spends time practicing flips on the trampolines. Let this be t.

Then, she spends 1/2 of an hour eating birthday cake with her friends.

Thus, total amount of time spent on flips and eating with her friends is;

t + ¹/₂ = 1 ³/₄

t = 1 ³/₄ - ¹/₂

t = 1 ¹/₄

Complete Question is;

After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she gets there, Nora spends time practicing flips on the trampolines. Then, she spends 1/2 of an hour eating birthday cake with her friends. In all, Nora spends 1 3/4 hours at FlyZone. Which equation can you use to find the amount of time Nora practices flips?

Solve this equation for (t) to find the amount of time Nora practices flips

Read more about Algebra Problems at; https://brainly.com/question/723406

#SPJ4

The effect that the change in scale has on what the graph suggests is C. The differences between the groups seems much less in Graph B.

It should be noted that graph simply means a diagram that's used to show the information about a data given.

Here, the effect that the change in scale has on what the graph suggests is that the differences between the groups seems much less in Graph B.

Therefore, the correct option is C.

Learn more about graph on:

brainly.com/question/19040584

#SPJ1

The Sine or Sin(θ) in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. The Height on the wall till which the ladder reaches is 21.148 ft.

The Sine or Sin(θ) in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The height of the wall can be found by using the trigonometry ratios, therefore, the height of the wall can be determined as,

Sin(74°) = (Height on the wall)/(Length of the wall)

Sin(74°) = (Height on the wall)/22 ft

(Height on the wall) = 21.148 ft

Hence, the Height on the wall till which the ladder reaches is 21.148 ft.

Learn more about Sine:

https://brainly.com/question/21286835

#SPJ1

Answer:

21.15

Step-by-step explanation:

Answer:

0

3

3

3

8

9

12,161.71√

I think his is the best order

Answer:

i don't understand your question

Step-by-step explanation: