Use the formula A=P(1+r/n)ⁿt to solve the compound interest problem
Find how long it takes for $ 900 to double if it is invested at 6 % interest compounded monthly.
The money will double in value in approximately years.

Answer:

y=3/2x-11

The probability that their mean pulse rate is less than 80 beats per minute is of:

0.7389 = 73.89%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters for this problem are given as follows:

[tex]\mu = 76, \sigma = 12.5, n = 4, s = \frac{12.5}{\sqrt{4}} = 6.25[/tex]

The probability that their mean pulse rate is less than 80 beats per minute is the p-value of Z when X = 80, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (80 - 76)/6.25

Z = 0.64

Z = 0.64 has a p-value of 0.7389.

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About 999 plants have weights more than 11.2 ounce.

The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a given data point deviates from the mean. In essence, standard deviation represents the degree

Given:

Mean= 14

Standard deviation = 0.8

So, P( x > 11.2) = P( (x- [tex]\mu[/tex])/ [tex]\sigma[/tex] > (11.2- 14/ 0.8)

                       = P( (x- [tex]\mu[/tex])/ [tex]\sigma[/tex] >  -3.5)

                       = 0.999767

Hence, about 999 plants have weights more than 11.2 ounce.

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The area of the figures is shown:

Rectangle A: 54 units²

Rectangle C: 21 units²

Triangle B: 3 units²

The measurement that expresses the size of a region on a plane or curved surface is called an area.

Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The area of rectangle A:

Area = l*b

Area = 9*6

Area = 54 units²

Area of rectangle C:

Area = l*b

Area = 3*7

Area = 21 units²

Area of triangle B:

Area = 1/2 * b * h

Area = 1/2 * 3 * 2

Area = 1 * 3

Area = 3 units²

Therefore, the area of the figures is shown:

Rectangle A: 54 units²

Rectangle C: 21 units²

Triangle B: 3 units²

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Answer: You Like Big Black Men and You love them dancing on you

Step-by-step explanation:

I have your search history ;)

The system of inequalities can LaShonda use to find the number of tickets she can buy will be;

⇒ x + y ≤ 25

⇒ 22.50x + 17.50y < 400

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

She wants to have at least 25 tickets. Each adult ticket costs $22.50 and each child ticket costs $17.50.

LaShonda wants to spend no more than $400.

Now,

Let the number of adult tickets = x

And, The number of child tickets = y

Here, She wants to have at least 25 tickets.

So, We get;

⇒ x + y ≤ 25

And, Each adult ticket costs $22.50 and each child ticket costs $17.50.

LaShonda wants to spend no more than $400.

So, We get;

⇒ 22.50x + 17.50y < 400

Thus, The system of inequalities can LaShonda use to find the number of tickets she can buy are;

⇒ x + y ≤ 25

⇒ 22.50x + 17.50y < 400

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Answer:

y = 1

Step-by-step explanation:

The middle of the equation on the graph is y = 1.

Answer:

8a + 3a^2 + 8

Answer:

sinA = 7/25

tanX = 35/12

Step-by-step explanation:

Trigonometric ratio for:

sinA = perpendicular/hypotenuse = 14/50 = 7/25

tanX = perpendicular/base = 35/12

The amount of baking powder would they need to used 1 teaspoon of salt will be 6 teaspoons.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The Mosley family's pancake recipe uses 2 teaspoons of baking powder for every 1/3 of a teaspoon of salt.

Now,

Since, The Mosley family's pancake recipe uses 2 teaspoons of baking powder for every 1/3 of a teaspoon of salt.

Hence, The amount of baking powder would they need to used 1 teaspoon of salt = 2 × 3

                         = 6

Thus, The amount of baking powder would they need to used 1 teaspoon of salt will be 6 teaspoons.

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If a sum of $500 were shared among a group of people in the following ratios,

a) 6:4 then, 6x = 300 and 4x = 200.

b) 1:4:5 then, x = 50 , 4x = 200 and 5x = 250.

c) 1 : 8 : 1 then, x =50 , 8x = 400 and x = 50

d) 10 : 5: 4: 1 then, 10x = 250 , 5x = 125, 4x = 100, x = 25.

What is ratio?

a) 6:4

Let it be 6x , 4x

6x + 4x = 500

10x = 500

x = 50

Then, 6x = 300 and 4x = 200.

b) 1:4:5

Let be x, 4x, 5x

x + 4x + 5x = 500

10x = 500

x = 50.

Then x = 50 , 4x = 200 and 5x = 250.

c) 1 : 8 : 1

x + 8x + x =500

10x = 500

x = 50

Then, x =50 , 8x = 400 and x = 50

d) 10 : 5: 4: 1

10x + 5x + 4x + x = 500

20x = 500

x = 25

Then, 10x = 250 , 5x = 125, 4x = 100, x = 25.

Hence, If a sum of $500 were shared among a group of people in the following ratios,

a) 6:4 then, 6x = 300 and 4x = 200.

b) 1:4:5 then, x = 50 , 4x = 200 and 5x = 250.

c) 1 : 8 : 1 then, x =50 , 8x = 400 and x = 50

d) 10 : 5: 4: 1 then, 10x = 250 , 5x = 125, 4x = 100, x = 25.

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For the given matrix the additive inverse property is shown.

What is additive inverse of matrix?

The matrix that is created by changing the sign of each matrix element is known as the additive inverse. -(-A)=A is the notation for the additive inverse of the matrix A.

Rows and columns serve as a measure of a matrix's dimensions. Given that it has three rows and three columns, for instance, the matrix below has a dimension of 3 x 3. Three by three can be read off as the matrix's dimension. We consequently obtain the additive inverse of the matrix

M = - M.

Consider the given matrix,

[tex]\left[\begin{array}{ccc}-6&15&-2\\9&0&-3\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\\-9&0&3\end{array}\right] = \left[\begin{array}{ccc}0&0&0\\0&0&0\end{array}\right][/tex]

Here each element in first matrix is negative of the element of second matrix.

That is each element is inverse of the element in second matrix.

And the addition of elements is 0.

Hence, for the given matrix the additive inverse property is shown.

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Answer:

$-185

Step-by-step explanation:

If Johns bank account is at $-141, and he continues to use money, then the equation would look something like this:
-141 + -29 + -15 =?

It's simple! Just add the numbers together!

141 + 29 = 170

170 + 15 = 185

Johns bank account status is now $-185.

The set of scale factors that would produce a contraction under a dilation of the original image are:

B. -0.5

C. 0.5

A scale factor can be defined as the ratio of two corresponding length of sides or diameter in two similar geometric figures such as equilateral triangles, quadrilaterals, and other types of polygons.

In Mathematics, the following rules are applied to interpret and understand the dilation of a geometric figure:

For a contraction under a dilation of the original image, the scale factor (k) must either be negative or less than one (1). Therefore, the required values are -0.5 and 0.5 respectively.

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Answer:
S=64 x S = length

Answer:

0.39, 0.388, 38.38%, 3/8

Step-by-step explanation:

Step-by-step explanation:

[tex] - \frac{x}{2} - 1 = (y - 3) {}^{2} [/tex]

[tex] - 0.5(x + 2) = (y - 3) {}^{2} [/tex]

A parabola with a vertex (-2,3)

The equation to find the total number of questions (q) on Tim's math test is 76 = 4x + 0

How to write and solve equation?

Number of wrong questions = 10

Points received for right question = 4 points

Points received for wrong question = 0 points

Total of Tim's score = 76%

According to the given question:

Let the number of questions right answered by Tim be x.

Total points gained by Tim for the right answer = number of questions right answered x Points received for a right answer

= x × 4

= 4x

Points gained by Tim for the wrong answer = number of questions wrong answered x Points received for a wrong answer

= 10 × 0

= 0

Total points scored by Tim = Points gained for the right answer + Points gained for the wrong answer

76 = 4x + 0

76 = 4x

divide both sides by 4

x = 76/4

x = 19

Hence, the number of question answered right by Tim are 19.

Total number of questions attempted by Tim

Total number of questions attempted by Tim

= number of questions answered right +number of questions answered Wrong

= 19 + 10

= 29

Hence, the total number of questions attempted by Tim is 29.

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Answer:

Green line:  y is greater than or equal to ax+b

Purple line:  y is less than ax+b

(-3, -5) : Yes

(1, 6) : No

Step-by-step explanation:

When graphing inequalities:

Green line

From inspection of the given graph, the green line is a solid line and the shading is above the line.

Therefore, the inequality symbol of the green line is ≥.

"y is greater than or equal to ax+b"

Purple line

From inspection of the given graph, the purple line is a dashed line and the shading is below the line.

Therefore, the inequality symbol of the purple line is <.

"y is less than ax+b"

The solutions to a graphed system of inequalities are found in the overlapping shaded region.

Yes, point (-3, -5) is a solution to the system of inequalities as this point is in the overlapping shaded region.

No, point (1, 6) is not a solution to the system of inequalities as this point is not in the overlapping shaded region.

The rate of change of the function that is defined by the table:

X: 2 4 6 8 10

Y: 4 8 12 16 20

is r = 2

For a function with two known points (x₁, y₁) and (x₂, y₂), the rate of change between these two points is written as:

r = ( y₂ - y₁)/(x₂ - x₁)

Here we have the table that defines a function:

X: 2 4 6 8 10

Y: 4 8 12 16 20

Here we can use any pair of two points on the table, for example, if we use the first pair and last pair:

(2, 4) and (10, 20)

The rate is:

r = (20 - 4)/(10 - 2) = 16/8 = 2

If we use the first two pairs (2, 4) and (4, 8) we get:

r = (8 - 4)/(4 - 2) = 4/2 = 2

So the rate of change of the function is r = 2.

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Answer:

  (a) (1, -3)

  (b) (2, -2)

Step-by-step explanation:

You want to identify two points on the line through (3, -1) that has a y-intercept of -4.

Graphing the line and points is suggested. The attached shows that graph, and identifies the two points on the line as ...

  (1, -3) and (2, -2)

__

Additional comment

The equation of the line is x-y=4, so you can tell if the points fall on the line by seeing if they have that difference.

Answer:

a

Step-by-step explanation:

just becsue

Answer:

0,02

Step-by-step explanation:

i got it correct

Answer:

[tex]\frac{12}{35}[/tex]

Step-by-step explanation:

multiple the numerators together 2 x 6  = 12 and multiply the denominators togethers 5 7 = 35

A vertex with degree 2 in a graph has an edge that loops around itself. The graph is therefore a cycle graph.

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Answer:

x>-3

Step-by-step explanation:

1

Add

3

to both sides

-3x-3<6

-3x-3+

2

Simplify

Add the numbers

Add the numbers

-3x<9

3

Divide both sides by the same factor, and flip the relation because the factor is negative

-3x<9

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

x>-3

Answer: Depends on what quadrant it starts in/on.

Step-by-step explanation:

Quadrant 1 is the top-right corner.
Quadrant 2 is the top-left corner.
Quadrant 3 is the bottom-left corner.
Quadrant 4 is the bottom-right corner.

Depending on what quadrant you started on will determine what quadrant you're on after rotating 90 degrees counter-clockwise.

Answer:

A

Step-by-step explanation:

15 : 100 = x : 250

x = 250 * 15 / 100

x =  2.5 * 15

x = 37.5

x = 38

A trigonometric equation is an equation containing one or more trigonometric ratios of unknown angles. It is expressed as the ratio of the sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec) angles. For example, cos2 x + 5 sin x = 0 is a trigonometric equation.

What are examples of trigonometric equations?

Trigonometric equations are equations containing trigonometric functions with one variable. For example, sin x + 2 = 1 is an example of a trigonometric equation. The equation can be as simple as this, or as complex as sin2 x – 2 cos x – 2 = 0.

What are the 4 types of trigonometry?

Side length ratios can be found with six trigonometric functions. The six functions are sine (sin), cosine (cos), tangent (tan), cosecant(cosec), secant (sec), and cotangent (cot).

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Answer(s):

[tex]\displaystyle y = 3sin\:(\frac{2}{3}x + \frac{\pi}{2}) + 2 \\ y = -3cos\:(\frac{2}{3}x \pm \pi) + 2 \\ y = 3cos\:\frac{2}{3}x + 2[/tex]

Step-by-step explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{3}{4}\pi} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{2}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{2}{\frac{2}{3}}\pi \\ Amplitude \hookrightarrow 3[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{2}{\frac{2}{3}}\pi \\ Amplitude \hookrightarrow 3[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3sin\:\frac{2}{3}x + 2,[/tex]in which you need to replase “cosine” with “sine”, then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{3}{4}\pi\:units[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{3}{4}\pi\:units,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{3}{4}\pi} = \frac{-\frac{\pi}{2}}{\frac{2}{3}}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3sin\:(\frac{2}{3}x + \frac{\pi}{2}) + 2.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-4\frac{1}{2}\pi, -1],[/tex]from there to [tex]\displaystyle [-1\frac{1}{2}\pi, -1],[/tex]they are obviously [tex]\displaystyle 3\pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 3\pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 2,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

The expected value of the game, given the amounts to be made when a number is rolled, is  $ 1.25

First, find the probability of rolling an 8 :
= Number of eights / Number of sides

= 1 / 8

= 0.125

The the probability of rolling an odd number :

= Odd numbers from 1 to 8 / Number of sides

= 4 / 8

= 0.5

The expected value of the game is:

= ( Probability of getting an 8 x Amount if you get 8 ) + (  Probability of getting an odd x Amount if you get an odd ) + (  Probability of not getting an 8 or odd x Loss )

=  ( 0.125 x 9 ) + ( 0.5 x 1 ) + ((1 - 0.125 - 0.5) x  -1)

= $ 1.25

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The probability of the defective items is given as 0.015.

Given that,
A production line estimates that 1.50% of the items it produces is defective. In a package containing 200 items,

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

here,
Number of the item = 200
1.5% of the item is defective, = 0.015 [200]
Probability of the defective item = 0.015[200] / 200 = 0.015

Thus, the probability of the defective items is given as 0.015.

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