what are composite numbers out of 49, 35, 32, 41, and 47​

Answer:

3x-2y=-6

My mom listening to wap

Using the Central Limit Theorem, it is found that the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal.

It states that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

Hence, the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal, no matter the underlying distribution of the variable.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

#SPJ1

The shape is a triangular prism with a triangular base, base area of 24in², height of 5in and volume of 40in³

The given solid is a triangular prism since its base figure is triangular in nature.

Since the base is a triangle, the area of the base is expressed as:

Area = 1/2 * base * height

Area of base = 1/2 * 6 * 8

Area of base = 24 square inches

The height of the solid is 5 inches and the required volume is calculated as:

Volume = BH/3

Volume = 24*5/3

Volume = 40 cubic inches

The shape is a triangular prism with a triangular base, base area of 24in², height of 5in and volume of 40in³

Learn more on volume of prism here: https://brainly.com/question/29663752

#SPJ1

The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

Read more about Perimeter of triangle at; https://brainly.com/question/24382052

#SPJ1

Answer:

v = 2.25 ft/s

Step-by-step explanation:

Given that,

A person is walking at a rate of 9 feet every 4 seconds.

We need to find their speed. We know that, the speed of total distance divided by time taken. So,

\(v=\dfrac{d}{t}\\\\v=\dfrac{9\ ft}{4\ s}\\\\v=2.25\ ft/s\)

So, the speed is 2.25 ft/s.

Answer:

Step-by-step explanation: Yes, they can match in 2, 5, and/or 10 equal rows. This is because the number of items in the set can be divided evenly by 2, 5, and 10. For example, if there are 20 items in the set, it can be divided into 2 rows of 10, 5 rows of 4, or 10 rows of 2.

Answer: (x-2)2

Step-by-step explanation:

The required equation is  \(y=(x-2)^2\)

The correct answer is an option (C)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

We have been given four equations.

We need to find an equation for which y is always greater than or equal

to -1.

Consider,

A. y = ∣x∣ - 2

We know that the minimum value of ∣x∣ is 0.

So, the minimum value of y becomes -2

Hence, this is not a required equation.

B. \(y=x^{2} -2\)

We know that the square of any number is always positive.

The minimum value of \(x^{2}\) is 0.

So, the minimum value of y becomes −2

Hence, this is not a required equation.

C. \(y=(x-2)^2\)

We know that the square of any number is always positive.

The minimum value of y is zero.

This means, the y value of equation  \(y=(x-2)^2\) is always greater than -1.

D. \(y=x^3-2\)

We know that \(x^3\) can go have negative values. This means it may have value that tends to negative infinity.

This means, the y can be less than -1 and this is not a required equation.

Therefore, the required equation is  \(y=(x-2)^2\)

The correct answer is an option (C)

Learn more about the equation here:

https://brainly.com/question/13170101

#SPJ2

Answer: now u can crown him

Step-by-step explanation:

Answer:

A graph of the data that was collected is shown: A line graph with Number of Months on the x axis and Number of Users, in thousands, on the y axis. The x axis has a scale from 0 to 36 with an increment of 4. The y axis has a scale of 0 to 60 with increments of 6. A straight line connecting 0, 0 and approximately 36, 54 is drawn. What can be interpreted from the range of this graph? v .

Answer:

c

Step-by-step explanation:

-------------------------------------------------------------------------------------------------------------

Answer:  The top right table

-------------------------------------------------------------------------------------------------------------

Given: \(\textsf{y = 30 - 3x}\)

Find:  \(\textsf{Match the table of values with the equation}\)

Solution: First we must understand what form our equation is in and what each of the numbers represent.  This form is known as the slope intercept form which is formatted as y = mx + b.  Our equation is slightly re-ordered but we can change that by converting it to y = -3x + 30 where m is equal to -3 and b is equal to 30.  Let us know talk about what m and b are.  M is the slope of the equation or also known as the rise/run or the change in y over the change in x.  B is the y-intercept which is basically the value of y when x is equal to 0.  In this case, our b is equal to 30.

Looking at the tables we can see what the value of y when x is equal to 0 for each table.  The only table that matches up stating that y is equal to 30 when x is 0 is the top right table.

You do not have to go any further but if you want to confirm that the slope is as expected we can do the following:  \(\frac{y_2\ -\ y_1}{x_2\ -\ x_1}\).

Plug in the values and simplify

Therefore, we can confirm that the slope matches up with the given equation as well.  So, the final answer would be that the top right table would correspond to the equation y = 30 - 3x.

Answer:

Equation 3

Step-by-step explanation:

Answer:Equation 3

linear functions dont have exponents

Step-by-step explanation:

Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

Given that,

The equation f(x)=1.9(0.41)ˣ.

We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.

We know that,

In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.

In the case of growth, f(x) = a(1+r\()^{x-h}\)+k, where b = 1+r

Decay is defined as f(x)=a(1-r)(x-h\()^{x-h}\)+k, where b=1-r.

Consider the function  f(x)=1.9(0.41)ˣ.

We write as

f(x)=1.9(1-0.59)ˣ

So, initial value C is 1.9

Decay factor =0.41

Growth factor = 0.59

Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

To learn more about decay visit: https://brainly.com/question/29058039

#SPJ1

Answer:

C - Reflect over the x-axis

Step-by-step explanation:

This is a reflection over the x-axis.

To remember the difference between reflectinon over the x-axis and reflectino over the y-axis, memorize this.

If you reflect over the x-axis, the x value of the reflected point stays the same.  (only the y is multiplied by -1)

If you reflect over the y-axis, the y value of the reflected point stays the same. (only the x is multiplied by -1)

Roation about the origin involves multiplying both x and y by -1.  (x and y change)

Answer:

Washer $735

Dryer $245

Step-by-step explanation:

If x is the cost of the washer, and y is the cost of the dryer, then:

x + y = 980

x = 3y

Solve with substitution.

3y + y = 980

4y = 980

y = 245

x = 735

Answer:

54

Step-by-step explanation:

2x^3

2(3)^3

2*3*3*3

54

Given:

The equation is

\((x-2)=-(x-2)\)

Isabel says that the given equation has no  solution because a number can never be equal to its opposite.

To find:

Isabel's mistake.

Solution:

Her reason "a number can never be equal to its opposite" is not correct.

Zero is a number that can be equal to its opposite.

So, the given equation has solution for which LHS=RHS=0.

We have,

\((x-2)=-(x-2)\)

\(x-2=-(x)-(-2)\)

\(x-2=-x+2\)

Add x and 2 on both sides.

\(x-2+x+2=-x+2+x+2\)

\(2x=4\)

Divide both sides by 2.

\(x=\dfrac{4}{2}\)

\(x=2\)

So, the given equation has a solution x=2.

The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².

The side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²

= 75.69 cm²

Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²

Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².

In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².

Total surface area = surface area of the cube + surface area of the cylinder

Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²

Total surface area ≈ 583.31 cm²

Learn more about area on

https://brainly.com/question/25292087

#SPJ1

Summary: The solution to the equation (x - 3)(x + 9) = -27 is x = 0 and x = -6.

Answer: See attached for the graph. The slope is \(\frac{-4}{5}\).

Step-by-step explanation:

     First, we will graph the points.

See attached.

Next, we will find the slope. This can be done with "rise over run". We will start at (-5, 5) and count 4 down and 5 right to (0, 1). This gives us a slope of;

     \(\frac{-4}{5}\)

the given triangle is a right angle triangle.

in the right angle triangle, we know the sine rule

Now cosine rule,

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

Expression 2(x+1) represents the sum of bob and Jacks age.

An expression is combination of variables, numbers and operators.

Given,

Bob is x years old,

Jack is two years older than bob=x+2

we need to find the sum of jacks age and bobs age

x plus x plus two

x+x+2

Two times of x plus two

2x+2

Take two as common, two times of x plus one

2(x+1)

Hence expression 2(x+1) represents the sum of bob and Jacks age.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

The person is 16. 55ft from the boat

From the information given, we have that;

To determine the distance between the boat and the person, let's use the trigonometric identity, sine

sine θ = opposite side/hypotenuse side

Given that;

Substitute the value

sin 65 = 15/d

cross multiply

d = 15/sin 65

Find the value

d = 15/0.9063

divide the values

d = 16. 56 ft

Hence, the value is 16.56ft

Learn more about distance here:

https://brainly.com/question/4931057

#SPJ1

Answer:

a=(-4,0)

b=(2,3)

c=(-5,1)

Step-by-step explanation:

So since you are replicating it on the y-axis, you won't need to change anything on the x axis. Just conut until the centerpoint and replicate that on the y axis

Answer:

1) The perpendicular bisector of the given line segment is 90 degrees

Step-by-step explanation:

I don't know the second one