A bag contains 3 red marbles(R), 5 green marbles(G), 2 black marbles(B), and 1 white marble(W). A marble is drawn from the bag and then replaced 30 times. What is the experimental probability of drawing a red marble?

Answer:

286 mm ^2

Step-by-step explanation:

The figure is a trapezoid

The area of a trapezoid is given by

A = 1/2 ( b1+b2) *h where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 28+24) * 11

A = 1/2 (52)*11

A =286 mm ^2

Answer:

The area of this figure is 286

Step-by-step explanation:

The formula for the area of a trapezoid is A = (a+b/2)h, or the top line plus the bottom line divided by 2 times the height. a is given as 24 mm and b is given as 28 mm so 24 plus 28 is 52. 52 divided by 2 is 26. 26 times 11 is 286 therefore the answer and area is 286.

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

There will be 3 water stations along the fun run using the mathematical operation of division.

A mathematical operation uses addition, subtraction, division, or multiplication to reach a result after combining variables, numbers, and mathematical operands.

In this situation, we only use division to get the quotient, which is the number of water stations along the fun run.

The total distance for a fun run = 3/5 miles (0.75 miles)

The spread of the water station along a mile = every 1/4 mile (0.25 miles)

The number of water stations along the run = 3 (0.75/0.25)

Thus, Hana needs to station 3 water stations along the run by dividing the total distance by the expected spread.

Learn more about mathematical operations at https://brainly.com/question/20628271

#SPJ1

Answer:

50+3=53

Step-by-step explanation:

mark as Brainliest

Answer:

53

Step-by-step explanation:

5+5+5+5+5+5+5+5+5+5+1+1+1

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

The inputs 4 and 8 have more than one out, the relation is not a function.

A relation is said to be a function if one input is mapped to one output.

that is, each x-value can only have one y-value.

From the table;

Input, output

4 ----- 1

8 ----- 3

4 ------5

8 ----- 4

4  is an input, it has an output of 1.

4 appeared again as input but this time has an output of 5.

This means one input has more than one output.

Also, 8 is an input, it has an output of 3.

8 appeared again as input but this time has an output of 4.

Which also means one input has more than one output.

Therefore, the relation is not a function.

Learn more about functions here: brainly.com/question/2541698

#SPJ1

The true statement is, The graph of y = log (x) + 4 is the graph of y = log (x) translated 4 units up.

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

Given function is,

y = log (x)

When the graph is translated 4 units down,

y = log (x) - 4

When the graph is translated 4 units left,

y = log (x + 4)

When the graph is translated 4 units up,

y = log (x) + 4

When the graph is translated 4 units right,

y = log (x - 4)

Hence the true statement is C.

Learn more about Translation here :

https://brainly.com/question/26238840

#SPJ5

Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units

Answer:

x=13

Step-by-step explanation:

The value of y is 178.5ft

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

sin(tetha) = opp/hyp

cos (tetha) = adj/hyp

tan(tetha) = opp/adj

to find y;

tan 27° = y/350

y = tan27° ×350

y = 0.51 × 350

y = 178.5 ft

therefore the value of y is 175 ft

learn more about trigonometric ratio from

https://brainly.com/question/24349828

#SPJ1

1. The possible amounts of time for which the chemistry club could rent the meeting room are 1 to 5 hours.

2. Solving the inequality for t is 39 + 6.80t ≤ 73, where the maximum time is 5 hours.

Inequality is a mathematical statement that two or more mathematical expressions are unequal.

Inequalities are depicted using the following symbols:

The total budget of the chemistry club for renting a meeting room = $73.60

The reservation fee charged by the college = $39

The additional fee (variable cost) per hour = $6.80

The number of hours the club can rent the meeting room = t

The inequality representing the situation is:

39 + 6.80t ≤ 73.

39 + 6.80t ≤ 73

6.8t ≤ 73 - 39

6.8t ≤ 34

t ≤ 5 (34/6.8)

Learn more about inequalities at https://brainly.com/question/24372553.

#SPJ1

Answer: 4*(x+12)=52.

Answer:

Let b be the distance in feet to base camp and p be the distance in feet to the peak. Then, the remaining distance Rina must climb to reach the peak is:

Rina's distance = p - b

Since Rina has not yet reached base camp, we know that b > 0. Thus, the inequality to show the remaining distance d in feet she must climb to reach the peak is:

p - b > 0

Step-by-step explanation:

Answer:

2. 10^38, or 10 to the power of 38.
3. 10^15, or 10 to the power of 15.

Step-by-step explanation:

2. If you are multiplying two individual 10's with each having its own power, add the powers together to form an answer. DO NOT ADD THE 10'S TOGETHER!!! Since 10^32 is being multiplied by 10^6, you would write it as 10^38.

3. Because you have 10 cubed inside the bracket, with an exponent of 5 outside of the bracket, you multiply the brackets together. DO NOT MULTIPLY 10!!! So, 5 x 3 equals 15, You would get 10^15.

Answer:

9 hours > 450 minutes

Step-by-step explanation:

An hour is a period of 60 minutes. 9 times 60 (9 hours) is 540 minutes.

540 > 450 minutes.

9 hours is more than 450 minutes.

9 hours > 450 minutes

Answer:

9 hours > 450 minutes

Step-by-step explanation:

We want to compare 9 hours with 450 minutes.

Let's first convert them to the same units of time: minutes.

There are 60 minutes in an hour, so there are 60 * 9 = 540 minutes in 9 hours.

Clearly, 540 is greater than 450, so we would use > to show that:

9 hours > 450 minutes

~ an aesthetics lover

Answer:

Salma should land her spinner on a 1, 2 or 3 about 600 times.

Step-by-step explanation:

Since Salma has a spinner divided into 8 equal sections, and each section is bered with a number 1 through 8, and Salma is going to spin the spinner 1600 times, to determine, theoretically, how many times should she land on a 1, 2, 3 the following calculations must be performed:

8 = 100

3 = X

3 x 100/8 = X

300/8 = X

37.5 = X

100 = 1600

37.5 = X

37.5 x 1600/100 = X

60000/100 = X

600 = X

Therefore, Salma should land her spinner on a 1, 2 or 3 about 600 times.

Answer:

8:3

Step-by-step explanation:

56:21

56/21 = 8/3

8:3

The voltage is therefore between 20 and 29 volts as the formula for Ohm's law can be used to get the voltage V.

The measurement of the potential energy per unit charged in an electric circuit is voltage, sometimes referred to as the difference in electric potential. It is the force behind how an electric charge travels through a conductor. The sign V stands for voltage, which is denoted by the unit volts (V).

given

The formula for Ohm's law can be used to get the voltage V:

V = I * Z

where Z is the impedance and I is the current.

Here are the facts:

Z = 1 - 4i ohms, I = 8 + 3i amps.

When we multiply these values, we obtain:

V = (8 + 3i) * (1 - 4i) (1 - 4i)

\(V = 8 - 32i + 3i - 12i^2\)

V = 20 - 29i

The voltage is therefore between 20 and 29 volts as the formula for Ohm's law can be used to get the voltage V.

To know more about voltage visit :-

https://brainly.com/question/29445057

#SPJ1

The equation for total cost of buying and shipping the records is

76.4x + 80

We have,

She buys 3 in good condition

So, the cost for 3 good condition

= 3 (10.5x)

= 31.5 x

and, She buys 1 in Fair condition

So, the for 1 fair condition

= 5x

and, She buy 2 new condition then the price is

= 39.9 x

So, the equation for total cost of buying and shipping the records is

= 31.5x + 5x + 39.9x + 8

= 76.4x + 8

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ1

Answer:

no

Step-by-step explanation:

4 33/100 is equal to 4.33, it is 4.33, not 4.33 with the dot on it, it means recurring decimal. It is jot a recurring decimal. :)

Answer:

Multiply , add and then you get your solution.

Step-by-step explanation:

y=2(-3)+3

y= -6+3

y= -3

Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=\(\frac{9}{3}\)

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

Yes, there is an association between food ordered and drink ordered because the distributive property of drinks ordered differs among the food groups.

Yes, there is an association between food ordered and drink ordered, as evidenced by the graph. The graph shows the distribution of drinks ordered among the various food groups, and it can be seen that the distribution differs among the food groups. For example, beer is the most popular drink ordered when burgers are the food ordered, while soda is the most popular drink when salads are the food ordered. This indicates that customers are more likely to order certain drinks depending on the type of food they are ordering, showing an association between food ordered and drink ordered.

Learn more about distributive property here

https://brainly.com/question/5637942

#SPJ4

The equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.

The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. The point-slope form of a line can be converted to the slope-intercept form of a line, y = mx + b, where b is the y-intercept.

The equation y - 5 = (4/3)(x - 6) can be rearranged into the point-slope form of a line by isolating the y-term and simplifying: y - 5 = (4/3)(x - 6)y - 5 = (4/3)x - 8y = (4/3)x - 3

Now, we have the point-slope form of the line with slope 4/3 and y-intercept -3.

To convert this to the slope-intercept form of a line, we simply rearrange the equation to solve for y:y = (4/3)x - 3 This is the slope-intercept form of the line, where the slope is 4/3 and the y-intercept is -3.

Thus, the equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.

For more such questions on point-intercept

https://brainly.com/question/10517354

#SPJ8

Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

Answer:

(p+,7)2 the number 2 is to be above 7 hope this helps

Answer:

its 11

Step-by-step explanation:

Answer:

7

Step-by-step explanation: