Find the perimeter of the figure given to the right. Use the approximation 3.14

Probability of not drawing a black marble = (Number of marbles which are not black)/ (Total number of marbles)

Probability of not drawing a black marble = 12/ 20 (Replacing)

Probability of not drawing a black marble = 3/5 (Simplifying)

The answer is 3/5

To find the hypotenuse we going to use the Pythagorean theorem

being c the hypotenuse and a and b the other two sides

Replacing

Solving

Answer: hypotenuse = 13

The difference quotient for the given function is:

[tex]-\frac{4}{x*(x + h)}[/tex]

For the function f(x), we define the difference quotient as:

[tex]\frac{f(x + h) - f(x)}{h}[/tex]

In this case, the function is f(x) = 4/x, replacing that in the general difference quotient:

[tex]\frac{4/(x + h) - 4/x}{h}[/tex]

Now we can simplify this to get:

[tex]\frac{4/(x + h) - 4/x}{h} = 4*\frac{1/(x + h) - 1/x}{h} \\\\4*\frac{1/(x + h) - 1/x}{h} = 4*(\frac{1/(x + h)}{h} - \frac{1/x}{h})[/tex]

[tex]4*(\frac{1/(x + h)}{h} - \frac{1/x}{h}) = 4*(\frac{1}{(x + h)*h} - \frac{1}{x*h}) = 4*\frac{x - x - h}{x*h*(x + h)} = -\frac{4}{x*(x + h)}[/tex]

So the correct option is the last one.

Learn more about difference quotient:

https://brainly.com/question/24922801

#SPJ1

Answer:

4/15 ___ 4/5 {nothing further can be done}.

Step-by-step explanation:

1/3 * 4/5 = 4/15

4/15 = 0.26

4/15 ≠ 4/5

Thus, nothing further can be done

[tex] = 10 \frac{17}{20} \\ = \frac{20 \times 10 + 17}{20} \\ = \frac{217}{20} [/tex]

ATTACHED IS THE SOLUTION

The Solution:

Given:

Required:

to determine the best statement that compares the graph of g(x) with that of f(x).

Below is the graph of the given functions:

Thus, the graph of g(x) is the graph of f(x) compressed vertically and

reflected over the x-axis.

Answer:

[option B]

The actual distance between the two cities in kilometers is 73.8 kilometers.

Given:

The distance between two cities on a map = 4.1 centimeters

The Scale used by the map is, 1 centimeter is equivalent to 18 kilometers.

To find the actual distance between the two cities in kilometers,

We know, 1 centimeter = 18 kilometers.

For converting the distance in centimeters to kilometers we multiply the value in centimeters by the value of 1 centimeter i.e.18 kilometers.

So, 4.1 centimeter = (4.1 × 18) kilometers

                              = 73.8 kilometers

Therefore, the actual distance between the two cities calculated in kilometers is 73.8 kilometers.

To know more about distance conversions visit:

https://brainly.com/question/19338541

#SPJ10

Answer:

200 in³

Explanation:

The lengths of the sides of the constructed tetrahedron are twice the length of the side of the small tetrahedron of 50 in³. It means that the scale factor for the solid is 2. So, the complete volume of the constructed tetrahedron is equal to

Vn = 2³(50 in³)

Vn = 8(50 in³)

Vn = 400 in³

However, we only use 4 small tetrahedrons, so the volume of these four solids is

4(50 in³) = 200 in³

Then, the volume of the gap is the difference between the volume of the constructed tetrahedron and the volume of the 4 small tetrahedrons

400 in³ - 200 in³ = 200 in³

So, the answer is 200 in³

Sample space = 21

Pr(White or Yellow) = Pr(White) + Pr(Yellow)

Pr(White) = 3/21 = 1/7

Pr(Yellow) = 9/21 = 3/7

Therefore,

Pr(White or Yellow)= 1/7 + 3/7 = 4/7

Answer:-7 1/2

Step-by-step explanation:-3 divided by -2/5. -3÷-2/5. -3×-5/2. 15/2=7.5.

Given: The statement in the question

To Determine: The angle the cable form with the ground

Solution

The statement can be represented using the diagram below

Using trigonometry ratio

Hence, the angle the cable makes with the ground approximately to the nearest degree is 67⁰

Answer:

-4>x

Step-by-step explanation:

Answer:25.12

Step-by-step explanation: To find the circumference the equation is diameter time pie. Pie=3.14

Answer:

a. 227 in.

b. 120 in.

c. 107 in.

Step-by-step explanation:

a. diameter is the radius 2x. divide 17 by 2 to get the radius which is 8.5 plug it in to the formula A=π(8.5)2 to get 226.98 rounded to 227

b. formula: length x width. length is 15 width is 8. 15x8 = 120

c. subtract the area of the circle & the area of the rectangle to get 107.

Answer:  Denise spent more than Jane.

Step-by-step explanation:    Denise spent $9.97. We know now that Denise spent more than Jane. For the second part of the question how much more? We basically just subtract the two values. $9.97-$8.37 which is $1.60. There you go.

1/8

The given expression is:

Find the Least Common multiple(LCM) of the denominators

LCM of 4 and 8 = 8

After simplification, the addition expression then becomes:

System of equations:

Using a graphing calculator we can get the graph:

As the point in which both functions meet is (2, 4), then this is the solution.

Answer: (2, 4)

Given:

$10 price = 1000 customers per week.

$6 price = 2950 customers per week.

Let's write a linear equation for the attendance in terms of the price, p.

Apply the slope-intercept form:

y = mx + b

In this case, let's use the form:

A = mp + b

Where m is the average rate of change(slope) and b is the y-intercept.

To find the slope, m, apply the slope formula:

Where:

(x1, y1) ==> (10, 1000)

(x2, y2) ==> (6, 2950)

Hence, we have:

The average rate of change is -$487.5

To find the y-intercept, b, substitute either of the points for A and p, substitute -487.5 for x then evaluate.

Let's take the first point: (10, 1000)

A = mp + b

1000 = -487.5(10) + b

1000 = -4875 + b

Add 4875 to both sides:

1000 + 4875 = -4875 + 4875 + b

5875 = b

b = 5875

Therefore, the lineart equation for the attendance in terms of the price, p is:

A = -487.5p + 5875

ANSWER:

The question gives us the following function:

The X-intercept is where the function crosses the x-axis and the Y-intercept is where the function crosses the y-axis.

X-intercept:

Since the graph must cross the x-axis to have an x-intercept, we should equate f(x) to zero.

Y-intercept:

Since the graph must cross the y-axis to have a y-intercept, we should equate x = 0.

Answer

Thus, the x and y-intercepts are: x = 0 and y = 0 respectively

The statements about the function that are true are

The equation of the graph is given as

f(x) = (x - 1)(x + 7)

The graph of the function is added as an attachment

On the graph, we have

Vertex = (-3, -16)

This is so because the graph has a minimum point of (-3, -16)

Also, the graph crosses the x-axis at x = 1 and x = -7

This means that the graph is positive at x >1 and x >-7

Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3

Read more about quadratic functions at

https://brainly.com/question/14933288

#SPJ1

The missing side and angle of the similar polygons are as follows:

Similar polygons are two polygons with the same shape, but not the same size.

Similar polygons have corresponding angles that are congruent, and corresponding sides that are proportional.

Therefore, polygon ABCD is similar to polygon FGHI. This means the corresponding angles are congruent and the corresponding sides are proportional.

Therefore,

∠C is corresponding angle to ∠H. This means they are both congruent.

Hence,

∠H = 90 degrees

Let's find FI,

10 / 6  = 9 / FI

cross multiply

FI = 54 / 10

FI = 5.4

Let's find IH

10 / 6 = 8 / IH

cross multiply

IH = 48 / 10

IH  = 4.8

Let's find BC

10 / 6 = BC / 4.6

cross multiply

BC = 46 / 6

BC = 7.66666666667

BC = 7.7

learn more on similar polygon here: https://brainly.com/question/24272103

#SPJ1

Answer:

Explanation:

We are told that the grocery bill b is a function of n (the number of bags of chips). This means that the grocery bill can be represented as b(n).

Furthermore, we know that each bag of chips costs 2.42, meaning n bags of chips will cost 2.42n - which is the grocery bill b(n); therefore,

which is the equation the gives the grocery bill (as a function of n, the number of chips bags bought).

(a) The probability that exactly 4 out of 12 randomly sampled 18 to 20 year old consumes an alcoholic drink is 0.008127.

(b) The probability that exactly 8 out of 12, 18 to 20-year-olds have not consumed an alcoholic beverage is 0.231991.

(c) The probability that at most two out of four randomly sampled 18 to 20 year old have consumed alcoholic beverages is 0.35.

(d) The probability that at least one out of four randomly sample 18 to 20 years has consumed alcoholic beverages is 0.99168.

The possibility of an event happening is defined by probability. We may need to forecast an event's result in a variety of real-world circumstances. The outcomes of an event may be certain or uncertain to us.

Given that 69.8% of people of 18-20 yr old consume alcohol.

Then p=0.698

Now let X is the random variable denoting the number of people who drinks alcohol.

(a) Let the sample size, n = 12, p = 0.698

It can be seen that X follows a binomial distribution

Then,

P(X=4) = ¹²C₄p⁴(1-p)⁸

= 495 × (0.698)⁴(1-0.698)⁸

=495 × 0.2373 × 0.00006919

= 0.008127

(b) P(X=8) = ¹²C₈p⁸(1-p)⁴

= 12!/ (8!)(4!)(0.698)⁸(1-0.698)⁴

=495 × 0.05634344 × 0.0083181

= 0.231991

(c) Let sample size n=4

p= 0.698

Then,

P(X≤2) = P(X=0)+P(X=1)+P(X=2)

= ⁴C₀p⁰(1-p)⁴ + ⁴C₁p¹(1-p)³ + ⁴C₂p²(1-p)²

=1 × 1× 0.0083181 + 4× 0.698 × 0.0275 + 6× 0.4872 × 0.091204

=0.3516881

=0.35

(d)

For P(X≥1)= 1-P(X<1)

=1-P(X=0)

=1-⁴C₀ p⁰(1-p)⁴

=1-1 × 1 × 0.0083181

= 0.99168

To know more about probability, visit:

brainly.com/question/28146099

#SPJ1

Let:

A be the number of pairs of Jeans Amina has.

I be the number of pairs of Jeans Idris has.

T be the total of pairs of Jeans.

Then,

A = 2

I = 3

Then, the equation that represents the total of pairs of jeans is:

Substituting the values we can find T:

Answer:

The equation is: T = A + I.

And the solution is T = 5.

Answer:

When a rate is simplified so that it has a denominator of 1, it is called a unit rate

Step-by-step explanation:

Hope it helps!

f (k ) =14 sin ( 1.1 k) + 24

The expressions with the appropriate quantity is f ( k) = - 14sin(1.1k



Answer:

10

Step-by-step explanation:

1234 / 34 = 1224

1234 - 1224 = 10

The remainder = 10

The answer is -83/2

Decimal Form: -41.5

Mixed Number Form: -41 1/2

Answer: 2.5

Step-by-step explanation:

The midpoint of the segment is the average of the coordinates.

[tex]\frac{0+5}{2}=2.5[/tex]