3) In a paddling pool there are 30 floating ducks. Each duck is marked with a number on the underside. 15 are marked with the number 1, 9 are marked with the number 2 and 6 are marked with number 3. There are prizes for those who pick a duck with the number 3 on it. What is the probability of Molly picking a duck with the number 3 on it? Give your answer as a fraction in its lowest terms.

Answer:

(A) No solution

(B) One solution

(C) One solution

(D) One solution

(E) No solution

Please tell me if this is incorrect. I hope this helps!

Answer:

start with -29, multiply each term by 4

start with 60, multiply each term by 0.1

start with 97 and multiply each term by 0.5

3.03 cells

Step-by-step explanation:

1. The first sequence begins with -29. -116 ÷ -29 = 4, -464 ÷ -116 = 4, etc. Each value is multiplied by 4 to get the next value.

2. The second sequence begins with 60. 6 ÷ 60 = 0.1, 0.6 ÷ 6 = 0.1, etc. Each value is multiplied by 0.1 to get the next value.

3. The colony starts with 97 cells. Splitting into two is the same as multiplying by 0.5.

4. Multiply 97 by 0.5, 5 times for 5 minutes.

97 · 0.5 · 0.5 · 0.5 · 0.5 · 0.5 = 3.03

Answer:

[tex]x = 4 - \frac{4}{3}y[/tex]

Step-by-step explanation:

If we have the equation [tex]3x = 12-4y[/tex], we can simplify this equation down.

Divide both sides by 3:

[tex]x = 4 - \frac{4}{3}y[/tex] .

Hope this helped!

Answer:

X = 4 minus four-thirds y

Step-by-step explanation:

Well to solve for x we single it out.

3x = 12 - 4y

Divide 3 by everything,

x = 4 - 4/3y

Thus,

X = 4 minus four-thirds y.

I do hope this helps :)

Answer:

The correct option is;

Because ∠MNL and ∠ONP are congruent angles

Step-by-step explanation:

From the diagram shown in the question, ∠MNL and ∠ONP are vertically opposite angles as they are formed by crossing of the lines LP and MO making them congruent, that is ∠MNL ≅ ∠ONP

Given that two angle of triangle LMN are congruent to two angles of triangle PON , then by the Angle Angle (AA) rule of similarity, triangle LMN and PON are similar.

The information in the diagram enough to determine that △LMN ~ △PON because∠MNL and ∠ONP are congruent angles.

These are referred to angles which have an equal measure. From the diagram ,vertically opposite angles are formed by crossing of the lines LP and MO thus,we can deduce that ∠MNL and ∠ONP are congruent angles.

This means that there is enough information to determine that △LMN ~ △PON using a rotation about point N and a dilation.

Read more about Congruent angles here https://brainly.com/question/1563325

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Answer:

Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle. The inscribed angle's arc measures 36%, and the central angle's arc measure 72%

Answer:

75

%Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle.

Answer:

8

Step-by-step explanation:

Let's denote the number of members ordered chicken a, the number of members ordered beef b.

We have:

a + b = 12 (total number of members is 12)

10a + 14b = 136 (the chicken costs 10$, the beef costs 14$)

a + b = 12 => a = 12 - b

Substitute a into second equation, we have:

10(12 - b) + 14b = 136

=> 120 - 10b + 14b = 136

=> 4b = 16

=> b = 4

=> a = 12 - b = 12 - 4 = 8

=> Number of members ordered chicken: a = 8

Answer:

The 4 packages of 15 tops for $18 is a better deal

Step-by-step explanation:

We can see which set of tops have the lowest unit price.

4 packages of 15 tops for $18:

4*15=60

There is a total of 60 tops for $18, which means each top costs 18/60 dollars, or $0.30.

5 packages of 10 tops for $16

5*10=50

There is a total of 50 tops for $16, which means that each top costs 16/50 dollars, or $0.32.

0.32>0.3

The 4 packages of 15 tops for $18 is a better deal :)

Have a great day

Answer:

A 95% confidence interval for the population average debt load of graduating students with a bachelor's degree is [$17,022.05, $20,577.94].

Step-by-step explanation:

We are given that a random sample of 28 students had an average debt load of $18,800. It is believed that the population standard deviation for student debt load is $4800. The α is set to 0.05.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                             P.Q.  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample average debt load = $18,800

            [tex]\sigma[/tex] = population standard deviation = $4,800

            n = sample of students = 28

            [tex]\mu[/tex] = population average debt load

Here for constructing a 95% confidence interval we have used a One-sample z-test statistics because we know about population standard deviation.

So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 5% level of

                                                      significance are -1.96 & 1.96}  

P(-1.96 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 1.96) = 0.95

P( [tex]-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]

                        = [ [tex]\$18,800-1.96 \times {\frac{\$4,800}{\sqrt{28} } }[/tex] , [tex]\$18,800+1.96 \times {\frac{\$4,800}{\sqrt{28} } }[/tex] ]

                        = [$17,022.05, $20,577.94]

Therefore, a 95% confidence interval for the population average debt load of graduating students with a bachelor's degree is [$17,022.05, $20,577.94].

38 42 34 54

Step-by-step explanation:

7have the best mayonnaise bianco babi naive albino pig is this real or not be a posible and I am a great day for 53feet

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]

Required

Why is the function not continuous at x = 3

First substitute 3 for x at the denominator

[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]

Factorize the numerator and the denominator

[tex]f(x) = \frac{x^2 - 3x+2x -6}{x^2 - 3^2}[/tex]

[tex]f(x) = \frac{x(x - 3)+2(x -3)}{(x - 3)(x+3)}[/tex]

[tex]f(x) = \frac{(x+2)(x - 3)}{(x - 3)(x+3)}[/tex]

Divide the numerator and denominator by (x - 3)

[tex]f(x) = \frac{x+2}{x+3}[/tex]

Substitute 3 for x

[tex]f(3) = \frac{3+2}{3+3}[/tex]

[tex]f(3) = \frac{5}{6}[/tex]

Because [tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex] is defined when x = 3;

Then the function is continuous

Answer:

A: f is not defined at x = -3

Step-by-step explanation: EDGE 2020

Answer:

v=√E/m or v=√E /√m

Step-by-step explanation:

Complete question below:

The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of

the object.

E = mv^2

Solve the formula for v.​

Solution

E=mv^2

Where,

E=kinetic energy

m=mass

v=speed of the object

E=mv^2

Divide both sides by m

E/m=mv^2/m

E/m=v^2

It can be rewritten as

v^2=E/m

Square root both sides

√(v^2)=√E/m

v=√E/m

Or

v=√E/√m

This is to say speed (v)=square root of kinetic energy (E) Over masa(m)

Answer:

y = 2x + 4

Step-by-step explanation:

y = mx + b

b = y-intercept = 4

m = slope = rise/run = 4/2 = 2

y = 2x + 4

Answer: Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

We must work with linear equations, remember that the general shape is:

y = a*x + b

where a is the slope and b is the y-intercept.

Ok, first we want to find the rate of change (or the slope) of the graphed line:

We know that for a line that passes through the points (x1, y1) and (x2, y2)

The slope is:

a = (y2 - y1)/(x2 - x1)

Then for the graphed function, we can see that it passes through the points:

(0, -2) and (4, 0)

Then the slope is:

a = (0 -(-2))/(4 - 0) = 2/4 = 1/2

Now, the slope of the second line is 15/4.

Let's calculate the difference between the slopes:

15/4 - 1/2 = 15/4 - 2/4 = 13/4

(notice that we are calculating slope2 - slope1)

Then the correct option is:

Function 2 has a greater rate of change by 13/4

Answer:

B) Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

Answer:

A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2

Step-by-step explanation:

The equation of the given line is 8·x - 4·y = 12

Which gives;

8·x- 12= 4·y

y = 2·x - 3

Given that the line passes through the points (0, -3) and (1, -1), we have;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

When (x₁, y₁) = (0. -3) and (x₂, y₂) = (1, -1), we have;

[tex]Slope, \, m =\dfrac{(-1)-(-3)}{1-(0)} = 2[/tex]

y - (-3) = 2×(x - 0)

y = 2·x - 3 which is the equation of the given line

For the lines 8·x - 4·y = 12, which is the sane as y = 2·x - 3 and the line y = m·x  - 6 to have no solution, the slope of the two lines should be equal that is m = 2

Given that the line passes through the point (1.5, 0), we have;

y - 0 = 2×(x - 1.5)  

y = 2·x - 3...................(1)

For the equation, y = m·x  - 6, when m = 2, we have;

y = 2·x  - 6..................(2)

Solving equations (1) and (2) gives;

2·x - 3 = 2·x  - 6, which gives;

2·x - 2·x=  - 3 - 6

0 = 9

Therefore, a system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2.

Answer:

short answer is 2 or d

Step-by-step explanation:

Answer:

32 remainder 2

Step-by-step explanation:

To divide 162 by 5, we simply do the following:

5 goes into 16 => 3

Multiply 5 by 3 => 3 × 5 = 15

Subtract 15 from 16 => 16 – 15 = 1

Put the 1 before 2 => 12

5 goes into 12 => 2

Multiply 5 by 2 => 5 × 2 = 10

Subtract 10 from 12 => 12 – 10 => 2

In summary,

162 divided by 5 => 32 remainder 2

Please see attached photo for further details.

Answer:

Step-by-step explanation:

From the diagram, mAD lies on the line BDF. Sum of angle on a straight line is 180°. According to the line BDF; mAB + mAD = 180°

From the diagram, mAB = 43°. Substituting this value into the above equation;

mAB + mAD = 180°

43° + mAD = 180°

mAD = 180°-43°

mAD = 137°

Hence, the measure of angle mAD is 137°

Inequalities are used to show unequal expressions; in other words, it is the opposite of equalities.

The inequality that represents the scenario is, [tex]18 + 0.08B \ge 75[/tex] and the smallest number of balls Carolina can buy is 713

Given that:

[tex]Entrance\ Fee = \$18[/tex]

[tex]Rate = \$0.08[/tex] per ball

Let:

[tex]B \to Balls[/tex]

The amount (A) Carolina can spend on B balls is:

A = Entrance Fee + Rate * B

This gives:

[tex]A = 18 + 0.08 * B[/tex]

[tex]A = 18 + 0.08B[/tex]

To get $10, Carolina must spend $75 or more.

This means:

[tex]A \ge 75[/tex]

So, the inequality is:

[tex]18 + 0.08B \ge 75[/tex]

The smallest number of balls is calculated as follows:

[tex]18 + 0.08B \ge 75[/tex]

Collect like terms

[tex]0.08B \ge 75 - 18[/tex]

[tex]0.08B \ge 57[/tex]

Divide both sides by 0.08

[tex]B \ge 712.5[/tex]

Round up

[tex]B \ge 713[/tex]

Hence, the inequality is [tex]18 + 0.08B \ge 75[/tex] and the smallest number of balls is 713

Learn more about inequalities at:

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Using a linear function, it is found that:

-----------

The linear function for the cost of B paintballs has the following format:

[tex]C(B) = C(0) + aB[/tex]

In which

-----------

Question 1:

Thus:

[tex]C(B) = 18 + 0.08B[/tex]

[tex]C(B) \geq 75[/tex]

[tex]18 + 0.08B \geq 75[/tex], given by option B.

-----------

Question 2:

[tex]18 + 0.08B \geq 75[/tex]

[tex]0.08B \geq 57[/tex]

[tex]B \geq \frac{57}{0.08}[/tex]

[tex]B \geq 712.5[/tex]

Rounding up, she has to buy at least 713 paintballs.

A similar problem is given at https://brainly.com/question/24583430

Answer:

A

Step-by-step explanation:

Here in this question, we want to select which of the options particularly represents what was given in the question.

Mathematically 10^4 means that we are raising 10 into a continued exponential raising up to 4 times.

So 10^4 is pronounced as the first option in the question.

10 raised to power 10 , raised to power 10 etc

Answer:

The last option

Step-by-step explanation:

Source: Trust bro

Answer:

d) y sqrt 5

Step-by-step explanation:

radicals are like if they have the same index and radicand, here they are both square roots and have a radicand of five

Answer:

a positive 1; negative 3 or 1

Step-by-step explanation:

To determine the number of positive roots, we have to determine the number of sign changes for f(x) = x⁴ + 2x³ - 3x² - 8x - 4.

The coefficients in f(x) are +1, +2, -3, -8, -4.

Since there is only one sign change from +2 to -3, we have 1 positive root.

To determine the number of negative roots, we have to determine the number of sign changes for f(-x) = (-x)⁴ + 2(-x)³ - 3(-x)² - 8(-x) - 4 = x⁴ - 2x³ - 3x² + 8x - 4

The coefficients in f(-x) are +1, -2, -3, +8, -4.

Since there is three sign change from +1 to -2, from -3 to +8, and from +8 to -4. So,we have 3 or 1 negative root, since the number of negative roots is equal to the number of sign changes or an even number less than the number of sign changes. So, 3 -2 = 1

So, the number roots are of positive 1; negative 3 or 1

Answer:

a.positive 1; negative 3 or 1

Step-by-step explanation:

EDGE 2020

Answer:

x=-5

Step-by-step explanation:

The answer is x = -5. The explanation and answer is in the image below.

Answer:

1and1/2yrs ago

Step-by-step explanation:

price dis year= 56545

reduction per year= 11309

...number of years ago = 73810-56545=17265

and is about 20% of annual deductions

so if 56545 +20% + 1/2 20% = 1nd1/2 yrs

Answer:

x = -8

Step-by-step explanation:

6x - 3 = -51

Add 3 to each side

6x - 3+3 = -51+3

6x = -48

Divide each side by 6

6x/6 = -48/6

x = -8

Answer:

The center is (2,8)

Step-by-step explanation:

The equation of a circle is written as

(x-h)^2+ (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-2)^2+(y-8)^2=33

The center is (2,8) and the radius is sqrt(33)

Solve each equation with (0, 3)

y = -x + 3

3 = -0 + 3

y = 3 (correct since y = 3 in (0, 3))

y = 2x - 3

3 = 2(0) - 3

3 = 0 - 3

3 = -3 (incorrect since it isn't equal)

So... No, because it does not check in the second equation.

Best of Luck!

Answer:

[tex]\boxed{\sf 27 \ and \ 29}[/tex]

Step-by-step explanation:

Let the first consecutive odd integer be [tex]\sf x[/tex].

Let the second consecutive odd integer be [tex]\sf x+2[/tex].

The sum of the two numbers is 56.

[tex]\sf x+x+2=56[/tex]

[tex]\sf 2x+2=56[/tex]

[tex]\sf 2x=54[/tex]

[tex]\sf x=27[/tex]

Put x as 27 for the second consecutive odd integer.

[tex]\sf 27+2=29[/tex]

The two numbers are 27 and 29.

The equation is -1/5x-4 represented by the graph. The correct option is B.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Let us check the equation -1/5x-4. The line goes down one and turns right 5. The Slope is -1/5x and the y-intercept is at -4. The graph of the equation is attached with the answer below.

Hence, option B is correct.

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Answer:

Answer:

1) true

2) false

hope it worked

and pls mark me as BRAINLIEST

answer

-6r+-11=-37

-6r=-37+11

-6r=-48

r=8