Mr. Edwards purchased 3 bags of potatoes. He bought 36 potatoes in all. Each bag contains the same number of potatoes. How many potatoes are in each bag?

Answer: 0.7 i believe not sure

Step-by-step explanation:

a. The probability that you win on none of your 5 plays is approximately 0.6634. b. The probability that you win 3 or more of your 5 plays of this game is approximately 0.004497.

To solve these problems, we'll use the binomial probability formula.

a. The probability of winning in any one play is 0.08, so the probability of losing in any one play is 1 - 0.08 = 0.92.

The probability of winning on none of your 5 plays can be calculated as the probability of losing on each play, which is 0.92, raised to the power of the number of plays.

P(losing all 5 plays) = (0.92)^5 = 0.6634 (rounded to four decimal places)

Therefore, the probability that you win on none of your 5 plays is approximately 0.6634.

b. To find the probability of winning 3 or more of your 5 plays, we need to calculate the probability of winning 3, 4, or 5 plays and sum them up.

P(winning 3 or more plays) = P(winning 3 plays) + P(winning 4 plays) + P(winning all 5 plays)

P(winning 3 plays) = C(5, 3) *\((0.08)^3 * (0.92)^2\)

                  = 10 * 0.000512 * 0.8464

                  ≈ 0.00434 (rounded to five decimal places)

P(winning 4 plays) = \(C(5, 4) * (0.08)^4 * (0.92)^1\)

                  = 5 * 0.000032768 * 0.92

                  ≈ 0.000151 (rounded to six decimal places)

P(winning all 5 plays) = \((0.08)^5\)

                     ≈ 0.000006 (rounded to six decimal places)

Now we can sum up these probabilities:

P(winning 3 or more plays) ≈ 0.00434 + 0.000151 + 0.000006

                          ≈ 0.004497 (rounded to six decimal places)

Therefore, the probability that you win 3 or more of your 5 plays of this game is approximately 0.004497.

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Answer:

1/2(8x-6)=-1/3(9x-12)

We move all terms to the left:

1/2(8x-6)-(-1/3(9x-12))=0

Domain of the equation: 2(8x-6)!=0

x∈R

Domain of the equation: 3(9x-12))!=0

x∈R

We calculate fractions

(3x9/(2(8x-6)*3(9x-12)))+(-(-2x8)/(2(8x-6)*3(9x-12)))=0

We calculate terms in parentheses: +(3x9/(2(8x-6)*3(9x-12))), so:

3x9/(2(8x-6)*3(9x-12))

We multiply all the terms by the denominator

3x9

We add all the numbers together, and all the variables

3x^9

We do not support expression: x^9    

I would appreaciate   if i got brainliest  

So

Check option D

Total

Option D is correct

Answer:

9

15

24

33

Step-by-step explanation:

I hope this right

The angle that a side of 15 inches makes with the 6-inch side is approximately 78.46 degrees.

c²= a² + b² - 2ab cos(C)

In this case, we know that the lengths of the two congruent sides are both 15 inches, and the length of the remaining side is 6 inches. So we have:

15² = 6² + 15² - 2(6)(15)cos(x)

225 = 261 - 180cos(x)

180cos(x) = 36

cos(x) =\(\frac{36}{180}\)

cos(x) = 0.2

Now we can use the inverse cosine function (\(cos^{-1}\)) to find the value of "x" in degrees:

x = \(cos^{-1}\)(0.2)

x ≈ 78.46 degrees

An angle is a geometric figure formed by two rays with a common endpoint, called the vertex. The rays are known as the sides of the angle. The measure of an angle is usually expressed in degrees, and it represents the amount of rotation needed to rotate one of the sides of the angle onto the other. A full rotation around a point is 360 degrees, so an angle measuring 180 degrees is called a straight angle.

Angles can be classified according to their measure. An acute angle is an angle measuring less than 90 degrees. A right angle is an angle measuring exactly 90 degrees. An obtuse angle measures more than 90 degrees but less than 180 degrees. A reflex angle measures more than 180 degrees but less than 360 degrees.

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Answer:

Your answer is <PBD = 56

Step-by-step explanation:

That red square indicate that its a right triangle meaning that <PBH is 90°

Those two angle <PBD and <DBH are complementary angle meaning that those two angle add up to 90°

So,

<PBD + <DBH = 90°

(3k + 65°) + 34 = 90

3k + 65 + 34 = 90

3k = -9

k = -3

Plug in k = -3 in <PBD to solve for the measure angle.

<PBD = (3k + 65°) ; k = -3

<PBD = 3(-3) + 65

<PBD = -9 + 65

<PBD = 56

Answer:

C

Step-by-step explanation:

Answer:

(a/b)*(b/a)=1.

Step-by-step explanation:

Answer:

Concept: Linear Systems

Answer:

the answer is A

Step-by-step explanation:

if u see, to get Y2 on its own u have to first multiply x2-x1 on both sides

m(x2-x1)=y2-y1

and then to get Y2 alone u need to add Y1 to both sides

m(x2-x1)+y1=y2

The following equations is equivalent to the slope formula A.

We have given that,

consider the formula for slope between two coordinate points, m, shown below.

\(m=y_2-y_1/x_2-x_1\)

\(m=y_2-y_1/x_2-x_1\)

Where m is the slope and \(y_1\) and \(y_2\) and \(x_1\) and \(x_2\) are coordinates of the axis.

if u see, to get \(Y_2\) on its own u have to first multiply \(x_2-x_1\) on both sides

\(m(x_2-x_1)=y_2-y_1\)

and then to get Y2 alone u need to add Y1 to both sides

\(m(x_2-x_1)+y_1=y_2\)

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The expression that can be added to both sides of the given quadratic equation to change it to a perfect square trinomial is \(\frac{b^2}{4a^2}\) .

The standard form of perfect square trinomial is given as:

\(ax^2 + bx + c\)

here,

a = coefficient of x² .

b = coefficient of x.

c = constant .

Given the quadratic equation:

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The above equation is needed to be changed to a perfect square trinomial.

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore, the term to be that is needed to be added to the given quadratic equation is \(\frac{b^2}{4a^2}\) .

Now, the quadratic equation can be written as:

\(x^{2} + \frac{b}{a} x + \frac{ b^{2}}{4a^{2}} = \frac{-c}{a} + \frac{ b^{2}}{4a^{2}}\)

Therefore, \(\dfrac{b^2}{4a^2}\) should be added to both sides to convert it into the perfect polynomial.

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The given question is incomplete. Probably the complete question is:

When deriving the quadratic formula by completing the square what expression can be added to both sides of the given equation to create a perfect square trinomial?

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

Answer:

yes, no, yes, no

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes, No, Yes, No. Hope this helps!

The amount of the investment at the end of 12 years for the following compounding methods when $400 is invested at an interest rate of 5.5% per year will be as follows:

Annual compounding Interest = 5.5%

Investment = $400

Time = 12 years

The formula for annual compounding is,A = P(1 + r / n)^(n * t)  

Where,P = $400

r = 5.5%

= 0.055

n = 1

t = 12 years

Substituting the values in the formula,

A = 400(1 + 0.055 / 1)^(1 * 12)  

A = 400(1.055)^12  

A = $812.85  

Hence, the amount of the investment at the end of 12 years for the annual compounding method will be $812.85.

Rate = 5.5%

Compound Interest = 400 * (1 + 0.055)^12

= $813 (rounded to the nearest cent).  

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The answer is (C) 28.26 ft²

To solve the problem, we need to find the radius of the circle, which is half of the length of the segment through the center. Since the length of the segment is 6 feet, the radius is 6/2 = 3 feet.

The area of a circle is given by the formula A = πr², where r is the radius. Substituting the value of the radius, we get:

A = π(3)² = 9π ≈ 28.26 square feet

Rounding to two decimal places, the approximate area of the circle is 28.26 ft^2.

Therefore, the answer is (C) 28.26 ft²

The area of a circle is the amount of space inside the boundary of a circle. It is defined as the product of the square of the radius (r) and the constant pi (π), which is approximately 3.14. The formula for the area of a circle is:

Area = πr^2

Where r is the radius of the circle. The radius is the distance from the center of the circle to any point on the circle's circumference.

The formula shows that the area of a circle is proportional to the square of its radius. This means that if the radius is doubled, the area of the circle will be quadrupled, and if the radius is halved, the area will be reduced to one-fourth.

The area of a circle is often used in geometry and other areas of mathematics, as well as in real-life applications such as calculating the area of a circular garden, a circular swimming pool, or the surface area of a cylinder or sphere.

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Answer:

See below.

Step-by-step explanation:

\(\frac{6z^2-12z}{4z^2-16z+16} +\frac{3z}{z^2-z-2} \\\\\)

First, factor the numerators and the denominators:

\(=\frac{6z(z-2)}{4(z^2-4x+4)}+\frac{3z}{z^2-z-2}\\=\frac{6z(z-2)}{4(z-2)^2}+\frac{3z}{(z-2)(z+1)}\\=\frac{3z}{2(z-2)}+\frac{3z}{(z-2)(z+1)}\)

Now, make the two denominators equivalent. To do this, we can multiply the first term by (z+1) and multiply the second term by 2. This will give us:

\((\frac{z+1}{z+1} )(\frac{3z}{2(z-2)})+(\frac{2}{2})(\frac{3z}{(z-2)(z+1)})\\=\frac{3z(z+1)}{2(z-2)(z+1)}+\frac{6z}{2(z-2)(z+1)} \\\)

Now, combine them since they have a common denominator:

\(=\frac{3z^2+3z+6z}{2(z-2)(z+1)}\\ =\frac{3z^2+9z}{2(z-2)(z+1)} \\=\frac{3z(z+3)}{2(z-2)(z+1)}\)

This cannot be simplified further.

Answer:

0,3,6, and 30

Step-by-step explanation:

(c)There is a weak negative linear association between the explanatory variable and the response variable (c).

Look at the scatterplot and examine the general pattern of the points.Notice that as the explanatory variable (x-axis) increases, the response variable (y-axis) generally decreases.

However, the points are not tightly clustered around a straight line, indicating a weak association.Additionally, the negative slope suggests that as one variable increases, the other tends to decrease.

Therefore, the correct answer is a weak negative linear association between the explanatory variable and the response variable.

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Answer:

x=36°

y=144°

Step-by-step explanation:

y is the corresponding angle of angle 144° and since corresponding angles are always congruent y=144°

x is the same side interior angle of angle 144° and since same side interior angles are also supplementary angles that add up to 180° x=36°

180°-144°=36°

hopefully this helps :)

x=6.928 if rounded to the nearest thousandth

I posted a picture of my work to find this answer

Hope this Helped

Answer:

y = 3x +b

Step-by-step explanation:

where is your b you need to have a b to have your answer

Answer:

Length = 16 in

Width = 12 in

Step-by-step explanation:

Given:

Area of a rectangle = 192 in²

Ratio(length to width) = 4:3

Find:

Length and the width

Computation:

Ratio(length to width) = 4:3

So,

Length = 4a

Width = 3a

Area of a rectangle = Length x Width

192 = 4a x 3a

192 = 12a²

a² = 16

a = 4

Length = 4a = 4 x 4 = 16 in

Width = 3a = 3 x 4 = 12 in

Problem 5

Answer: Yes the points are coplanar

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

Explanation:

Note how all four points are in the same plane, aka face, along the top of the 3D block. The term "coplanar" simply means "all in the same plane", so that's why the points are coplanar.

In contrast, the set of points {H,J,K,Z} are not all coplanar because H,J,K are in the top plane, while Z is not.

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Problem 6

Answer: line segments WX, XY, and XK

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

Explanation:

All three lines mentioned above involve the letter X in some fashion. The order doesn't matter. Also, those lines intersect at the common point X.

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Problem 7

Answer: point W

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

Explanation:

The plane WXYZ is the bottom face, in which we can think of as the floor of the building. The segment HW is from the floor and goes up vertically. We can consider this to be like a pole beam of the structure. The plane and segment both have point W in common. Note that the letter "W" is found in the sequences WXYZ and HW, and it's the only common letter.

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Problem 8

Answer: The points are not collinear

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

Explanation:

To be collinear, the points must all be on the same straight line. We see that isn't the case with points W, X and Y.

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Problem 9

I'm not entirely sure what your teacher is asking here, so I would ask for a second opinion.

Average Speed is 23/32 laps per minute.

In the given statement is:

Carlos jogged 5 3/4 laps around the school track in 8 minutes.

What is Average speed?

Average Speed is calculated by dividing the total distance travelled by the time interval. For example, Someone who takes 40 minutes to drive 20 miles north and then 20 miles south (to end up at the same place), has an average speed of 40 miles divided by 40 minutes, or 1 mile per minute (60 mph)

Now, According to the Question:

5 3/4laps = 23/4 laps

23/4 ÷8

=23/4 × 1/8

=23/32

So, 23/32 laps per minute

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Question 13.

The estimated monthly cost of an energy-efficient refrigerator is $57, meaning the yearly cost is

Question 14.

The least energy-efficient refrigerator costs $72 per month, meaning the annual cost is

Therefore, the amount you will save on an energy-efficient refrigerator be

Hence, the amount saved on an energy-efficient refrigerator will be $180.

Answer:

Step-by-step explanation:

\(y=\frac12(x+4)(x-2)\quad\implies\quad x_1=-4\,,\ \ x_2=2\)

vertex is (p, q) where:

\(p=\dfrac{x_1+x_2}2=\dfrac{-4+2}2=\dfrac{-2}2=-1\\\\q=f(p)=\frac12(-1+4)(-1-2)=\frac12(3)(-3)=-\frac92=-4.5\)

So the vertex is: (-1, -4.5)

Answer:

t is less than or equal to -2