Use the bar graph to find the experimental probability of the event.

A bar graph, titled Spinning a spinner. Horizontal axis shows number spun. Vertical axis shows times spun. The first bar is labeled 1. It ends at 8. The second bar is labeled 2. It ends at 6. The third bar is labeled 3. It ends at 9. The fourth bar is labeled 4. It ends at 11. The fifth bar is labeled 5. It ends at 9. The sixth bar is labeled 6. It ends at 7.

The experimental probability of not spinning a 1 is

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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Answer:

\(\boxed {\boxed {\sf x=28}}\)

Step-by-step explanation:

This is a right triangle. The small square in the corner represents a 90 degree angle. We can use trigonometry. The three major ratios are:

The angle, or θ, is 60 degrees. The side measuring 14 is adjacent to this angle. x is the hypotenuse because it is opposite the right angle. Since we have the adjacent side and the hypotenuse, we use cosine.

\(cos (\theta) = \frac {adjacent}{hypotenuse}\)

\(cos(60)= \frac{14}{x}\)

Since we are solving x, we must isolate the variable. First, cross multiply.

\(\frac {cos(60)}{1}= \frac{14}{x}\)

Multiply the first numerator (cos60) by the second denominator (x).

Then, multiply the first denominator (1) by the second numerator (14)

\(cos (60)*x= 14*1\)

\(cos(60)*x= 14\)

The cosine of 60 is equal to 1/2,

\(\frac{1}{2} x= 14\)

x is being multiplied by 1/2. The inverse of multiplication is division. Divide both sides of the equation by 1/2. Since this is a fraction, you can also multiply by the reciprocal: 2.

\(2* \frac{1}{2} x= 14 *2\)

\(x=14 *2\\ x=28\)

The hypotenuse, x, is equal to 28.

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Answer:

16 is natural, whole, and an integer. Since it can also be written as the ratio 16:1 or the fraction 16/1

Step-by-step explanation:

Answer:

170 cm³

Step-by-step explanation:

V = πr²h

= 3.14 * (3)² * 6

= 3.14 * 9 * 6

= 169.56 cm³

= 170 cm³

The points on the scatter plot show the different predictions. The straight line drawn is called the line of regression.

Errors in prediction for each point can be determined by drawing a vertical line from the point to the line of regression. As seen in the image, all of the prediction points are found on the line except for points (14,25) and (16,25). Therefore, these points contain errors in prediction.

The graph that represent this data using the points is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The x and y values

Where

x = stars

y = price

To determine the graph that represent the data, we enter the x and y values in a graphing tool to create the graph

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Answer:

sale price is $104

Step-by-step explanation:

Answer:

$104.00

Step-by-step explanation:

So we know that in the equation:

S = P - 0.20P

P is the original price and S is the sale price, which is also the original price reduced by 20%.

We are also given that the original price of a digital media player is $130.00.

We are asked to find the sales price of that digital media player. To do this, we can plug in $130.00 for P in the given equation, since it is the original price of the digital media player, and solve for S, the sales price:

S = 130 - (0.20)(130)

S = 130 - 26

S = 104

So now we found the sales price of the digital media player, which is $104.00.

I hope you find my answer helpful.

Answer:r=2 cos^4(theta)

Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.

First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:

r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.

Next, we can take the derivative of r with respect to theta, using the chain rule:

dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).

Setting this equal to zero and factoring out sin(2theta), we get:

sin(2theta)(-1 - 2cos(2theta)) = 0.

This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.

When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.

When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.

These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).

Answer:

5

Step-by-step explanation:

As given  

  1/sqrt2=x/5sqrt2

5sqrt2/sqrt2=x                Both sqrt will get cancelled

5=x

In order to hit the UFO, the Anti Aircraft gun should be set an an angle of elevation of approximately 63.435° above the horizontal in the direction of the UFO

An angle of elevation is an angle that the line of sight makes with the horizontal.

The location of the UFO are;

The angle, θ, to which the anti aircraft gun needs to be set is found from the trigonometric ratio for tangent as follows.

\(tan(\theta) = \dfrac{Length \, of \, the \, side \, opposite \, to \, angle \, \theta}{Length \, of \, the \, side \, adjacent \, to \, \theta}\)

The length of the side opposite to the angle θ to which the gun should be directed is the length of the height of the UFO from the observer, therefore;

Length of the side opposite to θ = 100 feet

Length of the side adjacent to θ is the length of the horizontal distance from the observer;

Length of the adjacent side to θ = 50 feet

Therefore;

\(tan(\theta) = \dfrac{100\, feet}{50\, feet} = 2\)

tan(θ) = 2

θ is found using the inverse tangent function (arctangent) as follows;

θ = arctan(2) ≈ 63.435°

The direction the anti aircraft un should be set is at angle of elevation of approximately 63.435° above the horizontal

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Given:

The points A(-3, 3), B(0, 7), C(4, 10), D(1, 6) create parallelogram ABCD.

To find:

The perimeter of parallelogram ABCD.

Solution:

Distance formula is

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using distance formula, find the side length of parallelogram.

\(AB=\sqrt{(0-(-3))^2+(7-3)^2}\)

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

\(AB=\sqrt{9+16}\)

\(AB=\sqrt{25}\)

\(AB=5\)

Similarly,

\(BC=\sqrt{\left(4-0\right)^2+\left(10-7\right)^2}=5\)

\(CD=\sqrt{\left(1-4\right)^2+\left(6-10\right)^2}=5\)

\(AD=\sqrt{\left(1-\left(-3\right)\right)^2+\left(6-3\right)^2}=5\)

Now,

Perimeter of ABCD is

\(P=AB+BC+CD+AD\)

\(P=5+5+5+5\)

\(P=20\)

Therefore, the perimeter of parallelogram ABCD is 20 units.

Answer:

Step-by-step explanation: true

Answer:

It can be written as 0.25 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Answer:

It is already in the simplest form, but you can convert It into many things.

Step-by-step explanation:

Make this into an improper fraction you: 1 x 4 + 1 then put the answer on the numerator and keep the denominator.

Mixed number = 5/4

Decimal = 1.25

because 1/4 = 0.25

and 1 is a whole number.

Step-by-step explanation:

the whole solution is in the picture

Answer:

Graph A

Step-by-step explanation:

Becuase if we rewrite it in slope-intercept form then we get y=3/4x-13/2

Answer:

n+8+n-12=

simplyfiy=2n+20

Step-by-step explanation:

Ya'll just have to simplify the expression and add the like terms together. hope I helped

Answer:

2x^7

Step-by-step explanation:

add the exponents because they both are x

2x^4*x^3=2x^7

The total centimeters that the plants grew in all was 200 centimeters or 2.00 centimeters when written as a decimal.

Centimetres (cm) is a unit of length in the metric system, equal to one-hundredth of a metre. It is commonly used in everyday life, for example when measuring the height of a person or the size of a room. Centimetres are also used in scientific and engineering measurements, such as the size of an object or the distance between two points. Centimetres are divided into millimetres, which are one-thousandth of a metre.

This can be written as a decimal as 2.00 centimeters.

To determine the total centimeters, we simply add the individual centimeter measurements of the two plants.

Daysha's plant grew 100 centimeters and India's plant grew 100 centimeters.

Therefore, the total centimeters that the plants grew in all was 200 centimeters, or 2.00 centimeters when written as a decimal.

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9514 1404 393

Answer:

  (a) 3%

Step-by-step explanation:

Nathan's actual mileage was ...

  (2882 mi)/(131 gal) = 22.0 mi/gal

The error can be computed from ...

  error % = (predicted/actual -1) × 100% = (22.6/22 -1) × 100% ≈ 2.73%

Nathan's prediction was high by about 3%.

Answer:

C: EAF Is the correct answer

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.

given

Put this together using the conditions given: 319.14 / (1- 19%)

Determine the total or difference: 319.14 / 0.81

Diminish the fraction: 394

Response: 394

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

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Answer:

7.96 × 10⁸ kg

Step-by-step explanation:

Step 1: Given data

Step 2: Determine how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower

To determine this ratio, we need to do the following subtraction.

mG - mE = 8.05 × 10⁸ kg - 9.16 × 10⁶ kg = 7.96 × 10⁸ kg

The Golden Gate Bridge has approximately 7.96 × 10⁸ kg more than the Eiffel Tower.

The solution set of f(x) > 0 is x ∈ (-2, 8).

To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.

Let's start by finding the domain of the function:

x² - 6x - 16 ≠ 0

We can solve for x by using the quadratic formula:

x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13

So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).

Now let's factor the numerator and denominator of f(x):

f(x) = (x + 10)/[(x - 8)(x + 2)]

The critical points occur where the numerator or denominator of f(x) changes sign.

The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.

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Answer: 48 more monthly payments

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

beacuse 180-68=112