40 POINTS
ASAP PLEASE HELP

Which experimental result best matches the theoretical probability of the event?

A.
Liza has an 8-sided number solid that is numbered 1 through 8. She rolls it 56 times and records her results. The results show that an even number was rolled 14 times.
B.
Mia has a bag that contains a letter block for each of the 26 letters of the alphabet. She draws a letter block from the bag, writes down the letter, and puts the block back in the bag. She repeats this 26 times. The results show that she drew a vowel (A, E, I, O, or U) 6 times.
C.
Sarah spins a spinner with 6 equal-sized sections of different colors and records the color on which the spinner lands. She repeats this 24 times. The results show that the spinner landed on red 10 times.
D.
Charlie draws a number tile from a box containing the numbers 1 to 10, writes down the number, and puts the tile back in the box. He repeats this 40 times. The results show that the number 5 was drawn 10 times.

Answer:

215

Step-by-step explanation:

I did it on a paper ")

Answer:

43

Step-by-step explanation:

the coordinates are (0,0),(1,43),(2,86),(3,129) and so on

the proportionality is y=43x

Constant of proportionality in y=kx is k

In y=43x, constant of proportionality k is 43

False. Analysts should definitely worry about the users' perceptions of the new system during acceptance testing. Acceptance testing is the final stage of software development where the system is tested by end-users to ensure that it meets the specified requirements and is ready for deployment.

During acceptance testing, analysts need to ensure that users find the system easy to use, efficient, and effective in performing the intended tasks. If the users perceive the system to be difficult to use or inefficient, it can lead to user resistance, decreased productivity, and increased costs. Therefore, analysts need to gather feedback from users during acceptance testing and make necessary adjustments to ensure that the system meets the user's expectations. By doing so, analysts can ensure a successful deployment and adoption of the new system.

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The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

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If the slopes are equal, we can conclude that the segment joining the midpoints of two sides of a triangle is parallel to the third side.

To prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side, we can follow these steps:

Assign (x, y) coordinates to points A, B, and C: Let's assume that point A has coordinates (x1, y1), point B has coordinates (x2, y2), and point C has coordinates (x3, y3).

Calculate the coordinates of the midpoints: The midpoint of AB, denoted as M, can be calculated as ((x1 + x2)/2, (y1 + y2)/2), and the midpoint of AC, denoted as N, can be calculated as ((x1 + x3)/2, (y1 + y3)/2).

Calculate the slope of MN: The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1)/(x2 - x1). So, the slope of MN is ((y1 + y3)/2 - y1)/((x1 + x3)/2 - x1).

Calculate the slope of AB: Similarly, the slope of AB is (y2 - y1)/(x2 - x1).

Show that the slopes are equal: Compare the slope of MN with the slope of AB. Simplify the expressions and check if they are equal. If the slopes are equal, it means that the segment joining the midpoints is parallel to the third side of the triangle.

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The angle that is included by line AB and line AC is called:

B. <A.

An angle is simply described as a corner formed at a vertex where two lines or rays meet each other.

An included angle is an angle that is bordered by two sides in a triangle or polygon. That is, the two sides of the triangle forms the said angle in question.

In the image given, Line AB meets with line AC at point A. Vertex A can be said to be the angle formed by both lines, therefore, the angle that is included is called: B. <A.

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The volumes of the given figures are:

First, let's take the half-sphere.

The volume of half a sphere of radius R is:

\(V = \frac{2}{3}*pi*R^3\)

Where pi = 3.14

In this case, R = 10m, then the volume is:

\(V = \frac{2}{3}*3.14*(10m)^3 = 2,093.3 m^3\)

For a cylinder of radius R and height H, the volume is:

\(V = pi*R^2*H\)

Here w ehave:

R = 10m and H = 10m, then:

\(V = 3.14*(10m)^2*10m = 3,140 m^3\)

For a cone of radius R and height H, the volume is:

\(V = pi*R^2*H/3\)

Here we have:

R = 10m

H = 10m

So the volume is:

\(V = 3.14*(10m)^2*10m/3 =1,046.67 m^3\)

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The difference between a right circular cylinder and a cylinder is that a right circular cylinder has a circular base and is perpendicular to the base, whereas a cylinder can have any shaped base and the sides do not have to be perpendicular to the base.

A right circular cylinder has a circular base and its sides are perpendicular to the base, forming a right angle. This means that the axis of the cylinder is at a right angle to the base.

On the other hand, a cylinder can have any shaped base, such as a rectangle or an ellipse, and the sides do not have to be perpendicular to the base. This means that the axis of the cylinder can be at any angle to the base.

In summary, the main difference between a right circular cylinder and a cylinder is the shape of the base and the angle of the sides to the base. A right circular cylinder has a circular base and perpendicular sides, while a cylinder can have any shaped base and the sides can be at any angle to the base.

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Answer:

1/4 is 0.25

1/25 is .04

1/6 is 0.16

1/3 is 0.3

The profit for the new container would be 3.47 each.

The gain from any business operation is referred to as profit. Every time a merchant sells a product, his goal is to make

a profit by getting something from the customer. In other words, if he sells the goods for more than the cost price, he

makes a profit; yet, if he needs to sell them for less, he loses money.

To calculate the profit for the new container, you need to follow these steps:

Determine the selling price. The marketing team suggests that the proposed container will sell for 3.97.

Determine the additional cost to make the new container. It will cost an additional 0.50 each to make.

Calculate the profit. Subtract the additional cost from the selling price to find the profit for the new container.

Profit = Selling Price - Additional Cost

Profit = 3.97 - 0.50

Profit = 3.47

So, the profit for the new container would be 3.47 each.

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Answer:

seeing as no one is answering I will

Answer:

The approximate length of one side of the canvas (approximate to the nearest hundredth inch)= 10.63

Step-by-step explanation:

There are two ways to solve this problem . One is the use of the calculator and the other is the use of the fraction.

Now the square has equal sides length = breadth .

So we can simply find the length on one side by taking square root with the help of the calculator .

So when you press the symbol of square root after entering the number 113 we get the answer 10.63

Square = Length * breadth

Square = Length * length

Square = L²

One side =√ L²= L so √113= 10.63

The approximate length of one side of the canvas (approximate to the nearest hundredth inch)= 10.63

Answer:

4.1

Step-by-step explanation:

√17= 4.12310562561

the nearest tenth is 4.1

Answer:

4.1

Step-by-step explanation:

√17

4.1 (to nearest tenth)

The probability that the death of a randomly selected manatee was due to collision with a watercraft is 0.2066.

What is probability?

A probability is a number that describes how likely an event is to occur in science. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The probability of an event increasing as its likelihood increases.

As given,

Number of deaths caused by collision with a watercraft is 81.

And total number of deaths recorded manatee deaths in 2012 is 392.

Evaluate the probability due to collision with a watercraft as follows:

P(collision) = Number of deaths caused by collision / Total number of deaths

= 81/392

= 0.2066

Hence, the probability that the death of a randomly selected manatee was due to collision with a watercraft is 0.2066.

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Answer:

Step-by-step explanation:

Decimals are out of 100.

7/10 = 70/100

Which equals to 0.70 or 0.7

So your answer is 0.70 (0.7)

Answer:

The exact decimal equivalent of 7/10 is 0.7

Step-by-step explanation:

The reason for this is because when you divide something by ten you move the decimal place one place to the left.

So then 7.0 becomes 0.7 because the decimal place is moved once divided by ten.

Answer:

(1,2), (2,4) (2.5,5) (3,6) (4,8) (5,10) (6,12) (15,30)

Step-by-step explanation:

2.5/2.5 = 1

5/2.5 = 2

(1,2), (2,4) (2.5,5) (3,6) (4,8) (5,10) (6,12) (15,30)

Have an amazing day!

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The area of the surface generated when the curve y = 4x^2 is revolved about the x-axis over the interval [0, 2], we can use the surface area formula and approximate the integral using numerical methods like Simpson's rule.

To find the area of the surface generated when the curve y = 4x^2, defined over the interval [0, 2], is revolved about the x-axis, we can use the formula for the surface area of revolution:

A = 2π ∫[a,b] y * √(1 + (dy/dx)^2) dx

In this case, our curve is y = 4x^2, so we need to find dy/dx:

dy/dx = d/dx (4x^2) = 8x

Now, let's calculate the square root term:

√(1 + (dy/dx)^2) = √(1 + (8x)^2) = √(1 + 64x^2) = √(64x^2 + 1)

Substituting these values into the surface area formula, we have:

A = 2π ∫[0,2] (4x^2) * √(64x^2 + 1) dx

Now, we can integrate the expression over the given interval [0, 2] to find the area. However, this integral does not have a simple closed-form solution. Therefore, we will use numerical methods to approximate the integral.

One commonly used numerical method is Simpson's rule, which provides an estimate of the definite integral. We can divide the interval [0, 2] into a number of subintervals and apply Simpson's rule to each subinterval. The more subintervals we use, the more accurate our approximation will be.

Let's say we divide the interval into n subintervals. The width of each subinterval is h = (2-0)/n = 2/n. We can then approximate the integral using Simpson's rule:

A ≈ 2π * [(h/3) * (y0 + 4y1 + 2y2 + 4y3 + ... + 4yn-1 + yn)]

where y0 = f(0), yn = f(2), and yi = f(xi) for i = 1, 2, ..., n-1, with xi = i*h.

By substituting the values of f(xi) into the formula and performing the calculations, we can obtain an approximation of the surface area.

In summary, to find the area of the surface generated when the curve y = 4x^2 is revolved about the x-axis over the interval [0, 2], we can use the surface area formula and approximate the integral using numerical methods like Simpson's rule.

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If Gil traveled 4. 5 miles and continues at a speed of 62.5 miles per hour and Andy has traveled 29.5 miles and continues at a speed of 50 miles per hour, then the number of hours it will take for Andy and Gill to travel the same number of miles is equal to 2.

The number of hours it will take for Andy and Gill to travel the same number of miles can be determined by using an algebraic expression.

An algebraic expression to find the number of hours can be given as,

4.5 + 62.5(x) = 29.5 + 50(x)

Here, x is equal to the number of hours.

Solving to find the value of x,

62.5x - 50x = 29.5 - 4.5

12.5x = 25

x = 25 ÷ 12.5

x = 2

Hence, the number of hours it will take for Andy and Gill to travel the same number of miles is calculated to be 2.

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Answer:

\(\sqrt{2n^{2}}\)

You have the side lengths of the two legs, n and n.

Then, using the pythagorean theorem you have to find the length of the third side:

\(a^2 + b^2 = c^2\\n^2 + n^2 = c^2\\2n^2 = c ^ 2\\\sqrt{2n^2} = c\)

where c is the third side

Answer:

The congruent supplements theorem states that 2 angles are supplementary if they add up to 180 degrees, not 90 degrees.

He should have stated the complimentary theorem instead.

Step-by-step explanation:

The correct statement will be,'if ∠1 +∠2 = 180° and if ∠1 +∠3 = 180°, then ∠2 =∠3'.

Given:

∠1 +∠2 = 90° and if ∠1 +∠3 = 90°, then ∠2 =∠3

To find:

The error in Jayden's reasoning

Solution:

According to Congruent Supplements Theorem, the sum of supplementary angles is equal to 180°, not 90°.

\(\angle 1 +\angle 2 = 180^o\\\angle 1 +\angle 3 = 180^o\\\text{From this, we can conclude that}:\\\angle 2 = \angle 3\)

The error in Jayden's reasoning was 90°.

The correct statement will be,'if ∠1 +∠2 = 180° and if ∠1 +∠3 = 180°, then ∠2 =∠3'.

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Answer: the slope would be 2

Step-by-step explanation:

rise =    2

------    ___ .      or  2

run = .   1

I hope this is what they meant and will help!

Answer:

y = 36

Step-by-step explanation:

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This triangle is an isosceles triangle because the legs are equal. That means the base angles are congruent.

This means that the other angle is also equal to y.

That top angle is equal to 108 since the pentagon is a 'regular' shape.

We know that triangles equal up to 180.

Now we can make our equation.

2y + 108 = 180

Subtract 108 from both sides.

2y = 72

Now divide by 2

y = 36     This is the value of y.

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#teamtrees #WAP (Water And Plant)

Answer:

4 games

Step-by-step explanation

20÷5=4

3 is not divisible by 5, and you can't purchase a fraction of a game.

Answer:

4

Step-by-step explanation:

$20 divided by $5= 4 purchases

you'll have $3 left

Answer:

qr=68r/s

Step-by-step explanation:

rs=44

s=44/r

qs=68

q(44/r)=68

44q/r=68

44q=68r

q=68r/44

rs=44

r=44/s

qr=(68r/44)(44/s)=68r/s

Answer:

B. √6

Step-by-step explanation:

Irrational number is a number that cannot be expressed in a form of fraction

2.5 = 5/2

√6 = 2.49...

1/2 = 1/2

√9 = 3/1

Answer: 2, 700 cubic ft.

Step-by-step explanation:

2420  + 280 = 2, 700

The formula for volume = Length x Width x Height (L x W x H)

11 x 10 x 22 = 2420

7 x 4 x 10 = 280

2420 + 280 = 2, 700

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

The measurement of the Arc(IJK) is 259 degree.

According to the statement

we have to find the measurement of the arc ikj.

So, For this purpose, we know that the

The given measurement of the arc are:

mik = (11x + 2)°, and mjk = (12x-7)°.

It means

Arc(ik) is equivalent to the  Arc(jk)

For more understanding please see the mage below.

So, Take m on the both sides then it become

mArc(ik) is equivalent to the  mArc(jk)

Now take this equal to each other then

11x + 2 = 12x-7

11x -12x = -7-2

-x = -9

here x = 9 then

The measure of mArc(IK) is

11x + 2

11(9) + 2

99+2

101 degree.

then the

The measure of Arc(IJK) is

Arc(IJK) = 360 - mArc(IK)

Arc(IJK) = 360 - 101

Arc(IJK) = 259 degree.

So, The measurement of the Arc(IJK) is 259 degree.

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Answer:

9x-2x-1

Step-by-step explanation:

The value of the given trigonometric expression \(\frac{\sin\theta-\cos\theta}{\tan\theta}\) is \(\frac{279}{1640}\).

We know the trigonometric identities,

The sum of squares of sine and cosine of an angle is unity.
\(\sin^2\theta+\cos^2\theta=1\)

The tangent of any angle is the ratio of the sine and cosine of that angle.
\(\tan\theta=\frac{\sin\theta}{\cos\theta}\)

The cosine of any angle is the ratio base to the hypotenuse of a right triangle.

The given expression is \(41\cos\theta=9\)  and we have to find  \(\frac{\sin\theta-\cos\theta}{\tan\theta}\).

\(41\cos\theta=9\\\cos\theta=\frac{9}{41}\)

Now, using the trigonometric identity \(\sin^2\theta+\cos^2\theta=1\), we get

\(\sin^2\theta+\cos^2\theta=1\)

Putting the value of cosθ, and finding the value of sinθ,

\(\sin^2\theta+(\frac{9}{41})^{2} =1\\\sin^2\theta+\frac{81}{1681} =1\\\sin^2\theta=1-\frac{81}{1681}\\\sin^2\theta=\frac{1681-81}{1681}\\\\\sin^2\theta=\frac{1600}{1681}\\\\\sin\theta=\sqrt{ \frac{1600}{1681}}\\\sin\theta=\frac{40}{41}\)

Now, finding the value of tanθ, as tangent is the ratio of sine and cosine of theta,

\(\tan\theta=\frac{\sin\theta}{\cos\theta}\\\\\tan\theta=\frac{\frac{40}{41} }{\frac{9}{41}}\\\\\tan\theta=\frac{40}{9}\)

Now, Putting the values in the expression and simplifying,

\(\frac{\sin\theta-\cos\theta}{\tan\theta}=\frac{\frac{40}{41}-\frac{9}{41} }{\frac{40}{9}}\\\\=\frac{\frac{40-9}{41} }{\frac{40}{9} } \\\\=\frac{31}{41}\times\frac{9}{40}\\\\=\frac{279}{1640}\)

Therefore, the value of the given trigonometric expression \(\frac{\sin\theta-\cos\theta}{\tan\theta}\) is \(\frac{279}{1640}\).

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