Please help with my Probability Sheet. Integrated Math 2. Spin or Roll.

Answer:

Here's a graph to help you solve this answer:

Answer:

A is the answer.

explanation:

given: -11, -28, -17, -25, -28, -39, -6, -46

arrange them in ascending order:

-6, -11, -17, -25, -28, -28, -39, -46

then we can easily find mean, mode, median and range.

mean: (total sum)/(total numbers) = (-200)/8 = -25

mode: -28 ...which appears frequently in the data.

median: (-25-28)/2 = -26.5 .......the number in the middle

range: 46 - 6 = 40 ......the range between data.

Answer:

Step-by-step explanation:

Area of base = 0.5×9×12 = 54 cm²

Hypotenuse of base = √(9²+12²) = 15

Lateral surface area = 10(9+12+15) = 360 cm²

Total surface area = 2×54 + 360 = 468 cm²

Answer:

7250%

Step-by-step explanation:

To express 72 1/2 as a percentage, you need to convert it to a decimal first and then multiply by 100.

72 1/2 is equivalent to 72.5 as a decimal.

To convert it to a percentage:

72.5 * 100 = 7250

Therefore, 72 1/2 is equal to 7250% when expressed as a percentage.

let me know it is helpful for you or not

Answer:

The number is 5

Step-by-step explanation:

Let us use an equation ( X is the unknown number)

2(x-3)=4

2x-6=4

2x-6+6=4+6

2x/2=10/2

x=5

The expression to find the length of JH is \(JH = 9\cdot \sin 35^{\circ}\).

The expression to find the length of GJ is \(GJ = 9\cdot \cos 35^{\circ}\).

A right triangle has two legs and a hypotenuse, the two legs are adjacent to a right angle and the hypotenuse is the side opposite to that angle. Besides, the hypotenuse is the longest side of the right triangle.

We can determine the value of each leg by means of trigonometric relations in terms of the hypotenuse and an angle adjacent to it, which are described below:

\(JH = GH\cdot \sin \theta\) (1)

\(GJ = GH\cdot \cos \theta\) (2)

If we know that \(GH = 9\) and \(\theta = 35^{\circ}\), then the expressions are:

\(JH = 9\cdot \sin 35^{\circ}\)

\(GJ = 9\cdot \cos 35^{\circ}\)

The expression to find the length of JH is \(JH = 9\cdot \sin 35^{\circ}\). \(\blacksquare\)

The expression to find the length of GJ is \(GJ = 9\cdot \cos 35^{\circ}\). \(\blacksquare\)

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The statement is incomplete and full of mistakes. In addition, there is an image missing. The complete and corrected expression is presented:

Write an expression that can be used to find the length of \(JH\) and an expression that can be used to find the length of \(GJ\).

Answer:

1. Estimate: $20

2. Estimate: $24

3. Estimate: 20

4. Estimate: 250

Step-by-step explanation:

Hope this helps ;)

Answer:

-7, -6, -1, 0,5, 8, 12

Step-by-step explanation:

anything that is negaitive is less than 0

Hope it helps! :)

Answer:

D

Step-by-step explanation:

D .  .79 d would be the same

d- .21d =   (1-.21) * d= .79 d

Answer:

you see

Step-by-step explanation:

Answer:

Given that a beetle has the pattern, 0.098 is the probability that it belongs to the rare subspecies

Step-by-step explanation:

Probability of having a pattern in rare subspecies \(= 0.98\\\)

Percentage of rare subspecies = 1 % = 0.01

Probability of a beetle with pattern belonging to rare subspecies is

\(=0.01 * 0.98 \\= 0.098\)

Answer: f(x)=2^x+5

Step-by-step explanation:

math

Answer:

0.0062137124 miles per second

Step-by-step explanation:

Median of the late trains in a day = 10

What in mathematics is a linear equation?

From the given diagram , we have

Number of trains late on day 1 = 1 + 2 + 3+ 4 + 5 + 6 + 7 + 8 +9 = 30

Number of trains late on day 2 = 1 + 2 + 3+ 4 + 5 = 15

Number of trains late on day  3 = 2 + 3 = 5

Number of trains late on day 4 = 2

Arranging the above data in accending order we get

 2,5,15, 30

as number of observation is even

So, median = mean of two middle numbers

                = 5 + 15/2   = 20/2 = 10

Therefore, median of the late trains in a day = 10

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Answer:

6 cm

Step-by-step explanation:

a = 1/2bh

42 = 1/2(14)h

42 = 7h  Divide both sides by 7

6 = h

Answer:

I hope this is correct but 8.5 or 8 1/2 Units

Answer:

i think it is 8 1/2.

Step-by-step explanation:

my reasoning is that because v=lwh. the length is 4 and hw is 2 1/8. so i multiplied those together.

Answer:

yes

Step-by-step explanation:

Answer:

Rate in still water = 45 km/h

Rate of the current = 10 km/h.

Step-by-step explanation:

Let the rate of the current be x and rate in still water be y.

So the rate of the boat upstream is y - x and the rate downstream = x + y.

Rate upstream = distance / time

y - x = 105/3 = 35 ...... (1)

Rate downstream:

y + x = 165/3 = 55 .......(2)

Adding (1) + (2):

2y = 90

y = 45 km/h.

Using equation (1):

45 - x = 35

x = 45-35 = 10 km/h.

Answer:

A, C, and F

Step-by-step explanation:

The solution is, A and D are the correct statements.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

to know which are the following statements are true:

We know that when f(x) is divided by (x - h) then f(h) is the remainder.

In option  A f(-7) is the remainder which gives the value 8.

So, option A is correct.

Here the value x = 7 does not satisfy the function.

When we put x = 7 in the function it is coming 99

So, option B and C are wrong.

On putting x = -7 in the function we are getting 8

So options D is correct

Again, the value of f(7) is 99.

So, (x - 7) when divides the given function, 8 is not the remainder.

So, option E is wrong.

Hence, The solution is, A and D are the correct statements.

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Answer:

y = 65 degrees

Step-by-step explanation:

(this is what i remember from geometry at least so let me know if i got anything wrong)

2x+25 and 3x-10 are opposites which means they are equal to each other.

2x+25 = 3x-20 get the x values on the same side by subtracting 2 from both sides

25 = x-20 to get the x value alone add 20 to both sides

45 = x

now you can plug in x to either equation to find out what their degree is

2(45)+25 = 115 degrees

and since this equation and y are on the same line you can subtract 115 from 180 (a line is equal to 180 degrees) to find y

180-115 = 65 degrees

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle. The value of the variables x and y are 35 and 85, respectively.

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.

The angle measuring (2x+25)° and (3x-10)° are vertical angles. Therefore, we can write,

(2x + 25) = (3x - 10)

2x + 25 = 3x - 10

25 + 10 = 3x - 2x

x = 35

Also, in the given image the angle measuring (2x + 25)° and y° are supplementary angles, therefore, we can write,

(2x + 25)° + y° = 180°

2x + 25 + y = 180°

Substitute the value of x,

2(35) + 25 + y = 180

70 + 25 + y = 180

95 + y = 180

y = 85°

Hence, the value of the variables x and y are 35 and 85, respectively.

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Step-by-step explanation:

tan(2x) = sin(2x)/cos(2x) = 2sinxcosx/(cos^2x - sin^2x).

Dividing the num- and denominator by sinxcosx, we get

2/(cosx/sinx - sinx/cosx) = 2/(cotx - tanx)

cotA + cotB = cosA/sinA + cosB/sinB

We just add them like fractions, with a common denominator of sinAsinB

(cosAsinB + sinAcosB)/sinAsinB

Note that sinAcosB + sinBcosA = sin(A+B)

Therefore we have

sin(A+B)/sinAsinB

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Hey there!

You would use the distributive property. ( * = multiplication)

5(x - 2) = (5 * x) - (5 * 2) = 5x - 10

Hope it helps and have an amazing day!

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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Answer:

7x-4y=-11

Step-by-step explanation:

Answer:

Neither in K.A

Step-by-step explanation:

Make sure put some choices before you ask we wouldn't know .

Thank me later !

The expression that represents the perimeter of the given rectangle is 20x + 6 inches.

The perimeter formula for a rectangle is 2l + 2w. We are given that the length is 8x - 1 inches and the width is 2x + 4 inches, so we can substitute those expressions into the formula to get:

Perimeter = 2(8x - 1) + 2(2x + 4)

We distribute the 2 to each term inside the parentheses:

Perimeter = 16x - 2 + 4x + 8

We combine like terms:

Perimeter = (16x + 4x) + (-2 + 8)

Add the like terms together

Perimeter = 20x + 6

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