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According to the results in the chart, what is the experimental probability of getting a number greater than 3 on the die? 3 over 12 6 over 12 9 over 12 8 over 12

Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Correct question is;

Complete this division sentence.

9988 ÷ 23 = R

Answer:

9988 ÷ 23 = 434 R 6

Step-by-step explanation:

....... 434

_________

23|9988

......92

¯¯¯¯¯¯¯¯¯¯¯

........ 788

.........69

¯¯¯¯¯¯¯¯¯¯

........... 98

............92

¯¯¯¯¯¯¯¯¯¯¯

............. 6

Thus ; 9988 ÷ 23 = 434 R 6

The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.

The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.

Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:

y - 6 = -2(x - 5)

y - 6 = -2x + 10

y = -2x + 16

Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

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The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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Answer: The answer is 6.75

Step-by-step explanation:

I did the math :b

Answer:

\(y = \frac{9x^2}{2} + c\)

Step-by-step explanation:

Given

\(\int\limits^ _\)\((x + 8x) dx\)

Required

(a) Integrate

(b) Check using differentiation

To integrate, we make use of the following formula;

if

\(\frac{dy}{dx} = \int\limits^{} _{} ax^n\)

then

\(y = \frac{ax^{n+1}}{n+1}\)

So; \(\int\limits^ _\)\((x + 8x) dx\) becomes

\(y = \frac{x^{1+1}}{1+1} + \frac{8x^{1+1}}{1+1} + c\)

\(y = \frac{x^{2}}{2} + \frac{8x^{2}}{2} + c\)

\(y = \frac{x^{2}}{2} + 4x^2 + c\)

Take LCM

\(y = \frac{x^{2} + 8x^2}{2} + c\)

\(y = \frac{9x^2}{2} + c\)

To check using differentiation, we make use of

if \(y = ax^n\), then

\(\frac{dy}{dx} = nax^{n-1}\)

Using this formula

\(y = \frac{9x^2}{2} + c\) becomes

\(\frac{dy}{dx} = 2 * \frac{9x^{2-1}}{2}\)

\(\frac{dy}{dx} = 2 * \frac{9x}{2}\)

\(\frac{dy}{dx} =9x\)

\(9x = x + 8x\)

So;

\(\frac{dy}{dx} = x + 8x\)

Answer:

do the butterfly method if you don't know how to do that comment and I'll show you a screenshot

The missing values are:

angle DGE = 45 degrees

angle EDG = 85 degrees

FD = 10

GD = 10√2

EG = (20 + 13√3) / 2

The missing sides in the figure is solved as follows

angle DGE = angle BAG = 45 degrees (alternate angles are equal)

angle EDG = angle ADC (vertical angles are equal)

angle ADC + 45 + 50 = 180 (sum of angles in a triangle)

angle ADC = 180 - 50 - 45

angle ADC = 85 degrees

Since DGE = 45 degrees and FG = 10

tan 45 = FD / FG

tan 45 = FD / 10

FD = 10

solving for GD

GD² = FD² + FG² = 10² + 10² = 200

GD = 10√2

solving for EG

EG = EF + FG

cos 50 = EF / 13

EF = 13 cos 50 = 13√3 / 2

EG = EF + FG = 13√3 / 2  + 10 = (20 + 13√3) / 2

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Answer:

$36.00

Step-by-step explanation:

hsksebhssv hnshsnsjdndj ldgehsiw c 3072729 lvwjaiwn sj. +a iwiwirbfhx ska hamd +675196 = $ 20000 solved

Answer:

AB = 12

Step-by-step explanation:

Using the t-distribution, the 95% confidence interval for the mass of these ingots is of (26, 29.50).

The bounds of the confidence interval are given according to the rule presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 16 - 1 = 15 df, is t = 2.1315.

Using a calculator, from the given sample, the parameters are given as follows:

\(\overline{x} = 27.75, s = 3.28, n = 16\)

The lower bound of the interval is:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 27.75 - 2.1315\frac{3.28}{\sqrt{16}} = 26\)

The upper bound of the interval is:

\(\overline{x} + t\frac{s}{\sqrt{n}} = 27.75 + 2.1315\frac{3.28}{\sqrt{16}} = 29.50\)

The problems asks for the 95% confidence interval for the mass of these ingots.

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Answer:

a I think please be right

Step-by-step explanation:

First, cross multiply.

2(2x-1)=6(x+1)

Then, use distributive property and multiply

4x-2=6x+6

Then, subtract 4x from 6x and subtract 6 from -2

-8=2x

Divide

-4=x

Answer:

  x = -4

Step-by-step explanation:

It is often easiest to eliminate fractions first. Multiplying by the least common denominator (6), you have ...

  2x -1 = 3(x +1)

  2x -1 = 3x +3 . . . eliminate parentheses

  -4 = x . . . . . . . . add -2x-3 to both sides

__

Check

(2(-4) -1)/6 = -9/6 = (-4+1)/2 = -3/2 . . . . true

For each statement for triangle SQP and SQR, Q is the midpoint of PR: No, ∠P ≅ ∠R: No, ∠PSQ ≅ ∠RSQ: Yes, m∠P = 33°, m∠RSQ = 57°: No, ∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes.

What is triangle?

A triangle is a geometric shape that consists of three line segments connected end-to-end to form a closed shape. Triangles are one of the basic shapes studied in geometry and are used in a wide range of applications, from construction to computer graphics.

Here are the answers to whether each statement provides enough information to prove that △SQP ≅ △SQR:

Q is the midpoint of PR: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the angles or sides.

∠P ≅ ∠R: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.

∠SQP is a right angle, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-side (AAS) congruence criterion.

∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.

∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-angle (AAA) congruence criterion.

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The function f(x) = sin⁻¹x, x ≠ π/4 and sinx, x = π/4 is continuous on[-1, π/4) ∪ (π/4, 1]. There is a removable discontinuity at x = π/4

A function is said to be continuous if there are no breaks or jumps in the functions

Conditions for continuity of a function

Now, for the given function f(x) = sin⁻¹x, x ≠ π/4 and sinx, x = π/4

We need to determine the interval of continuity, We proceed as follows.

Since f(x) = sin⁻¹x, x ≠ π/4 , we know that the minimum value of x is - 1 and its maximum value is 1.

So, x must lie in the interval (-1, 1) for x ≠ π/4,

Now, when x = π/4 f(x) = sinx. We know that x = π/4 lies in the interval (-1, 1).

But we know that f(x) = sinx at x = π/4. So, there is a removable discontinuity at x = π/4.

So, from the left, f(x) is continuous on the interval [-1, π/4) and  from the right, f(x) is continuous on the interval (π/4, 1]

So, combining both intervals, we have f(x) is continous on the interval [-1, π/4) ∪ (π/4, 1] and since f(x) = sinx at x = π/4, there is a removable discontinuity at x = π/4

So, the function f(x) is continuous on[-1, π/4) ∪ (π/4, 1]. There is a removable discontinuity at x = π/4

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Answer:

$96.00

Step-by-step explanation:

if the bill is $80 an there was a 20% tip, that would mean that the tip was $16, and 80 + 16 = 96. the total bill is $96.00

Answer:

Parallelogram

Step-by-step explanation:

Parallelograms have 2 sets of parallel sides, hence the name.

Answer: 1 =5$

200$=40

Step-by-step explanation:

Answer:

40 boxes

Step-by-step explanation:

200 = 5x

x = 40

The missing length of the similar triangle is 44 units.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

Therefore, the triangle RST is similar to the triangle RED. Hence, using the proportional relationships,

32 / 88 = x / 121

cross multiply

121 × 32 = 88x

88x = 3872

divide both sides by 88

x = 3872 / 88

x = 44 units

Hence,

x = 44 units

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Answer:

A. length = 4yd, width = 2yd

Step-by-step explanation:

Given that

The area of a playground is 50 square yards

And, the length would be 2 times the width  

Here the area is 8 square yards

And, the length be 2w

where w denotes the width

Now as we know that

Area of the playground = length × width

8 = 2w × w

2w^2 = 8

Now Divide both sides by 2

So,  

2w^2 ÷ 2 = 8 ÷ 2

w^2 = 4

w = 2

And, length be

= 2 × 2

= 4 yards

hence, the correct option is A.  

Answer:

Step-by-step explanation:

let the side of triangle=x

hypotenuse=x+4

(x+4)^2=x^2+x^2

x^2+8x+16=2x^2

x^2-8x-16=0

x²-8x=16

x²-8x+16=16+16=32

(x-4)²=16×2=(4√2)²

x-4=±4√2

x=4±4√2

either x=4+4√2=4(1+√2)

or x=4-4√2=-4(√2-1)<0 (rejected)

leg x=4(1+√2)≈4(1+1.414)≈4×2.414≈8.828≈8.83 cm

hypotenuse≈8.83+4=12.83 cm

Answer:

=0

Step-by-step explanation:

4(11+7)-9•8=

(44+28)-72=

72-72=0

Answer:

D. 211

Step-by-step explanation:

180-19=161

161+50=211

19+(211(x)-50)=180

211° is the value of x since if u substitute it u will get your answer note that angle on a straight line is 180°

We have the next information

Bill $42

tax 9%

tip 18%

if the total is 42

the tax will be

42*.09=$3.78

the tip will be

42*.18=$7.56

The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.

Let's consider each expression one by one:

7/8 x 9/19:

To compare this expression to 7/8, we multiply the fractions:

(7/8) x (9/19) = 63/152.

Since 63/152 is less than 7/8, this expression is less than 7/8.

7/8 x 3/4:

Multiplying the fractions:

(7/8) x (3/4) = 21/32.

Since 21/32 is less than 7/8, this expression is less than 7/8.

7/8 x 9/9:

The fraction 9/9 simplifies to 1, so the expression becomes:

(7/8) x 1 = 7/8.

Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.

7/8 x 4/3:

Multiplying the fractions:

(7/8) x (4/3) = 28/24.

We can simplify 28/24 to 7/6.

Since 7/6 is greater than 7/8, this expression is not less than 7/8.

Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

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