(TIME SENSITIVE PLEASE HELP) Use matrices to determine the coordinates of the vertices of the reflected figure. Then graph the pre-image and the image on the same coordinate grid.

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Answer:

sure

Step-by-step explanation:

i'll go to your profile and do your next/latest question.

Answer:

sure whats up ? whats the question

The probability that at least two of the balls have the same number is 27.40%

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

Probability requested is equivalent to:

P(at least 2 have same number) = 1 - P(no 2 have the same number)

P(no 2 have same number) = No. of ways to succeed / No. of possible outcomes

No. of ways to succeed = 90P8

No. of possible outcomes = 90^8

No. of ways to succeed =

nPr = n! / (n-r)!

90P8 = 90! / (90-8)!

90P8 = 90! / (82)!

90P8 = 90*89*88*87*86*85*84*83*82! / [(82)!

90P8 = 90*89*88*87*86*85*84*83

90P8 = 3.13x10^15

P(no 2 have same number) = 3.13x10^15 / 90^8

P(no 2 have same number) = 0.73

P(at least 2 have same number) = 1 - P(no 2 have the same number)

P(at least 2 have same number) = 1 - 0.73

P(at least 2 have same number) = 0.2740 = 27.40%

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Answer: 317/305 or 1 12/305

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

\(\left \{ {(3x-4)/2=1} \atop {(-2-5y)/2=4}} \right.\)

x = 2

y = -2

x - y = 2 - (-2) = 4

Using synthetic division, we can divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1. Performing the synthetic division, we obtain a quotient of x² + 6x - 6 and a remainder of 8.

To divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1 using synthetic division, we set up the synthetic division table as follows:

1  |   1   7  -12   14

We begin by bringing down the coefficient of the first term, which is 1, and place it on the line below the division bar. Then we multiply the divisor, 1, by the value we brought down and write the result under the next coefficient. Adding the values in the second row, we obtain the new value. We continue this process for each term until we reach the last term.

1  |   1   7  -12   14

 1   8  -4     10

The values in the last row represent the coefficients of the quotient polynomial. Therefore, the quotient is x² + 6x - 6. The remainder, which is the last value in the last row, is 10. Since the divisor is 1, the remainder does not affect the quotient. Hence, the result of the division is x² + 6x - 6 with a remainder of 10.

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A minimum sample size of 1069 is required to estimate the proportion of elementary, middle, and high school teachers who contributed to a candidate during a recent election cycle such that the margin of error is no more than 0.03 for a 95 percent confidence interval.

In order to estimate the proportion of elementary, middle, and high school teachers who contributed to a candidate during a recent election cycle, a researcher in campaign finance law wants to determine the minimum sample size such that the margin of error is no more than 0.03 for a 95 percent confidence interval.

Assuming that the researcher wants to establish a 95% confidence interval, the level of significance (α) is 1 - 0.95 = 0.05. Furthermore, we can assume that there is no prior knowledge of the population proportion, which is the proportion of elementary, middle, and high school teachers who contributed to a candidate during the election cycle. The standard deviation of a proportion is calculated using the following formula:

\(σ_p=√(p(1−p)/n)\)

Here, n is the sample size and p is the proportion of elementary, middle, and high school teachers who contributed to a candidate during the election cycle. Because there is no prior knowledge of p, it is assumed that the sample proportion, p-hat, is equal to 0.5.

Using these values, we can calculate the minimum sample size required for a margin of error of 0.03 for a 95 percent confidence interval.

α/2=0.025 can be determined by dividing the level of significance (α) by two. This will allow us to calculate the appropriate critical value. To calculate the critical value, we can look up the value of 0.025 in a standard normal distribution table.

Z_α/2=1.96 is the corresponding z-value for a 95% confidence interval.With the critical value, we can now calculate the minimum sample size using the formula below:

\(n = (Z^2) (p) (1 - p) / (E^2)\)

where, Z = critical valueα = level of significance (0.05)

E = margin of error (0.03)

p-hat = 0.5

The minimum sample size for a 95% confidence interval with a margin of error of 0.03 and no prior knowledge of the population proportion is as follows:

\(n = (1.96)^2 (0.5) (0.5) / (0.03)^2n = 1068.44444 ≈ 1069\)

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The volume of the solid obtained by rotating the region bounded by the given curves about the y-axis is 125π/2 cubic units.

To find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line (y-axis), we need to use the method of cylindrical shells. Method of cylindrical shells:

Suppose we want to find the volume of a solid obtained by rotating about the y-axis the region bounded by the curves y = f (x), y = 0, x = a, and x = b. We take a thin strip of width dx at a distance x from the y-axis. The length of this strip is f (x). When the strip is rotated about the y-axis, it generates a cylindrical shell of radius x and height f (x)dx.

The volume of this shell is 2πxf (x)dx. The total volume obtained by rotating the region about the y-axis is

V = ∫ab 2πxf (x)dx

Let's calculate the volume of the solid obtained by rotating the region bounded by the given curves about the y-axis:

y = 1/25 x2, x = 5, y = 0

The limits of integration are a = 0 and b = 5. The equation of the curve can be written as x² = 25y ⇒ x = 5√y

So, the integral is

V = ∫05 2πx(1/25 x2)dx

V = 2π/25 ∫05 x³dx

V = 2π/25 [x⁴/4]05

V = 2π/25 [5⁴/4]

V = 125π/2

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1.8 moles of aluminum will be used when reacted with 1.35 moles of oxygen.

We have,

1.35 moles of oxygen.

First, The balanced equation is:

4Al  +  3O₂     →     2Al₂O₃

So, 1.35 mol O₂ × 4 mol Al / 3 mol O₂

=5.4 /3

=  1.8 mol Al

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A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothe

Answer:

5 9/14

Step-by-step explanation:

4 1/7 + 1 1/2= 5+1/7+1/2= 5+ 2/14+7/14= 5+ 9/14= 5 9/14

first put them into improper fractions, makes it easier

29/7 + 3/2

make the denominator the same

58/14 + 21/14 = 79/14

put it into a mixed fraction

79/14 = 5 9/14

Answer:

Step-by-step explanation:

8x³ + 2x²  -20x - 5

= (8x³ + 2x²) + (-20x - 5)

= 2x² (4x + 1) + (-5)(4x + 1)

= (2x² - 5)(4x +1 )

The simplified expression is 2x⁵.

To simplify the expression \(\left(4x^{9/2}\right)\left(\frac12x^{1/2}\right)\), we can multiply the coefficients and combine the variables with the same base.

Multiplying the coefficients: \(4 \times \frac12 = 2\)

Multiplying the variables with the same base:

\($x^{9/2} \times x^{1/2} = x^{\left(\frac92 + \frac12\right)} = x^{10/2} = x^5$\)

Putting it all together, the simplified expression is \(2x^5\)

Hence the simplified expression is 2x⁵.

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(a)i. Evaluating the constant:

\($$\int_{-1}^{1} c(1+x)(1-2x) dx = 1$$$$\implies c = \frac{3}{4}$$\)

Therefore, the probability density function is:

\($$f(x) = \frac{3}{4} (1+x)(1-2x), -1< x < 1$$\) ii. Plotting the probability density function:

From the graph, it is observed that the density function is skewed to the left.

(b)i. The mean:

\($$E(X) = \int_{-1}^{1} x f(x) dx$$$$E(X) = \int_{-1}^{1} x \frac{3}{4} (1+x)(1-2x) dx$$$$E(X) = 0$$\)

ii. The second moment about the origin:

\($$E(X^2) = \int_{-1}^{1} x^2 f(x) dx$$$$E(X^2) = \int_{-1}^{1} x^2 \frac{3}{4} (1+x)(1-2x) dx$$$$E(X^2) = \frac{1}{5}$$\)

Therefore, the variance is:

\($$\sigma^2 = E(X^2) - E(X)^2$$$$\implies \sigma^2 = \frac{1}{5}$$\)

iii. The standard deviation:

$$\sigma = \sqrt{\sigma^2} = \sqrt{\frac{1}{5}} = \frac{\sqrt{5}}{5}$$(c)

i. The cumulative distribution function:

\($$F(x) = \int_{-1}^{x} f(t) dt$$$$F(x) = \int_{-1}^{x} \frac{3}{4} (1+t)(1-2t) dt$$\)

ii. The probability density function can be obtained by differentiating the cumulative distribution function:

\($$f(x) = F'(x) = \frac{3}{4} (1+x)(1-2x)$$\)

iii. Evaluating\(P(-0.2 < X <0.2):$$P(-0.2 < X <0.2) = F(0.2) - F(-0.2)$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} f(x) dx$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} \frac{3}{4} (1+x)(1-2x) dx$$$$P(-0.2 < X <0.2) = 0.0576$$\)

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Answer:

A: 2x - y = -6 and 3x - y = -5

Step-by-step explanation:

y = 2(x+3)

y = 2x + 6

2x -y = -6

y = 5 + 3x

3x - y = -5

Explanation:

For the first slot, we have 9 digits to choose from (1 through 9).

Whatever we pick for the first choice, we have 9 choices left for the second slot. Say we picked 2 for the first slot. That means we have {0,1,X,3,4,5,6,7,8,9} to choose from. I used X to indicate we can't pick that digit any more. You'll see there are 9 items in that list.

Then for the third slot, we had 8 choices to pick from

Overall we have 9*9*8 = 81*8 = 648 different area codes possible where the first digit cannot be zero.

Answer:

Step-by-step explanation:

To solve for the variable n in the equation 1/3 = n + 3/4, you can follow these steps:

Subtract 3/4 from both sides of the equation to isolate the variable n on one side:

1/3 - 3/4 = n

Find a common denominator for 1/3 and 3/4, which is 12. Multiply the numerator and denominator of 1/3 by 4 to get 4/12, and multiply the numerator and denominator of 3/4 by 3 to get 9/12:

4/12 - 9/12 = n

Simplify the expression on the left side of the equation by subtracting the numerators:

-5/12 = n

Rewrite the solution as a fraction or mixed number in simplest form:

n = -5/12

Therefore, the solution to the equation 1/3 = n + 3/4 is n = -5/12.

Answer:180

Step-by-step explanation:

hope this helps

Answer:

0.8 mm

Step-by-step explanation:

Given that you require the actual size.

The ant has been magnified by 15 X

To find the actual size divide magnified size by 15

actual size = 12 mm ÷ 15 = 0.8 mm

Answer:

{(75+46)/5-10}*2

Step-by-step explanation:

Answer: the distance between the two points is √26 or about 5.1

Step-by-step explanation:

A(4,6)   B(9,7)

\(\boxed {L_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2} }\\\\L_{AB}=\sqrt{(9-4)^2+(7-6)^2} \\\\L{ab}=\sqrt{5^2+1^2}\\\\ L_{AB}=\sqrt{25+1} \\\\L_{AB}=\sqrt{26} \\\\L_{AB}\approx5.1\)

The distance between A (4, 6) and B (9, 7) is √26 or 5.1.

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

\(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\)

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

\(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\)

So the distance between A (4, 6) and B (9, 7) will be

\(d = \sqrt {\left( {4 - 9 } \right)^2 + \left( {6 - 7 } \right)^2 }\)

d = √26 = 5.099

Rounded to nearest tenth ⇒ 5.1 units.

Hence "The distance between A (4, 6) and B (9, 7) is √26 or 5.1".

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Answer:

B. I think

Step-by-step explanation:

1.50 times 86 equals 129 witch would mean Diana bought 86 sodas

8 is equal to 1 pizza so Dianna could have bought 1 pizza

86>1

8+129 is 137 so I think the answer is B.

rand() % 6 expression is most appropriate for randomly choosing a day of the week .

Rand generates random number and This number is produced using an algorithm that, each time it is run, outputs a string of numerical values that seem unrelated.

A % B generates the number less than or equal to the B.

Therefore , for randomly choosing a day of the week we can use  rand() % 6 as there are 7 days in a week and  rand() % 6 returns any number between 0 to 6 as Total 7 days.

The best statement for choosing a day of the week at random is rand()% 6.

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Answer:

A. (1/2) bucket

Step-by-step explanation:

    6           11

4 ------ - 3 ------- = ?

    14          12

14 × 4 = 56

56 + 6 = 62

12 × -3 = -36

-36 - 11 = -47

 62       47

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

  14        12

 62(12)        47(14)

-------    -     -------

  14(12)         12(14)

744     658       86

------- - ------- = --------

 168     168       168

 86 ÷ 2

-------

168 ÷ 2

43

----- = 0.511

84

0.511 ≈ (1/2)

I hope this helps!

Answer:

1/2 bucket

Step-by-step explanation:

Answer:

8.

\(8. - 1. - 44 \)

9

Answer:

x, x, -3, 2x cannot be an arithmetic sequence

Step-by-step explanation:

an arithmetic sequence has a constant difference between subsequent elements. That means

x - x = -3 - x = 2x - (-3)

0 = -3 - x = 2x + 3

and we get:

x = -3    ;     from 0 = -3 - x

and

x = -3/2    ; from 0 = 2x + 3

so there is no solution.

Answer:

10 days

Step-by-step explanation:

(1) the typical amount of miles traveled is 10932.1 miles.

(2) the range is from 9915 up to 11983 miles.

(3) there are no such values in our data, so there is no outlier

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

a-1) The typical amount of miles traveled can be given by measure of the central tendency of data.

As the mean is an unbiased estimator of the central tendency, so we will use 'Mean' as the point estimate of the central tendency representing the typical number of miles traveled.

Use the 'AVERAGE' function in Excel to get the mean of data.

For example, if the values are stored in cell range A1 to A80, then use the formula -

=AVERAGE(A1:A80)

This gives us the point estimate = 10932.1

Thus, the typical amount of miles traveled is 10932.1 miles.

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

a-2)

Range is maximum and minimum values within which all the data lies.

As minimum value of data = 9915

And maximum value of data = 11983

So, the range is from 9915 up to 11983 miles.

a-3)

Use the following Excel functions to get the five-point summary of data -

Minimum Value =MIN(A1:A80)

First Quartile = Q1 =QUARTILE.EXC(A1:A80,1)

Median =MEDIAN(A1:A80)

Third Quartile = Q3 =QUARTILE.EXC(A1:A80,3)

Maximum Value =MAX(A1:A80)

This should give the following values -

Minimum Value 9915

First Quartile = Q1 10400

Median 10919

Third Quartile = Q3 11371

Maximum Value 11983

Then the interquartile range is -

IQR = Q3 - Q1

      = 11371 - 10400

      = 971

A value is said to be an outlier if it lies below (Q1 - 1.5*IQR) or above (Q3 + 1.5*IQR).

So, the boundary points are -

Q1 - 1.5*IQR = 10400 - 1.5(971)

                     = 8943.5

And, Q3 + 1.5*IQR = 11371 + 1.5(971)

= 12827.5

So, any value less than 8943.5 or greater than 12827.5 would be an outlier.

As there are no such values in our data, so there is no outlier.

Hence, (1) the typical amount of miles traveled is 10932.1 miles.

(2) the range is from 9915 up to 11983 miles.

(3) there are no such values in our data, so there is no outlier.

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To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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Answer:

< or >

Step-by-step explanation:

Answer

If it's open, its just greater than or less than. If it's closed, its greater than or equal to / less than or equal to.

Answer: Answer: C, Write in scientific notation, moving the decimal in the coefficient one place to the left, which adds 1 to the exponent value.