let e be the event that a five card poker hand contains at least one 7 and at least one 8, and let f be the event that a five card poker hand is a straight. (a straight consists of five consecutive ranks, with the lowest straight being a-2-3-4-5 and the highest straight being 10-j-q-k-a. for this problem, a straight flush and a royal flush are both considered straights.) (a) find p (e). hint: first find p (e)

The equation holds true, confirming that (-5, 2) is indeed the solution to the given equation.

To complete the missing value in the solution to the equation x - 5y = -15, we substitute the given x-value (-5) into the equation and solve for y.

Substituting x = -5 into the equation, we have:

-5 - 5y = -15

Next, we simplify the equation by combining like terms:

-5y = -15 + 5

-5y = -10

To isolate y, we divide both sides of the equation by -5:

y = (-10) / (-5)

Simplifying further, we have:

y = 2

Therefore, the missing value in the solution to the equation is y = 2.

In the ordered pair form, the solution is represented as (-5, 2), where -5 corresponds to the x-value and 2 corresponds to the y-value.

This means that when x is equal to -5, and y is equal to 2, the equation x - 5y = -15 is satisfied. Plugging in these values into the equation:

-5 - 5(2) = -15

-5 - 10 = -15

-15 = -15

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Answer:

B) 3x-6y

Step-by-step explanation:

2x+x=3x

5y+y=6y

3x-6y

Answer:

A) 3x - 4y

(2x - 5y) + (x + y)

=> 2x - 5y + x + y

=> 2x + x - 5y + y ------(arranging the like terms together)

=> 3x - 4y

The volume of the cylinder to two decimal places is 904.32 cubic inches.

Volume of a cylinder = πr²h

Where,

π = 3.14

r = 6 in

h = 8 in

Volume of a cylinder = πr²h

= 3.14 × 6² × 8

= 3.14 × 36 × 8

= 904.32 cubic inches

Consequently, the cylinder given the value of π, radius and height has a volume of 904.32 cubic inches.

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Answer:

V =128 pi

Step-by-step explanation:

The volume of the cylinder is given by

V = pi r^ h

V = pi 4^2 *8

V = pi *16*8

V =128 pi

Answer:

C

Step-by-step explanation:

25/9= 2.777

An expression that has a value that is more than the base of the expression is: A. 5³.

A simplification of the expression is equal to: B. 13.

In Mathematics, an exponent refers to a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

5³ = 125 (Greater).

Next, we would apply the PEMDAS or BODMAS rule as follows;

Expression = 15 + (9 × 32)/6 ÷ (2 + 6) - 8

Expression = 15 + (9 × 32)/6 ÷ 8 - 8

Expression = 15 + 48  ÷ 8 - 8

Expression = 15 + 6 - 8

Expression = 21 - 8

Expression = 13.

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Answer:

Step-by-step explanation:

    a) Diameter = 2.1 m

                      r = 2.1 ÷ 2 = 1.05 m

            Area   = πr²

                       = 3.14 * 1.05 * 1.05

                      = 3.46 = 3.5 m²

    b) To find the number of paint tins, divide the area of table top by 1.75 m²

     Number of tins =  3.5 ÷ 1.75

                               = 2 tins

c) Cost of 1 tin = $ 5.50

   Cost of 2 tin = 2 *5.50

                        = $ 11

\(\sf d) Cost\ of \ labour = \dfrac{2}{3} * 11\)

                         = $ 7.30

Answer:

a=3.46 (2dp)   b(ii)=2  

Step-by-step explanation:

a)

πr²=area

2.1/2 = 1.05 as the radius

1.05² x π= 3.46 (2dp)

b)

3.46/1.75= 1.98

1.98 can be changed into two

∴ 2 tins will be needed

Answer:

The tower is 113 meters.

Step-by-step explanation:

We are given a pole and a tower that both create a shadow.

Hence, the figures made are triangles.

If you draw the figure (attached to this response), you can see the two triangles are similar triangles.

⭐What are similar triangles?

The length of the height of the pole (3.2) corresponds to the length of the height of the tower (x).

The length of the shadow of the pole (1.32) corresponds to the length of the shadow of the tower (46.75).

Therefore, our two ratios are:

\(\frac{3.2}{x}\) and \(\frac{1.32}{46.75}\)

A proportion is when you set two ratios equal to each other:

\(\frac{3.2}{x} = \frac{1.32}{46.75}\)

To solve for x, cross multiply by multiplying the opposite parts of the fraction together.

\(\frac{3.2}{x} = \frac{1.32}{46.75}\\46.75(3.2) = 1.32x\\149.6 = 1.32x\\\\113 = x\)

∴ The tower is 113 meters tall!

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Answer:

Which number is missing?

40   38   35   31   26   20   13   5

Pattern: ( -2, -3, -4, etc)

40 - 2 = 38

38 - 3 = 35

35 - 4 = 31

31 - 5 = 26

26 - 6 = 20

20 - 7 = 13

13 - 8 = 5

Step-by-step explanation:

You're welcome.

The time it takes for the bacteria count to reach 250,000 from an initial count of 2 bacteria, tripling every 30 minutes, is approximately 6.589 hours.

To find the time until 250,000 bacteria will be present, we will use the formula for exponential growth:

final count = initial count * growth rate ^ (time/growth period).

In this case, the initial count is 2 bacteria, the growth rate is 3 (since it triples), and the growth period is 0.5 hours (30 minutes).

Now, let's set up the equation and solve for the time:

250,000 = 2 * 3 ^ (time/0.5)

Divide both sides by 2:

125,000 = 3 ^ (time/0.5)

Take the natural logarithm of both sides:

ln(125,000) = ln(3 ^ (time/0.5))

Use the power rule of logarithms to simplify:

ln(125,000) = (time/0.5) * ln(3)

Divide by ln(3):

time/0.5 = ln(125,000)/ln(3)

Now, multiply by 0.5 to find the time:

time = 0.5 * (ln(125,000)/ln(3))

Calculate the value:

time ≈ 6.589 hours

So, it will take approximately 6.589 hours for the bacteria count on your hand to reach 250,000 after washing.

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The work done in pulling the rope up 20 ft is 101.43 ft-lbs.

To find the work done in pulling the rope up 20 ft, we need to first determine the initial potential energy of the rope before it is lifted up. We can do this using the formula:

Potential Energy = weight * height

where weight is the weight of the rope and height is the distance the rope is hanging from.

Given:

Length of the rope (L) = 70 ft

Weight of the rope (Wt) = 49 lbs

Height of the building (H) = 100 ft

Height to which the rope is lifted (h) = 20 ft

Using the Pythagorean theorem, we can find the distance (d) the rope is hanging from the building:

d^2 = H^2 + L^2

d^2 = 100^2 + 70^2

d^2 = 10000 + 4900

d^2 = 14900

d = \(\sqrt{14900}\)

d = 122.07 ft

Now we can find the initial potential energy of the rope:

Potential Energy = Wt * d

Potential Energy = 49 * 122.02

Potential Energy = 5981.43 ft-lbs

Next, we need to find the final potential energy of the rope after it is lifted up 20 ft. The height to which the rope is lifted is (H + h) = 100 + 20 = 120 ft. Using the same formula as before, we get:

Final Potential Energy = Wt * (H + h)

Final Potential Energy = 49 * 120

Final Potential Energy = 5880 ft-lbs

Finally, we can find the work done in lifting the rope up 20 ft:

Work Done = Initial Potential Energy - Final Potential Energy

Work Done = 5981.43 - 5880

Work Done = 101.43 ft-lbs

Therefore, the work done in pulling the rope up 20 ft is 101.43 ft-lbs.

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Answer:

A) SSS

Step-by-step explanation:

The triangles are congruent by SSS rule

WC = FY

MC = FP

WM = YP

Answer:

x = 109

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezoid.

The lower base angle is supplementary to the upper base angle on the same side, thus

x + x - 38 = 180 , that is

2x - 38 = 180 ( add 38 to both sides )

2x = 218 ( divide both sides by 2 )

x = 109

Answer:

A. Always

Step-by-step explanation:

:)

Answer:

Always

Natural Numbers and Whole Numbers are both always rational. The answer is rational.

Hope it helps!

Answer:

12

Step-by-step explanation:

So there is 3:5 right, so 20 divided by 5 equals 4, there are four 5's in 20.  Then 4 multiplied by 3 equals 12. So there are 12 students that has BROWN EYES.

Hope I Helped You :)

Answer:

it is c

i had this test pls marek me brainlyesest

Answer:

Your awnser is C.

Step-by-step explanation:

.

If there are two independent variables that are measured and one dependent variable that is measured, then the multiple regression method will use

Given,

The conditions

We know

In multiple regression method the dependent variables are predicted by using the known independent variables. This method is usually used to analyze the relationship between multiple independent variables and one independent variables,

So here multiple regression method is using.

Hence, if there are two independent variables that are measured and one dependent variable that is measured, then the multiple regression method will use

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Given:

To find the factors:

The given equation can be written as,

Hence, the factors are 2,(x+4), and (x+6).

The polygon will have 9 sides.

The required polygon is a nonagon.

A polygon is named on the basis of the number of sides it has, as a polygon having 5 sides is a pentagon, a polygon having 6 sides is a hexagon, a polygon having 7 sides is a heptagon, and so on., and the addition of their interior angles is (n - 2) 180°.

To identify the polygon, we need to know the number of sides of the polygon. We know that the sum of internal angles of an n - sided polygon is

(n - 2) 180°.

For the given polygon, the internal angles added up to 1260 degree. Equate  (n - 2) 180° to 1260 degree and solve the resulting equation for n.

(n - 2) 180° = 1260°

n - 2 =  1260°/ 180°

n - 2 = 7

n = 7 + 2

n = 9

The given polygon will have 9 sides.

=> The required polygon is a nonagon.

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Answer: The answer is (C

Step-by-step explanation:

Answer:

its 67...... ...........

Answer:

it's 67°

Step-by-step explanation:

48°+90°=(2x+4). reason is vertically opposite angles are equal

The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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The polynomial function with roots 3 and 2 + √6 is f(x) = (x - 3)(x - (2 + √6)). The polynomial function with roots 4 and 7i is f(x) = (x - 4)(x - 7i)(x + 7i). The polynomial function with roots √11 and 1/4 is f(x) = (x - √11)(x - 1/4).

To find a polynomial function with given roots, we can use the fact that if a number r is a root, then (x - r) is a factor of the polynomial. For the first case, roots 3 and 2 + √6 give us (x - 3) and (x - (2 + √6)) as factors. For the second case, roots 4 and 7i (with -7i as the conjugate) result in (x - 4), (x - 7i), and (x + 7i) as factors. Lastly, roots √11 and 1/4 provide (x - √11) and (x - 1/4) as factors. Combining these factors, we obtain the respective polynomial functions.

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The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.

We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".

Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:

|r1 - r2| = √(61) / 3

The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.

We can express the difference between the roots in terms of the sum and product of the roots as follows:

r1 - r2 = √((r1 + r2)² - 4r1r2)

Substituting the expressions we obtained earlier, we have:

r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))

Simplifying, we get:

r1 - r2 = √((25 / a²) + (12 / a))

Taking the absolute value of both sides, we get:

|r1 - r2| = √((25 / a²) + (12 / a))

Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:

√((25 / a²) + (12 / a)) = √(61) / 3

Squaring both sides and simplifying, we get:

25 / a² + 12 / a - 61 / 9 = 0

Multiplying both sides by 9a², we get:

225 + 108a - 61a² = 0

Solving this quadratic equation for "a", we get:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)

Since "a" must be positive, we take the positive root:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83

Therefore, the value of "a" is approximately 1.83.

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The question is -

Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?

The graph that passes through the points (4,16) and (6,12) , the equation of trend line is K = -2J + 24 .

A linear relationship is depicted by a trend line. Y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept, is the equation for a linear relationship.

a graph line indicating the general path that a collection of points appears to take.

When plotting predictions, trendlines, also referred to as lines of best fit or regression lines, are frequently used to graphically represent trends in data series. Typically, a trendline is a line or curve that crosses or links two or more points in a series to indicate a trend.

From the graph that passes through the points (4,16) and (6,12) , the equation of trend line is K = -2J + 24.

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The study is most likely attempting to establish is Criterion validity and the study featured a(n) scale of measurement is Ordinal scale.

10). The study is most likely attempting to establish is: By criterion validity.

Criterion validity measures how well one measure predicts the outcome for another measure.

Here, we are judging how well the scores on the employment test predict the performance of the person.

Nominal Scale: This scale is used to assign labels to variables that have no numerical values.

For eg : Gender (male and female) , colour (brown blue black white)

Ordinal scale: It matters how the values are arranged, but it makes no difference how much they differ.

For eg: 1: Food applications rated from 1 to 5, 5 being the best. If a app is rated as 2 and other is rated as 4 does not mean the later is twice as good as the first.

Interval scale: An interval scale is a numerical scale where the order and size of the difference between the numbers are known. Absolute zero does not indicate absence in an interval scale, it only means there is no value.

For eg: Temperature in degree Celsius. If T1=5o Celsius  and T2=15o Celsius this means is a temperature difference of 10o , but with T3=0o does not mean there is no temperature.

Ratio scale: The ratio scale is another numerical scale where the order and size of the difference between the values are known, and where absolute zero denotes the absence of values.

For eg: Salary of people

11). The study featured a(n)scale of measurement is: By ordinal scale

We will rank the chairs on a scale where order counts and the size of the difference is not particularly significant.

Hence, for 10th the option A is correct and for 11th the option B is correct.

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The line which contains the points (4,0) and (0,-2), value of y when x =3 is,  -1/2

The equation of a straight line is a relationship between x and y coordinates, The two point form of a straight line is y-y₁ =  y₂-y₁/x₂-x₁(x-x₁).

Given that,

The points, (4,0) and (0,-2)

Equation of line for given two points,

y-y₁ =  y₂-y₁/x₂-x₁(x-x₁)

y-0 =  -2 - 0/0-4(x-4)

y = 1/2(x - 4)

2y = x - 4

when x = 3,

y =  1/2(3 - 4)

y = - 1/2

Hence, the value of y is -1/2

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