a 5-card poker hand is dealt from a well shuffled regular 52-card playing card deck. find the probability that the hand is a straight flush (5 cards in a sequence in a single suit, but not a royal flush).

Answer:

3 + 2 = 5

Step-by-step explanation:

Remember Commutative Property by thinking about what happens when someone has to "commute" (driving back and forth to work or school) If the numbers in the addition MOVE then it is Commutative Property.

Answer:

12

Step-by-step explanation:

There are 28 spaces between -2 and 26. You only have 3 actual numbers between them. If you subtract 26 by 7 four times(since you are also counting the number -2) you get -2. Therefore, if you subtract 7 from 26 two times, you get the third number, which is 12.

It's a little complicated, but if you work it out, it makes sense

Answer:

The rate of change would be $3.50 per gallon.

Step-by-step explanation:

In the graph depicted in the picture, when the number of gallons increases by 2, the price increases by $7. Since the graph maintains a constant rate of change, that means the rate of change would be \(\frac{7}{2}\) or $3.50 per gallon.

Answer:

Step-by-step explanation:

Slope = (6-3)/(2-1) =3

By verifying if their coordinates satisfy the equation \(x^2 + y^2 = 1,\) we can determine which points could be on the unit circle.

The unit circle is a circle with a radius of 1 centered at the origin (0,0) in a Cartesian coordinate system. Points on the unit circle can be represented by coordinates (x, y), where x and y denote the horizontal and vertical distances from the origin, respectively.

To determine if a point lies on the unit circle, we check if its coordinates satisfy the equation \(x^2 + y^2 = 1\). This equation is derived from the Pythagorean theorem, which relates the lengths of the sides of a right triangle.

In the context of the unit circle, it states that the sum of the squares of the coordinates of any point on the circle is equal to 1. By verifying whether the given points satisfy this equation, we can determine which of them could be points on the unit circle.

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To show that the given linear programming problem is infeasible, we can construct a Phase 1 linear programming problem and demonstrate that its optimal solution does not remove all the artificial variables from the basis.

Introduce artificial variables Add artificial variables a1, a2, and a3 to each constraint to convert the inequality constraints into equations. Modify the objective function to minimize the sum of these artificial variables. Solve the Phase 1 linear programming problem, Solve the Phase 1 problem by applying the simplex method to find the optimal solution.

The given linear programming problem can be shown to be infeasible by constructing a Phase 1 linear programming problem and demonstrating that its optimal solution does not remove all the artificial variables from the basis. In the Phase 1 problem, we introduce artificial variables a1, a2, and a3 to each constraint, converting the inequality constraints into equations. Additionally, the objective function is modified to minimize the sum of these artificial variables. By applying the simplex method to solve the Phase 1 problem, we can find the optimal solution. At this optimal solution, we check if any artificial variable remains in the basis.

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This question was not correctly written

Correct Question

A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 84 toothbrushes. What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover? Describe the contents of each bag.

Answer:

What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover?

28 identical dental care bags

Describe the contents of each bag.

2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes.

Step-by-step explanation:

We solve for this using greatest common factor method

Step 1

Find the factors of 56, 84 and 112

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 112 are: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

The greatest common factor amongst them is = 28

Hence, the greatest number of identical dental care bags the dentist can make with the least amount of items leftover is 28 bags.

Describe the contents of each bag.

Each bag should contain 2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes.

Answer: $15

Step-by-step explanation:

6 times 10 = 60

(6 is tickets, $10)

He has $45 but needs $15 more dollars to pay.

60-45=15

Under the linear assumption of temperature and altitude, the temperature outside the plane is - 24 °C.

In this problem we must determine the temperature outside the plane on the assumption that the temperature decreases linearly with the altitude:

T(z) = T' + (ΔT / Δz) · z

Where:

If we know that T' = 11, Δz = 1 and ΔT = - 7, then the temperature at an altitude of 5 kilometers is:

T(5) = 11 + (- 7 / 1) · 5

T(5) = 11 - 35

T(5) = - 24

The temperature outside the plane is - 24 °C.

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The relationship between the heights of two right circular cylinders with the same volume. The radius of the second cylinder increases, its height must decrease to maintain the same volume as the first cylinder.

In order to find the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius, and h is the height of the cylinder.

Given that both cylinders have the same volume, let's denote their volumes as V1 and V2, their radii as r1 and r2, and their heights as h1 and h2. The given information states that r2 > r1. We can now write the equations for the volumes of the two cylinders:

V1 = π(r1)²h1
V2 = π(r2)²h2

Since V1 = V2, we can set the two equations equal to each other:

π(r1)²h1 = π(r2)²h2

We can now solve for the relationship between the heights of the two cylinders:

h1/h2 = (r2/r1)²

This equation shows that the ratio of the heights of the two cylinders is equal to the square of the ratio of their radii. As the radius of the second cylinder is greater than the radius of the first (r2 > r1), the height of the second cylinder will be less than the height of the first (h2 < h1). In other words, as the radius of the second cylinder increases, its height must decrease to maintain the same volume as the first cylinder.

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Answer:

Two-digit number ab: a = b + 2

20, 31, 42, ..., 97 ==> 8 numbers

b = a + 2, 8 numbers

8 + 8 = 16 numbers

Step-by-step explanation:

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Answer:

1oz =29.5735ml

Step-by-step explanation:

Multiply your fluid ounces number by 29.5735 to convert US fluid ounces to millilitres. Multiply your number by 28.4131 if you're using British Imperial fluid ounces as your unit of measurement. The British Imperial ounce is somewhat smaller than the US fluid ounce.

Even though one fluid ounce is slightly less than 29 millilitres, the numbers on nutrition labels are rounded up to 30. In the US, a fluid ounce is a unit of volume. Both fl oz and fluid ounces are acceptable abbreviations for fluid ounces.

The ratio of 1 fluid ounce to 29.57353193 millilitres is known as the ounce-to-millilitre conversion factor.

An ounce is a unit of weight that is equal to 480 grains, or 1/12 pound, in the troy and apothecaries' systems and 1/16 pound (437 1/2 grains) in the avoirdupois system.

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Answer:

Step-by-step explanation:544

Answer:

total weight of wheat and rice is 8 kg

Step-by-step explanation:

rice = \(3\frac{3}{2}\)

=3*2+3/2

=9/2

wheat = \(2\frac{1}{2}\)

=2*2+1/2

=5/2

total weight of wheat and rice = \(\frac{7}{2} + \frac{9}{2}\)

since their denominator are same u can add numerators.

=7 +9/2

=16/2

=8

Answer:  16

Step-by-step explanation:

Vertical Angles:When you have 2 intersecting lines the angles across they are equal

65 = 4x + 1                    >Subtract 1 from sides

64 = 4x                         >Divide both sides by 4

x = 16

Answer:

16

Step-by-step explanation:

4x + 1 = 64. Simplify that and you get 16.

Answer:

The answer is 3

Step-by-step explanation:

If you combine like terms you get 22x - 6 = 60

Then you set the numbers and x's apart = 22x = 66

Then you divide and get 3

Answer:

C

Step-by-step explanation:

basically see where each dot is and the number its beside and the number its above answer for example the first one is in between 20 and 30 so its 25 and its above 1  so it would 1, 25 u just do that for all the dots :)

Answer:

6

Step-by-step explanation:

3*18 is 54 and 54/9 is 6 so n=6

The median is the middle value in a set of data when the values are arranged in ascending or descending order.

Here's how you can obtain the missing value:

1. Determine the known values: Identify the values you have in the dataset, excluding the missing value. Let's call the known values n.

2. Calculate the number of known values: Count the number of known values in the dataset and denote it as k.

3. Determine the position of the median: If the dataset has an odd number of values, the median will be the middle value. If the dataset has an even number of values, the median will be the average of the two middle values.

4. Identify the missing value's position: Determine the position of the missing value relative to the known values.

If the missing value is before the median, it will be located at position (k + 1) / 2. If the missing value is after the median, it will be located at position (k + 1) / 2 + 1.

5. Obtain the missing value: Now that you have the position of the missing value, you can determine its value by looking at the known values.

If the position is a whole number, the missing value will be the same as the value at that position.

If the position is a decimal fraction, the missing value will be the average of the values at the two nearest positions.

By following these steps, you can obtain the missing value when the median and the other values in the dataset are provided.

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Answer:

X=60

Step-by-step explanation:

Hello There!

The angle labeled 80 and the angles labeled x and 20 are alternate interior angles meaning that they are congruent

So

80=20+x

step 1 subtract 20 from each side

80-20=60

we're left with

x=60

Answer:

NO. Ada is not correct.

Step-by-step explanation:

Using Pythagorean Theorem, find the length of the diagonal of the rectangle and the square, respectively.

✔️Diagonal of the Rectangle:

\( a^2 + b^2 = c^2 \)

Where,

a = 8 in.

b = 16 in.

c = hypotenuse (longest side of a right ∆)

Plug in the values into the equation

\( 8^2 + 16^2 = c^2 \)

\( 64 + 256 = c^2 \)

\( 320 = c^2 \)

Take the square root of both sides

\( \sqrt{320} = \sqrt{c^2} \)

\( 17.9 = c^2 \) (nearest tenth)

Length of diagonal SQ = 17.9 in

✔️Diagonal of the Rectangle:

\( a^2 + b^2 = c^2 \)

Where,

a = 8 in.

b = 8 in.

c = hypotenuse (longest side of a right ∆)

Plug in the values into the equation

\( 8^2 + 8^2 = c^2 \)

\( 64 + 64 = c^2 \)

\( 128 = c^2 \)

Take the square root of both sides

\( \sqrt{128} = \sqrt{c^2} \)

\( 11.3 = c^2 \) (nearest tenth)

Length of diagonal OM = 11.3 in.

SQ is not two times the length of OM.

Therefore, Ada is not correct.

Answer:

No Ada is not correct

Step-by-Step Explanation:

The length of diagonal SQ is not two times the length of diagonal OM. When you split the rectangle using the diagonal you can make a right triangle and use the Pythagorean Theorem to the rest of it. 

This would be the Rectangle:

a^2+b^2=c^2

8^2+16^2=c^2

64+256+c^2

320=c^2

√320

17.8

This would be the Square: 

a^2+b^2=c^2

8^2+8^2=c^2

64+64=c^2

128=c^2

√128

11.3

Now when I divide these answers that I came up with I get 1.7 which is not equal to 2 therefore SQ is not two times bigger than OM. 

I hope this helped :3

Answer:

  1728 in³

Step-by-step explanation:

You want the volume in cubic inches of a cubic foot.

The volume of a cube is equal to the cube of its edge dimension. The cube with edge 12 inches will have a volume of ...

  V = s³

  V = (12 in)³ = 1728 in³

A cubic foot is a volume of 1728 cubic inches.

__

Additional comment

Perhaps this illustrates for you why the volume varies as the cube of the dilation factor. 1 in³ × 12³ = (12 in)³ = 1728 in³

Rounded to four decimal places, the p-value is 0.0844.

To determine the p-value for this hypothesis test, we need to follow these steps:

Step 1: State the null and alternative hypotheses.

Null hypothesis: The percentage of readers who own a laptop is 26%.

Alternative hypothesis: The percentage of readers who own a laptop is different from 26%.

Step 2: Determine the test statistic.

We can use a z-test for proportions since we have a large enough sample size and we know the population proportion. The formula for the test statistic is:

z = (p - p) / √(p(1-p) / n)

where p is the sample proportion, p is the hypothesized population proportion, and n is the sample size.

Using the given values, we have:

z = (0.17 - 0.26) / √(0.26(1-0.26) / 100)

z = -1.72

Step 3: Determine the p-value.

Since this is a two-tailed test, we need to find the area in both tails of the standard normal distribution that corresponds to a z-score of -1.72. Using a table or a calculator, we find that the area in the left tail is 0.0422 and the area in the right tail is also 0.0422.

Therefore, the p-value is the sum of the areas in both tails:

p-value = 0.0422 + 0.0422

p-value = 0.0844

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Answer:

x=2/3

Step-by-step explanation:

Hope this helps

Stay safe:)

Answer:

I hope you got an answer dude

Answer:

p/rn to the third root of 1^rnt

Step-by-step explanation:

I just this on my edmentum/ plato course so its right

Answer:

slope: -2

y intercept: 3

Step-by-step explanation:

The linear optimization problem is to maximize the objective function 250x + 150y, subject to the constraints x + y ≤ 60, 3x + y ≤ 90, and 2x + y > 30, where x and y are both greater than or equal to 20.

The feasible region can be determined by graphing the constraints and finding the overlapping region that satisfies all the conditions. In this case, the feasible region is the area where the lines x + y = 60, 3x + y = 90, and 2x + y = 30 intersect. This region can be visually represented on a graph.

To find the corner points of the feasible region, we need to find the points of intersection of the lines that form the constraints. By solving the systems of equations, we can find that the corner points are (20, 40), (20, 60), and (30, 30).

The optimal solution and the optimal objective function value can be determined by evaluating the objective function at each corner point and selecting the point that yields the maximum value. By substituting the coordinates of the corner points into the objective function, we find that the maximum value is achieved at (20, 60) with an objective function value of 10,500.

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