A two-digit integer is randomly selected. What is the probability that its digits are

different? Express your answer as a common fraction.

With 99% certainty, we can state that the true population mean for the time it takes grass seed to germinate is between 32.69 and 39.31 days.

We will apply the following formula to determine the confidence interval for the population mean:

Sample mean minus margin of error yields the confidence interval.

where,

Margin of error is equal to (critical value) x (mean standard deviation).

A t-distribution with n-1 degrees of freedom (where n is the sample size) and the desired confidence level can be used to get the critical value. The critical value is 2.878 with 18 degrees of freedom and a 99% level of confidence.

The population standard deviation divided by the square root of the sample size yields the standard error of the mean.

The standard error of the mean in this instance is:

Mean standard deviation is = 5 / \(\sqrt{(19) }\) = 1.148.

Therefore, the error margin is:

error rate = 2.878 x 1.148

= 3.306.

Finally, the confidence interval can be calculated as follows:

Confidence interval is equal to 36 3.306.

= [32.69, 39.31].

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Answer:

8

Step-by-step explanation:

the denominator of 5/8 is 8

the denominator of 3/4 is 4

4 can be multiplied by 2 to get 8. If we multiply the entire fraction by 2/2, the fraction changes into 6/8

Now 5/8 and 6/8 share the same denominator and it's the smallest denominator shared between the two.

Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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the total money spent by fred is 41.50 $

the cost of the pot is 29 $

and he buys plants of the remaining money

so, remaining money is, 41.50 - 29 = 12.50$

it is given that the cost of a plant is 2.50$

so, in 12.50$ the number of plant he bought is,

12.50/2.50 = 5 plants

thus, he bought 5 plants.

The statement is false because the element 2 does not meet the criteria of being an integer greater than 13.

To determine if {2} is an element of the set of integers greater than 13, we need to analyze the statement.

The set of integers greater than 13 can be represented as {x | x ∈ ℤ, x > 13}. This set contains all integers that are greater than 13.

Now, let's check if the element 2 is in this set. Since 2 is not greater than 13, it does not satisfy the condition x > 13. Therefore, {2} is not an element of the set of integers greater than 13.

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Answer:

A

Step-by-step explanation:

using the rule of radicals

\(\sqrt{ab}\) = \(\sqrt{a}\) × \(\sqrt{b}\)

note that 0.231 × 100 = 23.1

given

\(\sqrt{23.1}\)

= \(\sqrt{100(0.231)}\)

= \(\sqrt{100}\) × \(\sqrt{0.231}\)

= 10 × k

= 10k

The value of √23.1 using the value √0.231 = k is 10k.

Thus, option (A) is correct.

Let's first find the value of "k" when √0.231 = k:

√0.231 = k

Now, the value of √23.1 using the value of "k":

√23.1 = √(10 × 2.31)

As √2.31 = k, substitute it in:

√23.1 = √(10 × 2.31)

         = √10 × √2.31

         = 3.162 × √2.31

Also, √2.31 = 1.52

So, the required value

√23.1 = 3.162 × 1.52

          = 4.807

let's check the given options to find the closest value to 4.807:

A. 10k = 10 × √0.231 = 4.807.

B. 0.1k = 0.1 × √0.231  = 0.04806

C. 100k = 100 × √0.231 = 48.06  

D. 20k = 20 × √0.231 = 9.6124

Therefore, The value of √23.1 is 10k.

Thus, option (A) is correct.

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Answer:

8

Step-by-step explanation:

2 : 1/4

2 x 4/1

2 x 4

8

happy belated birthday!

Answer: the person above is wrong

Step-by-step explanation: Some ratios are not fractions.

and All fractions are ratios

The majority rule of voting states that the number of votes needed for a majority is one more than the total number of votes.

The total number of votes in this problem is given as follows:

8 + 5 + 3 + 1 + 2 = 19.

Hence the number of votes needed for the majority is given as follows:

0.5 x 19 = 9.5 -> add one to the integer part = 10.

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=πr^2h

=π(5)^2*11

=25*11π

=275π yd^3

Answer:

theodd1sout pretty cool guy

Answer:

the odd ones out

Step-by-step explanation:

this line does not pass through the origin (0, 0), since the vector x = [0, 0] does not satisfy the equation Ax = b.

One possible example is:

A = [[1, 2], [2, 4]]

b = [3, 6]

The solution set of Ax = b is the set of all vectors of the form x = [x1, x2] such that:

x1 + 2x2 = 3

2x1 + 4x2 = 6

Solving this system of equations, we get:

x1 = 3 - 2x2

x2 = x2

So the solution set is the set of all vectors of the form x = [3 - 2x2, x2]. This is a line in R² with slope -2 and y-intercept (3, 0)

Note that this line does not pass through the origin (0, 0), since the vector x = [0, 0] does not satisfy the equation Ax = b.

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Answer: -4

—

3

Step-by-step explanation:

Answer:

-1.333

Step-by-step explanation:

The change in position for x is -4, the change in position for y is 3, -4/3 = -1.333

The volume of the solid generated by revolving the triangular region bounded by the lines y=2x, y=0, and x=1 about the line x=1 is (16π/15) cubic units.

When revolving the triangle about x=1, the resulting solid is a right circular cone with its apex at the point (1, 2) and its base being the circular region generated by the triangle. The volume of a cone is given by V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. In this case, the radius is the distance from the point (1, 2) to the line x=1, which is 1 unit. The height of the cone is the distance from the point (1, 2) to the point (1, 0), which is 2 units. Plugging these values into the formula, we get V = (1/3)π(1²)(2) = (2π/3) cubic units.

The volume of the solid generated by revolving the triangular region bounded by the lines y=2x, y=0, and x=1 about the line x=2 is (8π/15) cubic units. When revolving the triangle about x=2, the resulting solid is also a right circular cone. However, the apex of the cone is now at the point (2, 4) and the radius of the base is 2 units, as it is the distance from the point (2, 4) to the line x=2.

The height of the cone remains the same, which is 2 units. Applying the volume formula, V = (1/3)π(2²)(2) = (8π/3) cubic units. However, we need to subtract the volume of the cone that lies outside the region bounded by the triangle. This extra volume is a smaller cone with radius 1 unit and height 2 units. Its volume is (1/3)π(1²)(2) = (2π/3) cubic units. Subtracting this extra volume, we get the final volume V = (8π/3) - (2π/3) = (6π/3) = (2π) cubic units.

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Answer:

-3

Step-by-step explanation:

Here,

x = -3 and y = 9

Now , let's solve

Step 1 :- Put the value of x and y in the expression .

Step 2 :- Expand exponent.

Step 3 :- Subtract 6 from 9.

Answer:

6 sacks

Step-by-step explanation:

Buying Price = $1200

Selling Price = $1500

Total profit = Selling price - Buying Price

= $1500 - $1200

= $300

Given that the profit on each sack of tea is $50

Number of Sacks of Tea = Total Profit ÷ profit per sack

= $300 ÷ 50

= 6 sacks

The number of sacks of tea he has is 6.

The first step is to determine the total profit earned by the trader. Profit is the selling price less the cost price.

Profit = selling price - cost price

$1500 - $1200 = $300

The second step is to divide the total profit by the profit made per sack of tea.

Number of sacks = $300 / $50 = 6

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The probability that Linda's omelet will contain at least one Salmonella-contaminated egg is approximately 0.4213 or 42.13%.

We have,

To calculate the probability that Linda's omelet will contain at least one Salmonella-contaminated egg, we can use the concept of complementary probability.

The complementary event to "at least one Salmonella-contaminated egg" is "no Salmonella-contaminated eggs."

The probability of no Salmonella-contaminated eggs in a three-egg omelet is (5/6) x (5/6) x (5/6) since each egg has a 1/6 probability of not being contaminated.

Therefore,

The probability of at least one Salmonella-contaminated egg is:

= 1 - (5/6) x (5/6) x (5/6)

= 91/216 or approximately 0.4213.

Thus

The probability that Linda's omelet will contain at least one Salmonella-contaminated egg is approximately 0.4213 or 42.13%.

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The regular price of a ticket to the game was $204.00.

We can use algebra to solve the problem. Let x be the regular price of a ticket to the game.

We know that the group rate saved Mason $5.75 per ticket, so the regular price of a ticket is x + $5.75.

We know that Mason bought 16 tickets and paid a total of $296.00, so we can set up the following equation:

x + $5.75 = (x + $5.75) * 16 = 16x + $92

So the regular price of a ticket is x = $296.00 - $92 = $204.00

Therefore, the regular price of a ticket to the game was $204.00.

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False. very few tools are available to assist system analysts and end users in analyzing data.

There are many tools available to assist system analysts and end users in analyzing data. Some commonly used tools include spreadsheets (such as Microsoft Excel), data visualization software (such as Tableau or Power BI), statistical analysis software (such as R or SPSS), and business intelligence software (such as SAP or Oracle).

These tools allow analysts and end users to process, manipulate, and visualize large volumes of data, as well as to perform complex statistical analyses and modeling. Additionally, with the advent of big data technologies, such as Hadoop and Spark, analysts and end users can now analyze vast amounts of data in real-time, using distributed computing systems.

In summary, there are many tools available to assist system analysts and end users in analyzing data, and these tools continue to evolve and improve over time.

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The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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Answer:

m<OPQ = 58°

Step-by-step explanation:

Question:

In triangle NOP, NP is extended through point P to point Q, m<NOP = (x + 17)°, m<PNO = (2x - 4)°, and m<OPQ = (5x - 17)°. Find m<OPQ.

Solution:

Theorem

In a triangle, the measure of an exterior angle is equal to the sum of the measures of the remote interior angles.

In this triangle, angle OPQ is an exterior angle. Angles NOP and PNO are its remote interior angles.

m<NOP + m<PNO = m<OPQ

x + 17 + 2x - 4 = 5x - 17

3x + 13 = 5x - 17

-2x = -30

x = 15

m<OPQ = 5x - 17 = 5 × 15 - 17 = 58

Answer: m<OPQ = 58°

Answer:

18.445

Step-by-step explanation:

Multiply

Answer:

A

Step-by-step explanation:

If your PCR product size was 172 and there were 130 base pairs next to a 14 base pair repeat, then there are 3 repeats.

Given that the newly used primer amplifies 130 base pairs that are near

(a) 14 base pair and

(b) the size of the pcr product is 172

Size = (number of base pairs * number of repetitions) + Initial/Primer Amplicon Value

172 = (14 * x) + 130

172 -130 = 14x

42 = 14x

3 = x

Therefore, we can say that the PCR product has 3 repeats.

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Answer:

Southgate per hour total is 36 and glades is 39 per hour

The lcm of the two is 468 and 36x 13 is 468 and 39x12 is 468

Therefore 13hrs at Southgate and 12 hrs at glades

Answer:

13) Is a linear function. The points form a straight line

14) Is an exponential function. The points form a curved line.

Answer:

the answer would be 2.70 dollars I hope this helps you :)

Step-by-step explanation: