Which best describes the product of these two radicals?
√2-√7

The product is rational because both V2 and V7 are rational numbers,

The product is irrational because both 2 and 7 are irrational numbers.

The product is rational because at least one factor is rational,

The product is irrational because one of the factors is an odd number.

Answer:

A = 262

Step-by-step explanation:

A=2(wl+hl+hw)=2·(8·7+5·7+5·8)=262

The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

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Answer: neither are functions

Step-by-step explanation:

The value for x in the equation x over 5 and 7 tenths equals 2 and 3 tenths is 13.11.

In algebra, we often deal with equations with unknown values ​​represented by variables. To solve such an equation, we need to find the values ​​of the variables.

A one-step equation is an algebraic equation that can be solved in just one step. Solve it and you've found the values ​​of the variables that make the equation true. To solve a one-step equation, perform the inverse (reverse) of the operation performed on the variable to get the variable itself.

For the given case, the  equation can be written as follows:

\(\frac{x}{5\frac{7}{10} }\) = \(2\frac{3}{10}\)

x = \(5\frac{7}{10}\) × \(2\frac{3}{10}\)

x = 5.7 × 2.3

x = 13.11

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a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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The probability of a student doing well on an exam given that they spend time reading is approximately 0.983 or 98.3%.

To calculate the probability of a student doing well on an exam given that the student spends time reading, we need to use conditional probability.

Let's denote:

P(R) as the probability of a student spending time reading (P(R) = 0.59),

P(E) as the probability of a student doing well on an exam (P(E)),

P(E|R) as the probability of a student doing well on an exam given that they spend time reading (P(E|R) = 0.58).

The formula for conditional probability is:

P(E|R) = P(E and R) / P(R).

Given that P(E and R) = 0.58 (the probability of a student doing well on an exam and spending time reading) and P(R) = 0.59 (the probability of a student spending time reading), we can substitute these values into the formula:

P(E|R) = 0.58 / 0.59 = 0.983.

Therefore, the probability of a student doing well on an exam given that the student spends time reading is approximately 0.983 or 98.3%.

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Answer:

726 minutes

Step-by-step explanation:

Answer:

its 726

Step-by-step explanation:

Answer:

75% no? I feel like some numbers are missing but she'll pay 75%

The value of g(5) is 20.899 when the function with first derivative is  g′(x)=√(x³ + x), option D is correct.

A differential equation is an equation that involves one or more functions and their derivatives.

To find the value of g(5), we need to integrate the given first derivative g′(x) and then evaluate the function g(x) at x = 5.

Let's find the antiderivative (integral) of g′(x):

∫√(x³ + x) dx

To evaluate this integral, we can use the substitution method.

Let u = x³ + x.

Differentiating both sides with respect to x, we get:

du/dx = 3x² + 1

dx = du / (3x² + 1)

Substituting these values, we have:

g(x) = ∫√u × (du / (3x² + 1))

Now, we can evaluate the integral in terms of u:

g(x) = ∫√u / (3x² + 1) du

To simplify this integral, let's express it in terms of u:

g(x) = ∫√u / (3x² + 1) du

To find g(x), we need to evaluate this integral.

Performing the integral, we have:

\(g(x) = (2/9) (3x^2 + 1)^(^3^/^2^) + C\)

Now, we can apply the initial condition g(2) = -7:

\(-7 = (2/9) (3(2^2) + 1)^(^3^/^2^) + C\)

\(-7 = (2/9)(13)^(^3^/^2^) + C\)

Solving for C:

\(C = -7 - (2/9) (13)^(^3^/^2^)\)

Now, we have the expression for g(x):

\(g(x) = (2/9)(3x^2 + 1)^(^3^/^2^) - (2/9)(13)^(^3^/^2^) - 7\)

To find g(5), we substitute x = 5 into this expression:

\(g(5) = (2/9) (3(5^2) + 1)^(^3^/^2^) - (2/9)(13)^(^3^/^2^) - 7\)

Calculating this expression, we find:

g(5) = 20.899

Hence, the value of g(5) is 20.899.

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The correct answer is (e) $5 \cdot 10^3 \cdot 26^3$, which represents the total number of distinct license plates possible with 4 digits and 2 letters, where the letters must appear next to each other.

To determine the number of distinct license plates possible, we need to consider the number of choices for each character position.

There are 10 possible choices for each of the four digit positions, as there are 10 digits (0-9) available.

There are 26 possible choices for each of the two letter positions, as there are 26 letters of the alphabet.

Since the two letters must appear next to each other, we treat them as a single unit, resulting in 5 distinct positions: 1 for the letter pair and 4 for the digits.

Therefore, the total number of distinct license plates is calculated as:

Number of distinct license plates = (Number of choices for digits) * (Number of choices for letter pair)

= 10^4 * 5 * 26^2

= 5 * 10^3 * 26^3

The correct answer is (e) $5 \cdot 10^3 \cdot 26^3$, which represents the total number of distinct license plates possible with 4 digits and 2 letters, where the letters must appear next to each other.

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Step-by-step explanation:

yes

15/40 = (15÷5)/(40÷5)

= 3/8

Answer: 2nd one down

Step-by-step explanation:

The number of white daffodils 39.6. To determine the number of white daffodils that go with 99 yellow daffodils using addition, we need the ratio between white daffodils and yellow daffodils.

Without the specific ratio, we cannot calculate the exact number. However, if we have the ratio, we can proceed as follows:

Let's assume the ratio of white daffodils to yellow daffodils is 2:5 (2 white daffodils for every 5 yellow daffodils).

To find the number of white daffodils, we can set up a proportion:

2 white daffodils / 5 yellow daffodils = x white daffodils / 99 yellow daffodils

Now, cross-multiply:

(2 white daffodils) * (99 yellow daffodils) = (5 yellow daffodils) * (x white daffodils)

198 white daffodils = 5x

To isolate x (the number of white daffodils), divide both side by 5:

198 white daffodils / 5 = x

x = 39.6 white daffodils

Since we cannot have a fraction of a daffodil, we would round the result. In this case, it would depend on the context or any specific instructions given.

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Answer:

y=6x-2

Step-by-step explanation:

I THINK I DID THIS LAST YEAR SO IM NOT COMPLETELY SURE HOPE THIS HELPS:)

Answer:

y=1.2x-2

Step-by-step explanation:

add 6x to both sides (5y = 6x-10)

divide both sides by 5 (y = 1.2x - 2)

one point you will find on (0,-2) and another point will be (5,4)

you need at least 2 points to graph the line

The given population is 10%.

If the 10 % condition is met, a binomial distribution can be used to approximate the number of successes in a simple random sample. The 10% condition requires that the sample represents less than 10% of the population. Despite the fact that the sample size is far too tiny in comparison to the population, it is reasonable to infer that the trials of occurrences are independent. This suggests that the sample size n must be smaller than 10% of the population size N in this situation.

According to the 10% condition, sample sizes shouldn't exceed 10% of the population. Check the condition whenever samples are involved in statistics to make sure your findings are reliable. If you want to employ a typical normal model, some statisticians contend that a condition of 5% is preferable to a condition of 10%.

Hence we get the required answer.

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Three true statements about the angles of the given figure are,

1. angle 1 and the 55 degree angle are adjacent.

5. angle 1 = 180 degree - 55 degree

6. angle 2 = 180 degree - 55 degree - 45 degree.

Complementary angles are two angles whose measures add up to 90 degrees. For example, an angle of 45 degrees and an angle of 45 degrees are complementary. When two angles are complementary, they form a right angle. The symbol for complementary angles is ∠A + ∠B = 90°.

Acute angles are angles whose measure is less than 90 degrees. They are sharp angles that are less than a right angle. On the other hand, obtuse angles are angles whose measure is greater than 90 degrees. They are angles that are greater than a right angle and less than 180 degrees. In other words, obtuse angles are angles that are wider than a right angle but less than a straight angle.

Analysing all the statements given in the question,the corrrect options are

Option 1, since angle 1 and 55 degree share the same vertex.

Option 5, since the sum of angle 1 and 55 degree is 180 degrees being supplementary angles.

Option 6, since the sum of all the interior angles of a triangle is 180 degrees.

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From interpretation of the given graph, we can say that the equation given as ¹/₂(2x + 8) = x + 4 has no solution

We are given the equation as;

¹/₂(2x + 8) = x + 4

Now, expanding the bracket using distributive property gives us;

x + 4 = x + 4

Since left hand side is equal to right hand side, then it means that the equation has no solution.

Now, looking at the given graph, we can see that the line of both equations overlap each other which means they don't intersect to provide a solution.

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Answer:

X=3, y=5

Step-by-step explanation:

3x + y = 14 equation 1

y=5 equation 2

3x + 5 = 14.    substitute value of y from equation 2 into equation 1

3x=9

x-3

The height of the building is 71 meters.

We can solve this problem using the similar triangles. The height of the building can be determined by setting up the following proportion:

(the height of pole) / (length of pole's shadow) = (height of building) / (length of building's shadow)

Substituting the given values:

2.8 / 1.49 = (height of building) / 37.5

To find the height of the building, we can cross-multiply and solve for it:

(2.8 * 37.5) / 1.49 = height of building

Calculating the expression on the right side:

(2.8 * 37.5) / 1.49 ≈ 70.7013

Rounding to the nearest meter, the height of the building is approximately 71 meters.

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Answer:

this is the answer $32 is 8 usd off

Step-by-step explanation:

40-20%=32

The sides for both triangles are always proportional by a factor of 2, this means that by the postulate AAA we can determine tha they're similar. The correct answer is the second option.

Answer:

3 is vertical angles

1 is same side interior

2 is corresponding angles

4 is straight angles

Step-by-step explanation:

Answer:

Chris bought the game for 35 after the 30 percent discount  

30 percent of 35 is 10.5

35+10.5 is 40.5

40.5 is the original price before discount!

Step-by-step explanation:

Answer:

10 : 0.02 (20m)

Answer:

y=-5x+19

Step-by-step explanation:

The largest possible value in the list is 35.

What is mean, median and mode?

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.

Given: There is a list of 11 positive integers.

Has a mean of 10, a median of 9 and a unique mode of 8.

Since the mode (8) is less than the median (9), the mode can only appear (at most) 5 times since the mode is the 6th number in the list (assuming the list has been sorted in ascending order).

If so, the first five numbers can be 8, the following four numbers can be 9, and the next greatest number can be 10, which means the largest number must be 110 - (8 x 5 + 4 x 9 + 10) = 110 - 86 = 24.

The largest number must be 110 - 77 = 33 if the mode repeats just twice, in which case we can let the first ten numbers be 1, 2, 3, 8, 8, 9, 10, 11, and 13, totaling 77.

The biggest number in this scenario is 110 - 75 = 35 if the mode repeats itself three times. Alternatively, we can let the first ten numbers be 1, 1, 8, 8, 8, 9, 10, 10, and 11 totaling 75.

Therefore, the largest possible value of an integer in the list is, 35.

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The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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