About 56% of the 2,553 students are enrolled
in at least one honors class. How many
students are enrolled in an honors class?

Answer:

2p²-5p+3 is the final answer as they aren't any like terms to collect in order to simply the solution further.

Step-by-step explanation:

Wishing you a splendiferous day,

stay salty...

Answer:

b

Step-by-step explanation: I have the answer key

Triangles that are identical in size and shape are said to be congruent triangles.

What is the congruent triangle?

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

Here, we have

Given: The figure below shows ∠CAD and angle bisector AE. Line segments ED and EC have been drawn to form ∠AED and ∠AEC.

Points C and D are equidistant from point A. Complete the following table to prove that ∠AEC ≅ ∠AED.

The complete proof for the given triangles can be written as,

1. Points C and D are equidistant from point A.

2. AD ≅ AC {Both C and D are at equidistance from A}

3. ∠CAE ≅ ∠DAE {AE is the angle bisector of ∠CAD}

4. AE ≅ AE {Common side of the triangles}

5. ΔEAD ≅ ΔEAC {Both triangles are congruent to each other}

Hence, Triangles that are identical in size and shape are said to be congruent triangles.

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Answer:

10

Step-by-step explanation:

by Pythagoras theorem,

PR^2=PQ^2+PR^2

Therefore,PR=√(PQ^2+PR^2)

=√(6^2+8^2)

=√100

=10

An exterior angle is an angle supplementary to one of the interior angles.  

In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.

In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.

Therefore angle D is not an exterior angle.

Option D is the correct one!

An exterior angle is an angle supplementary to one of the interior angles.  

We have given that,

Triangle E D F. A diagonal line is drawn from point D to form an angle.

Angle D is an exterior angle because it shares a side with the triangle.

Angle D is an exterior angle because it is not inside the triangle.

Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.

Angle D is not an exterior angle.

an exterior angle is an angle between one of the sides and the extension of an adjacent side.

In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.

Therefore angle D is not an exterior angle.

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The Boolean expression for A being scheduled in at least one of the three periods is XA1 OR XA2 OR XA3.

The Boolean expression for A not being scheduled in more than one period is (XA1 XOR XA2) AND (XA2 XOR XA3) AND (XA3 XOR XA1).

The Boolean expression for A and B not being scheduled in the same period is (XA1 XOR XB1) AND (XA2 XOR XB2) AND (XA3 XOR XB3).

(a) To evaluate whether class A is scheduled in at least one of the three periods, we use the OR operator between the three variables: XA1 OR XA2 OR XA3. If at least one of these variables is true, the expression will evaluate to true (1), meaning that class A is scheduled in at least one period.

(b) To ensure that class A is not scheduled in more than one period, we use the XOR (exclusive OR) operator between all possible pairs of variables.

If two variables are true (1) at the same time, the expression will evaluate to false (0), meaning that class A is not scheduled in more than one period. We need to use the AND operator between all three pairs of XOR expressions to ensure that they are all true.

(c) To ensure that class A and class B are not scheduled in the same period, we use the XOR operator between the corresponding variables for each class:

XA1 XOR XB1, XA2 XOR XB2, and XA3 XOR XB3.

If any of these expressions evaluate to true (1), it means that class A and class B are not scheduled in the same period. We need to use the AND operator between all three expressions to ensure that they are all true.

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Answer:

b

Step-by-step explanation:

it matches all the numbers on the table

The second derivative of y = x^7 - x^(1/2) is d²y/dx² = 42x^5 + (1/4)x^(-3/2).

To find the second derivative of y = x^7 - x^(1/2), we first need to find the first derivative and then differentiate it again.

Given: y = x^7 - x^(1/2)

First, let's find the first derivative, dy/dx, using the power rule of differentiation:

dy/dx = d/dx(x^7) - d/dx(x^(1/2))

Using the power rule, we have:

dy/dx = 7x^(7-1) - (1/2)x^((1/2)-1)

Simplifying the exponents:

dy/dx = 7x^6 - (1/2)x^(-1/2)

Now, to find the second derivative, we differentiate dy/dx with respect to x:

d²y/dx² = d/dx(7x^6 - (1/2)x^(-1/2))

Differentiating each term using the power rule:

d²y/dx² = 7 * d/dx(x^6) - (1/2) * d/dx(x^(-1/2))

Applying the power rule:

d²y/dx² = 7 * 6x^(6-1) - (1/2) * (-1/2)x^((-1/2)-1)

Simplifying the exponents and coefficients:

d²y/dx² = 42x^5 + (1/4)x^(-3/2)

Therefore, the second derivative of y = x^7 - x^(1/2) is d²y/dx² = 42x^5 + (1/4)x^(-3/2).

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Answer:

a(85) = -1033

Step-by-step explanation:

Explicit Arithmetic Sequence:

an = a1 + d(n-1)

d = -12 (by -37 + 25)

a(85) = -25 + -12(85-1)

a(85) = -1033

Step-by-step explanation:

Answer:

0.82

Step-by-step explanation:

82/100 as a fraction is equal to 0.82

Answer:

28.3 (explaination below)! :)

Step-by-step explanation:

Use the formula for cicrumfrence: C=2πr

Radius can be found by splitting the given number in half, (unless you were given the radius already, then you'd just multiply by 2).

Plug in our numbers. C= 2π4.5

Then, multiply.

You'd get 28.27433388230814.

Rounding to the first decimal place, you'd have a final answer of  28.3.

Hope this helps!

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

If you divide 500 and 10 you get 50 hope this helps

In interval estimation, when the sample size have become larger then the interval estimate then it will becomes narrower. Option (c) is correct.

A large sample of pattern length or decrease variability will bring about a tighter self belief c program interval with a smaller margin of error. A smaller pattern length or a better variability will bring about a much wider self belief c program interval with a bigger margin of error. The stage of self belief additionally impacts the c program interval width. The large your pattern, the greater certain you may be that their solutions genuinely mirror the population.

This suggests that for a given self belief stage, the bigger your pattern length, the smaller your self belief c program language period. The width of the self belief c program interval for an character observe relies upon to a massive volume at the pattern length. Larger research generally tend to provide greater unique estimates of effects (and therefore have narrower self belief intervals) than smaller research.

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Correct Question:

In interval estimation, as the sample size becomes larger, the interval estimate

a). remains the same, because the mean is not changing.

b). gets closer to 1.96.

c). becomes narrower.

d). becomes wider.

Check the picture below.

Answer: 41, think of PEMDAS while reviewing. Good luck!

Step-by-step explanation:

80 + 6(-5) + (-9)

80 + (-30) + (-9)

80 + (-39)

= 41

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

We have,

The graph that models the cost, y, in cents of making x minutes of international calls would be a linear graph, as the cost is directly proportional to the number of minutes.

The equation of the linear graph would be:

y = 45x

Here, y represents the cost in cents, and x represents the number of minutes.

Therefore,

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

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The customer can select the meal in 2016 ways.

There are four different methods to choose an appetizer, eight different ways to choose a salad, nine different ways to choose an entree, and seven different ways to choose a dessert. Customers can choose a meal in the range of 4*8*7*9 if, according to the multiplication rule, a meal includes an appetizer, a salad, an entree, and a dessert.

x = 4 * 8 * 7 * 9 =  2016 ways.

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Answer:

Step-by-step explanation:

The measures of center include the mean, median, and mode. To find the mean, we sum all the values in the data set and divide by the number of values. The mean for this data set is (12 + 13 + 40 + 95 + 88 + 7 + 95) / 7 = 50.

To find the median, we need to arrange the data set in ascending order: 7, 12, 13, 40, 88, 95, 95. Since there are an odd number of values in the data set, the median is the middle value. The median for this data set is 40.

The mode is the value that appears most frequently in the data set. In this case, the mode is 95.

All three measures of center (mean, median and mode) are different for this data set. There isn’t a single value that best represents all the measures of center for this data set.

The measures of center for the data set 12, 13, 40, 95, 88, 7, 95 are:

Mean: (12 + 13 + 40 + 95 + 88 + 7 + 95) / 7 = 50

Median: 40

Mode: 95

The value that best represents all the measures of center is 95. This is because the mean, median, and mode are all close to 95. The mode is the most frequently occurring value, and the mean and median are the middle values when the data is arranged in increasing order. Therefore, 95 is the value that is most typical of the data set.

The responses 40, 48, and 50 are not good representations of all the measures of center because they are not as close to 95 as the mode, mean, and median.

\(\\ \sf\longmapsto 6x-4+x+17=90\)

\(\\ \sf\longmapsto 7x+13=90\)

\(\\ \sf\longmapsto 7x=90-13=77\)

\(\\ \sf\longmapsto x=11\)

Answer:

\(62 \degree\)

Step-by-step explanation:

Complementary Angles are added up to 90°

Therefore,

\(6x - 4 + x + 17 = 90 \\ 7x + 13 = 90 \\ 7x = 90 - 13 \\ 7x = 77 \\ \frac{7x}{7} = \frac{77}{7} \\ x = 11\)

So,

\(ZA = 6x - 4 \\ = 6 \times 11 - 4 \\ = 66 - 4 \\ = 62 \degree\)

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

x is on the right side of the triangle

Step-by-step explanation:

Answer:

x = 28.8

Step-by-step explanation:

\(\frac{12}{25}\) = \(\frac{x}{60}\)

then cross multiply

25x = 720

then divide 25 from both sides of the equation

x = 28.8

The probability that the sum of the top two numbers will be 55, 77, or 99 is 1 / 18 for each sum.

To find the probability that the sum of the top two numbers will be 55, 77, or 99, we need to consider the possible combinations of numbers that can result in those sums. Let's break it down step by step:

1. Determine the total number of possible outcomes for each die:

  - The first die has 6 faces, so there are 6 possible outcomes.

  - The second die also has 6 faces, so there are 6 possible outcomes.

2. Calculate the number of favorable outcomes for each desired sum:

  - For a sum of 55, we can have (22, 33) or (33, 22). So, there are 2 favorable outcomes.

  - For a sum of 77, we can have (33, 44) or (44, 33). So, there are 2 favorable outcomes.

  - For a sum of 99, we can have (44, 55) or (55, 44). So, there are 2 favorable outcomes.

3. Calculate the total number of possible outcomes:

  - Since we have 6 possible outcomes for each die, the total number of possible outcomes is 6 * 6 = 36.

4. Calculate the probability:

  - The probability is given by the formula: favorable outcomes / total outcomes.

  - For a sum of 55, the probability is 2 / 36 = 1 / 18.

  - For a sum of 77, the probability is 2 / 36 = 1 / 18.

  - For a sum of 99, the probability is 2 / 36 = 1 / 18.

Therefore, the probability that the sum of the top two numbers will be 55, 77, or 99 is 1 / 18 for each sum.

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Answer: is, 4.  All of the above are equivalent statements.

The x-intercept is where the graph crosses the x-axis.

here, we have,

The x-intercept is the point at which a line crosses the x-axis.

now,

The roots of a function are the x-values of the x-intercepts.

Therefore, if (-3, 0) is an x-intercept, then -3 is a root.

The zeros of the function are the x-values when y = 0.

(-3, 0) means x = -3 when y = 0.

Therefore, -3 is a zero.

According to the factor theorem, if f(x) is a polynomial, and f(a) = 0, then (x – a)  is a factor of f(x).

Given (-3, 0), then f(-3) = 0.  Therefore, (x - (-3)) = (x + 3) is a factor.

Therefore, all given statements are equivalent statements.

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Answer:

Volume = 12

Step-by-step explanation:

Answer:

12cm³

Step-by-step explanation:

L=3cm

W=2cm

H=2cm

Volume=L*W*H

Volume =3*2*2

=12 cm³

The model that shows the statement of 80% of 500 will be equal to 400 points.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given data in the question,

Total number of points in the game = 500 points

Total percentage of score done by the team = 80% of total points

Then, the points will be,

= (500 × 80)/100

= 40,000/100

= 400 points.

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Given statement solution is :- The mass of x refers to the probability mass function (PMF) values for each value of x.

Plot of the probability mass function (PMF):

The PMF plot represents the probabilities of the different values of x.

css

Copy code

x  |  P(X=x)

---|--------

0  |  0.362

1  |  0.442

2  |  0.153

3  |  0.037

4  |  0.006

5  |  0.0005

The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.

a. The possible values of x are 0, 1, 2, 3, 4, and 5. This represents the number of hearts you can get from the 5 cards dealt.

b. The mass of x refers to the probability mass function (PMF) values for each value of x. We can calculate the mass as follows:

P(x = 0) = (39/52) * (38/51) * (37/50) * (36/49) * (35/48)

P(x = 1) = 5 * (13/52) * (39/51) * (38/50) * (37/49) * (36/48)

P(x = 2) = 10 * (13/52) * (12/51) * (39/50) * (38/49) * (37/48)

P(x = 3) = 10 * (13/52) * (12/51) * (11/50) * (39/49) * (38/48)

P(x = 4) = 5 * (13/52) * (12/51) * (11/50) * (10/49) * (39/48)

P(x = 5) = (13/52) * (12/51) * (11/50) * (10/49) * (9/48)

Note: The coefficients in front of each probability correspond to the different ways of selecting x hearts from the available hearts in the deck.

c. Plot of the probability mass function (PMF):

The PMF plot represents the probabilities of the different values of x.

css

Copy code

x  |  P(X=x)

---|--------

0  |  0.362

1  |  0.442

2  |  0.153

3  |  0.037

4  |  0.006

5  |  0.0005

d. The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.

The CDF of x can be calculated by summing up the probabilities of all the values less than or equal to x.

CDF(x = 0) = P(x = 0)

CDF(x = 1) = P(x = 0) + P(x = 1)

CDF(x = 2) = P(x = 0) + P(x = 1) + P(x = 2)

CDF(x = 3) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)

CDF(x = 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

CDF(x = 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)

e. Plot of the cumulative distribution function (CDF):

The CDF plot represents the cumulative probabilities for the different values of x.

scss

Copy code

x  |  CDF(X<=x)

---|-----------

0  |  0.362

1  |  0.804

2  |  0.957

3  |  0.994

4  |  1.000

5  |  1.000

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Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.

Substituting the given values, we get:

V = (1/3) × 3.14 × 3² × 3.8

V ≈ 35.63

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

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Answer:

To convert each number to a percentage, we can simply multiply it by 100.

47.5 = 47.5%

64.5 = 64.5%

42 = 42%

54.5 = 54.5%

64.5 = 64.5%

54.5 = 54.5%

54.5 = 54.5%

54.5 = 54.5%

To find the total percentage, we can add up all the percentages and divide by the total number of values. In this case, there are 8 values.

Total percentage = (47.5 + 64.5 + 42 + 54.5 + 64.5 + 54.5 + 54.5 + 54.5) / 8

Total percentage = 437.5 / 8 = 54.6875%

Therefore, the total percentage of the given numbers is 54.6875%.

Step-by-step explanation:

Answer:

2y - 3 < -13

Hope this helps

Answer: B

Step-by-step explanation:t+4+3−2.2t

Add 4 and 3 to get 7.

t+7−2.2t

Combine t and −2.2t to get −1.2t.

−1.2t+7