Can you simply these fractions?

You would need to make a 94 on the next quiz to have a mean quiz score of 90.

If 90 is the desired mean, then you have to multiply it by the number of quizzes

5 x 90 = 450 is the total in the 5 quizzes.

Now, add the scores of the first four quizzes.

88 + 95 + 93 + 80 = 356

Then, take the amount of the 5 quizzes and subtract it from the amount of the total 4 quizzes.

450 - 356 = 94

The result in (a) is not true if we replace "=" with "~."

In deterministic logic, the statement "A implies B" is equivalent to the statement "not B implies not A," known as the contrapositive. In probability, we might interpret "A implies B" as P(B|A) = 1.

Let A and B be any events in a probability space. If P(B|A) = 1, then P(AC|BC) = 1. This is because if P(B|A) = 1, then P(AC|BC) = P(AC∩BC)/P(BC) = P(AC)/P(BC) = 1.

If we replace the "=" with "~" in the statement "P(B|A) = 1," then the result in (a) is not true. For example, let A and B be independent events. Then P(B|A) = P(B) and P(AC|BC) = P(AC). If P(B) is very close to 1, then P(AC) can be very close to 0, even though P(B|A) is very close to 1. This shows that the result in (a) is not true if we replace "=" with "~."

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Answer:

See Explanation

Step-by-step explanation:

Let us assume that \( \sqrt 3 - \sqrt 5\) is a rational number.

So, it can be expressed in the form of \( \frac{p}{q} \) where p and q are integers.

\(\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}\)

\(\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5\)

\(\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}\)

Squaring both sides:

\( (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 \)

\(\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } \)

\(\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}\)

\(\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq \)

\(\therefore - 2\sqrt 5 pq=p^2 +2q^2 \)

\(\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) \)

\(\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) \)

Since, p and q are integers so \( - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) \) is rational.

\(\therefore \sqrt 5 \) is also rational.

But it contradicts the fact that \(\sqrt 5 \) is irrational.

Hence, our assumption that \( \sqrt 3 - \sqrt 5\) is rational is wrong.

\( \therefore \sqrt 3 - \sqrt 5\) is irrational.

By the radius-tangent theorem, the radius is equal to 39/10 units.

In Euclidean geometry, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

Since CB is tangent to OA at point C and line segment CB is perpendicular to line segment AC by the radius-tangent theorem, we would determine the radius by applying Pythagorean's theorem as follows;

r^2 + 8^2 = (r + 5)^2

r^2 + 64 = r^2 + 10r + 25

r^2 - r^2 = -10r + 64 - 25

10r = 39

r = 39/10 units.

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This is not a probability model because at least one probability is less than 0

From the question, we have the following parameters that can be used in our computation:

Color      Probability

Red          0.3

Green      -0.2

Blue         0.2

Brown      0.4

Yellow      0.2

Orange     0.1

The general rule is that

The smallest value of a probability is 0, and the maximum is 1

In the above, we have

P(Green) = -0.2

Hence, it is not a probability model

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Question

Color      Probability

Red          0.3

Green      -0.2

Blue         0.2

Brown      0.4

Yellow      0.2

Orange     0.1

determine why it is not a probability model. choose the correct answer below.

a. this is not a probability model because the sum of the probabilities is not 1.

b. this is not a probability model because at least one probability is greater than 0.

c. this is not a probability model because at least one probability is less than 0.

d. this is not a probability model because at least one probability is greater than 1.

We can arrange the 2023 squares to cover the unit square, with overlaps allowed.

We can prove that a collection of 2023 closed squares of total area 4 can be arranged to cover a unit square by using the pigeonhole principle. Since the total area of the squares is 4, the average area of each square is 4/2023. Let's take a unit square and divide it into 2023 smaller squares of area (1/2023) each. By the pigeonhole principle, we can assign one of the 2023 squares to each of the smaller squares. Since the average area of each square is 4/2023, each of the assigned squares will overlap with at most 4 other squares. Therefore, we can arrange the 2023 squares to cover the unit square, with overlaps allowed.

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The square root of 36 is:

The principal square root is teh non-negative number.

Thus the principal square root is 6.

Withholding food and fluids before surgery is done to ensure that the patient's stomach is empty. This helps to minimize the risk of aspiration, which occurs when stomach contents enter the lungs. Aspiration can lead to respiratory complications such as pneumonia, which can be dangerous for the patient.

The appropriate response by the nurse is d) It prevents aspiration and respiratory complications. Withholding food and fluid before surgery is important to prevent aspiration, which occurs when stomach contents enter the lungs during surgery, and can cause respiratory complications. It also helps ensure a clear surgical field. However, the patient will still receive necessary fluids and medications through an IV during surgery to prevent dehydration and maintain blood pressure. It is important to follow the healthcare provider's instructions on pre-operative fasting to ensure the safest surgical experience.
d) It prevents aspiration and respiratory complications.
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The feasibility area is empty. The solution of the LP-problem is not possible (does not exists).

With the constraint that x and y are both non-negative, the second constraint has only one point in common with each of the first and third constraints; and those two points are different.

The feasibility region is empty; so nothing can be optimized.

Plots x + 2y = 30 (red),  2x + 2y = 30 (green)  and  2x+y = 30 (blue)

The feasibility area, according to the condition, is the area of the first quadrant

   - above the red line,

   - below the green line,

   - above the blue line.

It can be seen from the plot that this set is empty.

Therefore, the feasibility area is empty. The solution of the LP-problem is not possible (does not exists).

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Disclaimer

The question given by you is incomplete, so the above solution is of a similar question, and the question is

Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT

Maximize p = x + y subject to

x + 2y ≥ 30

2x + 2y ≤ 30

2x + y ≥ 30

x ≥ 0, y ≥ 0.

p=

(x, y)=

The correct option is b. Reflection across the y-axis

A transformation that carries the trapezoid onto itself is called symmetry. Symmetry is a phenomenon that occurs in different types of objects, and it's when you fold an object in half, and each half is a mirror image of the other.

The reflection is the transformation that carries a trapezoid onto itself. This transformation is also called the line of symmetry, where each half is a reflection of the other half.

Reflection across the y-axis
Given, The transformation that carries the trapezoid onto itself is:

A trapezoid is a geometrical shape that has one pair of parallel sides, and other sides are non-parallel. Therefore, the line of symmetry passes through the midpoint of parallel sides.

The y-axis is vertical, and if the trapezoid is reflected across the y-axis, the image will be the same as the original trapezoid.

The line of symmetry will be the midpoint of parallel sides, and each half will be the reflection of the other half.

Thus, the correct option is b. Reflection across the y-axis.

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Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

Answer:

n^2 + 2

Step-by-step explanation:

1st term =1^2 +2 = 3

2nd term = 2^2 + 2 =6

3rd term = 3^2 + 2=11

4th term = 4^2 + 2=18

Answer: 30.5

Step-by-step explanation:

Answer: 1 1/4 mile

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

5x-22=4x-10

5x-4x=-10+22

x=12

Answer:

A = positive  

B = positive, negative

C = negative

D = positive, negative

Answer:

A Positive coordinates (5,5)    B Negative and Positive coordinates (-5,5)  C Negative coordinates (-5,-5)  D Negative and Positive coordinates (5,-5)

Step-by-step explanation:

Pls mark brianlist hope this helps .

Answer:

x=-3

Step-by-step explanation:

h(x)=7

-4x-5=7

-4x=12

x=-3

Answer: -3

Step-by-step explanation:

Answer:

No idea

Step-by-step explanation:

No idea for that either

Hope this helps, have a good day

Step-by-step explanation:

1. The bag contains fewer than 10 carrots

2.catherin3 biked farther than 10 miles

3.the chair is shorter than 20 in

4.carlos scored over 20 points

The equation that can be used to represent the proportional relationship between time and the distance a greyhound dog can travel is:

y = 44x.

A direct proportional relationship is a function in which the output variable is found with the multiplication of the input variable and the constant of proportionality, as follows:

y = kx.

In which k is the constant of proportionality, also representing the rate between the output and the input for any pair of (input, output) except (0,0).

From the table of distances and time given in this problem, the constant is found as follows:

k = 220/5 = 440/10 = 660/15 = 44.

Hence the constant is of 44 and the relation is given by:

y = 44x.

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Answer:

The equation of a line passing through the points (2, 3) and (4, 6) is 3x - 2y = 0.

Step-by-step explanation:

Answer:

2d+3d-2d+4d= 9d-16

2d is cancelled

3d+4d=9d-16

7d=9d-16

16=9d-7d

16=2

16/2

d=8

Rounding this to 4 decimal places, the probability that at most five students will graduate from the community college is approximately 0.0000.

To find the probability that at most five students will graduate from the local community college, we need to use the Poisson distribution. The Poisson distribution models the number of events that occur in a fixed interval of time or space, when the events are rare and random, and the average rate of occurrence is known.

Let lambda be the average number of students who graduate from the community college. If lambda is known, the probability that exactly k students will graduate is given by the Poisson probability mass function:

P(k; lambda) = (e^(-lambda) * lambda^k) / k!

where e is the mathematical constant approximately equal to 2.71828, and k! is the factorial of k (i.e., k! = k * (k-1) * (k-2) * ... * 1).

To find the probability that at most five students will graduate, we need to sum the probabilities for k=0,1,2,3,4,5:

P(X <= 5) = P(0; lambda) + P(1; lambda) + P(2; lambda) + P(3; lambda) + P(4; lambda) + P(5; lambda)

where X is the random variable representing the number of students who graduate.

The value of lambda is not given in the problem, but we can estimate it from the available information. For example, if we know that on average 10% of students who enroll in the community college graduate, and the community college has 1000 students, then lambda would be:

lambda = 1000 * 0.10 = 100

We can use this value of lambda to calculate the probabilities:

P(0; 100) = (e^(-100) * 100^0) / 0! = 3.72008e-44

P(1; 100) = (e^(-100) * 100^1) / 1! = 3.72008e-42

P(2; 100) = (e^(-100) * 100^2) / 2! = 1.86004e-40

P(3; 100) = (e^(-100) * 100^3) / 3! = 6.20014e-39

P(4; 100) = (e^(-100) * 100^4) / 4! = 1.55004e-37

P(5; 100) = (e^(-100) * 100^5) / 5! = 3.10008e-36

Therefore,

P(X <= 5) = 3.72008e-44 + 3.72008e-42 + 1.86004e-40 + 6.20014e-39 + 1.55004e-37 + 3.10008e-36 ≈ 3.4383e-35

Rounding this to 4 decimal places, the probability that at most five students will graduate from the community college is approximately 0.0000.

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Answer:

32 ounce box of fruit loops is a better deal

Step-by-step explanation:

32 ounce of fruit loops is about $0.12 an ounce

24 ounce box of Honey Nut Cheerios is about $0.14 an ounce

The values for the variables x and y of the congruent triangles ∆ABC and ∆GEF are x = 10 and y = 6.

Congruent triangles are two triangles that have the same shape and size. In other words, if two triangles are congruent, then all their corresponding sides and angles are equal.

Given that triangles ∆ABC and ∆GEF area congruent, then:

AC corresponds to GF so that;

2 = x - 8

x = 2 + 8 {collect like terms}

x = 10

Also, BC corresponds to EF so that;

4 = x - y

4 = 10 - y

y = 10 - 4 {collect like terms}

y = 6

Therefore, the values for the variables x and y of the congruent triangles ∆ABC and ∆GEF are x = 10 and y = 6.

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When describing the central tendency for qualitative data, the measure that is commonly used is the mode.

Unlike quantitative data, where measures such as the mean or median can be used to describe central tendency, qualitative data consists of categories or labels rather than numerical values.

Therefore, the mode is the most appropriate measure for central tendency in this context.

The mode can be useful in summarizing qualitative data by identifying the most common category or response. It provides insight into the most prevalent characteristic or attribute among the data, allowing for a better understanding of the distribution and patterns within the dataset.


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Answer: 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

The graph shows the value of an investment after x years.

The initial amount of the investment is $500, the investment grows at the rate of 6% each year, and the value of the investment after 10 years is $895.42

Answer and Step-by-step explanation:

We want to find the measure of angle ABD (∠ABD).

We can tell by looking at this triangle that the array BD creates complementary angles (two angles who's sum equals 90°). ∠CBD is given to us, and we want to find ∠ABD. By knowing that these two angles will add up to 90°, we can create a formula to solve for ∠ABD.

90° = ∠ABD + ∠CBD

Plug in the angle for ∠CBD.

90° = ∠ABD + 45°.

Subtract 45° from both sides of the equation.

90° - 45° = ∠ABD + 45° - 45°

45° = ∠ABD

So, angle ∠ABD is 45°.

Have a great day!

Answer:

∠ABD = 45°

Step-by-step explanation:

∠ABC = 90° (right angle)

∴ ∠ABD = ∠ABC - ∠CBD

             = 90° - 45°

             = 45°

Answer: A = 15 + 0.5(w)

Step-by-step explanation: The above equation represents the amount of dollars after selling w cups of water. Remember: we also have 15 in advance, so we add that to the total amount of cups sold. We multiply 0.5 (the amount earned per water cup) by w (the number of water cups sold) and we will get our answer.

To check this, let's say we sold 10 water cups. So w = 10. Therefore, we write A = 15 + 0.5(10). That = A = 15 + 5 which A = 20. We can use any number in place of w now and we will know it is correct using this formula