What is the difference between an expression and an any quality

Answer:

2352

Step-by-step explanation:

(100 - 2) x 24 = 2400 - 48 = 2352

Answer:

Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

Step-by-step explanation:

Here the Null hypothesis would be

H0: 87% of the graduates find full-time employment in their field within the first year of graduation

H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation

Here the p values is 0.07.

Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.

Hence, option A is correct

Since the p-value is greater than the significance level, the correct option is:

a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

At the null hypothesis, it is tested if the proportion is still of 0.87, that is:

\(H_0: p = 0.87\)

At the alternative hypothesis, it is tested if it has decreased, that is:

\(H_1: p < 0.87\)

Since the p-value is greater than the significance level, we do not reject the null hypothesis, and hence, the correct option is A.

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Answer:

the percent error in the student's measurement is 4.65%.

Step-by-step explanation:

The percent error can be calculated using the formula:

| (measured value - actual value) / actual value | * 100%

In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:

| (2.7 - 2.58) / 2.58 | * 100% = 4.65%

Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.

Therefore, the percent error in the student's measurement is 4.65%.

The dimensions for a square that has a perimeter of 14 units and area or 49 units² will be 7 units by 7 units.

The perimeter of a shape is simply the total length of the boundary that the shape has. It should be noted that in this case, it's gotten by adding all the length that the shape has.

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

In this situation, the square has a perimeter of 14 units and area or 49 units². The dimensions will be 7 units by 7 units.

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Answer:

Option C, neither.

Step-by-step explanation:

Here we have the table:

x: -10    -3    4    11

y:   1      6    30   120

This means that if our function is f(x), then:

f(-10) = 1

f(-3) = 6

f(4) = 30

f(11) = 120

We want to know if this represents a linear equation or an exponential equation or neither.

First, let's try with a linear equation.

We know that a linear equation can be written as:

f(x) = a*x + b

Then let's input the known values and let's see if this equation works.

We can use two of the known points to get:

f(-10) = 1 = a*-10 + b

f(4) = 30 = a*4 + b

With these equations, we can find the value of a and b, once we find these values, we can see if the equation also works for the other two points.

1 = a*-10 + b

30 = a*4 + b

First, we need to isolate one of the variables in one of the equations.

I will isolate b in the first one:

b = 1 + a*10

Now we can replace this in the other one to get:

30 = a*4 + 1 + a*10

30 = 1 + a*14

30 - 1 = a*14

29 = a*14

29/14 = a = 2.07

and using the equation b = 1 + a*10 we can find the value of b:

b = 1 + 2.07*10 = 1 + 20.7 = 21.7

Then the equation we get is:

f(x) = 2.07*x +  21.7

Now we need to see if this works for the other two points:

for x = -3, we need to get: f(-3) = 6

f(-3) = 2.07*-3 + 21.7 = 15.49

We did not get the value we expected, then we already know that the relationship is not linear.

Now let's see if the relationship can be exponential.

An exponential function is written as:

f(x) = A*(r)^x

Let's do the same as above, let's use two of the known points to find the values of A and r

f(-3) = 6 = A*(r)^(-3)

f(4) = 30 = A*(r)^4

Now we have the system of equations:

30 = A*(r)^4

6 = A*(r)^(-3)

If we take the quotient of these two equations, we get:

(30/6) = (A*(r)^4)/( A*(r)^(-3))

5 = (r^4)*r^3 = r^(4 + 3) = r^7

(5)^(1/7) = r = 1.258

And the value of A is given by:

30 = A*(1.258)^4

30/( (1.258)^4 ) = 11.98

Then the exponential equation is something like:

f(x) = 11.98*(1.258)^x

Now let's see if this equation also works for the other two points:

for x = -10, we should get f(-10) = 1

Let's see that:

f(-10) = 11.98*(1.258)^(-10) = 1.2

And for x = 11 we should get f(11) = 120

f(11) =  11.98*(1.258)^(11) = 149.6

So we get values closer to the ones we should get, but not the exact ones, so this is not an exponential relation.

Then the correct option is C, neither.

Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.

Answer:

Literally do a^2+b^2=x^2 and solve for x

The length of AC is 12.5 and the length of AD is 3.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle ABC,

and D is a point on AB and E is a point on AC,

and forms a triangle ADE,

and  DE is parallel to AC,

taking ΔABC and ΔBDE

∠B = ∠B  (common angle)

because DE is parallel to AC, so corresponding angles are equal,

so ∠A = ∠D

and ∠C = ∠E

ΔABC ≈ ΔBDE (triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

AB/BD = AC/DE = BC/BE

given BD = 2, BE = 4, DE = 5 and EC = 6

BC = EC + BE = 4 + 6

BC = 10

AC/DE = BC/BE

AC = 5(10/4)

AC = 12.5

and AB/BD = BC/BE

AB = 2(10/4)

AB = 5

AD = AB - BD

AD = 5 - 2

AD = 3

Hence AC = 12.5 and AD = 3.

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The figure is in image.

Answer:

.20x = 72, so x = 360

.30(360) = 108

Answer:

27 Nickels

Step-by-step explanation:

Divide 1.35 by 0.05

= 27

Answer:

x = 19 \(\frac{3}{19}\) pounds of flour

Step by Step Solution:

We can write this as a ratio....

10:38 = X:50

Now we can set this up as a proportion....

\(\frac{10}{38}\)=\(\frac{X}{50}\)

Now, we can cross multiply....

38x = 500

Now, we divide both sides by 38...

x = \(\frac{500}{38}\)

x = 19 \(\frac{3}{19}\) pounds of flour

Hope this Helps!!! :)

Let me know in the comments if I should change anything or if the answer was perfect!

\(13\frac{3}{19}\) pounds of flour for 50 cups of flour is required.

The size, number, or amount of one thing or group as compared to the size, number, or amount of another.

Given that, a 10 pound bag of flour contains 38 cups of flour

Let x be the pounds of flour for 50 cups.

The proportion can be made;

38/10 = 50/x

x = 250/19

x = \(13\frac{3}{19}\)

Hence, \(13\frac{3}{19}\) pounds of flour for 50 cups of flour is required.

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Answer:

(x + 8) × 4 = 21 × 4

Explanation:

x + 8 = 21

21 - 8 = 13

(13 + 8) × 4 = 21 × 4

21 × 4 = 21 × 4

84 = 21 × 4

84 = 84

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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It will take 4. 09 weeks for the tires to be rotated at the current rate.

When rotating a car's tires every 10,000 miles, each tire must complete this distance before being moved.

25, 200 rotations / day x 7 days / week = 176, 400 rotations per week

To solve this predicament, dividing 10,000 miles by the number of rotations/mile (which equates to the tire's circumference) is necessary. The formula for calculating a tire's circumference can aid in obtaining this number along with the weeks required to perform the rotation process:

C = 2πr

Rotation per mile is:

1 mile / 87.96 inches / rotation = 72.26 rotations / mile

Number of weeks:

10, 000 miles x 72. 26 rotations / mile = 722, 600 rotations

722, 600 rotations / 176, 400 rotations/week = 4.09 weeks

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Answer:

Total ways to run movies = 1,440

Step-by-step explanation:

Given:

Number of total movies = 8

Number of science fiction movie = 2

Number of horror fiction movie = 6

Find:

Total ways to run movies.

Computation:

Number of science fiction movies way air = 2!

Number of science fiction movies way air = 2×1

Number of science fiction movies way air = 2

Number of horror fiction movies way air = 6!

Number of science fiction movies way air = 6×5×4×3×2×1

Number of science fiction movies way air = 720

Total ways to run movies = 2 × 720

Total ways to run movies = 1,440

The point of intersection of the two lines is (109/19, 61/19).

What is Linear equation ?

Linear equation can be defined as equation in which highest degree is one.

To determine the point of intersection of the following pairs of lines:

2x - 3y - 4 = 13

5x = -2y + 25

We need to find the values of x and y that satisfy both equations simultaneously. We can solve for one variable in terms of the other in one of the equations and substitute it into the other equation. Let's solve for y in the first equation:

2x - 3y - 4 = 13

-3y = 13 - 2x + 4

-3y = 17 - 2x

y = (2/3)x - (17/3)

Now we can substitute this expression for y into the second equation:

5x = -2y + 25

5x = -2((2/3)x - (17/3)) + 25

5x = (-4/3)x + 34/3 + 25

5x = (-4/3)x + 109/3

(19/3)x = 109/3

x = 109/3 * 3/19

x = 109/19

Now that we know x, we can substitute it back into either equation to find y. Let's use the equation we found for y earlier:

y = (2/3)x - (17/3)

y = (2/3)(109/19) - (17/3)

y = 61/19

Therefore, the point of intersection of the two lines is (109/19, 61/19).

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3 1/5 = y - 12/25

31/5+y = -12/25

31+y = -12/25×5

31+y = -12/5

y = -12/5-31

y = -143/5

y = -28.6

HOPE IT HELPS

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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Based on the given parameters, the value of the money to invest initially is $994.8

The given parameters about the compound interest are

Principal Amount, P = $2130

Interest Rate, R = 6.4%

Time, t = 12

Number of times, n = 12 i.e. monthly

To calculate the amount, we have:

A = P + CI

Where

C = P(1 + R)^t

So, we have

A = P(1 + R)^t

This can be rewritten as

A = P(1 + R/n)^nt

Substitute the known values in the above equation

2130 = A * (1 + 6.4%/12)^(12*12)

So, we have

A = 2130/[(1 + 6.4%/12)^(12*12)]

Evaluate the expression

A = 994.8

Hence, the amount of the investment is $994.8

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Using conditional probability, it is found that there is a 0.24 = 24% probability that they were actually born in  England.

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

In this problem, the events are:

The percentages associated with the person being a fan of J.K. Rowling are:

Hence:

\(P(A) = 0.6(0.05) + 0.1(0.95) = 0.125\)

The probability of both is:

\(P(A \cap B) = 0.6(0.05) = 0.03\)

Hence, the conditional probability is:

\(P(B|A) = \frac{0.03}{0.125} = 0.24\)

0.24 = 24% probability that they were actually born in  England.

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The expressions equivalent to 4^10​ are 2^20, 4^4 . 4^6, and  4^4 / 4^-6. Option B, option C, and option E are correct.

Some laws of exponents are:

We need to find all the expressions equivalent to 4^10​.

We will use laws of exponents for all the options one by one.

Option A:

2^5 . 2^2 = 2^(5 + 2) = 2^7

This is not equivalent to 4^10​.

Option B:

2^10 = 2^(2 * 10) = (2^2)^10 = 4^10

This is equivalent to 4^10​.

Option C:

4^4 . 4^6 = 4^(4 + 6) = 4^10

This is equivalent to 4^10​.

Option D:

4^7 . 4^-3 = 4^(7 + (-3)) = 4^4

This is not equivalent to 4^10​.

Option E:

4^4 / 4^-6 = 4^(4 - (-6)) = 4^10

This is equivalent to 4^10​.

So, 2^20, 4^4 . 4^6, and  4^4 / 4^-6 are equivalent to 4^10​.

So, option B, option C, and option E are correct.

Thus, the expressions equivalent to 4^10​ are 2^20, 4^4 . 4^6, and  4^4 / 4^-6. Option B, option C, and option E are correct.

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Answer:

square or rectangle

Step-by-step explanation:

Given;

Sales Price = 185000

percenatge of down payment = 5%

Required :

Amount of down payment :

Answer:

32

Step-by-step explanation:

In a full factorial experiment, there are usually 32 or 2⁵ treatments. This implies that there are usually  2 levels and 5 factors. From the description below, there is a list of the 32 treatments.

Factor A      Factor B      Factor C      Factor B      Factor E

lo                   hi                 hi                 hi                hi

hi                   low              hi                 hi                hi

hi                   hi                low               hi                hi

hi                   hi                 hi                 low             hi

hi                   hi                 hi                 hi               low

lo                   lo                 hi                 hi               hi

lo                   hi                 lo                 hi               hi

lo                   hi                 hi                 lo              hi

The expression which shows how many grams of raisins are in the bowl will be

(0.01x) * 150 + (0.01y) * 250

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The expression which shows how many grams of raisins are in the bowl will be:

= (x% × 150) + (y% × 250)

= (0.01x) * 150 + (0.01y) * 250

This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

1. 11

2. -82

3. \( \frac{8}{15} \)

4. 36

5. 1

Step-by-step explanation:

1. 3x + 5, when x = 2

Plug in the value of x

3(2) + 5 = 6 + 5

= 11

2. 5xy + x - 4, when x = -3 and y = 5

Plug in the values

5(-3)(5) + (-3) - 4

-75 - 3 - 4 = -82

3. \( \frac{6ab - c}{abc} \), when a = 5, b = 3, and c = 10

Plug in the values

\( \frac{6(5)(3) - 10}{5*3*10} \)

\( \frac{90 - 10}{150} \)

\( \frac{80}{150} \)

\( \frac{8}{15} \)

4. 3(xy + 6), when x = -6 and y = - 1

3(-6*-1 + 6)

3(6 + 6)

3(12)

36

5. \( \frac{2x + 5}{3x - y} \), when x = -3 and y = -8

\( \frac{2(-3) + 5}{3(-3) - (-8)} \)

\( \frac{-6 + 5}{-9 + 8} \)

\( \frac{-1}{-1} = 1 \)

Answer:

8

Step-by-step explanation:

65.29/8.23≈7.933

7.933 rounds to 8

The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

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Answer:

Step-by-step explanation:the answer is 12x