A study recruited 1000 people to participate in a weight loss program. Participants are allowed to choose whether they want to go on a vegetarian diet or follow a traditional low-calorie diet that includes some meat. Half of the people choose the vegetarian diet, and half choose to be in the control group and continue to eat meat. The study found that there is greater weight loss in the vegetarian group. Which of the following is correct about the study? We can conclude that vegetarian diet helps people lose more weight because this is an experimental study. The result of the study is not reliable because there is no randomization and the confounding variables are not controlled. We can not conclude that vegetarian diet helps people lose more weight because the sample size is too small. The result of the study is not reliable because there is no control group.

First of all it's important to note that all parallelograms, rhombuses and squares are quadrilateral and they meet the following properties:

- Rhombus: quadrilateral whose four sides have the same length.

- Parallelogram: quadrilateral that has two pairs of parallel sides.

- Square: quadrilateral whose four sides and internal angles have the same length/measure.

With these definitions in mind we can solve the True or False table in the picture.

The first statement is false not every quadrilateral is a rhombus. For example rectangles that are not squares are not rhombuses since their four sides aren't all equal.

The second is true, as we saw before parallelograms are quadrilaterals. The same reason applies to the third statement, squares are qudrilaterals.

Now let's see the last statement. A rhombus with four right angles is a quadrilateral that has four equal sides (because it's a rhombus) and four equal angles (all measuring 90°). These are the conditions required for a quadrilateral to be considered a square so this last statement is true.

Then the answers are:

F

Answer:

Slope is 0

Equation is y = -2

Step-by-step explanation:

To get the slope, we need the coordinates of its end points

These are;

((-2,-2) and (2,-2)

The formula for the slope is;

m = (y2-y1)/(x2-x1)

m = (-2+2)/(2 + 2) = 0/4 = 0

Since the slope is 0, the only thing left in the equation is the y-intercept

This is according to the question-2

So the equation of the line is

y = -2

The probabilities for:

a. P(48 <X <66) = 0.978.

b. P(X> 69) = 0.0618.

c. P(X <= 65)  = 0.8051

d. P(X < 60) = 0.5

a. P(48 < X < 66) can be approximated using the normal distribution as follows:

mean, μ = np = 150 × 0.4 = 60

standard deviation, σ = \(\sqrt{(np(1-p)) }\)= \(\sqrt{(150 * 0.4 * 0.6)\) = 5.81

We can standardize using the formula z = (x - μ) / σ to find the area under the standard normal distribution between the z-scores corresponding to x = 48 and x = 66:

z1 = (48 - 60) / 5.81 = -2.06

z2 = (66 - 60) / 5.81 = 1.03

Using a standard normal distribution table, we find the area between these z-scores to be approximately 0.978. Therefore, P(48 < X < 66) ≈ 0.978.

b. P(X > 69) can be approximated using the normal distribution as follows:

mean, μ = np = 150 × 0.4 = 60

standard deviation, σ = \(\sqrt{(np(1-p)) }\)= \(\sqrt{(150 * 0.4 * 0.6)\) = 5.81

We can standardize using the formula z = (x - μ) / σ to find the area under the standard normal distribution to the right of the z-score corresponding to x = 69:

z = (69 - 60) / 5.81 = 1.55

Using a standard normal distribution table, we find the area to the right of this z-score to be approximately 0.0618. Therefore, P(X > 69) ≈ 0.0618.

c. P(X <= 65) can be approximated using the normal distribution as follows:

mean, μ = np = 150 × 0.4 = 60

standard deviation,  σ = \(\sqrt{(np(1-p)) }\)= \(\sqrt{(150 * 0.4 * 0.6)\)= 5.81

We can standardize using the formula z = (x - μ) / σ to find the area under the standard normal distribution to the left of the z-score corresponding to x = 65:

z = (65 - 60) / 5.81 = 0.86

Using a standard normal distribution table, we find the area to the left of this z-score to be approximately 0.8051. Therefore, P(X <= 65) ≈ 0.8051.

d. P(X < 60) can be approximated using the normal distribution as follows:

mean, μ = np = 150 × 0.4 = 60

standard deviation, σ = sqrt(np(1-p)) = sqrt(150 × 0.4 × 0.6) = 5.81

We can standardize using the formula z = (x - μ) / σ to find the area under the standard normal distribution to the left of the z-score corresponding to x = 60:

z = (60 - 60) / 5.81 = 0

Using a standard normal distribution table, we find the area to the left of this z-score to be 0.5. Therefore, P(X < 60) ≈ 0.5.

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9. H is a subspace of R3 as it contains a 2s vector [0, 2s, 0].

10. H is a subspace of R3 as it consists of the zero vector [0, 0, 0].

11. W is a subspace of R3 as it is spanned by the vectors [1,0,0] and [1,1,0].

12.W is a subspace of R4 as it is spanned by the vectors [1,2,0,0] and [0,-1,4,0].

9. To find a 2s vector v in R3 such that H is a subspace of R3, we can choose v = [0, 2s, 0]. This vector satisfies the condition of H being a subspace since it is of the form 2s, and any scalar multiple of v will also be of the form 2s, which is within H. Therefore, H is a subspace of R3.

0. Let H be the set of all vectors of the form [0, 0, 0]. To show that H is a subspace of R3, we can use the method from Exercise 9. By choosing v = [0, 0, 0],

we can see that H is closed under scalar multiplication and addition, as any scalar multiple or sum of the zero vector will still result in the zero vector. Therefore, H is a subspace of R3.

11. Let W be the set of all vectors of the form [b, c, 0], where b and c are arbitrary. To show that W is a subspace of R3, we need to find vectors u and v such that W is spanned by (u, v).

We can choose u = [1, 0, 0] and v = [0, 1, 0]. Any vector in W can be expressed as a linear combination of u and v, and therefore W is spanned by (u, v). This shows that W is a subspace of R3.

12. Let W be the set of all vectors of the form [s, 2s - t, 4t] in R4. To show that W is a subspace of R4, we can use the method from Exercise 11. By choosing u = [1, 2, 0, 0] and v = [0, -1, 4, 0],

we can observe that any vector in W can be expressed as a linear combination of u and v. Hence, W is spanned by (u, v), indicating that W is a subspace of R4.

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To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.

The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".

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Answer:  

t=2.59s

Explanation:

v=23.5m/s u=15.2m/s a=3.2m/s^2 t=? using equation v=u+at t=(v-u)/a t= (23.5-15.2)/3.2=8.3/3.2=2.59s

You have 4 replications for each treatment combination.

In this scenario, you have two factors: frequency (low and high) and liquid (distilled water and salt water). Each factor has two levels, making a total of four treatment combinations (low frequency with distilled water, low frequency with salt water, high frequency with distilled water, high frequency with salt water).

Since you have a total of 16 runs, the number of replications for each treatment combination can be determined by dividing the total number of runs by the number of treatment combinations. In this case, 16 runs divided by 4 treatment combinations gives you 4 replications per treatment combination.

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Answer:

30

Step-by-step explanation:

I think that's the answer

The tangent ratio of angle y. Therefore, option C is the correct answer.

We need to find the tangent ratio of angle y.

The tangent ratio is yet another trigonometric ratio for right-angled triangles. The tangent ratio is the ratio of the opposite side to the adjacent side of a right triangle.

That is, tanθ=opposite/adjacent

Now, tan y=20/21

Therefore, option C is the correct answer.

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Answer:

25

Step-by-step explanation:

The factors of 15625 are = 5 * 5 * 5 * 5 * 5 * 5. =25 * 25 * 25 Þ the cube root of 15625 is 25.

1) Whenever we have a quadratic formula in this form:

2) We can tell that (h,k ) is the:

In other words, the peak or the lowest point.

All parts of the problem given have been explained and provided below.

Variables in any particular dataset are defined as any characteristics, numbers, or quantity that can be measured or counted to give information about any object, on which the dataset is based.

So, the variables in this given dataset are;

Overall score

Recommended

owner satisfaction

Overall miles per gallon

Acceleration (0-60) sec

Categorical or qualitative variables are those which can't be quantified or measured. Their values are defined by an order relation between the different categories.

the categorical variables in this dataset are,

Recommended

Owner satisfaction

Quantitative variables are those which can be measured in an order to provide information about an object.

the quantitative variables in this dataset are,

Overall score

Overall miles per gallon

Acceleration (0-60) sec

In the given dataset, 7 vehicles are recommended,

So their percentage would be,

7/15 × 100 = 46.67%

The average overall miles per gallon of these 15 vehicles is 25.4.

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Answer:

yesjndndkkwkdkdndkiskdn

Answer:

3.50 on each cuz 15-8=7 and 7÷2= 3.5 or 3.50

We need to find the probability that you are randomly assigned a General Practitioner or a doctor under the age of 45.

In order to find this probability, we need to find the number of doctors that are General Practitioner or under under the age of 45. Then, divide that number by he total of 17.

We know that 7 doctors are General Practitioners. And 2 of them are also under the age of 45.

Therefore, since ther are 4 doctors that are under the age of 45, there are 2 additional doctors, besided those 2 that follow in both categories, there are under the age of 45.

Summarizing, the number of doctors that are General Practitioner or a doctor under the age of 45 is:

Notice that this result can also be obtained by the formula:

where A is the set of General Practitioners, B is the set of doctors under the age of 45, and the symbol |...| represents the number of elements in that set:

Therefore, the required probability is:

Answer

To determine if a differential form is exact, we need to check if its partial derivatives satisfy the condition of equality. If the differential form is not exact, we can multiply it by an integrating factor to make it exact.

Given a differential form of the form M(x, y)dx + N(x, y)dy, we can determine if it is exact by checking if ∂M/∂y = ∂N/∂x. If this condition is not satisfied, the differential form is not exact. However, we can multiply the differential form by an integrating factor to make it exact.

By multiplying the original differential form by an integrating factor, which is usually a function of either x or y, the resulting form will have equal partial derivatives, satisfying the condition for exactness. The integrating factor effectively "corrects" the form and makes it exact.

By finding the appropriate integrating factor and multiplying it with the given differential form, we can transform it into an exact form. This process is a fundamental technique in solving certain types of differential equations and allows us to find solutions that would otherwise be challenging to obtain.

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Answer:

D. 2200 ft.lb/s

Explanation:

First, recall the standard conversion between horsepower and foot-pounds per second.

Therefore:

The correct choice is D.

where x is the estimated value and xr the real value

the percent error is 10.71%

A number that goes into a greater number with no remainders is called a factor.

A factor is an integer that divides into a greater number without any remainders.

For example, the number 6 is a factor of 18 because when 18 is divided by 6, the answer is 3 with no remainders. Similarly, the number 3 is a factor of 12 because when 12 is divided by 3, the answer is 4 with no remainders.

Factors are important in mathematics because they can be used to solve equations and determine the greatest common divisor (GCD) of two or more numbers. Factors can also be used to determine prime numbers and their multiples.

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Angle ACD is congruent to angle ADC by transitive equality if angles 1 and 2 are both ACD because angle ACB is congruent to angle ADE in the step above. Therefore, angle 1 equals angle 2, as you can see.

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Here,

Given that segments AB and AE are congruent, the triangle ABE is required to be isosceles by definition.

As a result, angle ABC must be similar to angle AED, again in accordance with the definition of an isosceles triangle.

Consequently, triangle ABC must be congruent to triangle AED by SAS as you have been informed that segments BC and DE are congruent. Right now, it's unclear to you whether angle 1 is ACB or ACD.

Assuming it is ACB, CPCT shows that ACB is congruent to ADE. Angle 1 equals angle 2, so there you have it. Since angle ACB is supplementary to angle ACD and angle ADE is supplementary to angle ADC.

Since angle ACB is congruent to angle ADE from the step above, angle ACD is congruent to angle ADC by transitive equality if angle 1 and angle 2 are both ACD. Angle 1 equals angle 2, so there you have it.

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The trapezoid is the only quadrilateral in the given list in which a diagonal does not always divide the quadrilateral into two regions of equal area.

This is because a trapezoid has two parallel sides of different lengths, so the diagonal that connects the non-parallel sides will not bisect the trapezoid's area. In contrast, a rhombus, square, rectangle, and parallelogram all have diagonals that bisect their areas, meaning that each half of the quadrilateral has an equal area.

In a trapezoid, a diagonal does not always divide the quadrilateral into two regions of equal area. Unlike squares, rectangles, and parallelograms, where diagonals create congruent triangles, trapezoids do not guarantee this property. In a trapezoid, diagonals can create triangles with different areas due to the uneven side lengths and angles. Thus, the trapezoid is the quadrilateral in which a diagonal may not always create equal-area regions.

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Answer:

hi

there was 3 Elmos and 1 Ellie how much cuteness is there

alot

.

Depends on how cute each one is. then add your math.

-Elizabeth Rodrigo

-YT: Lizzy Playz (with an icon of a cte anime girl with round glasses)

-Dis Cord: Your.Local.Lizzy.Afton

Answer:

\(b= \frac{-4}{7} a - \frac{52}{7}\)

Step-by-step explanation:

1st, isolate b.

7b=-4a-52

Next, divide both sides by 7.

b=(-4a/7)-(52/7)

There is insufficient evidence to support that bolts are too long or too short.

What is Mean and Standard Deviation?

Mean: Dividing the sum of all values in a data set by the number of values.

Standard Deviation: The standard deviation is a measure that summarizes how far away from the mean each observation is.

Given:

mean: 0.94cm

standard deviation = 0.31cm

Alright, so a manufacturer must test that these bolts are long as they come off the manufacturing line and he must readjust the machines if they're too long or too short. Consequently, sample 121V and sample mean are 0.94 cm. So we want to test whether or not these are actually equal to two, so are no hypothesis is that the mean is too and our alternative hypothesis, because it says that we have to recalibrate if they're too short or too long, is that the mean is not too we could probably go with the left tail test here because the sample mean is under but we'll be safer with a two tail test um just because the standard deviation may sway things.

So what we want to do next is compute the test statistic and that's gonna be a Z score and that's just supplied by X bar minus population mean over standard deviation over squared event. And we're using Z here because we have a high sample size and since we know the population standard deviation.

Hence, There is insufficient evidence to support that bolts are too long or too short.

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The regular price of H song is $0.89 and 15 songs were purchased for $10.68. The total cost of 15 songs was: 15 × $0.89 = $13.35. The discount is the difference between the regular price and the discounted price of 15 songs. The discounted price was $10.68.

The difference between these two prices is: $13.35 - $10.68 = $2.67. This is the amount of discount obtained by purchasing 15 songs at $10.68.So, the percentage of the discount is: Percentage of discount = [(Discount ÷ Regular price) × 100]Given that the discount is $2.67 and the regular price of 1 song is $0.89. So, Discount ÷ Regular price = $2.67 ÷ $0.89 = 3.Hence, the percentage of the discount is: Percentage of discount = (3 × 100)% = 300%.Therefore, the percent of the discount is 300%.

The given problem is about calculating the percentage of the discount provided on purchasing 15 songs at a discounted price of $10.68. It is given that the regular price of one song is $0.89.Let's calculate the regular price of 15 songs. The regular price of 1 song is $0.89. Therefore, the regular price of 15 songs will be 15 × $0.89 = $13.35.Now, let's find out the amount of discount given on purchasing 15 songs. It is given that 15 songs were purchased for $10.68. Hence, the discount is the difference between the regular price and the discounted price. So, the discount can be calculated as follows: Discount = Regular price - Discounted price Discount = $13.35 - $10.68Discount = $2.67Therefore, the amount of discount provided on purchasing 15 songs is $2.67.Now, let's calculate the percentage of discount. The formula to calculate the percentage of discount is:  Percentage of discount = [(Discount ÷ Regular price) × 100]Substituting the given values, Percentage of discount = [($2.67 ÷ $13.35) × 100]Percentage of discount = (0.2 × 100)%Percentage of discount = 20%Therefore, the percent of the discount is 20%.

Therefore, it can be concluded that the percentage of discount provided on purchasing 15 songs at a discounted price of $10.68 is 20%.

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The probability of a patient scoring above 192 on the endurance test is approximately 40.90%. A patient at the 80th percentile receives a score of approximately 208.2.

a. To find the probability that a patient will score above 192, we need to use the Z-score formula. The Z-score measures the number of standard deviations a data point is from the mean. In this case, the formula is Z = (X - μ) / σ, where X is the score, μ is the mean, and σ is the standard deviation.

First, calculate the Z-score: Z = (192 - 185) / 30 = 7/30 ≈ 0.23.

Next, we need to find the probability of scoring above this Z-score. Using a Z-table or a calculator, we find that the probability is approximately 0.4090, or 40.90%.

b. To find the score that corresponds to the 80th percentile, we need to find the Z-score that has an area of 0.80 to the left. Using the Z-table or a calculator, we find that the Z-score is approximately 0.84.

Now, we can use the Z-score formula to find the corresponding score: X = Z * σ + μ. Plugging in the values, we get X = 0.84 * 30 + 185 = 208.2.

Therefore, a patient at the 80th percentile receives a score of approximately 208.2.

a. To find the probability of a patient scoring above 192 on the endurance test, we first calculate the Z-score. This allows us to standardize the score by measuring how many standard deviations it is from the mean. We then use a Z-table or calculator to find the probability corresponding to this Z-score, which is approximately 0.4090 or 40.90%.

b. To find the score at the 80th percentile, we first need to find the Z-score that corresponds to an area of 0.80 to the left. Using a Z-table or calculator, we find this Z-score to be approximately 0.84. We then use the Z-score formula to find the corresponding score, which is approximately 208.2.

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Answer:

-19

Step-by-step explanation:

5-1=4

x/4=4

16/4=4

-3-16=-19

The linear combination of the form au+bv that would result in the vector (5,-3) is given as follows:

4u + 4.5v.

If the linear combination is true, we have that:

a(-1,3) + b(2, -2) = (5, 3).

Hence the system of equations is given as follows:

From the first equation, we have that:

a = 2b - 5.

Replacing into the second equation, the value of b is given as follows:

3(2b - 5) - 2b = 3

6b - 15 - 2b = 3

4b = 18

b = 4.5.

Hence the value of a is of:

a = 2 x 4.5 - 5

a = 4.

Then the linear combination is:

4u + 4.5v.

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the volume is 21 cubed ft.