Sooo....

solve 3x + 3/5 equal or > 4/5.

yeah if u dont understand i dont blame ya.

The answer is A. Quantitative, because numerical values, found by either measuring or counting, are used to describe the data.and D. Ratio, because the differences in the data can be meaningfully measured, and the data have a true zero point.

The variable "Expected time until return" is a quantitative variable because it involves measuring or counting numerical values.

The level of measurement for this variable depends on the scale used to measure the time until return.

If the time until return is measured on a scale with a true zero point (i.e., a point that indicates complete absence of the variable being measured), such as seconds, minutes, or hours, then the data would have a ratio level of measurement.

However, if the scale used to measure the time until return does not have a true zero point, such as if the measurement is in days or weeks, then the data would have an interval level of measurement.

The differences in the data can be meaningfully measured, but the value of 0 does not indicate the absence of the variable being measured.

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Answer:

that will be 12

Step-by-step explanation:

Step 1: Write the given expression

We have been given the equation:

If we compare coefficients this with the general quadratic equation

We can infer that

a= 1

b=-6

c=-6

To get x and y,

Step 2: Use the relationship provided

To get x

To get y, we will substitute the value of x=3 into the expression given

Hence

x = 3

y=-15

Answer:

1/6

Step-by-step explanation:

total no. of fruits = 36

no. of mangoes = 36 - 12 - 18 = 6

fraction of mangoes = 6/36 = 1/ 6

Answer:

72m

Step-by-step explanation:

Given data

Area= 2,952 m^2

Width=41m

We know that

Area= Length*width

Substitute

2,952= Length*41

Length= 2,952/41

Length= 72m

Hence the width is 72m

Answer:

14.13

Step-by-step explanation:

Step 1) Find the total area

A = pi x r^2

A = pi x 3^2

A = 9pi

Step 2) Divide the total area by 4

9pi / 4 = 2.25pi

2.25pi = 7.07

A = 7.07 square feet

Hope this helps! :)

Answer:

metals or metalloids

Step-by-step explanation:

I'm built different i dont know if im right about the question. im just not sure if i understood the question correctly

The researcher's conclusion aligns with the reality of the situation, where the actual percentage of people experiencing significant side effects from the drug is indeed 2%.

To determine if an error was made in the given scenario, we need to analyze the researcher's hypothesis test and compare it to the reality of the situation.

Null Hypothesis (H₀): The percentage of people taking the drug that experience significant side effects is equal to 2%.

Alternative Hypothesis (H₁): The percentage of people taking the drug that experience significant side effects is different from 2%.

In this case, the researcher conducted a hypothesis test and failed to reject the null hypothesis. This means that the researcher did not find sufficient evidence to support the claim that the percentage of people experiencing significant side effects from the drug is different from 2%.

Now, considering the reality of the situation, which states that the actual percentage of people experiencing significant side effects from the drug is indeed 2%, we can evaluate the possible errors that could have been made in the hypothesis test.

There are two types of errors that can occur in hypothesis testing:

1. Type I Error: This occurs when the null hypothesis is rejected, but it is actually true. In this scenario, the researcher failed to reject the null hypothesis, which means they did not commit a Type I Error.

2. Type II Error: This occurs when the null hypothesis is not rejected, but it is actually false. In this case, since the researcher failed to reject the null hypothesis and the null hypothesis is actually true (the actual percentage is 2%), the researcher did not commit a Type II Error either.

Therefore, based on the information provided, no error was made in the hypothesis testing process. The researcher's conclusion aligns with the reality of the situation, where the actual percentage of people experiencing significant side effects from the drug is indeed 2%.

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Answer:

dhdhrjfidgegehfr fhfn fhc fn dncc c. f byn

Step-by-step explanation:

h(t) = -16t² + 64t + 32

When h(t) = 80, -16t² + 64t + 32 = 80.

=> 16t² - 64t + 48 = 0

=> t² - 4t + 3 = 0

=> (t - 1)(t - 3) = 0

=> t = 1 or t = 3.

Hence the difference between the times is 2 seconds. (B)

When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).

The lower bound of a 90% confidence interval can be calculated using the following formula:

Lower bound = (1 - confidence level) / 2 * n
where confidence level is 0.90 and n is the sample size, which is 13 in this case.

Plugging in the values, we get:
Lower bound = (1 - 0.90) / 2 * 13
Lower bound = 0.05 * 13
Lower bound = 0.65

Since we need to round off to the nearest integer, the lower bound of a 90% confidence interval would be 1.
Therefore, the answer is: 1  

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To find two real numbers that have a sum of 14 and a product of 38, we can set up a system of equations. Let's call the two numbers x and y.

From the problem statement, we have the following information:

Equation 1: x + y = 14 (sum of the two numbers is 14)

Equation 2: xy = 38 (product of the two numbers is 38)

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

From Equation 1, we can express y in terms of x by subtracting x from both sides:

y = 14 - x

Now we substitute this value of y into Equation 2:

x(14 - x) = 38

Expanding the equation, we have:

14x - x^2 = 38

Rearranging the equation to bring it to quadratic form:

x^2 - 14x + 38 = 0

Now we can solve this quadratic equation. We can either factorize it or use the quadratic formula. However, upon examining the equation, we find that it doesn't factorize easily. Therefore, we'll use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

For our quadratic equation, the coefficients are:

a = 1, b = -14, c = 38

Substituting these values into the quadratic formula, we have:

x = (-(-14) ± √((-14)^2 - 4(1)(38))) / (2(1))

x = (14 ± √(196 - 152)) / 2

x = (14 ± √44) / 2

x = (14 ± 2√11) / 2

Simplifying further, we have:

x = 7 ± √11

So we have two possible values for x: 7 + √11 and 7 - √11.

To find the corresponding values of y, we can substitute these values of x back into Equation 1:

For x = 7 + √11, y = 14 - (7 + √11) = 7 - √11

For x = 7 - √11, y = 14 - (7 - √11) = 7 + √11

Therefore, the two real numbers that have a sum of 14 and a product of 38 are (7 + √11) and (7 - √11).

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Answer:

26

Step-by-step explanation:

Answer:

322 ft²

Step-by-step explanation:

Trapezoid area formula:

\(A=\frac{a+b}{2} *h\)

Given:

a = 11

b = 35

h = 14

Work:

\(A=\frac{a+b}{2} *h\\\\A=\frac{11+35}{2} *14\\\\A=\frac{46}{2} *14\\\\A=23*14\\A=322\)

Answer:

322 ft^2

Step-by-step explanation:

for a trapezoid A= base 1+ base 2 divided by 2, multiplied by the height

(35+11/2)*14= 322

Answer:

no 379s not in the sequence below

The numerical value of the third term (a3) is 16.

To find the expanded form of the sequence given by the recurrence relation an=nan−1; a1=2, we need to use the formula recursively. We start with the first term, a1=2, and use the recurrence relation to find the second term:
a2 = a2*a1 = 2*2 = 4
Using the recurrence relation again, we can find the third term:
a3 = a3*a2 = a3*4
But we don't know what a3 is yet. To find it, we can use the recurrence relation once more:
a3 = a3*a2 = a3*4*a1
Now we have all the terms in terms of a1:
a1 = 2
a2 = a1*a1 = 2*2 = 4
a3 = a1*a2 = 2*4*2 = 16
Therefore, the numerical value of the third term (a3) is 16.

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The surface area and volume of a pentagonal prism is  5/2 × a² × √(5 + 2√5) + 5ab and (1/4) × (5 + 2√5) × a² × h respectively. We can find the solution in the following manner.

A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagons as the top and bottom faces, and five rectangular faces connecting them.

To find the surface area and volume of a pentagonal prism, we need to know its height, the length of the sides of the pentagon, and the length of the rectangular faces.

Let's denote the height of the pentagonal prism as "h", the side length of the pentagon as "a", and the length of the rectangular face as "b".

Surface Area of a Pentagonal Prism:

The surface area of a pentagonal prism is the sum of the areas of its faces. There are two pentagonal faces and five rectangular faces in a pentagonal prism.

Area of each pentagonal face = 5/4 × a² × √(5 + 2√5)

Area of each rectangular face = a × b

Total surface area = 2 × Area of pentagonal face + 5 × Area of rectangular face

= 5/2 × a² × √(5 + 2√5) + 5ab

Volume of a Pentagonal Prism:

The volume of a pentagonal prism is given by the formula:

Volume = (1/4) × (5 + 2√5) × a² × h

Therefore, the surface area and volume of a pentagonal prism can be calculated using the above formulas, given the values of a, b, and h.

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The surface area and volume of a pentagonal prism is sum of the areas of its faces, and (1/4) × (5 + 2√5) × a² × h.

A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagons as the top and bottom faces, and five rectangular faces connecting them.

Surface Area of a Pentagonal Prism:

The surface area of a pentagonal prism is the sum of the areas of its faces. There are two pentagonal faces and five rectangular faces in a pentagonal prism.

Total surface area = 2 × Area of pentagonal face + 5 × Area of rectangular face

Volume of a Pentagonal Prism:

The volume of a pentagonal prism is given by the formula:

Volume = (1/4) × (5 + 2√5) × a² × h

Therefore, the surface area and volume of a pentagonal prism can be calculated using the above formulas, given the values of a, b, and h.

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The Length of AD is 78 cm.

From the figure, G is Centroid.

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.

The centroid of the triangle separates the median in the ratio of 2: 1.

Centroid divides median in the ratio 2:1 .

As per the given data AG = 52

2 parts is 52 .

3 parts is (52 × 3 )/2= 78

Therefore, the length of AD is 78.

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Answer:

(a)The missing measurements are 9 feet and \(16\frac{1}{4}$ feet\).

(b)Therefore, the length of the fence is  \(97\frac{1}{2}$ feet\)

Step-by-step explanation:

The diagram of the yard is attached below.

(a)I have labeled the missing dimensions of the yard as x and y.

Therefore:

\(y+8\frac{1}{4}=17 \frac{1}{4}\\y=17 \frac{1}{4}-8\frac{1}{4}\\y=9$ feet\)

Similarly:

\(x+15\frac{1}{4}=31\frac{1}{2}\\x=31\frac{1}{2}-15\frac{1}{4}\\x=31-15+\frac{1}{2}-\frac{1}{4}\\x=16+\frac{1}{4}\\x=16\frac{1}{4}$ feet\)

The missing measurements are 9 feet and \(16\frac{1}{4}$ feet\).

(b)Length of the Fence

The fence is rectangular shaped with:

Length = \(31\frac{1}{2}$ feet\)

Width = \(17 \frac{1}{4}$ feet\)

Perimeter of a Rectangle = 2(L+W)

Therefore, the length of the fence

\(=2(31\frac{1}{2}+17 \frac{1}{4})\\=2(31+17+\frac{1}{2}+ \frac{1}{4})\\=2(48+ \frac{3}{4})\\=96+\frac{3}{2}\\=97\frac{1}{2}$ feet\)

To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0

We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:

We can combine the three summations into a single summation:

∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0

Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:

This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:

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Answer:

a= 10     b=1

Step-by-step explanation:

I had the same question

Answer:   .8

Step-by-step explanation:

\(\frac{16}{20}\)            >reduce the fraction first by dividing the top and the bottome by 4

                so it is easier to divide

=\(\frac{4}{5}\)           >now divide 4 by 5

> 4 cannot go into 5 so you would place a decimal point after the 4 and add a 0

>4.0   divided by 5 is .8

=.8

you get a decimal which is less than 1 because you only have 4/5 which is less than 1 whole so you only get a portion as a decimal.

Long division is the universal way, but it can also be approached differently.

We know that \(20\cdot5=100\), therefore \(\dfrac{16}{20}=\dfrac{16\cdot5}{20\cdot5}=\dfrac{80}{100}=\dfrac{8}{10}=0.8\).

Or simplify \(\dfrac{16}{20}\) first: \(\dfrac{16}{20}=\dfrac{4}{5}\). Then using the same logic as above - \(5\cdot2=10\), therefore we \(\dfrac{4}{5}=\dfrac{4\cdot2}{5\cdot2}=\dfrac{8}{10}=0.8\).

a. The value corresponding to surviving the year is $0, and the value corresponding to not surviving the year is -$90,000.

b. The expected value for the 33-year-old male purchasing the policy is -$579.06.

c. Yes, the insurance company can expect to make a profit from many such policies because the expected profit per 33-year-old male insured for 1 year is $408.06.

a. The monetary value corresponding to surviving the year is $0 because the individual would not receive any payout from the insurance policy if he survives. The monetary value corresponding to not surviving the year is -$90,000 because in the event of the individual's death, the policy pays out a death benefit of $90,000.

b. To calculate the expected value for the 33-year-old male purchasing the policy, we need to multiply the probability of each event by its corresponding monetary value and sum them up. The probability of surviving the year is 0.9988, and the value corresponding to surviving is $0. The probability of not surviving the year is (1 - 0.9988) = 0.0012, and the value corresponding to not surviving is -$90,000.

Expected value = (Probability of surviving * Value of surviving) + (Probability of not surviving * Value of not surviving)

Expected value = (0.9988 * $0) + (0.0012 * -$90,000)

Expected value = -$108 + -$471.06

Expected value = -$579.06 (rounded to the nearest cent)

c. The insurance company can expect to make a profit from many such policies because the expected value for the 33-year-old male purchasing the policy is negative (-$579.06). This means, on average, the insurance company would pay out $579.06 more in claims than it collects in premiums for each 33-year-old male insured for 1 year. Therefore, the insurance company expects to make an average profit of $579.06 on every 33-year-old male it insures for 1 year.

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Answer: its easy 0 and 4

Step-by-step explanation:

Answer:

2x - y = 2

Step-by-step explanation:

The first thing to do is find the slope of the line. Slope can be found using:

rise/run

you can count up on the graph then count across on the x-axis until you reach a point on the line

If you start on -2, you'll count up 2 then go across 1 to land on point (1,0)

So your slope is 2/1 which is just 2

Another thing to note is that your line intercepts at point (0,-2)

With this information, we can create an equation for the line that is in slope intercept form:

y = mx + b

m = slope

b =y- intercept

y = 2x - 2

HOWEVER, the question asks for this to be in standard form, so we have to get x on the right side of the expression and make sure the first and last values are positive:

y   = 2x - 2

-2x   -2x

-2x + y = -2

     /-1     /-1

2x - y = 2

the area enclosed by the curves x = -2, x = 3, y = 3x² - 28, and y = 4x + 11 is -1014/27 square units.

To find the area enclosed by the curves x = -2, x = 3, y = 3x² - 28, and y = 4x + 11, we can integrate the difference between the upper and lower curves with respect to x.

First, let's find the points of intersection between the curves to determine the limits of integration.

Setting the two y-equations equal to each other:

3x² - 28 = 4x + 11

Rearranging the equation:

3x² - 4x - 39 = 0

We can solve this quadratic equation to find the x-values of the points of intersection. Factoring or using the quadratic formula, we find:

(x - 3)(3x + 13) = 0

This gives two solutions: x = 3 and x = -13/3.

Therefore, the limits of integration for the x-coordinate are -13/3 to 3.

To calculate the area, we integrate the difference between the upper curve (3x² - 28) and the lower curve (4x + 11) with respect to x:

A = ∫[-13/3, 3] [(3x² - 28) - (4x + 11)] dx

Simplifying:

A = ∫[-13/3, 3] (3x² - 4x - 39) dx

Integrating term by term:

A = [(x³ - 2x² - 39x)]|_[-13/3 to 3]

Evaluating the definite integral:

A = [(3³ - 2(3)² - 39(3)) - ((-13/3)³ - 2(-13/3)² - 39(-13/3))]

A = [(27 - 18 - 117) - ((-2197/27) - 2(169/9) + 507/3)]

A = [-108 - (-2197/27 + 338/9 + 507/3)]

A = [-108 - (-1902/27)]

A = [-108 + 1902/27]

A = (1902/27) - (2916/27)

A = -1014/27

Therefore, the area enclosed by the curves x = -2, x = 3, y = 3x² - 28, and y = 4x + 11 is -1014/27 square units.

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Answer:

18

Step-by-step explanation:

because i smart it's will be 18

If there are n men and n women in the group, we can first arrange the men and women separately in alternate positions. We can treat the men as a single group and arrange them in n! ways, and similarly, we can treat the women as a single group and arrange them in n! ways.

Next, we need to arrange the two groups (men and women) in alternate positions to satisfy the given condition. Since we need to place the youngest person (who could be a man or a woman) at the beginning of the row, we have two cases:

Case 1: The youngest person is a man

In this case, the men must start the arrangement, followed by the women. Since there are n men and n women, there are n! ways to arrange the men and n! ways to arrange the women. We can fix the youngest man at the beginning of the row, so there are (n-1)! ways to arrange the remaining n-1 men. Similarly, there are (n-1)! ways to arrange the n-1 women. Therefore, the total number of arrangements in this case is:

n! * n! * (n-1)! * (n-1)!

Case 2: The youngest person is a woman

In this case, the women must start the arrangement, followed by the men. Since there are n women and n men, there are n! ways to arrange the women and n! ways to arrange the men. We can fix the youngest woman at the beginning of the row, so there are (n-1)! ways to arrange the remaining n-1 women. Similarly, there are (n-1)! ways to arrange the n-1 men. Therefore, the total number of arrangements in this case is:

n! * n! * (n-1)! * (n-1)!

To get the total number of arrangements that satisfy the given condition, we need to add the number of arrangements in Case 1 and Case 2:

n! * n! * (n-1)! * (n-1)! + n! * n! * (n-1)! * (n-1)!

= 2 * n! * n! * (n-1)! * (n-1)!

= 2 * (n!)^2 * (n-1)!

Therefore, the total number of ways to arrange the people in a row with alternating men and women, starting with the youngest person, is 2 * (n!)^2 * (n-1)!.

Answer:

1. The graphs of f(x) and h(x) are both quadratic functions with a minimum point. However, the minimum point of f(x) is located at (6,0), while the minimum point of h(x) is located at (2,3).

2. The graphs of g(x) and h(x) both open upwards and are quadratic functions. However, the vertex of g(x) is located at the origin (0,0), while the vertex of h(x) is located at (2,3).

3. The graph of g(x) is a simple parabola that opens upwards, while the graphs of f(x) and h(x) are more complex parabolas with a minimum point and an upward opening. The graph of f(x) is centered at (6,0), while the graph of h(x) is centered at (2,3).

Answer:

It is 1 cent cheaper  to pay 5.46 for 7 apples.

Step-by-step explanation:

Find the unit rate:

5.46 /7 = 0.78

This is the cost for 1 apple

3.95/5 = 0.79

This is the cost for 1 apple

Answer:

5 apples for 3.95 is the better deal

Step-by-step explanation:

If you divide 7 by 5.46 you should get roughly 1.28, so $1.28 per apple

and if you divide 5 by 3.95 you should get roughly 1.26, meaning $1.26 per apple. You can verify this by multiplying 1.26 by 5 and 1.28 by 7