2. What is the x-intercept for the equation -2x + 5y = -10?

In parametric models, "two-way association" refers to the relationship between two variables where each variable has an influence on the other. It implies that changes in one variable affect the other, and vice versa.

In parametric models, two-way association is characterized by a mutual dependency between the variables. This means that the values of both variables are determined by each other rather than being independent. The association can be described in terms of a mathematical equation or model that represents the relationship between the variables.

For example, in a regression model, if we have two variables X and Y, a two-way association implies that changes in X will cause corresponding changes in Y, and changes in Y will cause corresponding changes in X. This indicates a bidirectional relationship where both variables influence each other. Two-way associations are important in understanding and analyzing complex systems and can provide insights into causal relationships and interactions between variables.

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The math club sold approximately 77 roses and 18 tulips.

Let's assume the number of tulips sold is represented by the variable 't', and the number of roses sold is represented by the variable 'r'.

According to the problem statement, the number of roses sold was 5 more than 4 times the number of tulips sold.

So, we can write the equation:

r = 4t + 5   (Equation 1)

The total revenue made by selling tulips and roses is $362. Tulips were sold for $3 each and roses for $4 each. We can write the equation for total revenue as:

3t + 4r = 362   ...(Equation 2)

Now, we can solve this system of equations to find the values of 'r' and 't'.

Substituting Equation 1 into Equation 2:

3t + 4(4t + 5) = 362

Simplifying the equation:

3t + 16t + 20 = 362

19t + 20 = 362

19t = 342

t = 342 / 19

t ≈ 18

Now, substituting the value of 't' back into Equation 1 to find 'r':

r = 4t + 5

r = 4(18) + 5

r = 72 + 5

r = 77

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The expression in simplest form that represents the total cost for x students is 11.55x, the correct option is C.

Expression in mathematics can be defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that a student in a math class has to buy the items in the table.

Now,

x(9.65+0.65+1.25)

=9.65x+0.65x+1.25x

=11.55x

Therefore, the expression in simplest form will be 11.55x.

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The equation of the parallel line is y = 6/5(x - 9) - 1

The equation is given as

6x -5y = 3

Make y the subject

y = 6x/5 - 3/5

The point is also given as

(x, y) = (9, -1)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following:

m = 6/5

This means that the slope of the line is 6/5

The slopes of parallel lines are equal

This means that the slope of the other line is 6/5

The equation of the parallel line is then calculated as

y = m(x - x₁) +y₁

Where

m = 6/5

(x₁, y₁) = (9, -1)

So, we have

y = 6/5(x - 9) - 1

Hence, the parallel line has an equation of y = 6/5(x - 9) - 1

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The test statistic for the population mean has a t-distribution with 9 degrees of freedom. Correct option is D.

The test statistic for the population mean in this scenario is a t-distribution with 9 degrees of freedom (option D).

To determine the test statistic, we need to use the formula:

t = (x' - μ) / (s / √n)

where x' is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

In this case, the hypothesized population mean is 2.5 grams, the sample mean is 2.47 grams, the sample standard deviation is 0.04 gram, and the sample size is 10.

Plugging these values into the formula, we get:

t = (2.47 - 2.5) / (0.04 / √10) ≈ -1.58

Since the sample size is less than 30, we use a t-distribution instead of a standard normal distribution. The degrees of freedom for the t-distribution is equal to n - 1, which in this case is 10 - 1 = 9.

We can use this distribution to calculate the p-value and make inferences about the population mean based on the sample data. Therefore, the correct option is D.

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1. Write the equation in standard form:

2. Identify the coefficients a, b and c:

3. Substitute the values into the quadratic equation:

4. Solve the equation for x1 and x2:

Exact form and approximate form are the same for both solutions (x1 and x2):

Answer:

-8 + 4 I believe

Step-by-step explanation:

you sup in 4 for X so -4(2) = 8 and then you sub the other X for making the answer -8 + 4

Based on common factors, Fatoumata can increase each dimension of the deck by 2 feet so that the deck's new area is increased by 50% to 126 ft².

Common factors are the numbers that can divide another number evenly without a remainder.

In this situation, 9 and 14 can divide 126 equally and the product of 9 and 14 are 126.

The old dimensions of the deck:

Width = 7 feet

Length = 12 feet

Area = 84 ft² (7 x 12)

The expected new area of the deck:

Increase in the new area = 5%

Increased factor for the area = 1.5 (100% + 50%)

Area = 126 ft² (84 x 1.5)

The common factors of 126 include 9 and 14 and the product of 9 and 14 = 126.

Therefore, we can increase each length of the deck by 2 feet.

Check:

Width = 9 feet

Length = 14 feet

Area = 126 ft² (9 x 14)

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Answer:

\(x=68\)

Step-by-step explanation:

The sum of the interior angles in a polygon with n sides is 180(n-2), therefore, since the polygon has 5 sides, the sum of its interior angles is 180(5-2)=180(3)=540°.

\(x^\circ+(2x+7)^\circ+(x-8)^\circ+(3x-11)^\circ+(x+8)^\circ=540^\circ\\\\x+2x+7+x-8+3x-11+x+8=540\\\\8x-4=540\\\\8x=544\\\\x=68\)

Therefore, \(x=68\)

Check the picture below.

The requried measure of the angle m∠C in the given circle is 15°.

In the given circle the m∠DFB is 41°, mArc EF is 52°
To find out the measure of the angle m∠C.

Following the properties of arcs in the circle,
arc BD = 2m∠BFD
arc BD=2*41 = 82

Now we know that,
The angle subtended by two sectants drawn from the single point that lies outside the circle is given by the difference in larger and minor arcs divided by 2.

∠c= BD- EF / 2
∠c = 82°-52°/2
∠c = 15°

Thus, the requried measure of the angle m∠C in the given circle is 15°.

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Answer:

8 years

Step-by-step explanation:

Currently

Abebe → 12 years old

Aster → 2 years

With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.

Difference in ages

= 12 -2

= 10

Let the age of Aster be x years old when Abebe is twice her age.

Abebe → 2x years old

Aster → x years old

Difference in age

= 2x -x

= x

x= 10

Aster is 10 years old when Abebe is twice her age.

Number of years passed

= 10 -2

= 8

Thus, Abebe will be twice as old as her sister in 8 years.

Answer:

0

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

-2y= 8-X

y= -4+X/2

y= X/2-4

recall that: y= mx+c

in the equation y= x/2+C

m=1/2

where m is your slope

Since the equation is written as factors, we can equate each factor to zero in order to find the solutions of the equation:

The solution set is {5/4, 2}, therefore the correct option is the first one.

Answer:

Yes it is

Step-by-step explanation:

2/100 = 0.02

You have to move two spaces to the left of 2, as 100 contains two zeroes (u must start counting from 2 and put zeroes along, until u finish counting)

after u finish counting put a 0. in the left of of all the zeroes and the 2

The relationship between the variables x, y and z is an illustration of similar triangles

The values of x, y and z are 6, \(\sqrt{117}\) and \(\sqrt{52\)

Right triangles are triangles with an angle measure of 90 degrees, and we have the following equivalent ratio from the triangle

\(x : 9 = 4 : x\)

Express as fraction

\(\frac x9 = \frac 4x\)

Cross multiply

\(x^2 = 36\)

Take the square root of both sides

\(x = 6\)

The value of y is then calculated using the following Pythagoras theorem

\(y = \sqrt{9^2 + x^2\)

This gives

\(y = \sqrt{9^2 + 6^2\)

\(y = \sqrt{117\)

The value of z is then calculated using the following Pythagoras theorem

\(z = \sqrt{4^2 + x^2\)

This gives

\(z = \sqrt{4^2 + 6^2\)

\(z = \sqrt{52\)

Hence, the values of x, y and z are 6, \(\sqrt{117}\) and \(\sqrt{52\)

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Answer:

2.66 and 4.34

Step-by-step explanation:

To evaluate, substitute the values of y and solve.

So, when y =-2

0.67y + 4 = -1.34 + 4 = 2.66

And when y = 2

0.67y + 4 = 1.34 + 4 = 4.34

Hope this helps.

Answer:

y = 2

 5.34

y = -2

- 2.66

Step-by-step explanation:

0.67y + 4

y = 2

.67(2)+2

 1.34+4 = 5.34

y = -2

-.67(2)+2

 -1.34+4 = 2.66

Answer:

a=22.478

Step-by-step explanation:

Answer:

Angle DE = 11

Step-by-step explanation:

DE = DF

8x + 3 = 6x + 5

8x = 6x + 5 - 3

8x - 6x = 2

2x = 2

2x/2 = 2/2

x = 1

DE = 8x + 3

DE = 8(1) + 3

DE = 8 + 3

DE = 11

Hope this helps

By using  1-PsiTarget(H15, 500) we compute the probability of cell H15's value exceeding 500 in a spreadsheet simulation.

PsiTarget is a function commonly used in spreadsheet simulation software to calculate probabilities.

The first argument (H15) specifies the cell you want to calculate the probability for.

The second argument (500) represents the target value you want to compare against.

The PsiTarget function returns the probability of the cell's value being less than or equal to the target value.

By subtracting this probability from 1, you get the probability of the cell's value exceeding the target value.

Therefore, the correct formula to compute the probability of cell H15's value exceeding 500 is 1-PsiTarget(H15, 500).

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The parabola's vertex is located at (-2, 8). The parabola's graph is then depicted below.

Let a be the leading coefficient and the parabola's vertex be the point (h, k). The parabola's equation will therefore be stated as,

y = a(x - h)² + k

The parabola's equation is stated as,

y = -(x + 2)² + 8

The downward-pointing parabola is represented by the negative sign.

The vertex of the parabola is at (-2, 8), according to the equation above. The parabola's graph is then depicted below.

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Sam travels on the highway for approximately 1.4 hours.

We know that Sam's total travel time is 1.5 hours plus the time he spends on the highway, which we'll call "x" hours. So his total travel time can be represented as:

Total travel time = 1.5 + x

We also know that the total distance he travels is 140 miles. We can use the formula:

distance = rate x time

to set up two equations, one for his travel on city roads and one for his travel on the highway. Let's start with the city roads:

distance = rate x time

distance = 35 mph x 1.5 hours

distance = 52.5 miles

So Sam travels 52.5 miles on city roads, which means he still has to travel:

140 miles - 52.5 miles = 87.5 miles

on the highway. Now we can set up an equation for his travel on the highway:

distance = rate x time

87.5 miles = 65 mph x x hours

Solving for x, we get:

x = 87.5 miles / (65 mph)

x ≈ 1.35 hours

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I have solved the question in general, as the given question is incomplete:

The complete question is:

Sam is driving a distance of 140 miles from his house to visit Melissa. Sam takes city roads , on which can he travel an average of 35 mph for a total of 1.5 hours . Sam also takes the highway , on which he travels an average of 65 mph for a total of x hours . approximately how long does Sam travels on the highway , to the nearest tenth of an hour ?

Answer:

X equals 33 degrees

Step-by-step explanation:

Every triangle equals a total of 180 degrees. If you add 114 and 33 you get 147 degrees. You subtract 147 from 180 to get your answer for X, Which is 33 degrees.

Answer:

x = 33

Step-by-step explanation:

since the sum of interior angles of a triangle is 180 so simply add the given angles and make it equal to 180 degrees

x + 114 + 33 = 180

x + 147 = 180

x = 180 - 147

x = 33

to check whether the above value of x is correct simply just put the above value of x in

x + 114 + 33 = 180

33 + 114 + 33 = 180

180 = 180

since both sides are equal so that means the above value of x is correct

Answer:

(-0.5, 3.5)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The volume of the box is 72 cubic feet.

We have,

To find the volume of the box, we need to multiply its length, width, and height.

Given:

Length = 4 ft

Breadth = 6 ft

Height = 3 ft

The volume of the box is:

Volume = Length x Breadth x Height

Volume = 4 ft x 6 ft x 3 ft

Volume = 72 cubic feet

Therefore,

The volume of the box is 72 cubic feet.

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The area of the rectangle if both the length and the width of the rectangle are doubled is 340 yd²

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the length and y represent the width of the rectangle. The area is 85 yd², hence:

xy = 85

If both the length and the width of the rectangle are doubled:

new length = 2x; new width = 2y

new area = 2x * 2y = 4xy = 4(85) = 340 yd²

The area of the rectangle if both the length and the width of the rectangle are doubled is 340 yd²

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Answer:

B

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

the angle will always match the arc created on the circumference.

if the angle was 154°, the arc would also measure 154°

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Answer:

127

Step-by-step explanation:

The given sequence is an arithmetic sequence with a common difference of 4.

To find the 32nd term, we can use the formula for the nth term of an arithmetic sequence:

an = a1 + (n - 1)d

where an is the nth term, a1 is the first term, n is the number of terms, and d is the common difference.

In this case, a1 = 3, d = 4, and n = 32. Substituting these values into the formula, we get:

a32 = 3 + (32 - 1)4

a32 = 3 + 124

a32 = 127

Therefore, the 32nd term is 127.

Answer:

T₃₂ = 127

Step-by-step explanation:

3 , 7 , 11 , 15 , 19

First, let us find the common difference of this arithmetic sequence.

d = 7 - 3 = 4

And now let us use the below formula to find the 32nd term.

T n = a + ( n - 1 ) × d

Here,

a → first term → 3

d → common difference → 4

n → No. of terms → 32

Let us find it now.

T₃₂ = a + ( n - 1 ) × d

T₃₂ = 3 + ( 32 - 1 ) × 4

T₃₂ = 3 + 31 × 4

T₃₂ = 3 + 124

T₃₂ = 127

Answer:

0.75

Step-by-step explanation:

88% of the cookies are not oatmeal.