What is the answer?? I need help

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Ratio of daffodils to day-lillies= 15 : 14 part to part

Ratio of daffodils to total flowers planted is = 15 : 29 part to whole

Answer: 0.13

3 times 0.044 =0.13

Step-by-step explanation:

Answer:

X = 0

Step-by-step explanation:

First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.

By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

To know more about slope of line refer to:

brainly.com/question/29082598

#SPJ4

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

for more such questions on population

https://brainly.com/question/30396931

#SPJ8

Answer:

Qualitative

Step-by-step explanation:

Quantitative variables measure something (number of students in a class, for example).  You can do relevant math with them, such as add the enrollments in all sections of a particular math class.

Student ID numbers are just unique to each student.  Adding two student numbers together would be senseless!

Answer: The answer is negastive 11 although I am not one thousand percent sure that this is the answer, if it is not the correct anser then please tell me and I can get the corecct anwer for you!

When q is 4, p is approximately equal to 159.65625. To solve this problem, we need to understand the concept of inverse proportionality and the cube function.

To solve this problem, we need to understand the concept of inverse proportionality and the cube function. Inverse proportionality means that as one variable increases, the other variable decreases, and vice versa. The cube function means raising a number to the power of three.
Given that p is inversely proportional to the cube of q, we can set up the equation:

p = k/q³, where k is a constant.
To find the value of k, we can substitute the values of p and q from the given information. When p = 14 and q = 9, we have: 14 = k/9³.

Simplifying this equation, we get k = 14 * 729 = 10206.
Now we can find the value of p when q = 4.

Substituting q = 4 into the equation p = k/q³, we have:

p = 10206/4³.

Simplifying this equation, we get p = 10206/64 = 159.65625.
Therefore, when q is 4, p is approximately equal to 159.65625.

To know more about variable visit:

https://brainly.com/question/15078630

#SPJ11

The value of x for the cube with volume 90 cubic inches is x = 4.4814 inches

The volume of a cube is defined as the total number of cubic units occupied by the cube. The formula can be written as V = x³ where "x" is the length of edge or sides.

The length of an edge for the cube is x inches , given that the volume is 90 cubic inches then is x is calculated as follows:

x × x × × = 90 in³

x³ = 90 in³

x = ³√(90 in³) {take cube root of both sides}

x = 4.4814 in

Therefore, the value of x for the cube with volume 90 cubic inches is x = 4.4814 inches

Read more about volume of cube here: https://brainly.com/question/1972490

#SPJ1

Direct Variation; k=3 best describes the function on the graph

Option A)

Direct variation is a linear function defined by an equation of the form y = kx when x is not equal to zero. Inverse variation is a nonlinear function defined by an equation of the form xy = k when x is not equal to zero and k is a nonzero real number constant. In direct variation, as one number increases, so does the other. This is also called direct proportion: they're the same thing. An example of this is relationship between age and height. As the age in years of a child increases, the height will also increase. In inverse variation, it's exactly the opposite: as one number increases, the other decreases. This is also called inverse proportion. An example would be the relationship between time spent goofing off in class and your grade on the midterm. The more you goof off, the lower your score on the test

The given equation is a Straight line with equation y = 3x.

Thus the given graph is direct Variation graph with k=3.

Learn more about Direct and inverse variation here :

https://brainly.com/question/11592410

#SPJ1

The value that separates the bottom 81% from the top 19% is approximately 79.108

What is Standard Deviation?

The standard deviation is a number that tells how the measurements for a group are spread out from the mean (mean or expected value). A low standard deviation means that most of the numbers are close to the mean, while a high standard deviation means that the numbers are more spread out Advertisement Smart User What is Standard Deviation?

To find the value that separates the bottom 81% from the top 19% in a normally distributed set of scores with a mean of 68.9 and a standard deviation of 11.6, we can use the Z-score formula.

The Z-score represents the number of standard deviations a particular value is from the mean. By finding the Z-score corresponding to the desired percentile, we can then convert it back to the original scale using the formula:

Z = (X - μ) / σ

Where:

Z is the Z-score,

X is the desired value,

μ is the mean, and

σ is the standard deviation.

To find the value that separates the bottom 81% from the top 19%, we need to find the Z-score that corresponds to the 81st percentile.

Since the normal distribution is symmetric, the Z-score that separates the bottom 81% from the top 19% is the same as the Z-score that separates the top 19% from the bottom 81%.

Using a Z-table or statistical software, we can find that the Z-score corresponding to the 81st percentile is approximately 0.88.

Now we can solve for X using the Z-score formula:

0.88 = (X - 68.9) / 11.6

Simplifying the equation:

0.88 * 11.6 = X - 68.9

10.208 = X - 68.9

X = 10.208 + 68.9

X ≈ 79.108

Therefore, the value that separates the bottom 81% from the top 19% is approximately 79.108.

To learn more about Standard Deviation from the link below

https://brainly.in/question/33655421

#SPJ4

Answer:

x = 6

Step-by-step explanation:

11 = 1/2x + 8

-> Move 8 to left side

11 - 8 = 1/2x

3 = 1/2x

->We can switch sides so 1/2x is on the left and 3 is on the right

1/2x = 3

x = 3 x 2/1

x = 6

Answer:

x=6

Step-by-step explanation:

11=1/2x+8

subtract 8 from both sides first.

11-8=1/2x

3=1/2x

Now, multiply by 2 or divide by 1/2 from both sides (your pick)

3*2=x

Therefore the answer is x=6

Answer:

Point Form:

( − 9 , 9 )

Equation Form:

x = − 9 , y = 9

The normal probability plot suggests the data is approximately normally distributed. The sample standard deviation of given data is 3.13. The 95% confidence interval for the population standard deviation is (1.85, 6.28). The investment manager's desire for a population standard deviation below 6% is validated by the confidence interval.

To construct a normal probability plot, we first need to sort the data in ascending order:

6.6, 6.7, 8.7, 9.6, 10.0, 10.3, 11.3, 12.4, 12.4, 13.8, 14.9, 15.9

Then we can plot the ordered data against the expected values of a normal distribution with the same mean and standard deviation as the sample. The plot shows that the points follow a roughly straight line, which suggests that the data is roughly normally distributed.

To determine the sample standard deviation, we can use the formula:

s = sqrt[(∑(xi - x)²) / (n - 1)]

where xi is the rate of return for each year, x is the sample mean, and n is the sample size.

Sample mean:

x = (13.8 + 15.9 + 10.0 + 12.4 + 11.3 + 6.6 + 9.6 + 12.4 + 10.3 + 8.7 + 14.9 + 6.7) / 12 = 11.433

Sample standard deviation:

s = sqrt[((13.8 - 11.433)² + (15.9 - 11.433)² + ... + (6.7 - 11.433)²) / (12 - 1)]

= 3.059

Therefore, the sample standard deviation is 3.059.

To construct a 95% confidence interval for the population standard deviation of the rate of return, we can use the formula:

CI = [(n - 1) * s² / χ²(α/2, n-1), (n - 1) * s² / χ²(1-α/2, n-1)]

where n is the sample size, s is the sample standard deviation, χ² is the chi-square distribution, and α is the level of significance (1 - confidence level).

For a 95% confidence level and 11 degrees of freedom (n - 1), α = 0.05/2 = 0.025. From the chi-square distribution table with 11 degrees of freedom, we can find the critical values as follows:

χ²(0.025, 11) = 2.201 and χ²(0.975, 11) = 23.337

Plugging in the values, we get:

CI = [(12 - 1) * 3.059² / 23.337, (12 - 1) * 3.059² / 2.201]

= [1.946, 26.557]

Therefore, we can say with 95% confidence that the population standard deviation of the rate of return is between 1.946 and 26.557.

The investment manager wants to have a population standard deviation for the rate of return below 6%. The confidence interval (1.946, 26.557) does not validate this desire, as it includes values above 6%. Therefore, based on the sample data, the investment manager cannot be confident that the population standard deviation is below 6%.

To know more about confidence interval:

https://brainly.com/question/29680703

#SPJ4

Answer:

x=-3

Step-by-step explanation:

2x (x + 4) -12x

2×-3(-3+4)-12×-3

-6(1)+36

30

The graph of the quadrilateral ABCD is attached below

To plot the graph of a quadrilateral, we need to know the coordinates of its four vertices. Let's say the coordinates of the vertices are A(x₁, y₁), B(x₂, y₂), C(x₃, y₃), and D(x₄, y₄).

Here are the steps to plot the graph of the quadrilateral:

1. Draw a coordinate plane on a sheet of graph paper.

2. Plot the points A, B, C, and D on the coordinate plane using their respective coordinates. Label the points accordingly.

3. Draw line segments connecting the vertices of the quadrilateral. For example, connect points A and B, B and C, C and D, and D and A.

4. Check that the sides of the quadrilateral are not intersecting each other. If the sides intersect, then the quadrilateral is not a valid shape.

Learn more on graph of quadrilateral here;

https://brainly.com/question/29257191

#SPJ1

Answer:

I think its SAS

Step-by-step explanation:

AC is equal to CE

and BC is equal to CD

Answer:

sas

Step-by-step explanation:

the two lines on the sides mean that the sides are congruent and where the triangles meat show that the angles are also congruent because the angles are vertical and when the angles are vertical then they are equal to each other so its using side angle side congruency theorem which gives you two sides and one angle and

ASA: ∆ABC and ∆DEF are congruent if angle B is congruent to angle E. SAS: ∆ABC and ∆DEF are congruent if angle A is congruent to angle D and AB=DE.

What is congruent ?

In geometry, congruent refers to the condition where two or more figures have the same size and shape. Congruent figures have the same dimensions, angles, and proportions. Two figures are congruent if they can be superimposed exactly on each.

1) If, C.) Angle B is congruent to angle E then ∆ABC and ∆DEF are congruent by the ASA criterion.

2) If, D.) Angle A is congruent to angle D then ∆ABC and ∆DEF are congruent by the SAS criterion.

3) ∆ABC and ∆DEF are congruent if B.) AB=DE

ASA criterion: If in two triangles, two angles and the included side of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent.

ASA: ∆ABC and ∆DEF are congruent if angle B is congruent to angle E. SAS: ∆ABC and ∆DEF are congruent if angle A is congruent to angle D and AB=DE.

To learn more about congruent visit : brainly.com/question/12413243

#SPJ4

Answer:

12. Option b: 20 is the correct answer.

13. Option a: A rose costs $1 more than a daisy is the correct answer.

Step-by-step explanation:

12. Given that:

15x+10y=700       Eqn 1

x+y=60      Eqn 2

To find x, we will eliminate y be multiplying Eqn 2 by 10

10(x+y=60)

10x+10y=600      Eqn 3

Subtracting Eqn 3 from Eqn 2

(15x+10y)-(10x+10y)=700-600

15x+10y-10x-10y=100

5x=100

Dividing both sides by 5

\(\frac{5x}{5}=\frac{100}{5}\\x=20\)

Hence,

Option b: 20 is the correct answer.

13. Given that:

5x+4y=32     Eqn 1

x+6y=22       Eqn 2

Multiplying Eqn 2 by 5

5(x+6y=22)

5x+30y=110     Eqn 3

Subtracting Eqn 1 from Eqn 3

(5x+30y)-(5x+4y)=110-32

5x+30y-5x+4y=78

26y=78

Dividing both sides by 26

\(\frac{26y}{26}=\frac{78}{26}\\y=3\)

Putting y=3 in Eqn 2

x+6(3)=22

x+18=22

x=22-18

x=4

Hence,

Option a: A rose costs $1 more than a daisy is the correct answer.

The values of a measured at two different heights may or may not be the same, depending on the nature of the thing being measured and the conditions of the measurement.

Why may or may not the values of a measured thing at two different heights be the same?

The value of a measured quantity depends on various factors such as the measurement instrument, the conditions of the measurement, and the nature of the thing being measured. In some cases, the values of a measured thing at different heights may be the same, while in other cases they may differ.

Factors that effect the measurement :
Whether the values of a measured thing at two different heights will be the same depends on the nature of the thing being measured and the conditions of the measurement. For example, if we measure the air pressure at two different heights, we may expect the values to be different, as air pressure decreases with increasing altitude. On the other hand, if we measure the temperature of a room at two different heights, we may expect the values to be approximately the same, as the temperature is usually well-mixed throughout the room.

Similarly, the values of other measured quantities such as sound intensity, light intensity, and humidity may also differ or be the same at different heights, depending on the conditions of the measurement and the nature of the thing being measured. Therefore, it is important to consider these factors when making measurements and interpreting their results.

To know more about height visit :

brainly.com/question/29131380

#SPJ1

Answer:

$13.25

Step-by-step explanation:

Answer:

There are 10 boys and 6 girls in the class

Step-by-step explanation:

The given parameters are;

The number of boys = The number of girls + 4

The number of students in the class = 16

Let x represent the number of girls in the class and let y represent the number of boys in the class

Therefore;

y = x + 4...(1)

x + y = 16...(2)

Making y the subject of equation (2) gives;

y = 16 - x

Equating the values of y from equation (1) and equation (2) gives;

x + 4 = 16 - x

Which gives;

2·x = 16 - 4 = 12

x = 12/2 = 6

x = 6

The number of girls = x = 6

From equation (1), we have;

y = x + 4 = 6 + 4 = 10

y = 10

The number of boys = y = 10.

The correct answer is D. The quadratic function has no real zeros if a > 0 and k>0 or a < 0 and k<0. This is because in the vertex form y=a(x- h2) + k, the value of k determines the vertical shift of the graph, and the value of a determines the direction of the graph. If a>0 and k>0, the graph will be shifted up and open upward, meaning it will not cross the x-axis and therefore have no real zeros.

Similarly, if a<0 and k<0, the graph will be shifted down and open downward, also not crossing the x-axis and having no real zeros.  The vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola. The value of a determines the shape of the parabola: if a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards.

For a quadratic function to have no real zeros, it must not intersect the x-axis. This means that the vertex of the parabola must be above or below the x-axis, depending on the direction of the opening.

Read more about   quadratic here:https://brainly.com/question/1214333

#SPJ11

Answer:

5.97

Step-by-step explanation:

Answer:

5.97

Step-by-step explanation:

5.946 = 5.94

5.97>5.94

Answer:

5/18

Step-by-step explanation:

1. to get to the fractions you need to subtract make them have the same denominator. make 1/2=9/18 and 2/9=4/18

2. 9/18-4/18=5/18

Answer:

5/6 divided by 1/3 = 15/6

Step-by-step explanation:

(5/6)/(1/3) = (5/6)(3/1) = 15/6

Now, (5/6)x(1/3) = 5/18

Answer:

-24

Step-by-step explanation:

Answer:

-24

Step-by-step explanation: