This year Linda watched 60 movies. She thought that 36 of them were very good. Of the movies she watched, what percentage did she rate as very good?

The laps per minute that Tim run when he runs 4 laps around a track in 5 minutes is 0.8 laps.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, Tim runs 4 laps around a track in 5 minutes The laps per minute that he run will be:

= 4 / 5

= 0.8

Learn more about word problem on

brainly.com/question/21405634

#SPJ1

sin(3t) + sin(4t) = 2sin(7t/2)cos(-t/2) is a product of two trigonometric functions of different frequencies.

To write sin(3t) + sin(4t) as a product of two trigonometric functions of different frequencies,

we can use the product-to-sum identity:
sin(a) + sin(b) = 2sin((a+b)/2)cos((a-b)/2)

Applying this identity to sin(3t) + sin(4t), we get:
sin(3t) + sin(4t) = 2sin((3t+4t)/2)cos((3t-4t)/2) = 2sin(7t/2)cos(-t/2)

So, sin(3t) + sin(4t) can be written as a product of two trigonometric functions of different frequencies:
sin(3t) + sin(4t) = 2sin(7t/2)cos(-t/2)

To practice more questions about trigonometric function:

https://brainly.com/question/25618616

#SPJ11

Answer:

Area of the trapezoid is 120

Answer:

(c) is correct.

Step-by-step explanation:

(c) 9 + 2(4) = 9 + 8 = 17

In a multiple regression framework, the R-squared (R^2) increases whenever a regressor is added unless the coefficient on the added regressor is exactly zero.

If the added regressor has a non-zero coefficient, even if it is small, it will contribute to explaining additional variance in the dependent variable and increase the overall fit of the regression model.

However, it is important to note that the R-squared value does not directly indicate the significance or meaningfulness of the added regressor. It only measures the proportion of variance in the dependent variable that is explained by the entire set of regressors in the model. Therefore, an increase in R-squared does not necessarily imply that the added regressor is statistically significant or has a substantial impact on the dependent variable.

The other answer choices provided, "greater than 1.96 in absolute value" and "added unless there is heteroskedasticity," do not accurately describe the conditions for R-squared to increase when a regressor is added in a multiple regression framework.

Learn more about multiple regression here:

brainly.com/question/29657622

#SPJ

Answer:

the answer is -2/7 i hope this helps n srry if it dont help

Step-by-step explanation:

Answer:

a , c , e

Step-by-step explanation:

just took it ;)

The statements about the clock are accurate are;

1.  Note that the face of a clock is divided into 12 equal parts and the Angle of each part is= 30°

If one hand points at 2 and the other points at 4, then it is divided into two parts that is 2 to 3 and 3 to 4.

The angle that will be formed then will be = 2 (30) = 60°

So therefore option one is correct

111. When a person place one hand at 5 and the other hand at 10, then it is divided into 5 parts.

The angle that is formed= 30(5) = 150°.

Therefore, the arc length =(37.68) = 15.7.

So therefore, Option three is correct.

V.  When the length of the minor arc ranges from 11 to 2, then this is divided is 3 parts.

So therefore, 3(30) = 90°  

The minor arc is said to ranges from 7 to 10 and it is represented by  3(30) = 90°  

So therefore option five is correct.

Learn more arc  about

https://brainly.com/question/2005046

n = 37, and tenth term = 18

Given progression,

36, 34, 32, ...

The sum of the first n terms is 0

First term(a1) = 36

The common difference (d)= 34-36 = -2,

The formula of the sum of the first n term is,

\(Sn = \frac{n}{2} [2a_{1} + (n - 1)d]\)

substitue the values Sn= 0, a1= 36, d= -2 in the above equation to find n

\(0\)= \(\frac{n}{2} [2(36) + (n-1) (-2)]\)

\(0 = \frac{n}{2}[72- 2n+ 2]\)

\(0 = \frac{n}{2}[74 - 2n]\)

\(74 - 2n = 0\)

\(2n = 74\)

\(n = \frac{74}{2}\)

\(n = 37\)

n = 37

The formula for finding the nth term(10th term):

\(a_{n} = a1 + (n - 1)d\)

n = 10, a1 = 36, d = -2

\(a_{10} = 36 + (10-1)(-2)\)

\(a_{10} = 36 + 9(-2)\)

\(a_{10} = 36 - 18\)

\(a_{10} = 18\)

\(a_{10}\) = 18

To solve more problems on progression:

https://brainly.com/question/6561461

Point slope form:

y-y1 = m (x-x1)

where;

m= slope = -3

(x1,y1) points of the line. (12,5)

Replacing:

y-5 = -3 (x-12)

Answer:

692.7cm²

Step-by-step explanation:

A = πr²/2 = 220.5 * π [cm²] ≈ 692.72 [cm²]

The term containing x² in the expansion of (-4x + 4y)⁵ is 10240x²y³.

We need to use the Binomial Theorem to find the term containing x² in the expansion (-4x + 4y)⁵.

Here's how we can do it:Step-by-step explanation:

Using the binomial theorem, we know that the term containing x² in the expansion of (-4x + 4y)⁵ is:\($$\binom{5}{k} (-4x)^{5-k} (4y)^k$$\)where k is the index of the term we want.

To find the value of k, we need to set the exponent of x in the above expression to 2, i.e. 5 - k = 2, which gives us k = 3.

Substituting this value of k in the above expression, we get\(:$$\binom{5}{3} (-4x)^2 (4y)^3$$$$= 10 \cdot 16x^2 \cdot 64y^3$$$$= \boxed{10240x^2y^3}$$.\)

Therefore, the answer is: The term containing x² in the expansion of (-4x + 4y)⁵ is 10240x²y³.Note:

In conclusion, we used the binomial theorem to find the term containing x² in the expansion of (-4x + 4y)⁵.

We determined that the term was 10240x²y³.

To know more about Binomial Theorem visit:

brainly.com/question/30095070

#SPJ11

The measure of DE is 8x. This was found by using the distance formula to calculate the length of the side.

Measurements are the process of comparing an unknown quantity to a known reference value in order to estimate the size, quantity, distance, weight, or other characteristics of that unknown quantity. Measurements are used in science and engineering to quantify the properties of objects, or to compare objects to each other. Measurements are also used in everyday life to help make decisions and assess the impact of changes.

To find the measure of DE, we must first calculate the length of the side. We can do this by using the distance formula. The distance formula is used to calculate the length of a line between two points in a plane. The formula is given as d = √(x2 - x1)2 + (y2 - y1)2.

For the side DE, we can use the coordinates (2x+7, 4(x-3)). The first point is (2x+7, 4(x-3)) and the second point is (2x+7, 4(x+3)). We can substitute these points into the distance formula to calculate the length of DE.

The formula becomes d = √[(2x+7 - 2x+7)2 + (4(x+3) - 4(x-3))2]

Simplifying, we get d = √[(0)2 + (8x)2]

d = √[64x2]
d = 8x

Therefore, the measure of DE is 8x.

To know more about measurements click-
https://brainly.com/question/28835783
#SPJ1

Answer:

\(x = \frac{53}{8} \)

alternative form:

\(x = 6 \frac{5}{8} \: or \: x = 6.625\)

Step-by-step explanation:

\( \frac{7}{2} x + \frac{1}{2} x = 22 + \frac{9}{2} \\ add \: \frac{7}{2}x \: to \: \frac{1}{2} x \\ \\ 4x = 22 + \frac{9}{2} \\ add \: 22 \: to \: \frac{9}{2} \\ \\ 4x = \frac{53}{2} \\ divide \: both \: sides \: by \: 4 \: \\ \\ x= \frac{53}{8} \)

According to the statement the distance from the plane to the top of the larger sphere is 3 + 2 = 5 units.

The distance from the plane to the top of the larger sphere can be found by considering the arrangement of the spheres.

We have three smaller spheres of radius 1 that are mutually tangent to each other and the plane.

On top of them, there is a larger sphere of radius 2.
Let's denote the distance from the plane to the center of the larger sphere as h.

Since the spheres are tangent to each other, the distance from the plane to the top of the larger sphere will be equal to the sum of the radii of the smaller spheres (3 x 1 = 3) plus the radius of the larger sphere (2).
Therefore, the distance from the plane to the top of the larger sphere is 3 + 2 = 5 units.

To know more about tangent visit :

https://brainly.com/question/10053881

#SPJ11

Answer:

percent of students who have pet = 4/5 × 100%

= 4×20%

So, percent of students who have pet is 80%.

Answer:

domain can be from 0 to 20

Step-by-step explanation:

if she doesn't swim, it will be 0 but she can swim up to 20 minutes which will be our x value and our max domain value

The probability of obtaining a sample proportion greater than 0.6, assuming the true proportion is exactly half, is approximately 0. Z = 3

To find the probability that an SRS of 225 college graduates will give a sample proportion greater than 0.6, we can use the normal approximation to the binomial distribution.

Given that the true proportion is exactly half (0.5), we can assume a binomial distribution with n = 225 (sample size) and p = 0.5 (true proportion). The sample proportion, denoted as p-hat, follows a normal distribution with mean p and standard deviation sqrt((p(1-p))/n).

First, we calculate the mean of the sample proportion:

mean = p = 0.5

Next, we calculate the standard deviation of the sample proportion:

standard deviation = sqrt((p(1-p))/n) = sqrt((0.5(1-0.5))/225) = sqrt(0.25/225) = sqrt(0.001111) ≈ 0.033333

To find the probability that the sample proportion is greater than 0.6, we need to find the area under the normal distribution curve to the right of 0.6.

Z = (x - mean) / standard deviation

Z = (0.6 - 0.5) / 0.033333 ≈ 3

Using a standard normal distribution table or a calculator, we find that the area to the right of Z = 3 is very close to 0.

This result suggests that it is highly unlikely to obtain a sample proportion greater than 0.6 if the true proportion is exactly half. It is important to note that this conclusion relies on the assumption that the population proportion is exactly 0.5 and that the conditions for using the normal approximation are satisfied (e.g., random sampling, independence, and a sufficiently large sample size).

Learn more about probability at: brainly.com/question/31828911

#SPJ11

The volume of the region in the first octant cut from the solid sphere \(\leq 5\) by the half-planes = 6 and = 3 is 11.67 cubic units.

To find the volume of the region in the first octant, we need to consider the intersection of the solid sphere and the two half-planes. The equation of the solid sphere is\(x^2 + y^2 + z^2 \leq 5\). The first half-plane, x = 6, intersects the sphere outside of the first octant and does not contribute to the volume. The second half-plane, y = 3, intersects the sphere in the first octant. We need to find the volume of the portion of the sphere that lies within the first octant and below the plane y = 3.

The intersection of the sphere and the plane y = 3 forms a circular disk. The radius of this disk can be found by substituting y = 3 into the equation of the sphere: \(x^2 + 9 + z^2 = 5\). Simplifying this equation, we get \(x^2 + z^2 = -4\), which indicates that there is no intersection. Therefore, the region in the first octant cut from the solid sphere \(\leq 5\) by the half-planes = 6 and = 3 is empty, and its volume is zero.

Learn more about Volume

brainly.com/question/13338592

#SPJ11

The given equation is incorrect as the dimensions of the left-hand and right-hand sides do not match.

The statement "If an equation is correct, the left and the right side of the equation MUST have the SAME dimension. If not, the equation must be wrong!" is true.

An equation with the same dimension is consistent and any equation that is inconsistent is considered wrong. Below are the solutions of the given examples:

The equation given below is dimensionally correct. This means that the units of the left and right-hand side of the equation are the same.s = vt + 0.5 at²Thus, the given equation is dimensionally correct.

Let's analyze the given equation to see if it is dimensionally correct or not.v = sin(at²/s)

By analyzing the equation above, we can determine the dimensions of each term to see if the units match or not. Dimensions of sin() = dimensionlessDimensions of at²/s = LT²/T = LT

Therefore, the given equation is not dimensionally correct because the left-hand side of the equation is dimensionless (unitless) while the right-hand side of the equation has units of LT. Therefore, the given equation is incorrect as the dimensions of the left-hand and right-hand sides do not match.

Let us know more about equations : https://brainly.com/question/14686792.

#SPJ11

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

To know more about point , visit:

https://brainly.com/question/26310043

#SPJ1

Answer:

A=50

B=79

C=51

a=7.88572

b=10.10495

c=8

Step-by-step explanation:

b/sin(B) = a/sin(A) = c/sin(C)

b/sin(79) = 8/sin(51)

b = 10.10495

a/sin(50) = 8/sin(51)

a=7.88572

The value of a by using Sine law is 7.88572.

We have,

A=50, B=79 and C=51

Using Sine law we can write

b/sin(B) = a/sin(A) = c/sin(C)

b/sin(79) = 8/sin(51)

b = 10.10495

Again, a/sin(50) = 8/sin(51)

a=7.88572

Thus, the value of a is 7.88572.

Learn more about Sine law here:

https://brainly.com/question/17289163

#SPJ2

The system I am evaluating is the performance management system at my current company. I believe that 12 of the 15 characteristics of an ideal system are present in this system. The two characteristics that are not present at all, or barely present, are:

An ideal system refers to a theoretical or conceptual model that represents a perfect or idealized version of a system.

The one characteristic that is clearly present in my company's performance management system is specificity: The performance goals and objectives are very specific, which makes it easy for employees to understand what is expected of them.

The characteristic in my company's performance management system that is furthest from the ideal is openness. To improve alignment between the system and the ideal, I would recommend that the company make the performance management process more open and transparent.

The responsibility for making the performance management system more open would fall to the human resources department. They would need to work with managers and employees to develop a more open and transparent process.

Learn more about  characteristic on https://brainly.com/question/9089686

#SPJ4

The probability that the randomly selected woman does not have a college degree is approximately 0.416

To find the probability that the randomly selected woman does not have a college degree, we can use conditional probability. Let's calculate it step by step:

1. Calculate the probability of selecting a woman:

  P(Woman) = (Number of women) / (Total number of employees)

           = (Number of employees without college degrees * Percentage of women without college degrees) / (Total number of employees)

           = (640 * 0.75) / 865

           ≈ 0.554

2. Calculate the probability of selecting a woman without a college degree:

  P(Woman without College Degree) = P(Woman) * Percentage of women without college degrees

                                 = 0.554 * 0.75

                                 ≈ 0.416

Learn more about probability here:

https://brainly.com/question/24756209

#SPJ4

Answer:

\(y = -2x+4\)

Step-by-step explanation:

Linear equations can be written in the form \(y=mx+b\) where \(m\) is the gradient/slope and \(b\) is the y-intercept of the line.

With the given slope and y-intercept, the linear equation of the line can be written as \(y=-2x+4\).

Sandra should expect the walk to the park to take about 35 minutes.

We can use the formula:

time = distance / rate

where "distance" is the distance Sandra will walk and "rate" is her walking rate in miles per minute.

First, we need to find her rate. We know that she walks 1.6 miles in 18 minutes:

rate = distance / time

rate = 1.6 miles / 18 minutes

rate = 0.0889 miles/minute

Now we can use this rate to find out how long it will take her to walk 3.1 miles:

time = distance / rate

time = 3.1 miles / 0.0889 miles/minute

time = 34.9159 minutes

Rounding this to the nearest minute, we get:

time ≈ 35 minutes

Therefore, Sandra should expect the walk to the park to take about 35 minutes.

for such more question on distance

https://brainly.com/question/12356021

#SPJ11

1. Elizabeth's statement is incorrect because not only values less than 36, but also values equal to or greater than 36 make the inequality true.

2. All values of x less than 7 make the inequality true.

In mathematics, inequality is a relationship or a statement that compares two numbers or expressions that are not equal. It is expressed by symbols such as, >,,, or, which indicate which value is lower, greater, or simply different.

1. Elizabeth's statement is incorrect because not only values less than 36, but also values equal to or greater than 36 make the inequality true. For example, when x is 35, 6x is 210, which is not less than 42. On the other hand, when x is 36, 6x is 216, which is greater than 42, but when x is any value greater than 6, 6x will still be greater than 42.

2. In words, all values of x that make the inequality true are x such that 6 times x is less than 42. We can simplify this inequality by dividing both sides by 6 to get:

x < 7

Therefore, all values of x less than 7 make the inequality true.

Learn more about inequality on:

https://brainly.com/question/17448505

#SPJ1

1. Alternate angle

2. Alternate exterior angle

3. Corresponding angle

4. Vertical angle

5. Consecutive angle

6. Alternate exterior angle

7. x = 110°

8. x = 70°

9. x = 60°

10. x = 130°

11. x = 53°

12. x = 60°

13. x = 30°

14. x = 65°

15. x = 24°

16. x = 174°

hope this helps....