Ling likes to listen to different types of music. One afternoon, she listened to 4 rap and 12 country songs. How can you describe the relationship between rap and country songs? Check all that apply.
1. For every 12 rap songs Ling listened to, she listened to 4 country songs.
2. For every rap song Ling listened to, she listened to 3 country songs.
3. Ling listened to 3 times as many country songs as rap songs.
4. Ling listened to a ratio of 4 rap songs to 12 country songs.

Answer:

55.8292 cm

Step-by-step explanation:

Circumference is diameter x pi.

7 x 3.14 = 21.98 inches

21.98 x 2.54 = 55.8292 cm

Hello!

\(\boxed{ \bf The~fraction~is~5/100~or~1/20~when~reduced.}\)

There are 100 centimetres in a metre. So, our denominator will be 100.

The numerator is 5 because that is the number of centimetres.

⇒ \(\frac{5}{100}\)

This fraction can be reduced, since 5 goes into the denominator evenly.

5 ÷ 5 = 1

100 ÷ 5 = 20

So, our reduced fraction is \(\frac{1}{20}\)

Answer:

66.67% is the answer I am bored

The weight that separates the bottom 5% is approximately 5.02 ounces.

To find the weights that separate the top 5% and the bottom 5%, we need to use the z-score formula and the standard normal distribution table.

First, let's find the z-score for the top 5%. Using the standard normal distribution table, we find that the z-score for the top 5% is approximately 1.645.

Next, we can use the formula z = (x - μ) / σ, where z is the z-score, x is the weight we're trying to find, μ is the mean, and σ is the standard deviation.

For the top 5%, we have:

1.645 = (x - 5.12) / 0.07

Solving for x, we get:

x = 5.12 + 1.645 * 0.07

x ≈ 5.22 ounces

Therefore, the weight that separates the top 5% is approximately 5.22 ounces.

To find the weight that separates the bottom 5%, we use the same process but with a negative z-score. The z-score for the bottom 5% is approximately -1.645.

-1.645 = (x - 5.12) / 0.07

Solving for x, we get:

x = 5.12 - 1.645 * 0.07

x ≈ 5.02 ounces

Therefore, the weight that separates the bottom 5% is approximately 5.02 ounces.

These weights could serve as limits used to identify which components should be rejected. Any component with a weight less than 5.02 ounces or greater than 5.22 ounces should be rejected.

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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)

c.)

When a coin is tossed, there is a probability of 1/2 getting a tail.

The word INDIANAPOLIS has 12 letters in total, with 2 Ns. This gives us a probability of 2/12.

Therefore:

d.) P(heads, then D or I)

When a coin is tossed, there is a probability of 1/2 getting a heads).

There would be a probability of 5/12 when getting a D or an I.

Therefore:

Answer:

Step-by-step explanation: A. One unique triangle because the three angles add up to 180 degrees

42+42+96=180

Using the Binomial probability distribution,

the probability that sheer guesswork will yield exactly 18 correct answers is ²⁷C₁₈(0.2)¹⁸(0.8)⁹

We have given that,

total number of multiple choice questions= 27

each question has number of possible answer

= 5

but only one is correct .

we have to find out the probability that sheer guesswork will yield 18 correct answer.

P(C) = probability of answering any question correctly = (1 / 5) = 0.2

P(W) = probability of answering any question wrongly = (4/ 5) = 0.8

Using the Binomial probability distribution,

P(X= x) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

Probability of answering exactly 18 questions correctly = P(X=18) = ²⁷C₁₈(0.2)²⁸(0.8)⁹

Hence, the probability value is ²⁷C₁₈(0.2)²⁸(0.8)⁹

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2/5 ÷ 3/4 = 8/15

9/4 ÷ 3/4 = 3

-5/7 ÷ 1/3 = -15/7

-5/3 ÷ 1/6 = -10

The size of the magnification of a single convex mirror can be either greater than one or less than one, depending on the position of the object relative to the mirror.

For a convex mirror, the image formed is always virtual and smaller than the object. The magnification is defined as the ratio of the height of the image to the height of the object. Since the image formed by a convex mirror is always smaller than the object, the magnification is always less than one. In fact, the magnification is inversely proportional to the distance of the object from the mirror. As the distance of the object from the mirror increases, the size of the image decreases, and the magnification decreases accordingly. Conversely, if the object is brought closer to the mirror, the size of the image increases and the magnification increases. So, a convex mirror always forms a virtual, diminished image.

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cos^2(x) - cos^4(x)

sin^2 (x) cos^2 (x) can be written as sin^2 (x) cos^2 (x) = (1-cos^2(x)) cos^2(x)Expanding (1-cos^2(x)) cos^2(x) gives - cos^4(x) + cos^2(x)Therefore, sin^2 (x) cos^2 (x) in expanded form, with no powers, parentheses or products is cos^2(x) - cos^4(x).

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Answer:

value of a is 14

Step-by-step explanation:

Answer:

what where's the question

Answer:    y=1x+6

Step-by-step explanation:

The equation of a line is y=mx+c

m is the gradient and c is the y intercept.

on the graph the line intercepts the y axis at 6- the y intercept!

The gradient is the difference in y divide by the difference in x.

(0,6) and (4,10)

10-6=4

4-0=

4

4/4 is 1! so the equation is

y=1x+6

Answer:

y = x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 10) ← 2 points on the line

m = \(\frac{10-6}{4-0}\) = \(\frac{4}{4}\) = 1

the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = x + 6 ← equation of line

=Answer:   x+2

Step-by-step explanation:

Answer:

Center- (-13, -6)

Radius = 12 units

Step-by-step explanation:

The radius is gotten by first taking the distance between the point using the distance formula

D = √(-11+1)²+(-25+1)²

D = √(-10)²+(-24)²

D = √100 + 576

D = √676

D = 26

This gives the diameter of the circle

Radius = diameter/2

radius = 26/2

Radius = 12

The center of the circle is the midpoint of the coordinate

X = x1+x2/2 and Y = y1+y2/2

X = -1 - 25/2

X = -26/2

X = -13

Y = -1 - 11/2

Y = -12/2

Y  = -6

Hence the center is at (-13, -6)

its function, there your answer

Answer:

Step-by-step explanation:

There must be only one arrow from each member of the set X

Answer: 15

Step-by-step explanation: Easy way to do it is of you just list all the factors and find the highest common factor, 15= 1,3,5,15. 60= 1,2,3,4,5,6,10,12,15,30,60.

The common factors here are 3 and 15 the highest common factor is 15.

Now another method is to draw the division diagrams which are shown in the image below...

Answer:

Step-by-step explanation:

HCF of two or more numbers is the largest number that divides the number without leaving remainder.

Prime factorize 15 and 60

15 = 3 * 5

60 = 2 * 2 * 3 * 5

HCF = 3 * 5 = 15

The value of b in the triangle is 10.6 units.

A triangle is a a polygon with three sides. Therefore, the sides of the triangle can be found using the sine law.

Hence,

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

Therefore,

b / sin 27° = 15 / sin 40

cross multiply

b sin 40 = 15 sin 27

divide both sides by sin 40°

b = 15 sin 27 / sin 40

b = 15 × 0.45399049974 / 0.64278760968

b = 6.795 / 6.795

b = 10.5841121495

Therefore,

b = 10.6 units

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A real-world situation consistent with the data provided would be (a) the height of a balloon as it ascends in the air at a constant rate, (b) the speed of a car as it accelerates from a standstill to a constant speed, (c) the height of a soccer ball as it is kicked into the air (d) the velocity of a skydiver as they fall to the ground.

a. A real-world situation consistent with the data provided would be the height of a balloon as it ascends in the air at a constant rate. In this case, x can be the time elapsed in seconds, and y can be the height in meters.

The balloon's height will not change with time (f'(x) = 0), meaning the balloon is not accelerating, and the height remains constant as it moves from 0 to 3 seconds.

b. A real-world situation consistent with the data provided would be the speed of a car as it accelerates from a standstill to a constant speed. In this case, x can be the time elapsed in seconds, and y can be the speed in meters per second.

The speed of the car will increase at a constant rate (f'(x) = 50), meaning the car is accelerating, and the speed increases as it moves from 0 to 3 seconds.

c. A real-world situation consistent with the data provided would be the height of a soccer ball as it is kicked into the air. In this case, x can be the time elapsed in seconds, and y can be the height in meters.

The height of the ball will increase as time goes by (f'(x) is increasing as x increases), meaning the ball is moving upwards, and the height increases as it moves from 0 to 3 seconds.

d. A real-world situation consistent with the data provided would be the velocity of a skydiver as they fall to the ground. In this case, x can be the time elapsed in seconds, and y can be the velocity in meters per second.

The velocity of the skydiver will decrease as time goes by (f'(x) is decreasing as x increases), meaning the skydiver is falling faster and faster, and the velocity decreases as it moves from 0 to 3 seconds.

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--The given question is incomplete; the complete question is

"Describe different real-world situations (include the units of x and y) that would be consistent with the data provided:

a. f'(x)=0, 0 ≤ x ≤ 3

b. f'(x) = 50, 0 ≤ x ≤ 3

C. f'(x) is increasing as x increases, 0 ≤ x ≤ 3

d. f'(x) is decreasing as x increases, 0 ≤ x ≤ 3"--

To determine whether the set S is linearly independent or linearly dependent.The set is linearly independent. This is because the only way to make a linear combination of vectors equal to the zero vector is to have all the coefficients equal to zero.

A linear combination of vectors is the sum of a scalar multiple of each vector in the set. We must check if the equation a(-2,2,4) + b(1,9,-2) + c(2,3,-3) = (0,0,0) has only the trivial solution, i.e., a=b=c=0. This gives us the system of equations,-2a + b + 2c = 01a + 9b + 3c = 02a - 2b - 3c = 0We can solve the system of equations by using Gauss-Jordan elimination. The augmented matrix for the system is:[-2 1 2 0][1 9 3 0][2 -2 -3 0]Let's use elementary row operations to simplify the matrix.

We can swap the first and second rows since the first element in the second row is 1.[1 9 3 0][-2 1 2 0][2 -2 -3 0]We can then add twice the first row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][-2 1 2 0][0 16 3 0]We can then add nine times the first row to the second row to eliminate the leading coefficient in the second row.[1 9 3 0][0 17 15 0][0 16 3 0]We can then add -16/17 times the second row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][0 17 15 0][0 0 -117/17 0]We see that the only solution is a=0, b=0, and c=0. Therefore, the set S is linearly independent.

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Answer:

21

Step-by-step explanation:

One number is 3 times another

x and 3x

difference between the numbers is 14,

3x - x = 14

simplify

2x = 14

Divide both sides by 2

x = 7

3x = 21

Answer:

The larger number is 21.

Step-by-step explanation:

let, the smaller number be x.

the larger number be 3*x =3x.

Now,

3x-x=14

or, 2x=14

or, x=14/2

x=7

here,

3x=3*x=3*7=21

Answer:

2800

Step-by-step explanation:

The dress's price increased by a factor of 9/7 so to undo this you flip the numbers around to get 7/9 and multiply the new price by this to get the original price.

Step-by-step explanation:

option A

hope it helps

thank you

The isosceles triangle theorem in math states that in an isosceles triangle, the angles opposite to the equal sides are also equal in measurement. The correct option is A.

A triangle which has two sides of same measurement and the third side with a different measurement is defined as the isosceles triangle. The isosceles triangle are one of the important triangles which is used in Maths.

The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite to the congruent sides are also congruent. The converse isosceles triangle theorem is the opposite of the opposite of the isosceles triangle theorem.

The converse isosceles triangle theorem states that if angles opposite opposite to those sides are congruent, then two sides of a triangle are congruent.

Thus the correct option is A.

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13.35% percent of students scored below Shireen.

A percentage is a quantity or ratio that is expressed as a fraction of 100. The percentage sign "%" is used to denote it. The percentage is denoted by the abbreviations "pct" or "pc". In other words, the percentage is measured in terms of 100 and is defined as the amount of one quantity that is made up of another. The % is a flat number. They are dimensionless numbers, in other words. When we say a number is 60% of another, we mean that it is 60% of the whole.

Given,

z score = -1.11

Mean = 75

Standard deviation = 5

P( z < -1.11) = 0.1335

In percentage,

P(z < -1.11) = 0.1335 × 100%

P(z < -1.11) = 13.35%

13.35% percent of students scored below Shireen.

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The probability of experiencing only nausea is 0.10 or 10%.

What is the probability?

In probability theory, the probability of an event is a number between 0 and 1, inclusive, that represents the likelihood of the event occurring. A probability of 0 means that the event is impossible, while a probability of 1 means that the event is certain to occur.

Let's use a Venn diagram to represent the probabilities of experiencing nausea (N) and decreased sexual drive (D):

From the information given, we know that:

P(N) = 0.24 (the probability of experiencing nausea)

P(D) = 0.49 (the probability of experiencing decreased sexual drive)

P(ND) = 0.14 (the probability of experiencing both nausea and decreased sexual drive)

To find the probability of experiencing only nausea (not decreased sexual drive), we need to subtract the probability of experiencing both from the probability of experiencing nausea:

P(N only) = P(N) - P(ND)

P(N only) = 0.24 - 0.14

P(N only) = 0.10

Hence, the probability of experiencing only nausea is 0.10 or 10%.

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P-value = 0.0384

As P-value < 0.05, reject the null hypothesis.

A statistic (a number obtained from the sample) used in statistical hypothesis testing is known as a test statistic. Usually, a hypothesis test is described in words.

A test statistic is a figure obtained from a statistical analysis. It explains how distant your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

The alternative and null hypotheses are listed below.

Lack of hypothesis H0: μ = 13

Ha: 13 Alternative Hypothesis

Statistical test, z = (xbar - mu)/(sigma/sqrt(n))

z = (11 - 13)/(8/sqrt(50))

z = -1.77

Region of Rejection

For α= 0.05, this is a left-tailed test.

Z has a critical value of -1.645.

Therefore, if z -1.645, reject H0 and accept the null hypothesis.

P-value Approach

P-value = 0.0384

As P-value < 0.05, reject the null hypothesis

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There were approximately 304,657,600 Americans in July 2009. The correct answer is 304,657,600.  In July 2009, the estimated population of the United States would be 304,657,600 people. To calculate this, we need to take the 2008 population of 302,000,000 and multiply it by the growth rate of 0.88%.

First, we need to find the amount of growth that occurred between 2008 and 2009. We can do this by multiplying the 2008 population by the growth rate:

302,000,000 x 0.88% = 2,657,600

This tells us that the population increased by 2,657,600 people from 2008 to 2009. To find the total population in 2009, we need to add this growth to the 2008 population:

302,000,000 + 2,657,600 = 304,657,600

Therefore, in July 2009, the estimated population of the United States would be 304,657,600 people, based on a growth rate of 0.88%.

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To run this code, you need a C compiler installed on your machine. You can copy the code into a file with a ".c" extension (e.g., "logarithm.c"), compile it, and then execute the compiled program. Make sure to capture a screenshot of both the code and the output screen.

Here's the C programming code to calculate the logarithm base 10 of a decimal number:

```c

#include <stdio.h>

#include <math.h>

int main() {

   double number, result;

       printf("Enter a number: ");

   scanf("%lf", &number);

       result = log10(number);

       printf("Logarithm base 10 of %.3lf: %.4lf\n", number, result);

       return 0;

}

```

To run this code, you need a C compiler installed on your machine. You can copy the code into a file with a ".c" extension (e.g., "logarithm.c"), compile it, and then execute the compiled program. Make sure to capture a screenshot of both the code and the output screen.

Please note that I am unable to directly receive or view any files you upload. If you have any questions or need further assistance while running the code, feel free to ask.

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