Which statements are true? Check all that apply.
A random group of high school and college students
were asked if they study with or without listening to
music. The frequency table below shows the results of
the poll.
The table shows conditional relative frequencies by
column
The table shows conditional relative frequencies by
row.
Music
No Music
Total
High
School
68
65
133
The conditional relative frequency that someone is
in high school, given that the person prefers to
study without music, is about 0.56.
If someone prefers to study with music, the
probability the person is in college is about 63%
If someone prefers to study with music, the
probability the person is in HS is about 44%.
College
85
51
136
Total
153
116
269
Intro
Done

hi, I'm no bot just in case...

the grapgh of the line shows y intercept of -9 and rate of change by 4

SoThe equation of the lline will be: \(y=4x-9\)

Answer:

Answer:

you do 124+18 which is 142

and then you do 180 -142 because a triangle adds to 180

this equals 38

After this you then do 180-34 because angles on a straight line equal 180

this gives you the answer of 142

Step-by-step explanation:

decrease by 20%

xxxxxxxx

Answer:

m = 4

Step-by-step explanation:

m−10+6m=10+2m

7m-10=10+2m

Subtract 2m from both sides

5m-10=10

Add 10 to both sides

5m=20

Divide both sides by 5

m=4

Answer:

m=4

Step-by-step explanation:

m − 10 + 6m = 10 + 2m

7m - 10 = 10 + 2m   (subtract 2m from both sides)

7m - 10 - 2m = 10

5m - 10 = 10   (add 10 to both sides)

5m = 10 + 10

5m = 20  (divide both sides by 5)

m = 20/5

m = 4

Answer: C. 00:00 $927; Vince wrote the wrong number to represent the interest rate.

Step-by-step explanation:

Given that:

Amount borrowed (p) = 900

Simple interest (r) = 1.5% = 0.015

Time (t) = 2 years

Amount he'll pay back (A) :

A = P(1 + rt)

A = 900(1 + 0.015(2))

A = 900(1 + 0.03)

A = 900(1.03)

A = $927

The necessary assumptions are to get the sample for random sampling and ensure they are normal.

b. The standard deviation is known hence we have to make use of the z distribution.

42.08 - 40 / (3.39 /√26)

= 2.08 / 0.6648

= 3.129

≈3.13

p value

p(Z > 3.13)

= 0.0008770

8.7e-4

d. Z critical value = 2.81

42.08 +- 2.81 * 3.39/√26

= 42.08 +- 2.81*0.6648

=  42.08 - 1.868, 42.08 + 1.868

= 40.212  ,43.948

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The function g(x) that satisfies the given PDF of Y is g(x) = Y = 3x².

To find the function g(x), we need to use the transformation method. We know that Y = g(X), so we can use the following formula:

fY(y) = fX(x) * |dx/dy|

where fX(x) is the PDF of X, and |dx/dy| is the absolute value of the derivative of g(x) with respect to y.

In this case, X is a uniform random variable with parameters 0 and 1, so its PDF is:

fX(x) = 1 for 0 <= x <= 1, 0 otherwise.

Now we need to find g(x) such that fY(y) = 3y² for 0 <= y <= 1, 0 otherwise. Let's set g(x) = Y = 3x².

Then, we can find the derivative of g(x) with respect to y:

dy/dx = 6x

|dx/dy| = 1/|dy/dx| = 1/6x

Now we can substitute fX(x) and |dx/dy| into the formula:

fY(y) = fX(x) * |dx/dy|
fY(y) = 1 * 1/6x
fY(y) = 1/6(√y)

We can see that this matches the desired PDF of Y, which is 3y² for 0 <= y <= 1, 0 otherwise.

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Your instrument's pads, finish, springs, and other metal components can all be damaged if you let dirt, moisture, and other debris build up inside of it. It can also corrode strings and other metal components. These faults might cause expensive long-term consequences and are not easily fixed.

Clean the body, head stock, tuners, and fret board using a damp cloth dipped in vinegar, making careful to follow up with a dry towel. Keep in mind that too much moisture ruins wooden instruments. To keep your case odor-free, wait 30 minutes before storing it.

Due to the fact that these solutions often offer the best material compatibility profile and effective filth removal, neutral or detergent solutions with a pH close to neutral are frequently employed for instrument cleaning. Sometimes neutral pH solutions with proteases added to them help remove organic debris.

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Answer:

2/3

Step-by-step explanation:

that the ratio of that number

By using function notation, you should write an equation or expression for each statement as follows;

The temperature at 12 p.m ⇒ f(12).

The temperature was the same at 9 a.m. and at 4 p.m ⇒ f(9) = f(16).

It was warmer at 9 a.m. than at 6 a.m ⇒ f(9) > f(6).

Some time after midnight, the temperature was 24 degrees Celsius. ⇒ f(t) = 24.

In Mathematics, a function simply refers to a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.

This ultimately implies that, a function typically shows the relationship between input values (x-values or domain) and output values (y-values or range) of a data set, as well as showing how the elements in a table are uniquely paired (mapped).

For the statement, "The temperature was the same at 9 a.m. and at 4 p.m." we have:

4 p.m = 12 + 4 = 16

In function notation, we have:

f(9) = f(16) or f(16) = f(9)

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If all the available assembly and testing time is used, we can assemble and test 10 of the second-type carburetors.

Let's let x be the number of the first type carburetors and y be the number of the second type carburetors.

To minimize calculation, let's focus on just one of the constraints, say the assembly time constraint. We can write: \(11x + 15y ≤ 372\)

Dividing everything by 3: (note: dividing by 3 preserves the inequality

\()4x + 5y ≤ 124\)

Rewriting this as:

\(y ≤ (-4/5)x + 24.8\)

Notice that this is the equation of a line with slope -4/5 and y-intercept 24.8.

The graph looks like this: Graph of\(y ≤ (-4/5)x + 24\).

We can see from the graph that y ≤ (-4/5)x + 24.8 is satisfied for any point under the line.

For example, \((x,y) = (20, 4)\)satisfies the inequality, but \((x,y) = (20,5)\) does not.

Now we turn our attention to the testing time constraint:2x + 9y ≤ 169

Dividing everything by 1: (note: dividing by 1 preserves the inequality)2x + 9y ≤ 169Rewriting this as

\(y ≤ (-2/9)x + 18.8\)

Notice that this is the equation of a line with slope -2/9 and y-intercept 18.8.

The graph looks like this:

Graph of \(y ≤ (-2/9)x + 18\).8

We can see from the graph that \(y ≤ (-2/9)x + 18.8\) is satisfied for any point under the line.

For example,\((x,y) = (20, 2)\) satisfies the inequality, but\((x,y) = (20,3)\)does not.

Now we need to find the point on both lines that maximizes the number of second-type carburetors y.

This point will lie on the intersection of the two lines:\(y = (-4/5)x + 24.8y = (-2/9)x + 18\).

Solving this system of equations, we get:x = 112/11 and y = 4/11Rounded down to the nearest integer, we get:x = 10 and y = 0

Therefore, if all the available assembly and testing time is used, we can assemble and test 10 of the second-type carburetors.

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Answer:

x = 7.45 & -8.45

Step-by-step explanation:

x^2+x−63=0

You can either solve this through the quadratic formula or by completing the square.

See the attached image on how to solve using the quadratic formula:

Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.

For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.

Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.

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Yes, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.

The LD50 is a Lethal dose and 50 represents 50 percent of the test animal's population, that is it will be lethal to half of the tested animals. The amount of a toxic agent (such as a poison, virus, or radiation) that is powered to wipe 50 percent of a population of animals on which it is tested.

Therefore, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.

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Answer:

1 1/2

Step-by-step explanation:

3/4*2=

3   2     6         1

-- *--  = ---- = 1 ----

4   1      4         2

Answer:

The correct answare would be 3.54 x 10^22 N  

Answer:

6

Step-by-step explanation:

7x + 10 = 9x - 2

7x - 9x = -2 - 10

-2x = -12

-2x/-2 = -12/-2

x = 6

The area of the region enclosed by the curves: Y = 3X and Y = 6X² is

1/8 sq. unit.

Linear equation are those in which power is 1 or maximum degree is 1. For example: x + y = 3 here the maximum degree is 1.

Quadratics equation are those in which power is 2 or maximum degree is 2. For example: X² + 6X + 3 = 0. here the maximum degree is 2.

Here, we have given two equation:

Y = 3X

Y = 6X²

To find the limit we will equate the both equation:

3X = 6X²

6X² - 3X = 0

3X ( 2X - 1 ) = 0

here we get two values of X, X = 0 and X = 1/2

so, Lower limit = 0 and Upper limit = 1/2.

Area = \(\int\limits^ \frac{1}{2} _0 {(3x - 6x^{2} ) } \, dx\)

Area = ( 3/2 ( x ⁸ )  - 2 ( x³ ) )          --- Limit from: 0 to 1/2

Area = (3/2 ( 1/2 ² ) - 2 ( 1/2 ³) ) - ( 3/2 ( 0² ) - 2 ( 0³) )

Area = 3/8 - 1/4 - 0 + 0

Area = 1/8 sq. unit

Hence,

The area of the region enclosed by the curves: Y = 3X and Y = 6X² is

1/8 sq. unit. For graph See the attached image.

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Answer:

Step-by-step explanation:

D

Answer:

x² + y² = 25

Step-by-step explanation:

The standard form of a circle is (x - h)² + (y - k)² = r² where (h, k) is the center point and r is the radius. In this case, the center is the origin which has coordinates of (0, 0) so h = 0 and k = 0. We know that the radius is 5 so r = 5. Therefore, after plugging in the values of h, k, and r, we get that the answer is x² + y² = 25.

Rounded to four decimal places, the p-value is 0.0844.

To determine the p-value for this hypothesis test, we need to follow these steps:

Step 1: State the null and alternative hypotheses.

Null hypothesis: The percentage of readers who own a laptop is 26%.

Alternative hypothesis: The percentage of readers who own a laptop is different from 26%.

Step 2: Determine the test statistic.

We can use a z-test for proportions since we have a large enough sample size and we know the population proportion. The formula for the test statistic is:

z = (p - p) / √(p(1-p) / n)

where p is the sample proportion, p is the hypothesized population proportion, and n is the sample size.

Using the given values, we have:

z = (0.17 - 0.26) / √(0.26(1-0.26) / 100)

z = -1.72

Step 3: Determine the p-value.

Since this is a two-tailed test, we need to find the area in both tails of the standard normal distribution that corresponds to a z-score of -1.72. Using a table or a calculator, we find that the area in the left tail is 0.0422 and the area in the right tail is also 0.0422.

Therefore, the p-value is the sum of the areas in both tails:

p-value = 0.0422 + 0.0422

p-value = 0.0844

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The coefficient of variation for the age of the group of people is approximately 20%. Thus, the correct option is C. 20.

The coefficient of variation (CV) is a measure of relative variability and is calculated as the ratio of the standard deviation to the mean, expressed as a percentage.

To find the coefficient of variation for the age of a group of people with a mean age of 55 and a standard deviation of 11, we can use the following formula:

CV = (Standard Deviation / Mean) * 100

Plugging in the values, we get:

CV = (11 / 55) * 100

CV ≈ 20

Therefore, the coefficient of variation for the age of the group of people is approximately 20%. Thus, the correct option is C. 20.

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The segment AB is a radius and the notation is ↔ AB

From the question, we have the following parameters that can be used in our computation:

The circle

On the circle, we can see that

The segment AB goes from the center of the circle to a point on the circle

A line that goes from the center of the circle to a point on the circle is the radius of the circle

This means that the segment AB is a radius and the notation is ↔ AB

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Answer:

D

Step-by-step explanation:

We would like to solve:

(3/4h + 4) - (1/2h + 1)

This is equivalent to:

3/4h + 4 - 1/2h - 1

First, combine like terms; that is, combine the terms with h in them and combine the terms without h in them:

3/4h - 1/2h + 4 - 1

The common denominator for 3/4 and 1/2 is 4, so:

3/4h - 1/2h = 3/4h - 2/4h = 1/4h

Put this back in:

1/4h + 4 - 1

1/4h + 3

The answer is thus D.

~ an aesthetics love

The given p, α, and i using the exponentiation by squaring algorithm.

To prove that 2 is a primitive root of 11, to show that every integer a with 1 ≤ a ≤ 10 can be expressed as a ≡ 2²i (mod 11) for a unique i with 0 ≤ i ≤ 9.

verify this by checking the powers of 2 modulo 11:

2² ≡ 1 (mod 11)

2²≡ 2 (mod 11)

2² ≡ 4 (mod 11)

2³ ≡ 8 (mod 11)

2² ≡ 5 (mod 11)

2³ ≡ 10 (mod 11)

2³ ≡ 9 (mod 11)

2³ ≡ 7 (mod 11)

2² ≡ 3 (mod 11)

2³ ≡ 6 (mod 11)

The remainders obtained from the powers of 2 cover all the integers from 1 to 10 modulo 11. Additionally, each remainder is unique, express any integer between 1 and 10 as a power of 2 modulo 11.

To find log₂(9), to determine the exponent i such that 9 (mod 11). From the list of powers of 2 above, that 2³= 9 (mod 11). Therefore, log₂(9) = 6.

A given p, α, and i, where α is a primitive root of p and i is the discrete logarithm or index use the algorithm of exponentiation by squaring.

The algorithm for computing a given p, α, and i is as follows:

Set result = 1.

Initialize a binary representation of i, e.g., i = b[m]b[m-1]...b[1]b[0].

For j from m to 0:

a. Square the current result: result = result × result (mod p).

b. If bj = 1, multiply the current result by α: result = result × α (mod p).

Return the final result.

This algorithm takes advantage of the binary representation of i to compute a efficiently. By squaring the current result and multiplying by α only when necessary, compute a in logarithmic time complexity with respect to i.

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Answer:

your answer is 415 in^3

Step-by-step explanation:

ok the equation  in finding the volume of a come is

V= \(\pi r^2 \frac{h}{3}\)

step 1: plugin

\(\pi =3.14\)

3.14 x 6^2 x 11/3

3.14x 36 x 11/3 =   (6/3 turns into a 2)

113.04x 11/3= 114. 48, when rounded, it's going to give you 415 in^3

Using the provided information we get,

a) Optimal quantity of city beautification projects is three.

b) 3124 city beautification is a public good because it is rival in consumption and non-excludable. So, Correct option is option (C).

The fictional city of Hurstville is trying to determine how many urban beautification projects it has. The city has two types of citizens, ones who appreciates beauty more than other type.

The average cost of each project = $400

We have given that

The combined marginal benefit curves are determined by horizontally adding up the in the individual marginal benefit curves. So, the optimal quantity of benefication projects is at the point where MSB is equal to MSE. Thus, the optimal outputs is 3 projects.

The city beneficiation is a public good because it is non-trivial in consumption and non-excludable.

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Answer:

Step-by-step explanation:

The key here is knowing that the equation of the line that passes through these points is same

Thus having (6,14) and (0,0), the slope is as follows;

m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3

Now we can use this slope here to get the value of y in the question

All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)

That would be;

7/3 = y-14/1-6

7/3 = y-14/-5

cross multiply;

-35 = 3(y-14)

-35 = -3y + 42

-3y = -35-42

-3y= -77

y = -77/3

y = 77/3