Cody was looking at his streaming music stats. The Ratio of songs he liked to disliked was 5:6. If he listened to 1,078 songs total how many did he like? Pls help

Answer: 50%

Step-by-step explanation:

The answer is 50%.

Answer:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

Step-by-step explanation:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

because x should not be the same in more than one pair

Answer: You have to simplify divide by x

Step-by-step explanation:

Answer:

132 students

Step-by-step explanation:

100% means all of something, so 100% can also be written as 1.00

Since we need 55% of 240, we can multiply 240 by 0.55 and get 132.

=====================================================

Explanation:

Subtract the equations straight down.

After that set of subtractions, we get the new equation 5x = 5.

It solves to x = 1 when dividing both sides by 5.

We can stop here since we found the x coordinate of the solution.

---------

If you want the y coordinate then plug this into either equation to solve for y

So,

3x+y = 9

3*1+y = 9

3+y = 9

y = 9-3

y = 6

Therefore, the two lines intersect at the solution point (x,y) = (1,6)

I recommend using a graphing tool like Desmos or GeoGebra to confirm.

If we used the other equation, then,

-2x+y = 4

-2*1+y = 4

-2+y = 4

y = 4+2

y = 6

We get the same y value from earlier. This helps verify the answer is correct.

Answer:

Step-by-step explanation:

As they are in proportion,

x +4  : x +12   :: x -1  : x + 5

Product of means  = Product of extremes

(x + 12)(x -1) = (x +4)(x+5)

Use FOIL method for polynomial multiplication

x*x + x*(-1) + 12*x + 12*(-1) = x*x +  x*5  + 4*x + 4*5

x² - x + 12x - 12 = x² + 5x + 4x + 20

Combine like terms

x² + 11x - 12 = x² + 9x + 20

x² + 11x - 12 - x² - 9x - 20 = 0

Combine like terms

x² - x² + 11x -9x   -12 -20 = 0

2x - 32 = 0

2x = 32

x = 32/2

x = 16

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

1=5/5, 2=10/5, etc. (See if you can figure the rest out yourself)

Step-by-step explanation:

As you can see, between each whole number are four fractions, which means each of them are 1/5 of the whole number. Therefore, 1=5/5, 2=10/5, etc.

Answer:

y = 2sin(x - π/4)

Step-by-step explanation:

The graph depicts a sin graph which is shifted to the right by π/4 so the x value will have be bigger so to counteract this change, the equation would be sin(x - π/4) and since the amplitude is 2, the overall equation would be 2sin(x- π/4).

Answer:

x =51

Step-by-step explanation:

You have to set up an equation according to the info you've been given.

Lets use a variable (x) to represent your unknown number.

  6*x  - 8 = 298  ---- I.

   6x - 8 =298 ----  II. add 8 on both sides

        6x = 306 ---- III. Divide both sides by 6

        x = 51

Step-by-step explanation:

sin0° = cos90°

sin30° = cos60°

sin45° = cos45°

sin60° = cos30°

sin90° = cos0°

Hey there!

“Two hundred five million, four hundred thousand six”

205,400,006

Because,

“two hundred five million” is

205,000,000

“Four hundred thousand” is

400,000

“Six” is simplify

6

The equation is:

205,000,000 + 400,000 + 0 + 0 + 6

Which converts to: 205,400,006

Answer: 205,400,006

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The inference procedure for each is give below-

A. The inference procedure: Confidence Interval - One mean, μ.

C. The inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

E. The inference procedure: Confidence Interval - One proportion, p.

G. The inference procedure: Confidence Interval - Difference in proportions from two separate samples, M1-M2

I. The Inference procedure: Hypothesis test - Difference in means from two independent samples.

K. The Inference procedure: Hypothesis test - Paired means, HD.

B. The Inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

D. The Inference procedure: Hypothesis test - One mean, μ.

F. Inference procedure: Confidence Interval - Paired means, HD.

H. Inference procedure: Hypothesis test - One proportion, p.

J. Inference procedure: Confidence Interval - Difference in means from two independent samples.

L. It doesn't directly involve inference.

Now we have-

A. What's the average number of free throws for the Warriors to attempt during a game?

Distribution type: z

C. Do the Warriors make more free throws (on average) during games at home than on the road?

Simulation type: BT (bootstrap)

Distribution type: z

E. What proportion of free throw attempts do the Warrior players make?

Simulation type: BT (bootstrap)

Distribution type: z

G. How much better (or worse) are the Warriors at making free throw attempts compared to their opponents?

Simulation type: BT (bootstrap)

Distribution type: z

I. Is the mean number of free throw attempts awarded to the Warriors during their games different from the mean number attempted by their opponents?

Distribution type: z

K. (Challenge) On average, is the point spread when GSWarriors win larger than the point spread when they lose?

Simulation type: BT (bootstrap)

Distribution type: z

B. Is the proportion of free throws made by the Warriors different between games they play at home and those they play on the road?

Simulation type: BT (bootstrap)

Distribution type: z

D. Over the past 10 years, NBA teams have averaged close to 25 free throw attempts per game. Treating this as the population mean, is the mean number of free throw attempts by the Warriors much different?

Simulation type: BT (bootstrap)

Distribution type: z

F. How many more (or fewer) free throw attempts do the Warriors take on average for home games compared to road games?

Simulation type: BT (bootstrap)

Distribution type: z

H. Players in the NBA as a whole make about 75.6% of their free throws. Is the proportion made by the Warriors different from this?

Simulation type: BT (bootstrap)

Distribution type: z

J. How does the average number of free throws made (per game) by the Warriors compare to their opponents?

Distribution type: z

L. (Extra) On average, what is the point spread in GS Warrior games? (where "+" means they won; "-"means they lost)

This case doesn't directly involve inference.  As it requires calculating the average point spread, but it doesn't involve making statistical inferences about a population parameter.

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Answer:

16

Step-by-step explanation:

you back track the numbers such as 4 goes back to 2 and 28 goes back to 22 then again and you get x as 9 and y as 16

Answer:

-1=x

Step-by-step explanation:

2x-2-(2x-1)=x+4-1-(-3x)

2x-2-2x+1=x+4-1+3x

-1=4x+3

-4=4x

-1=x

Answer: $2.40

Step-by-step explanation:

0.75 * 0.07 = 0.0525

round = 0.05

0.75+0.05 = 0.8

0.8*3 = 2.4

$2.40

1. The derivative of y = (4x⁴ - 5)(-x⁴ + x² + 2) is:

(4x⁴ - 5)(-4x³ + 2x) + (-x⁴ + x² + 2)16x³

2. The derivative of y = (x⁴ + 4x² - 4) / (2x³ - 4) is:

[(2x³ - 4)(4x³ + 8x) - (x⁴ + 4x² - 4)6x²] / (2x³ - 4)²

1. The derivative of y = (4x⁴ - 5)(-x⁴ + x² + 2) can be obtain as follow

Let

Thus,

du/dx = 16x³

dv/dx = -4x³ + 2x

Finally, the derivative of y is obtained as follow:

d(uv)/dx = udv/dx + vdu/dx

dy/dx = (4x⁴ - 5)(-4x³ + 2x) + (-x⁴ + x² + 2)16x³

Thus, the derivative of y is (4x⁴ - 5)(-4x³ + 2x) + (-x⁴ + x² + 2)16x³

2. The derivative of y = (x⁴ + 4x² - 4) / (2x³ - 4) can be obtain as shown below:

Let

Thus,

du/dx = 4x³ + 8x

dv/dx = 6x²

Finally, the derivative of y is obtained as follow:

d(uv)/dx = (vdu/dx - udv/dx) / v²

dy/dx = [(2x³ - 4)(4x³ + 8x) - (x⁴ + 4x² - 4)6x²] / (2x³ - 4)²

Thus, the derivative of y is  [(2x³ - 4)(4x³ + 8x) - (x⁴ + 4x² - 4)6x²] / (2x³ - 4)²

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The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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Step-by-step explanation:

\( \sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha) \)

Use the identity

\( \sin^2 \theta = \dfrac{1 - \cos 2\theta}{2} \)

on the left side.

\( \dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha) \)

\( \dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha) \)

Now use the identity

\( \sin \theta = \cos(\frac{\pi}{2} - \theta) \)

on the left side.

\( \dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha) \)

\( \frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha) \)

A combination of carnations and roses that does not meet the restrictions is given as follows:

r = 80, c = 0.

The are four restrictions in the problem, given as follows:

Hence the combinations that meet these restrictions are the combinations that are between these four curves, which are the amounts below the blue line and above the red line, as the graph is composed by the first quadrant.

Then one combination that does not meet the restrictions is given as follows:

r = 80, c = 0.

As it is not on the region between the red line and the blue line.

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Answer:

6.875 degrees

Step-by-step explanation:

\(Total=7\times8=56\\56-1=55\\mean for 8 days=\frac{55}{8} =6.875 degrees\)

Answer:

ok

Step-by-step explanation:

Answer:

X1,Y1

Step-by-step explanation:

If the Quadrilateral was rotated 90 degrees clockwise around point C, C would still be on the same X line that it is currently on but, point B would also rotate down to that same horizontal line. Between point C and point B there is a space of 3 units, so if that rotated 90 degrees clockwise it would be 3 units to the right of the current position of point C.  

Hope this helps!

Answer:

B

Step-by-step explanation:

Strictly increasing functions:

Let a function f(a) for x = a, then,

f(a + h), for x = a + h,

If f(a + h) > f(a), we say this a strictly increasing function, as with increase in x, f(x) also increases.

In the given graph, there are straight lines so you can say increasing interval would have +ve slope.

For x = -5 to -4, it increases = [-5, -4]

For x = 1 to 3, it increases = [1, 3]

Answer: [-5, -4] , [1, 3]

The values of the functions is  ,

(a) f(2) = -6

(b) f(4) = -2

(c) f(-3) = 19

In the question ,

it is given that the function is f(x) = x² - 4x - 2

we have to find the value of f(2) , f(4) , f(-3)

Part(a)

to find f(2) , we substitute x = 2 in the function

On substituting , we get

f(2) = 2² - 4*2 - 2

= 4 - 8 - 2

= 4 - 10

= -6

Part(b)

to find f(4) , we substitute x = 4 in the function f(x)

On substituting , we get

f(4) = 4² - 4*4 - 2

= 16 - 16 -2

= 0 - 2

= -2

Part(c)

to find f(-3) , we substitute x = -3 in the function

On substituting , we get

f(2) = (-3)² - 4*(-3) - 2

= 9 + 12 -2

= 9 + 10

= 19

Therefore , The values of the functions is  , (a) f(2) = -6  , (b) f(4) = -2 ,  (c) f(-3) = 19

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(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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solution 1

\(\dashrightarrow \sf 6\dfrac{2}{6} *1\dfrac{1}{2}\)

\(\dashrightarrow \sf \dfrac{38}{6} *\dfrac{3}{2}\)

\(\dashrightarrow \sf \dfrac{114}{12}\)

\(\dashrightarrow \sf 9\dfrac{6}{12}\)

solution 2

\(\dashrightarrow \sf 5\dfrac{2}{3} *\dfrac{3}{4}\)

\(\dashrightarrow \sf \dfrac{17}{3} *\dfrac{3}{4}\)

\(\dashrightarrow \sf 4\dfrac{3}{12}\)

Answer:

Question 3) -- C -- 9  6/12

Question 4) -- C -- 4  3/12

Step-by-step explanation:

Hope this helps