Graph the solution set to this inequality.
3x– 11 > 7x + 9

Answer:

$58.8

Step-by-step explanation:

You will take 60 which is the the amount of songs you bought then multiply it by .98. This will then give you 58.8

Answer:

2  and 31 are prime

15 and 8 are composite

1 is neither prime nor composite

Step-by-step explanation:

Prime numbers are only divisible by one and  themselves

15 = 5*3  composite

2 = prime

8 = 4*2  composite

31 = prime

1 neither prime nor composite

13= prime

Answer:

The following sizes of rectangles could have been drawn: A, C and E

The formula for X's cumulative distribution function (CDF) is

a. Probability P(X≤3) = P(X=1) + P(X=2) + P(X=3) = 1/7 + 1/14 + 3/14 = 5/14

b. P(X<3) = P(X=1) + P(X=2) = 1/7 + 1/14 = 3/14

c. P(X<4.12|X>1.638) = P(2<X<4.12)/P(X>1.638) = [P(X=3)+P(X=4)]/[1-P(X=1)] = (3/14)/(11/14) = 3/11

d.  The cumulative distribution function of X, for x = 5, F(5) = 1

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, we have,

a. Probability P(X≤3) = P(X=1) + P(X=2) + P(X=3) = 1/7 + 1/14 + 3/14 = 5/14

b. P(X<3) = P(X=1) + P(X=2) = 1/7 + 1/14 = 3/14

c. P(X<4.12|X>1.638) = P(2<X<4.12)/P(X>1.638) = [P(X=3)+P(X=4)]/[1-P(X=1)] = (3/14)/(11/14) = 3/11

d. The formula for X's cumulative distribution function (CDF) is

F(x) = P(X < x)

For x = 1, F(1) = 1/7

For x = 2, F(2) = 1/7 + 1/14 = 3/14

For x = 3, F(3) = 1/7 + 1/14 + 3/14 = 5/14

For x = 4, F(4) = 1/7 + 1/14 + 3/14 + 2/7 = 11/14

For x = 5, F(5) = 1

As a result, X's CDF is:

F(x) = {1/7, x < 1

3/14, 1 ≤ x < 2

5/14, 2 ≤ x < 3

11/14, 3 ≤ x < 4

1, x ≥ 4}

Learn more about probability here:

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complete question:

Let X have probability mass function

x 1 2 3 4 5

px(x) 1/7 1/14 3/14 2/7 2/7a. Calculate P(X≤3).

b. Calculate P(X<3).

c. Calculate P(X<4.12|X>1.638).

d. Find the cumulative distribution function of X.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]{x=152.666....[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for x...}}\\\\3x+ 65= 523\\----------\\\rightarrow 3x + 65 - 65=523-65\\\\\rightarrow 3x = 458\\\\\rightarrow\frac{3x = 458}{3}\\\\\rightarrow \boxed{x=152.666....}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

[tex]\text{ Thank ~you!! }[/tex]

Answer:

See below

Step-by-step explanation:

f(x - 1) is the translation of f(x) one unit right.

So the graph is exactly same shape but shifted right one unit.

f(x) has vertex (-1, 2)

The function y = f(-x) + 2 will have the vertex changed as per rule:

So the new vertex is:

Answer:

h = 20 ft

theta =53.13010235

Step-by-step explanation:

First we can find the height by the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs

15^2 + h^2 = 25^2

225 + h^2 = 625

h^2 = 625 - 225

h^2 = 400

Taking the square root of each side

h = 20 ft

Now using trig functions

cos theta = adj side / hyp

cos theta = 15/25

Taking the inverse cos of each side

cos^-1 ( cos theta) = cos^-1 ( 15/25)

theta =53.13010235

False because it's not true that's not the anwser

Answer:

[tex]\frac{1}{27}[/tex]

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

[tex]\frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}[/tex]

Finally, we see that the probability of all three balls landing in the same bucket is [tex]\frac{1}{27}[/tex]

Answer:

2√65(13+√2)

=2√130+26√65 (Decimal: 232.42221)

Step-by-step explanation:

Answer:

2nd and 4th are parallel

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 )

Given

3y + x = 5 ( subtract x from both sides )

3y = - x + 5 ( divide terms by 3 )

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{1}{3}[/tex]

-------------------------------------------------------

x - 3y = 12 ( subtract x from both sides )

- 3y = - x + 12 ( divide terms by - 3 )

y = [tex]\frac{1}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

-------------------------------------------------------

y = 3x - 2 ← in slope- intercept form

with slope m = 3

---------------------------------------------------------

6y - 2x = 7 ( add 2x to both sides )

6y = 2x + 7 ( divide terms by 6 )

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{7}{6}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

--------------------------------------------------------

Parallel lines have equal slopes.

The 2nd and 4th have equal slopes and are parallel

Answer:

I think it is 4

Step-by-step explanation:

as the Y intercept is -3 so only that one crosses -3 on Y axis.

Answer:

B.

Step-by-step explanation:

B. 0.078 is your answer

Answer:

side a = 17.58722

angle a = 41.96 degrees

angle b = 47.04 degrees

Step-by-step explanation:

Obtuse Scalene Triangle

Side a = 19.25

Side b = 17.58722

Side c = 26.3

Angle ∠A = 47.04° = 47°2'23" = 0.821 rad

Angle ∠B = 41.96° = 41°57'37" = 0.73234 rad

Angle ∠C = 91° = 1.58825 rad

C=91°B=41.96°A=47.04°b=17.587a=19.25c=26.3

Area = 169.25122

Perimeter p = 63.13722

Semiperimeter s = 31.56861

Height ha = 17.58454  

Height hb = 19.24707

Height hc = 12.87082

Median ma = 20.19553  

Median mb = 21.30255

Median mc = 12.92339

Inradius r = 5.36138  

Circumradius R = 13.152  

Vertex coordinates: A[0, 0] B[26.3, 0] C[11.98551, 12.87082]

Centroid: [12.76184, 4.29027]

Inscribed Circle Center: [12.31861, 5.36138]

Circumscribed Circle Center: [13.15, 0.22953]

Answer:

6xand 4x

Step-by-step explanation:

but mainly when a number is on bracket u have to multiply it so 8 times 6x and 6 times 4x is the numbers with like terms

Answer:

x = 20

Step-by-step explanation:

180° = total

3 = amount of angles

180 ÷ 3 = 60°

60° + 60° + 3x = 180°

120° + 3x = 180

3x = 180 - 120

3x = 60

x = 20

Answer:

1.5

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{3}^x[/tex]

[tex]Options: 0.3\ 0.9\ 1.0\ 1.5[/tex]

Required

What value cause a stretch

For the function to stretch, then the scale factor must be greater than 1.

From the list of options.

Only 1.5 is greater than 1 i.e. [tex]1.5 > 1[/tex]

Hence, 1.5 will cause a stretch.

Answer:

ITS D. 1.5

Step-by-step explanation:

Answer:

1688/22

Step-by-step explanation:

keep, change, flip

Answer: A. preserves length, angle measures and distance between points

Rigid motions or isometries are any of the three transformations below

Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.

If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.

Answer:

105.12

Step-by-step explanation:

Find the area of the rectangle (8 x 10 = 80)

Find the area of the whole circle (3.14 x 4^2 = 50.24)

Divide the area of the circle by 2 since it is a semi circle (50.24 / 2 = 25.12)

Add the area of the two (25.12 + 80 = 105.12)

The factorization of x2 - 6x + 5 is (x - 1)(x -5)

From the graph, the zeros of the function are:

x = 1 and x = 5

Set the zeros to 0

x - 1 = 0 and x - 5 = 0

Multiply the zeros

(x - 1)(x -5) = 0

Hence, the factorization of x2 - 6x + 5 is (x - 1)(x -5)

Read more about factorization at:

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Step-by-step explanation:

Sorry I don't kNkw the amswer

Answer:

1/a^2 is the answer to this question

Answer:

2 ( 2x+3) (2x-3)

Step-by-step explanation:

8x^2-18Factor out the greatest common factor of 2

2( 4x^2 -9)

2 ( (2x)^2 - 3^2)

What is inside the parentheses is the difference of squares

a^2 - b^2 = (a+b)(a-b)  

2 ( 2x+3) (2x-3)

Answer:

B. 2( 2 x + 2 ) ( 2x - 3 )

Step-by-step explanation:

8 x² - 18

2 ( 4 x ² - 9 )

2 ( ( 2x ) ² - ( 3 )²)

2 ( 2 x + 3 ) ( 2x - 3 )

Answer:

x=1

y=-2

point form- (1,-2)

Answer:

- 39

Step-by-step explanation:

x + 7= (-2)^5

x + 7 = -32

x = - 32- 7

x = - 39

Answer:

B

Step-by-step explanation:

1/4.6+1/2=1/3.6

6/4+1/2=2

8/4=2

So B

Answer:

[tex]9\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]\frac{x}{8-y}=\frac{48}{8-3}=\frac{48}{5}=9\frac{3}{5}[/tex]

Answer:

9.6

Step-by-step explanation:

x=48

y=3

=>x/8-y

=>48/(8-3)

=>48/5

=>9.6