Need help on this!! 15 points!!!

Answer:

the answer is given on the picture

The number of people like only coffee is 30 and the number of people like only tea is 55.

A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.

Let T=tea and C=coffee

n(T)=80

n(C)=55

n(T∩C)=25

People did not like both tea and coffee=30

ii) Number of people surveyed

n(T∪C)=n(T)+n(C)-n(T∩C)

= 80+55-25

= 110

Then,

n(∪)=n(TUC)+People did not like both tea and coffee

= 110+30

= 140

iii) Number of people like only Tea

=n(T)-n(T∩C)

=80-25

=55

iv) Number of people like only coffee

=n(C)-n(T∩C)

= 55-25

= 30

Therefore, the number of people like only coffee is 30 and the number of people like only tea is 55.

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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}

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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.

Answer:

1188

Step-by-step explanation:

33 X 36 = 1188

TO FIND AREA: Height x width= area

Height is 33 Width is 36

40 is just a distraction! :)

Answer:

45 is the anwser

Step-by-step explanation:

thank you

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:

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:

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:

B.

Step-by-step explanation:

B. 0.078 is your answer

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)

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Answer:

<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.

3M+58+8M+155=180

11M=180-213

11M=-33

M=-3

SO,

<PCH

3M+58

=3*(-3)+58

=58-9

=49-DEGREE

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

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]

Step-by-step explanation:

hope it helps

Answer:

12f^5

Step-by-step explanation:

3f x 4f⁴

=3x4xf^(4+1)

=12xf^(5)

=12f^5

Answer:

2√65(13+√2)

=2√130+26√65 (Decimal: 232.42221)

Step-by-step explanation:

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:

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:

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)

Step-by-step explanation:

2⁶X5⁴X3¹²/2²x5²x3⁴

2⁴ × 5²×3⁸

Answer:

Step-by-step explanation:

[tex]\frac{2^{6}*5^{4}*3^{12}}{2^{2}*5^{2}*3^{4}}=2^{6-2}*5^{4-2}*3^{12-4}\\\\\\=2^{4}*5^{2}*3^{8}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}, m>n[/tex]

In exponent division, if both numbers have same base, subtract the exponents.

Answer:

100

Step-by-step explanation:

Given:

Tn = 2n

Where,

n = nth term

what will be its 50th term?

Tn = 2n

T(50) = 2(50)

= 100

T(50) = 100

Therefore,

The 50th term = 100

Answer:25,000(0.15)^x

Step-by-step explanation:

I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.

Step-by-step explanation:

h na jwhwwhwhwhwhwhwhwhwjjwjwjwjje i don't know thrle answer

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.

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:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]

Step-by-step explanation:

we want to differentiate the following by using limit:

[tex] \displaystyle \frac{d}{dx} \sqrt{x} [/tex]

derivative definition by limit given by

[tex] \rm \displaystyle \frac{d}{dx} = \lim _{\Delta x \to 0} \left( \frac{f(x + \Delta x) - f(x)}{ \Delta x} \right) [/tex]

given that,

f(x)=√x

so,

f(x+∆x)=√(x+∆x)

thus substitute:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \right) [/tex]

multiply both the numerator and denominator by the conjugate of the numerator:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \times \frac{ \sqrt{x + \Delta x} + \sqrt{x} }{\sqrt{x + \Delta x} + \sqrt{x}} \right) [/tex]

simplify which yields:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ (\sqrt{x + \Delta x}) ^{2} - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

simplify square:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{ \Delta x \to 0} \left( \frac{ x + \Delta x - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

collect like terms:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \Delta x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

reduce fraction:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ 1 }{ (\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

get rid of ∆x as we are approaching its to 0

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ \sqrt{x } + \sqrt{x}} [/tex]

simplify addition:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]

and we are done!

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 )

I went on Doyourmath, and it helps me if the image didn't help then I am sorry, but I am truly hoping I answered your question.