maths geometry
i just need 4)
i’ve worked everything else out

The probability of having less than 10 vegans attending the event, given that the binomial distribution requirements are satisfied, is 9%.

The requirements of a binomial distribution include:

Probability is the likelihood of an event occurring given the possibility of many outcomes.

Probability is computed as percentages, fractions, or decimals, and it cannot be more than 1.

Expected guests = 100

Expected vegans = 5%

Less than 10 vegans = 9

The chance that 9 vegans will attend the event = 9/100 = 9%.

Thus, the probability of having less than 10 vegans attending the event is 9%.

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Step-by-step explanation:

so, simply, when is c = 0 ?

0 = -0.0166x² + 1.2109x + 41.708

the solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -0.0166

b = 1.2109

c = 41.708

x = (-1.2109 ± sqrt(1.2109² - 4×-0.0166×41.708))/(2×-0.0166) =

= (-1.2109 ± sqrt(1.46627881 + 2.7694112))/-0.0332 =

= (-1.2109 ± sqrt(4.23569001)/-0.0332 =

= (-1.2109 ± 2.058079204...)/-0.0332

x1 = (-1.2109 + 2.058079204...)/-0.0332 =

= -25.5174459... years

x2 = (-1.2109 - 2.058079204...)/-0.0332 =

= 98.46322904... years

x1 represents then a calculation backwards of 1940 - 25.5 years (≈ 1914) as the estimated starting point with 0 million sold papers.

x2 is the projected year in the future with 0 million dogs papers :

1940 + 98.46322904... = 2038.463229... ≈ 2038

based on this equation it is expected that during 2038 the circulation of weekday newspapers will drop to 0 millions.

The required distance is 16.40 km.

This problem can be solved if we know the concept of speed, time and distance.

We know the speed=[tex]\frac{distance}{time}[/tex]

To solve the problem let us assume that the total distance between the workplace and home is x km.

Given that his speed while going from home to work is 45 mph and while returning is 35 mph.

Time for the complete journey is [tex]\frac{5}{6}hr[/tex].

Now according to question;

   [tex]\frac{x}{45}+\frac{x}{35}=\frac{5}{6}[/tex]

⇒[tex]\frac{7x+9x}{315}=\frac{5}{6}[/tex]

⇒[tex]16x=\frac{5*315}{6}[/tex]

⇒ [tex]x=\frac{5*315}{6*16}[/tex]

∴ [tex]x=16.40\ km[/tex]

So, the required distance is 16.40 km.

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The time that it will take the ball to hit the ground in 4 seconds.

To solve this problem you need the function;

h(t) = -16t² + v₀t + h₀

where;

t = time

v₀ is the initial velocity, which in our case is 0

h₀ is initial height, which in our case is 121 ft

h(t) = 0 since we want to know when the ball will hit the ground.

Thus;

0 = -16t² + 121

And we can solve for t;

If we rearrange the terms we see that this is a difference of 2 squares

0 = 121 - 16t²

0 = (11 - 4t)(11 + 4t)

Setting each factor = 0 gives;

11 - 4t = 0       11 + 4t = 0

t = 11/4       or      t = -11/44

The second solution is discarded as time cannot be negative.

Thus, the ball will hit the ground in 4 seconds.

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The equivalent expressions of the given expressions are

The expressions are given as

The distributive property stated that

a(b + c)= ab + ac

Using the above as a guide, the equivalent expressions are

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Answer:

C. & D.

Step-by-step explanation:

I believe it is C & D because, They both are in the same order just switched around, combine like like terms on both sides of the equation then if they are identical then they're equivalent.

Answer: 12 cm^2

Step-by-step explanation:

BC ==> Base of triangle

Divide the triangle in two parts:

BC/2=BC'

6/2=BC'

BC'=3

Distance formula: a^2+b^2=c^2

c^2-a^2=b^2

5^2-3^2=b^2

25-9=b^2

b^2=16

b=4 ==> height of triangle

Area of triangle=A. b=base. h=height

A=1/2 * b * h=

A=1/2 * 6 * 4

A=1/2 * 24

A=12 cm^2

Distance between the points is -16.

given;

x1 =6

x2=8

y1=-12

y2=-20

d = (x2-x1) (y2-y1)

   =  (8-6) [-20 - ( -12 )]

    =  2 (-8)

     = -16

the degree or amount of separation between two points, lines, surfaces, or objects

therefore the distance between the points is -16 .the quality or state of being distant: such as

a

: spatial remoteness

quite a distance between the two hospitals

b

: personal and especially emotional separation

feels a distance from her brother that wasn't there before

also : RESERVE, COLDNESS

c

: DIFFERENCE, DISPARITY

the distance between the two philosophies

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Step-by-step explanation:

f(x) = 3x² - 2x + 8 , x = 3

f(3) = 3.3² - 2.3 + 8

= 27 - 6 + 8

= 29

Answer:

Se hunde mas rapido en agua salada.

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

You want a Venn diagram that represents the flavor preferences of 135 students.

The diagram you show is a good start. It usually works best to start by filling in the center spot, where all three circles overlap. You have correctly identified the number liking all three flavors as 15.

Working outward, the next step is to fill in the numbers for those who like two flavors. These numbers already include the number who like all three. This means ...

  caramel + vanilla (only) = (caramel + vanilla) (28) - (caramel +vanilla +chocolate (15)

  caramel + vanilla (only) = 28 -15 = 13

Similar computations are done for the other "likes 2 only" spots on the diagram:

  chocolate + caramel (only) = 31 -15 = 16

  chocolate + vanilla (only) = 22 -15 = 7

In like fashion, the numbers for one flavor only need to subtract out the numbers already inside the circle for that flavor.

  chocolate (only) = 63 -16 -15 -7 = 25

Finally, the number of students having no preference is found by subtracting the numbers inside the parts of the circles from the total number of students:

  no preference = 135 -111 = 24

The attachment shows the completed diagram.

Answer:

7

Step-by-step explanation:

subtracting a negative is the same as just adding the number, so five minus negative seven is just five plus seven

Answer:

32

Step-by-step explanation:

That is a weird question. Usually questions like that include a variable. Its like saying n = 32. It just gives the answer. Assuming you didn't miss anything, this is the answer.

Cofunction equivalent to [tex]$\sin (5 \pi / 12)=\cos (1 \pi / 12)$[/tex].

You use the formula for the sine of a sum:

[tex]$$\sin (a+b)=\sin a \cos b+\cos a \sin b$$[/tex]

Think of a pie divided into twelve slices. Three of them form one quarter, two more form one sixth of the pie. So, thinking of the "pie" as [tex]$\pi$[/tex]:

[tex]\frac{5 \pi}{12}=\frac{\pi}{4}+\frac{\pi}{6}[/tex]

With that in mind, put [tex]$a=\frac{\pi}{4}, b=\frac{\pi}{6}$[/tex] into the sine formula given above:

[tex]$$\sin \left(\frac{5 \pi}{12}\right)=\sin \left(\frac{\pi}{4}\right) \cos \left(\frac{\pi}{6}\right)+\cos \left(\frac{\pi}{4}\right) \sin \left(\frac{\pi}{6}\right)$$[/tex]

Plug in the familiar values [tex]$\sin \left(\frac{\pi}{4}\right)=\cos \left(\frac{\pi}{4}\right)=\frac{\sqrt{2}}{2}, \cos \left(\frac{\pi}{6}\right)=\frac{\sqrt{3}}{2}$[/tex], [tex]$\sin \left(\frac{\pi}{6}\right)=\frac{1}{2}$[/tex], and you get the answer given above. And, yes, putting that expression into a calculator gives [tex]$0.9659$[/tex] (four significant digits).

The cofunction of an angle θ is the trigonometric complement of an angle. It shows the relationship between trignometric functions:

List the cofunction formula for [tex]$\sin$[/tex]

[tex]$$\sin (\theta)=\cos (\pi / 2-\theta)$$[/tex]

Plug in [tex]$\theta=5 \pi / 12$[/tex] for our cofunction formula:

[tex]$$\sin (5 \pi / 12)=\cos (\pi / 2-5 \pi / 12)$$[/tex]

Determine common denominator in radians

We use a common denominator of [tex]$(12 \div 2)=6$[/tex]

[tex]$\sin (5 \pi / 12)=\cos (6 \pi / 12-(5 \pi / 12))$[/tex]

[tex]$\sin (5 \pi / 12)=\cos (1 \pi / 12)$[/tex]

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Answer:

0

Step-by-step explanation:

To find the slope of a line, you have to use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

So, plug in the numbers: [tex]\frac{-7-(-7)}{-2-1}[/tex]

Simplifying it becomes: [tex]\frac{-7+7}{-2+-1}[/tex]. It then becomes [tex]\frac{0}{-3}[/tex].

Finally, dividing 0 by -3 gets you 0.

The inequality will be:

x ≥ $9

Which says that x can be equal to or larger than $9.

An inequality is a mathematical statement that relates two or more mathematical elements (variables, expressions, etc.) in such a way that there is not a equality like in an equation (an equality can be a solution, but not necessarily)

For example, if x represnts what you bring for dinner, we know that x needs to be at least $9.

So x = $9 is a solution.

But if x is a larger value than $9, it also is a solution.

This situation is represented by the inequality:

x ≥ $9

Which says that x can be equal to or larger than $9.

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Answer:

8

Step-by-step explanation:

shirts = 10, price per shirt = $9

shirts = 25, price per shirt = $8.40

Linear equation be:

y = mx + b

x = 10 , 25

y = 9 , 8.40

9 = 10m + b  

8.4 = 25m + b

9 = 10 m + b  b = 9 - 10m

8.4 = 25m + b 8.4 = 25m + 9 - 10m

8.4 - 9 = 15m m = -0.6/15 = -0.04

m = - 0.04

b = 9 - 10m = 9 - 10(-0.04) = 9+0.4 = 9.4

b = 9.4

The linear equation =

y = mx + b

y = -0.04x + 9.4

Hope this helped xx ?<3

None of the options is correct. 813 divided by 13 equals 62.538461, whose approximate value is 62

13 times 813 equals 62.538461.

813/13 produces a non-terminating, repeating decimal as a consequence.

The repeating pattern seen above, 538461, is referred to as repetend and is shown with an overline and vinculum.

Another typical parenthetical remark is this one: 813/13 = 62.(538461): However, it's likely that you may see the reptend marked with an ellipsis in daily use: 813 / 13 = 62.538461… .

Decimal 813 divided by 13 equals 62.538461.

In a fraction, 813 is equal to 813/13.

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Answer:

The police will catch the thief in 5 minutes.

Step-by-step explanation:

Distance between thief and police after 2 minutes = 100 m

Implies, thief covers total 100 + 50t m

The police runs with the following patterns 60,65,70...

This is an Arithmetic Progression with a = 60, d = 5 & number of terms = t

t/2 (2 × 60+ (t − 1) ×5)= 50t + 100

t× (120 + 5t −5)= 100t + 200

​(−3+13)÷2= 5

So, the police will catch the thief in 5 minutes.

Answer: as a decimal 1.6

as a fraction 8/5 hope this helps

Step-by-step explanation:

The balance in Larry's savings account at the end of these 8 years is 1698 dollars and 84 cents

The given parameters are

Principal, P = 1287

Rate, R= 4%

Time, T = 8

The balance in dollars and cents in Larry's savings account at the end of these 8 years

Balance = P * PRT

This gives

Balance = 1287 + 1287 * 4% * 8

Evaluate

Balance = 1698.84

Hence, the balance in Larry's savings account at the end of these 8 years is 1698 dollars and 84 cents

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Answer:

In decimal

[tex] - 2.8[/tex]

As fraction

[tex] \frac{ - 14}{5} [/tex]

And as mixed fraction

[tex] - 2 \frac{4}{5} [/tex]

Step-by-step explanation:

Greetings !

Given expression

[tex]f(x) = \frac{x - 8}{x + 11} [/tex]

Thus, plug in -6 in the variable x and solve

[tex]f( - 6) = \frac{ - 6 - 8}{ - 6 + 11} [/tex]

solve -6-8 = -14

solve -6+11 = 5

[tex] = \frac{ - 14}{5} [/tex]

Apply fraction rule

[tex] \frac{ - a}{b} = - \frac{a}{b} [/tex]

Thus

[tex] = - \frac{14}{5} [/tex]

Convert iimproper fraction to mixed fraction .

[tex] \frac{14}{5} = 2 \: \: remainder \: \: 4[/tex]

[tex]convert \: to \: mixed \: number \\ quotient \frac{remainder}{divisor} [/tex]

whereas

[tex] \frac{14}{5} = 2 \frac{4}{5} [/tex]

[tex] = - 2 \frac{4}{5} [/tex]

Hope it helps !!!

Answer:

21.6 miles

Step-by-step explanation:

59-15.5-21.9= 21.6

or

21.6+15.5+21.9= 59

Answer:

the answer is A

that is 828263

Answer:

81/730

Step-by-step explanation:

The chance of picking a day forecasted to have no rain is 45/365.

There is a 90% chance it actually rains on this day, so the probability is

[tex](45/365)(0.9)=81/730[/tex]

Answer:

The number is -2

Step-by-step explanation:

First let's turn this into an equation

5 times a number (we'll use x) + 34 = 24

5x+34= 24

Now to start solving the problem

First thing's first, let's carry over the 34 to the other side by subtracting 34 from both sides. This helps us try to get x by itself

5x+34 = 24

     -34     -34

5x = -10

Now we just divide both sides by 5 to get rid of it entirely from the x

5x = -10

/5      /5

x = -2

Your number should be -2

We can also check by plugging -2 back into the equation for x

5 (-2) +34 = 24

-10 +34 = 24

24 = 24

Since they are both equal, -2 is really your answer

I hope this helps :)

Answer:

16%

Step-by-step explanation:

Commission = Rate of commission * Total sales

So, Rate of commission = Commission/Total sales

x = Rate of commission

x = 480/3000

x = 0.16

x as percentage = 0.16 * 100

x as percentage = 16%