In a survey, 125 people were asked to chose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 3
.

#1

Put it

[tex]\\ \rm\Rrightarrow p=100000(0.25)^{3}[/tex]

[tex]\\ \rm\Rrightarrow p=100000(0.015625)[/tex]

[tex]\\ \rm\Rrightarrow p=1562.5[/tex]

Now

#2

Let's see

[tex]\\ \rm\Rrightarrow 100000(0.25)^d=1000000[/tex]

[tex]\\ \rm\Rrightarrow 0.25^d=10[/tex]

[tex]\\ \rm\Rrightarrow ln0.25^d=ln10[/tex]

[tex]\\ \rm\Rrightarrow dln0.25=2.3[/tex]

[tex]\\ \rm\Rrightarrow d(-1.39)=2.3[/tex]

[tex]\\ \rm\Rrightarrow d=-1.654[/tex]

Answer:

undefined

Step-by-step explanation:

Given points:  (-8, -3) and (-8, -2)

As the x-value of both points is the same, there is no slope.

Therefore, the line that passes through the two given points is a vertical line at [tex]x=-8[/tex]

[tex]\textsf{let}\:(x_1,y_1)=(-8,-3)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-8,-2)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-(-3)}{-8-(-8)}=\dfrac{1}{0}[/tex]

Any number divided by zero is undefined.

Answer:

Hope this helps =)

Step-by-step explanation:

1. right triangle?

-> c²= g²+b²

c²= 20²+21²

c²= 841

c=V841

c=29

-> triangle BCG is right

2.

cos B= 20/29

tan B= 21/20

sin B= 21/29

sin G= 20/29

cos G= 21/29

tan G= 20/21

Hey there!

60% of 40

= 60% * 40

= 60/100 * 40

= 60 ÷ 20 / 100 ÷ 20 * 40

= 3/5 * 40

= 3/5 * 40/1

= 3(40) / 5(1)

= 120 / 5

= 120 ÷ 5 / 5 ÷ 5

= 24/1

= 24 ÷ 1

= 24

Therefore, your answer is: 24

Good luck on assignment & your day day!

~Amphitrite1040:)

Answer:

18πm

Step-by-step explanation:

The area is πr^, so to find just the radius, take the square root of 81.

This means the radius is 9, and because the formula for the circumference is 2πr, simply double it and multiply by π to get 18π.

If you found this helpful, I would appreciate if you gave me the brainliest award :D

Answer: (2, 4)

Step-by-step explanation:  If it is reflected over the x-axis then the coordinates of A is (2, 4)

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\bf\:x = 4}[/tex]

Step-by-step explanation:

[tex]3 + x = 7[/tex]

Bring 3 to the right hand side of the equation and isolate the variable.

[tex]3 + x = 7\\x = 7 - 3\\\boxed{\bf\:x = 4}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

See below ↓↓↓↓↓

Step-by-step explanation:

= 1 more than a number (a)

= q less than 9

= 3 times y added to 7

= a number (x) divided by 3 more than 9

= 3 times x added to 10

Answer:

Step-by-step explanation:

According to the graph, the function h(x) is the translation of the function f(x) to the right and down.

Compare the coordinates of the vertices to write the formula

The formula is

Answer:

h(x) = f(x - 12) - 4

Step-by-step explanation:

The vertex is the turning point (stationary point or minima/maxima) of the graph.

To find the series of translations that transform the graph of y = f(x) onto y = h(x), compare the vertices of both graphs.

Vertices of given functions:

Differences

Therefore, y = f(x) has been:

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Therefore:

So the formula for h(x) in terms of f(x) is:

h(x) = f(x - 12) - 4

Learn more about transformations here:

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Answer: 400

Step-by-step explanation:

If 5% of a number is 80, just multiply that number by 5 to get 25 (5 x 5 = 25) and you will get 400.

Answer:

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

Step-by-step explanation:

15² = 9² + 12²

225 = 81 + 144

225 = 225

so it is an right angled triangle....

( using : if the sum of the squares of the smaller two sides is equal to the square of the largest side, then the traingle is a right triangle.)

Answer:

101.8 lb

Step-by-step explanation:

1760 sq ft are covered by 40 lb

4480 sq ft are covered by x

1760/40 = 4480/x

1760x = 40 × 4480

x = 179,200/1760

x = 101.818181...

Answer: 101.8 lb

92.6% of 103.93km

Our output value is 103.93.

let's represent the unknown as x.

103.93=100%

Similarly, x=92.6%

103.93= 100% (1)

x= 92.6% (2)

By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of bothequations have the same unit (%); we get:

103.93/x = 100%/ 92.6%

the reciprocal of both sides gives:

x/ 103.92 = 92.6/100

= 96.23918

2 dp= 96.24

so 92.6% of 103.93km is 96.24 when rounded to 2 decimal place.

Answer:

96.24 km

Step-by-step explanation:

To Find :

Solving :

Answer:

[tex]\boxed{{x} > -3}[/tex]

Step-by-step explanation:

Given inequality:

To solve this inequality, we need to isolate the variable on one side and the constant on the other. To do this, we can divide both sides by -5.

[tex]\rightarrowtail -5x < 15[/tex]

[tex]\rightarrowtail \dfrac{-5x}{-5} < \dfrac{15}{-5}[/tex]

[tex]\rightarrowtail x < \dfrac{15}{-5}[/tex]

Note: If we are dividing both sides by a negative integer, the sign changes.

[tex]\rightarrowtail {x} > \dfrac{15}{-5}[/tex]

To simplify 15/-5, we can multiply -1 to the numerators and the denominators. As a result, the negative sign should transfer to the numerator, as when two negative integers multiply each other, the result is a positive integer.

[tex]\rightarrowtail {x} > \dfrac{15}{-5} \times \dfrac{-1}{-1}[/tex]

[tex]\rightarrowtail {x} > \dfrac{-15}{5}[/tex]

[tex]\rightarrowtail \boxed{{x} > -3}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-5x < 15}\\\\\large\text{DIVIDE -5 to BOTH SIDES}\\\\\mathsf{\dfrac{-5x}{-5} < \dfrac{15}{-5}}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x > -3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x > -3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Mean Absolute Deviation (MAD): 1.3125

Mean: 2.5625

Step-by-step explanation:

.

Answer:

y=3x

Step-by-step explanation:

Okay first you need to solve this. Distribute the 3 first to the parantheses and you get y+3=3x+3. Than you subtract 3 and get y=3x. Now you start at 0,0 the origin and go 3 units up and 1 unit to the right. Continue that until a line shows.  Same with the bottom. Go down 3 left one.

Answer:

For #11 it is X≥-2.  For #12 it is X<-1 I think

Step-by-step explanation:

I hope this helps you and please mark me as brainliest

Answer:

14,880: So yes, it will be greater than 12400.

Step-by-step explanation:

Because you can simplify the fraction from 1 1/5 to 6/5, and 6/5 is equal to 1.2, simply multiply 12400 by 1.2, which would get you 14800. In other words, if it was multiplying by a number less than 1.2, then it would be less than 12400.

Hope this helps!

Answer:

197

Step-by-step explanation:

to solve Hypotenuse:

a^2+b^2=c^2

Plug in:

28^2+195^2=c^2

Solve:

784+38025=c^2

38809=c^2

sqrt 38809=sqrt c^2

c=191

I hope it helps!!!

Answer:

151.7 cm^3

Step-by-step explanation:

3.7 x 10 x 4.1 = 151.7

BRAINLIEST? TY!!

Answer:

151.7 cm^3

Step-by-step explanation:

If you didn't know already the volume of a rectangular prism is

length x witdh x height.

Multiply 10x4.1 and you will get 41

Then multiply 41 by 3.7 to get 151.7.

Answer:

9

Step-by-step explanation:

So you would make use of the rules of direct proportion. When A increases B would also increase vice versa, in this case, A would represent the number of days and B would represent the amount of Elf Bread consumed. Let's say that the unknown value would be D. If we place this into a table it would say:

[tex]\left[\begin{array}{ccc}Days&8&12\\Number of loaves&6&D\end{array}\right][/tex]

Next, you'll make use of the cross-multiplication rule.

So 8 X D = 12 X 6

8D = 72

You'll then divide each side by 8.

[tex]\frac{8D}{8}[/tex] = [tex]\frac{72}{8}[/tex]

D = 9

Sam would consume 9 loaves of day for a 12-day trip.

Hope that I've explained this well enough

Answer:

it would be 12.5

Step-by-step explanation:

brainly deleted my answer from before

Answer:

I think the 1st one is the answer

Step-by-step explanation:

if it helpful to you give me a brainliest

Answer:

4.06.

Step-by-step explanation:

Where x = 1.01,  y = (1.01)^4 + 1 = 1.0406 + 1

= 2.0406

So the gradient between (1, 2) and (1.01, 2.0406)

= (2.0406 - 1)/(1.01 - 1)

= 4.06.

Answer:

x = 5

Step-by-step explanation:

Given coordinates: (3, 4) (x, 6)

Slope: 1

Use the slope formula to find the value of x:

Slope = y2 - y1 / x2 - x1

Substitute the given information into the formula:

1 = [tex]\frac{6-4}{x-3}[/tex]

1 = [tex]\frac{2}{x-3}[/tex]

Multiply both sides of the equation by the common denominator:

[tex]\frac{2(x-3)}{x-3} = x-3[/tex]

Reduce the fraction:

2 = x - 3

Rearrange variables to the left side of the equation:

-x = -3 - 2

Calculate:

-x = -5

Divide both sides with the coefficient of the variable:

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 5

Step-by-step explanation:

Slope formula

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf let\:(x_1,y_1)=(3,4)[/tex]

[tex]\sf let\:(x_2,y_2)=(x,6)[/tex]

[tex]\sf \implies slope=\dfrac{6-4}{x-3}=\dfrac{2}{x-3}[/tex]

As the slope equals 1:

[tex]\begin{aligned}\sf \implies \dfrac{2}{x-3} & =1\\\sf 2 & =\sf x-3\\ \sf 2+3 & =\sf x\\ \sf x & = \sf 5\end{aligned}[/tex]

Therefore, x = 5

Answer:

66

Step-by-step explanation:

It's given that

Tn = 5n + 16

The 10th term is

T10 = 5(10) + 16

= 66

The 10th term of the sequence is 66.

In mathematics, a sequence is a list of numbers arranged in a specific order. Each number in the sequence is called a term. Sequences can be finite, meaning they have a specific number of terms, or they can be infinite, continuing indefinitely.

We have the rule: 5n + 16

Now, To find the 10th term of the sequence, we can substitute n = 10 into the given rule:

5n + 16 = 5(10) + 16 = 50 + 16 = 66

Therefore, the 10th term of the sequence is 66.

Learn more about Sequence here:

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Answer:

51.1% to the nearest tenth.

Step-by-step explanation:

Increase = 5.59 - 3.70 = $1.89.

% increase = (1.89/3.70) + 100

= 51.08%