Work out the mean for the data set below: 3 , 5 , 4 , 3 , 5

Answers

Answer 1

Answer:

4

Step-by-step explanation:

The mean is the average of the numbers.

if you rearrange the data, you will get the order, 3,3,4,5,5.

you add all of them together to get the number twenty, then you divide 20 by the total number of data plots which is five. Then you get the number 4 which is your answer

3+3+4+5+5 = 20

20/5 = 4


Related Questions

How are evidence and counterexamples used in proofs . In a direct proof evidence is used to blank .on the other hand a counterexample is a single example that blank

Answers

Evidence is used in proofs to support a claim.

What is an evidence?

It should be noted that evidence simply means a claim that's is used to support a proposition that's it's true.

In this case, evidence is used in proofs to support a claim. On the other hand, counterexample is used to disprove a theory.

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Lee is staying at a hotel. The cost of the first night is $240. The cost for each night after that is $210. Let y represent the total cost of staying at the hotel for x nights. Which type of sequence does the situation represent

Answers

A) The situation represents an arithmetic sequence because the successive y-values have a common difference of 210.

F(1) = 240 +210

F(2) = 240 +2(210)

F(3) = 240+3(210)

.

.

.

.

F(x)= 240 +210x.

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help me please i dont understand
20 points

Answers

Answer:

50 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a trapezoid: [tex]\frac{a+b}{2} h[/tex]

[tex]\frac{a+b}{2} h[/tex]

= [tex]\frac{14+6}{2} (5)[/tex]

= [tex]\frac{20}{2} (5)[/tex]

= [tex]10(5)[/tex]

= 50 sq. cm

What is the answer to this pythagoras question?

Answers

The length of the segment AB will be equal to 9.848 units.

What is the Pythagorean theorem?

It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

The length of segment AB will be calculated as:-

Points are A(1,7) and B(10,3)

AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

AB = [tex]\sqrt{(10-1)^2+(3-7)^2}[/tex]

AB = √(81+16)

AB = √97

AB = 9.848

Therefore the length of the segment AB will be equal to 9.848 units.

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Which rectangular equation represents the parametric equations x = t²-4 and y = 2t?
Oy = 2(x² + 4)
* y = 2(x² - 4)
Oy = 2√x+4
O y = 2√√x-4

Answers

Answer:

[tex]\displaystyle{y=2\sqrt{x+4}}[/tex]

Step-by-step explanation:

We are given parametric equations of:

[tex]\displaystyle{x=t^2-4}[/tex] and [tex]\displaystyle{y=2t}[/tex]

Isolate t-variable in [tex]\displaystyle{x=t^2-4}[/tex] first by adding both sides by 4:

[tex]\displaystyle{x+4=t^2-4+4}\\\\\displaystyle{x+4=t^2}[/tex]

Square root both sides then write plus-minus:

[tex]\displaystyle{\sqrt{x+4}=\sqrt{t^2}}\\\\\displaystyle{t=\pm \sqrt{x+4}}[/tex]

Since the choice determines y-term as a function and only positive t-value exists, substitute only [tex]\displaystyle{t=\sqrt{x+4}}[/tex] in [tex]\displaystyle{y=2t}[/tex].

Therefore, the answer is [tex]\displaystyle{y=2\sqrt{x+4}}[/tex]

Answer:

c

Step-by-step explanation:

A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-
quarter of the second number and 5. The situation can be represented by using the graph below, where x
represents the second number.
16-
14-
12
10
8
-22-
8 10 12 14 16 x
Which equations represent the situation?

Answers

The equation that represents the situation are x = 1/2 y + 3 and x = 1/4y + 5

System of equation

Let the first number be x and the second number be y.  If a number is equal to the sum of half a second number and 3, this is expressed as;

x = 1/2 y + 3

For the second equation;

The first number is equal to the sum of one- quarter of the second number and 5

x = 1/4y + 5

Hence the equation that represents the situation are x = 1/2 y + 3 and x = 1/4y + 5

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can someone help me with this? I’ll mark you brainliest

Answers

The point (0, 0) lies in the shaded region and satisfies the solution for the inequality y ≥ 3x - 2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the inequality y ≥ 3x - 2, since the point (0, 0) lies on the shaded region, hence:

0 ≥ 3(0) - 2

0 ≥ -2

The point (0, 0) satisfies the solution for the inequality y ≥ 3x - 2

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What is the value of this subject when a =2 and b= -3?
a^3-b^3/5

Answers

Answer:

7

Step-by-step explanation:

a^3 = 2^3 = 8

b^3 = -3^3 = -27

(8 - (-27))/5= (8+27)/5 =35/5=7

30 mi / h = ____ ft / min
a.
2640
c.
880
b.
264
d.
2112

Answers

the answer is a. 2640

Answer:

A. 2640

Step-by-step explanation:

44 feet per second 30 miles per hour is 2640 feet per minute

Need asap pls correct answer

Answers

Answer: B. G(x) = (x-5)^2

Step-by-step explanation:

This will shift the graph 5 units right

How many outfits can be made with 40 shirts and 15 pairs of pants

Answers

Answer:

600

Step-by-step explanation:

So I'm assuming an outfit is considered one shirt, and one pair of pants... But anyways, this can be expressed in a graph. So for each shirt, there are going to be 15 possible pants you can chose. And this goes for each shirt. So in other words you're simply adding up 15, 40 amount of times. Or 15 * 40, which is 600. I attached an image that illustrates this graph. You can also think of it in terms of choosing one of 15 pants and then for each pant, there are 40 possible shirts to choose from. This is essentially adding up 40, 15 times, or in other words 40 * 15, which is going to get you the same result. But in my diagram I used it in terms of choosing a shirt first.

Answer:

600

Step-by-step explanation:

Pair 1 of pants goes with 40 shirts

Pair 2 of pants goes with 40 shirts

Pair 3 of pants goes with 40 shirts

Pair 4 of pants goes with 40 shirts

Pair 5 of pants goes with 40 shirts

Pair 6 of pants goes with 40 shirts

Pair 7 of pants goes with 40 shirts

Pair 8 of pants goes with 40 shirts

Pair 9 of pants goes with 40 shirts

Pair 10 of pants goes with 40 shirts

Pair 11 of pants goes with 40 shirts

Pair 12 of pants goes with 40 shirts

Pair 13 of pants goes with 40 shirts

Pair 14 of pants goes with 40 shirts

Pair 15 of pants goes with 40 shirts

Add up everything (not including the 1,2,3,4,5,...14,15 pairs of pants because each pair of pants goes with 40 different shirts so u just add up all the 40's)  and you would get 600 outfits.

Another simple way of doing this would just be multiplying 40x15

What is the least amount of integers you must pick in order to be sure that at least two of them have the same remainder when divided by 15

Answers

There are exactly 15 remainders modulo 15 and they are 0,1,2,…,14.

It is given that at least two of them should have the same remainder when divided by 15.

Division algorithm.

Let aa be an integer and d a positive integer. Then there are unique integers q and r with [tex]0\leq r < d[/tex] such that [tex]a=dq+r[/tex]

q is called the quotient and r is called the remainder

q=a div d

r=a mod d

Pigeonhole principle If k is a positive integer and k+1or more objects are placed into k boxes, then there is at least one box containing two or more objects.

Hence, there are exactly 15 remainders modulo 15 and they are 0,1,2,…,14.

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jacqueline works on math 7/12 hours everyday . how many hours did she work on math after 24 day

Answers

Answer:

14

Step-by-step explanation:

24/12=2

(2)7=14 hours

Find ST. Help me please. Thank you :)

Answers

The value of ST is 3

How to solve for ST?

The given parameters are:

RT = 8

RS = 5

To calculate ST, we make use of the following straight line theorem

RT = RS + ST

This gives

8 = 5 + ST

Subtract 5 from both sides

ST = 3

Hence, the value of ST is 3

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Find the length of the hypotenuse on the following right triangle.

Answers

Answer:

Step-by-step explanation:

For the regular hexagon below, if BC = 9 m and AP = 8 m, find it's area.

Answers

It would be c I think I’m a little rusty so in anyone else’s answer correct me if I’m wrong

Can someone help me with this please?

Answers

Answer: 14.79

Step-by-step explanation:

[tex]\frac{b}{\sin B}=\frac{a}{\sin A}\\\\a=\frac{b \sin A}{\sin B}\\\\a=\frac{23 \sin 40^{\circ}}{\sin 88^{\circ}}\\\\a \approx 14.79[/tex]

Find the length of line segments (4,6) and (5,2)

Answers

Answer: [tex]\displaystyle d=\sqrt{1 7}\;\text{or about 4.123 units}[/tex]

Step-by-step explanation:

     We can use the distance formula to solve. Let (4, 6) be point one and (5, 2) be point two.

     [tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

     [tex]\displaystyle d=\sqrt{(5-4)^2 +(2-6)^2}[/tex]

     [tex]\displaystyle d=\sqrt{(1)^2 +(-4)^2}[/tex]

     [tex]\displaystyle d=\sqrt{1 +16}[/tex]

     [tex]\displaystyle d=\sqrt{1 7}[/tex]

The values of x and y vary directly and one pair of values are given. Write an equation that relates x and y.

x=2, y=5

Answers

The equation that relates x and y is y = 2.5x.

How to solve variation?

The values of x and y vary directly. Therefore,

y α x

where

x and y are the variable.

Hence,

y = kx

where

k = constant of proportionality.

Therefore,

x = 2

y = 5

5 = 2k

k = 5 / 2

k = 2.5

Hence, the equation that relates x and y are as follows;

y = 2.5x

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Analyze the diagram below.

Which statements regarding the diagram are correct? Check all that apply.
ST ≅ ST by the reflexive property.
∠RWS ≅ ∠UWT because they are vertical angles.
△RWS ≅ △UWT by AAS.
△RST ≅ △UST by SAS.
∠WTU ≅ ∠WSR because CPCTC.

Answers

Based on the relevant congruent theorems, all of the statements are correct except: D. △RST ≅ △UST by SAS.

What is the AAS Congruence Theorem?

Two triangles that have two pairs of corresponding congruent angles and a pair of corresponding non-included congruence angles are proven to be congruent by the AAS congruence theorem.

Thus, △RWS ≅ △UWT by AAS because they have two pairs of corresponding congruent angles and a pair of corresponding non-included congruence angles.

△RST cannot be proven to be congruent to △UST by SAS because there is no sufficient information.

Based on the reflexive property, ST ≅ ST. Also, using the CPCTC, all parts of the two congruent triangles are equal, therefore, ∠WTU ≅ ∠WSR.

The only statement that is incorrect is: D. △RST ≅ △UST by SAS.

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Answer:

A, B, C and E

Step-by-step explanation:


A cube shaped suitcase has a length of 3x + 2 units. What is an expression for its area of the
base?

Answers

Answer:

[tex]\huge\boxed{\sf 9x^2+12x+4 \ units^2}[/tex]

Step-by-step explanation:

Given that,

Length of cube = l = 3x + 2 units

Base Area:

[tex]= l \times l\\\\= (3x+2)(3x+2)\\\\= 3x(3x+2)+2(3x+2)\\\\= 9x^2+6x+6x+4\\\\= 9x^2+12x+4 \ units^2\\\\\rule[225]{225}{2}[/tex]

2x - 5y = 2
3x + 2y = -16

Answers

Answer:

(-4,-2)

Step-by-step explanation:

Isolate x:

2x - 5y = 2

2x = 5y + 2

x = 5/2y + 1

Substitute and solve for y:

3(5/2y + 1) + 2y = -16

15/2y + 3 + 2y = -16

7.5y + 2y = -16 - 3

9.5y = -19

y = -2

Substitute and solve for x:

2x - 5y = 2

2x - 5(-2) = 2

2x + 10 = 2

2x = -8

x = -4

Jon, Dave, and Kevin collected rocks at the beach. Each boy collected 25 rocks. How many rocks did the boys collect in all?​

Answers

By taking the product between the number of boys and the number of rocks that each gets, we conclude that they collected 75 rocks.

How many rocks did the boys collect in all?​

We know that there are 3 boys, and each boy collected 25 rocks.

If we take the product between the number of boys and the number of rocks that each boy collected, we get:

R = 3*25 rocks = 75 rocks.

We conclude that the boys collected 75 rocks in total.

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Determine the equation, in vertex form, of a parabola that has been:

(a) reflected in the x-axis and horizontally shifted right 4 units.

(b) vertically compressed by a factor of 1/4 and vertically translated 5 units down

(c) vertically stretched by a factor of 4, translated 3 units left and 2 units up

Answers

Answer:

[tex]a)\ y=-(x-5)^2;\\b)\ y=4x^2-5;\\c)\ (y-2)^2=4*(x+3).[/tex]

Good luck!


what is the answer?
please help

Answers

Answer:

Slope = 1/3

Step-by-step explanation:

Slope:Pick any two points. (-1,-2) ;  (2,-1)

  [tex]\sf \ x_1=-1 ; \ y_1=-2\\\\ x_2 = 2 ; \ y_2=-1[/tex]

 Find the slope using the formula.

      [tex]\sf \boxed{\bf \ Slope =\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

                  [tex]\sf = \dfrac{-1-[-2]}{2-[-1]}\\\\ =\dfrac{-1+2}{2+1}\\\\= \dfrac{1}{3}[/tex]

(Round answers to
the nearest hundredth.)

Answers

Answer:

28.31

Step-by-step explanation:

So in this case you're going to need to use the law of sines which essentially states that: [tex]\frac{a}{sinA}=\frac{b}{sinB}[/tex] which should apply to any of the sides. the lowercase a and b are the opposite sides of the angles A and B. In this example the angle A is given and C is given, but not in the text. Since you have the right angle thing in the diagram, angle C is a right angle (90 degrees).

Given information:

[tex]\angle A = 32\\a=15\\\angle C = 90 \text{(the right angle symbol in the diagram of the triangle)}[/tex]

Law of sines equation:

[tex]\frac{a}{sinA}=\frac{b}{sinB} \text{ can be applied to any two sides }[/tex]

Plug in known information:

[tex]\frac{15}{sin(32)}=\frac{c}{sin (90)}[/tex]

since sin(90) = 1, simplify the fraction

[tex]\frac{15}{sin(32)} = c[/tex]

Calculate sin(32)

[tex]\frac{15}{0.530}\approx c[/tex]

Divide

[tex]28.306\approx c[/tex]

If you haven't learned law of sines yet and don't quite understand why it works you can also use the definition of tan to find what b equals and then use the Pythagorean Theorem to solve for c

tan is defined as: [tex]\frac{opposite}{adjacent}[/tex]

[tex]tan(32)=\frac{15}{b}[/tex]

now multiply both sides by b

[tex]b * tan(32)=15[/tex]

Divide both sides by tan 32

[tex]b = \frac{15}{tan(32)}[/tex]

[tex]b\approx 24.005[/tex]

Now use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]

[tex](24.005)^2+15^2=c^2\\[/tex]

Square known values

[tex]576.241+225=c^2[/tex]

Add the values

[tex]801.241 = c^2[/tex]

take the square root of both sides

[tex]28.306\approx c[/tex]

Rounding to the nearest hundredth gives you 28.31


A telegraph pole stands on a line joining two points P and Q on the ground.
The telegraph pole is 9 m tall. The angle of depression of the top of the pole to point P
is 4°. The angle of depression of the top of the pole to point Q is 7º. What is the
horizontal distance between P and Q.

Answers

Step-by-step explanation:

let's call the top of the pole T, and the ground point of the pole G.

so, the situation gives us 2 right-angled triangles:

PTG and QTB.

from both triangles we know one leg (TG, the pole = 9 m), the inner angles at G (90° in both cases), and actually the inner angles at T, because we know the angles of depression there.

the inner triangle angles at T are just the complementary angles of the angles of depression (that means they add up together to 90°).

the inner angle at PTG = 90 - 4 = 86°

the inner angle at QTG = 90 - 7 = 83°

and because the sum of all angles in a triangle is always 180°, we even know the third angles at P and Q :

angle P = 180 - 90 - 86 = 4°

angle Q = 180 - 90 - 83 = 7°

yes, they are the same as the angles of depression (must be the same).

so, we know from both triangles 1 side and all 3 angles.

with the law of sine we can get every missing side.

particularly we need the second legs (sides in the ground) to get the distance between both points.

a/sin(A) = b/sin(B) = c/sin(C)

a, b, c being the sides always opposite of their related angles.

TG/sin(4) = PG/sin(86)

PG = 9×sin(86)/sin(4) = 128.7059963... m

TG/sin(7) = QG/sin(83)

QG = 9×sin(83)/sin(7) = 73.29911785... m

the distance between P and Q can have now 2 solutions :

if P and Q are on different sides of the pole, then

PQ = 128.7059963... + 73.29911785... = 202.0051142... m

but if they are on the same side of the pole, then their distance is

PQ = 128.7059963... - 73.29911785... = 55.40687846... m

due to the phrasing of the first sentence I suspect the first solution to be right.

but just in case, I gave you also the second possible solution.

Miguel plans on retiring in 16 years, and he wants to double his money by that time. He's contacted various banks, looking for a CD that compounds interest monthly, and to calculate what annual interest rate he needs, he is using the rule of 72. (3 points: Part I – 1 point; Part II – 1 point; Part III – 1 point)

Part I: What is the rule of 72? To represent the annual interest rate, use r.








Part II: What equation can Miguel set up to solve for the annual interest rate he needs to double his money by the time he retires?








Part III: What annual interest rate does Miguel need to double his money by the time he retires?

Answers

The rule of 72 is a rule of thumb that is used to determine the doubling time for an investment given the annual interest rate.

The equation Miguel needs to set up is r = 72/16.

The interest rate is 4.5%.

What is the rule of 72?

The rule of 72 is used to determine the time it would take an investment to double in value. The doubling time is determined by dividing 72 by the interest rate.

Number of years it would take an investment to double = 72 / interest rate

n = 72 / r

r = 72 / n

72 / 16 = 4.5%

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answer pleaseeeeeeeeeeeeeee

Answers

Answer:

A. Square

Step-by-step explanation:

Hope this helps!

Please mark brainliest! Thanks!

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?

9.6, –4.8, 2.4, –1.2, 0.6, ...

f(n + 1) = (–0.5)f(n)
f(n + 1) = (0.5)f(n)
f(n + 1) = f(0.5n)
f(n + 1) = f(–0.5n)

Answers

Answer: f(n + 1) = (–0.5)f(n)

Step-by-step explanation:

This is a geometric series with common ratio -0.5.

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