Given the following data from a sample find the sample standard deviation. 5, 16, 24, 15, 2, 8

Answer: 2 kg

Step-by-step explanation:

The modal, or the mode, is the number that occurs most. 2 shows up three times, so 2 is the modal weight.

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Have a good day! I hope this was helpful.

Answers:

a = -2

b = -1

==========================================

Explanation:

The first piece 5 must match up with the ax+b when x = -2, or else the function wouldn't be continuous at this junction.

Plug in x = -2 and set the result equal to 5

We end up with -2a+b = 5

Solving for b gets us b = 5+2a

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The middle piece ax+b must also equal the third piece -5 when x = 3 to ensure the second junction is continuous.

This leads us to the equation 3a+b = -5

Apply substitution and solve for 'a'

3a+b = -5

3a+5+2a = -5

5a+5 = -5

5a = -5-5

5a = -10

a = -10/5

a = -2 is one of the answers

Then use this to find b

b = 5+2a

b = 5+2(-2)

b = 5-4

b = -1 is the other answer

Answer:

Juanita must work 3 hours and above to be able to buy new shoes.

Step-by-step explanation:

Initially, Juanita has $25 and make $11 per hour

meaning, Juanita's new cash in hand after t hours is;

[tex]\tt C=25+11t[/tex]

Juanita needs at least $58 to buy new shoes;

meaning, the minimum cash Juanita should have should be $58 and above.

Simply put,

[tex]\tt C\geq 58[/tex]

[tex]---> \tt 25+11t\geq 58[/tex]

[tex]\tt --->11t\geq 58-25[/tex]

[tex]---> \tt 11t\geq 33[/tex]

[tex]----> \tt t\geq \frac{33}{11}[/tex]

[tex]---> \tt t>3[/tex]

The solution reveals that Juanita must work 3 hours and above to be able to buy new shoes.

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-Nature-

Answer:

10.99

Step-by-step explanation:

I JUST HAD THAT AND GOT IT RIGHT TRUST ME NOW GIVE ME BRAINLY I SWEARRR

Answer:

4 cm

Step-by-step explanation:

1/8·n = 1/2

multiply each side by 8/1

n = 8/2 or 4

The length on the map that represents 1 meter in real is 4 centimeters.

A ratio shows us the number of times a number contains another number.

Given that Each 1/2 centimeter on a map represents an actual length of 1/8 of a meter. Therefore, the ratio can be written as,

Length on Map / Actual Length = (1/2) centimeters / (1/8) meters

Length on Map / Actual Length = 4 centimeters per meters

Now, the length on the map that represents 1 meter in real is,

Length on Map / Actual Length = 4 centimeters per meters

Length on Map / 1 meter = 4 centimeters / 1 meters

Length on Map = 4 centimeters

Hence, the length on the map that represents 1 meter in real is 4 centimeters.

Learn more about Ratios here:

https://brainly.com/question/1504221

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Answer:

34

Step-by-step explanation:

Angle A and B are complementary which means they both add up to 90 degrees. Angle A is x+22 while angle B is only x. If we add both together, we can call angle A+B to be 2x+22. We can rewrite this as 2x+22=90. Take the 22 over to the other side and its sign changes so it is now 2x=90-22. 90-22=68 so now we have 2x=68. To isolate the x divide both sides by 2 which gives us x=34.

Answer:

on the third column it should be tens and not ones.good job so far tho!

Answer:

5% chance

Step-by-step explanation:

devide how many students the teacher will choose from the amount of students there is to choose from:

1 / 20 = 0.05

then multiply by 100 to get the amount expressed in percentage:

.05 * 100 = 5%

the result:

Jo has 5% chance of winning.

Answer:

5

Step-by-step explanation:

tan(0) = sin(0)/cos(0) = 5sqrt(26)/(26)/sqrt(26)/26

Cancel the common factor which is sqrt(26)

tan(0) = sin(0)/cos(0) = 5/26 * 26

Cancel common factor again which is 26 here

tan(0) = sin(0)/cos(0) = 5

Answer:

-48.6

Step-by-step explanation:

Hi!

I can help you with joy!

Remember that

* Zeros in the beginning of decimals are not significant figures.

For example, 0.021 has only 2 significant figures: 2 and 1.

* Zeros in the end of decimals are significant.

For example, 2.100 has 4 significant digits.

Now, let's round 0.02852 to 3 significant digits.

Right now it has 4.

Recall the Rounding Rules:

[tex]\text{5 is followed by a number less than 5, so we round down.}[/tex]

[tex]\text{0.02852 Round down: 0.0285 (Answer)}[/tex]

Hope it helps!

Enjoy your day!

Answered by

~Silent~

Answer:

Each person gets 1/2 a candy bar

Step-by-step explanation:

Since 30 people are going to share 15 candy bars. We can split up the candy bars to ensure everyone gets an equal piece. We do so by putting 15/30 as a fraction, which is equivalent to 1/2.

to get the slope of any straight line we only need two points off of it, hmmm let's use the points in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{4}{2}\implies 2[/tex]

Answer:

<DEF = 107

Step-by-step explanation:

The way to best solve this problem is by starting with angle F. Remember that all angles in a straight line must add up to 180. So by subtracting 135 from 180 we get 45 for angle F.

180 - 135 = 45

After that, we can figure out the measure of <DEF. All the angles of a triangle must add up to 180. So:

180 - 28 - 45 = 107

Making the answer 107 for the measure of <DEF

Answer: y=2/(x-1)

Step-by-step explanation:

We can tell this is a rational function that looks somewhat like y=1/x, execpt that the asymptote is at x=1, not x=0. This means we have y=k/(x-1), where k is a constant.

Substituting in the coordinates of a point on the graph, say (0, -2), we get that -2=k/-1, meaning k=2.

So y=2/(x-1).

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] ÷ 4 = [tex]\frac{1}{3}[/tex] x [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{12}[/tex]

When you have a fraction divide a number, you need to multiple it's reciprocal

Answer: 1/12

Step-by-step explanation:

1/3 x 1/4= 1/12

4/1 is flipped when switching from division ton multiplication

Answer:

20 + 4 = m             92 - 5 = m

Step-by-step explanation:

due the the fact that theres no number for how meny months there are

[tex] \\ [/tex]

What is the length and area of a rectangle whose perimeter is 24 cm and the breadth is 4 cm?

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

❁We know:-

Perimeter of rectangle =2 ( Length + Breadth )

[tex] \\ [/tex]

By using this formula we can find length of rectangle

[tex] \\ [/tex]

So:-

↣ Perimeter of rectangle =2 ( Length + Breadth )

[tex] \\ [/tex]

↣ 24 =2 ( Length + 4 )

[tex] \\ [/tex]

↣24 = 2(Length) + 2(4)

[tex] \\ [/tex]

↣24 = 2(Length) + 2 × 4

[tex] \\ [/tex]

↣24 = 2(Length) + 8

[tex] \\ [/tex]

↣24 - 8 = 2(Length)

[tex] \\ [/tex]

↣ 16 = 2(Length)

[tex] \\ [/tex]

↣2(Length) = 16

[tex] \\ [/tex]

↣ Length = 16/2

[tex] \\ [/tex]

↣ Length = 8 cm

[tex] \\ [/tex]

Now Finally Let's find area :-

[tex] \\ [/tex]

❁We know:-

Area of rectangle = Length × Breadth

[tex] \\ [/tex]

So:-

⇢Area of rectangle = Length × Breadth

[tex] \\ [/tex]

⇢Area of rectangle = 4 × 8

[tex] \\ [/tex]

⇢Area of rectangle = 32 cm²

Step-by-step explanation:

let T be the top of the ladder

let F be the foot of the ladder

let B be the base of the wall

you need to find the distance between the foot of the ladder and the base of the wall, in other words the distance of the 'ground' ( refer to the diagram).

you are given that the hypotenuse - H is 3 m and that the opposite - O ( wall ) is 2.8 m.

i) find the angle

given

H, O → use SOH, sin.

sin x = opp. /hyp.

sin x = 2.8 / 3

x = sin-1 ( 2.8/ 3)

x = 68.960...

x = 70.0 ° ( 3 s.f)

ii) use either tan or cos to find the adjacent (wall)

using TOA, tan:

tan ( 68.96) = 2.8/ adj.

2.8 / adj. = tan (68.96)

adj. × tan (68.96) = 2.8

adj = 2.8/ tan (68.96)

adj = 1.0770...

adj. = 1.08 ( 3 sf)

base = 1.08 m

or you could rather simply work this out using Pythagoras Theorem:

where hyp. is c², the base is b² and height is a²;

c² = a² + b²

b² = c² - a²

b² = (3)² - (2.8)²

b² = 1.16

b = √1.16

b = 1.0770

b = 1. 08 m ( 3sf)

you can give your answer to 3 sf or 2 sf.

hope this helps you!

-s.

Answer:

there are 18 Adults 18 Teenagers and 20 small children

Answer:

6(3x-1)

Step-by-step explanation:

They both have a common factor of 6

So divide 6 and take it out to give:

6(3x-1)

Answer:

W is 9

Step-by-step explanation:

18+4w=6w

   -4w-4w

18=2w

/2 /2

w=9

Answer:

w = 9

Step-by-step explanation:

18+4w=6w

Rearrange terms

4w + 18 = 6w

Subtract 18 from both sides of the equation

4w+18-18=6w-18

Simplify

4w = 6w-18

Subtract 6w from both sides of the equation

4w-6w=6w-18-6w

Simplify

-2w=-18

Divide both sides of the equation by the same term

-2w/-2=-18/-2

w = 9

[RevyBreeze]

Answer:

She will need to buy 3 more boxes of candies.

Step-by-step explanation:

72-45=27

27/9= 3

Let number be x

[tex] \leadsto \sf {x}^{2} + 2 = 227[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x}^{2} = 227 - 2[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x}^{2} = 225[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x} = \sqrt{225} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x} = \sqrt{15 \times 15} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x} = 15[/tex]

Number = 15

Answer:

x= 96

Step-by-step explanation:

an triangles angles always add up to 180 so 44+40 equals 84 and 180-84= 96.

Answer:

3 degrees and 87 degrees

Step-by-step explanation:

If the angle is x, its complement is (90-x).

This means that x+84=90-x.

2x=6

x=3.

So the measures are 3 degrees and 90-3=87 degrees