Find the mean and the standard deviation of the data set {5, 8, 1, 2, 10}.

Answer:

14.76 cm

Step-by-step explanation:

Use the pythagorean theorem:

a² + b² = c²

Plug in the side lengths and solve for c:

7² + 13² = c²

49 + 169 = c²

218 = c²

14.76 = c

So, the hypotenuse is approximately 14.76 cm

Answer: 370

Step-by-step explanation:

Answer:

(the volume of the hemisphere has no units, so i will suppose that it is 6m^3)

For a sphere of radius R, the volume is:

V = (4/3)*pi*R^3

Where pi = 3.14

And a hemisphere is half of a sphere, then the volume of a hemisphere of radius R is:

V = (1/2)*(4/3)*pi*R^3

We know that the volume of the hemisphere is 6 m^3, then we have the equation:

6 m^3 = (1/2)*(4/3)*3.14*R^3

Now we can solve this for R.

6 m^3 = 2.1*R^3

∛(6 m^3/2.1) = R = 1.41 m

The radius of the hemisphere is 1.41m

Now we want to find the surface of a sphere with this radius (if the radius is the same, then the diameter is the same)

For a sphere of radius R, the surface is:

S = 4*pi*R^2

Then the surface of this sphere is:

S = 4*3.14*(1.41 m)^2 = 24.971 m^2

Answer:

354294

Step-by-step explanation:

a1 = 6, r = -3

an = a1 * r^n-1 (formula)

a11 = 6 * (-3)^11-1

a11 = 6 * 590949 = 354294

a11 = 354294

Answer: I did the math in my head and I think it’s B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum = 20

Product = 5*20 = 100

Factors = 10 , 10   {10*10 = 100 ; 10+10 = 20}

5x² + 20x + 20 = 5x² + 10x + 10x + 10*2

= 5x(x + 2) + 10(x + 2)

= (x + 2)(5x + 10)

Answer:

-10

Step-by-step explanation:

Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step

6 - 16 = -10

Answer:

-3 - 5= -8

-2 x -8= 16 (2 negatives make a positive when multiplied)

6-16= -10

Answer:

1. Semicircle

2. Arc Length

3. Minor arc

4. Arc Measure

5. Circumference

6. Diameter

7. Radius

Answer:

30 marbles were red

35 marbles were blue

Step-by-step explanation:

turn the percentages into decimals and multiply by total value

0.12•250= 30 red marbles

0.14•250= 35 blue marbles

hope this helps <3

Answer:

The correct answer will be A 6

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

4+5 = 9.

9/2 = 4.5

4.5 * 3 = 13.5

Given:

The system of equations is:

[tex]x+3y=-13[/tex]

[tex]4x+4y=-12[/tex]

To find:

The solution for the given system of equations.

Solution:

We have,

[tex]x+3y=-13[/tex]            ..(i)

[tex]4x+4y=-12[/tex]          ...(ii)

Multiply equation (i) by 4, to make common coefficient of x.

[tex]4x+12y=-52[/tex]            ..(iii)

Subtract (ii) from (iii).

[tex]4x+12y-4x-4y=-52-(-12)[/tex]

[tex]8y=-40[/tex]

[tex]y=\dfrac{-40}{8}[/tex]  

[tex]y=-5[/tex]  

Putting [tex]y=-5[/tex] in (i), we get

[tex]x+3(-5)=-13[/tex]

[tex]x-15=-13[/tex]

[tex]x=-13+15[/tex]

[tex]x=2[/tex]

Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].

Answer:

11699 square centimeters

Step-by-step explanation:

In ΔIJK, j = 800 cm, k = 240 cm and ∠I=173°. Find the area of ΔIJK, to the nearest square centimeter.

When given two sides of a triangle and an angle, the area of the triangle is calculated as:

1/2jksintheta

theta = 173°

Hence:

Area of triangle =

1/2 × 800 × 240 × sin 173

= 11699.456967 square centimeters

Approximately = 11699 square centimeters

Given:

Distance between Lily and Wilder = 810 miles

They drive towards each other with Lily driving at 55 mph and Wilder driving at 80 mph.

To find:

After how many hours will they meet?

Solution:

Lily driving at 55 mph and Wilder driving at 80 mph towards each other. So, the relative speed is:

Relative speed [tex]=(55+80)\text{ mph}[/tex]

                         [tex]=135 \text{ mph}[/tex]

We know that,

[tex]Time=\dfrac{Distance}{Speed}[/tex]

[tex]Time=\dfrac{810}{135}[/tex]

[tex]Time=6[/tex]

Therefore, Lily and Wilder will meet after 6 hours.

Answer:

-5

Step-by-step explanation:

slopes of parallel lines are the same

Answer:

1550 mL

Step-by-step explanation:

Total capacity of water = 4 Litre

4 L = 4 * 1000 mL = 4000 mL

200mL cups filled = 1 ; 200 mL

750mL cups filled = 3 ; 750 * 3 = 2250 mL

Total = (200 + 2250) mL = 2450 mL

Water left in filter :

(4000 - 2450) mL = 1550 mL

Answer:

$2.40

Step-by-step explanation:

36÷15=2.4

since we are talking about money you add a zero.

Hope this helps

Cost of the dog food per pound is $2.4

Cost is the value of money that has been used up to produce something or deliver a service

Cost of 15 pound of dog food = $36

Cost of 1 pound of dog food = [tex]\frac{36}{15}[/tex]= $2.4

Hence, the cost of 1  pound of dog food is $2.4

Learn more about cost here

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Answer:

900

Step-by-step explanation:

Answer:

900 seconds

Step-by-step explanation:

The 5 - number summary :

Min____ Q1 ___ median ____ Q3 ____ max

7 ______ 9 _____ 12 _______ 15 _____ 18

Answer:

Hence, from the 5 number summary, about 75% of sons have fewer than 15 stylist.

Step-by-step explanation:

Explaining the table :

Minimum number of stylist salons have = 7

Maximum number of stylist = 18

Q1 = first quartile, (25 /100) ;About 25% of salons have fewer Than 9 stylist

Q2 = second quartile or median ; About 50% of salons have fewer Than 12 stylist

Q3 gives the 75th percentile value.

Q3 = third quartile (75/100) ; About 75% of salons have fewer Than 15 stylist

Answer: 15 salons would be your answer

Step-by-step explanation:

khan academy said it was right

Answer:

no

Step-by-step explanation:

[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]

The correct relationship between the pair of angles m ∠AXC and m ∠BXC are,

A. They are supplementary angles,

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Measure of angle m ∠AXC and m ∠BXC are,

m ∠AXC = 100 deg.

m ∠BXC = 80 deg.

Hence, We get;

m ∠AXC + m ∠BXC

= 100 + 80

= 180 degree

Thus, The correct relationship between the pair of angles m ∠AXC and m ∠BXC are,

A. They are supplementary angles,

Learn more about the angle visit:;

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Answer:

y = x² + 10

Step-by-step explanation:

Answer: 20%, 17%, 29%, 1.5%

Step-by-step explanation:

Given

The likelihood of rain is given by the inequality

[tex]s<30[/tex] i.e. solution to this inequality is less than 30%

So, among the given values, the following are the solution

20%, 17%, 29%, 1.5%

These values are less than 30%; therefore, they are the solution

Answer:

20%, 17%, 29 1/2%, and 1.5%.

Step-by-step explanation:

good luck on your other work

Answer:

x=3, y=-4

Step-by-step explanation:

3x-7(2x-10)=37

3x-14x+70=37

-11x=37-70

-11x=-33

x=3

y=2(3)-10

y=6-10

y=-4

Answer:

1120 in³

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = area of base × height , then

V = 80 × 14 = 1120 in³