Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78. Her steps for finding the variance are shown below. Variance squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction Variance squared = StartFraction (9) squared minus (32) squared +

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Answer:

Step-by-step explanation:

hello : note 297 no 279

297 =3×99

99 = 3 ×33

33=3×11

this the geometric sequence. ( comon : 3)

the nth term is : An = A1 × r^n     when : r = 3 and A1 =11

if n = 19      A19 = 11×3^19

Answer:

a=b sinα

sinβ=5·sin(22°)

sin(119°)≈2.14154

a=b sinα

sinβ=12·sin(48°)

sin(42°)≈13.32735

Step-by-step explanation:

I think this is correct but i am most likely wrong, Im not that great at math

Answer:

( SOLVE FOR h )

Step-by-step explanation:

THE FORMULA:

a = b [tex]\frac{sin A}{sin B}[/tex]

---------

b = 12

sin a = 48

sin B = 42

--------

12 × [tex]\frac{sin 48}{sin 42}[/tex]

ANSWER =

h = 13.33

----------------------------------------

SOLVE FOR x AND y

I'M NOT SURE.......

x = 2.14

b = 5

Answer:

net loss of 10

Step-by-step explanation:

stop 1 :

13 off

5 on

7 net loss

stop 2 :

3 off

3 net loss

total net loss = 3+10

=10

For Cylinder:

SA = 578.05 yd^3

V = 955.04 yd^3

For Trapezoidal Prism:

SA = 510.4 ft^2

V = 275 ft^3

Cylinder: Second Image

diameter - D

area - A

radius - R

height - H

volume - V

surface area - SA

PI = 3.14159...

R = D/2

R = 8/2

R = 4 yd

Surface Area:

SA = 2×PI×R×H + 2×PI×R^2

SA = 2×(3.14159×4×19) + 2(3.14159×(4)^2)

SA = 578.05 yd^3

Volume:

V = PI×(R^2)×h

V = 3.14159×(4^2) × 19

V= 955.04 yd^3

Trapezoidal Prism: First Image

lateral area - LA

area of base - BA

base - B

width - W

height - H

volume - V

surface area - SA

Volume:

V = BA × H

V =( L×W + 0.5(B×H)) × H

V = (5×7 + 0.5(8×5)) × 5

V = 275 ft^3

Surface area:

Lateral area is the sum of all the areas excluding the area of the base.

LA = a×l + b×l + c×l + d×l

LA = l(a+ b + c + d)

LA = 11(5 + 9.4 + 15 + 7)

LA = 400.4 ft^2

BA = L×W + 0.5(B×H)

BA = 5×7 + 0.5(8×5)

BA = 55 ft^2

SA = 2×BA + LA

SA = 2×55 + 400.4

SA = 510.4 ft^2

Answer: 48

Step-by-step explanation:

Answer:

6x+16

Step-by-step explanation:

Bottom :x

Side1:4x+5

Side2:x+11

perimeter = x+4x+5+x+11

=6x+16

Answer: 39

Step-by-step explanation: formula is bh. 19.5 times 8 is 156. divide by 4 because a package will cover 4 sq ft.

Answer:

39

Step-by-step explanation:

parallelogram area is base x height

A = b x h

A = 19.5 x 8 = 156 ft^2 or square feet

156 divided by 4 = 39

Line CB touches circle A only at one point (point B), hence CB is a tangent.

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

When a line intersects a circle in exactly one point the line is said to be tangent to the circle

Hence since Line CB touches circle A only at one point (point B), hence CB is a tangent.

Find out more on circle at: https://brainly.com/question/24375372

Profit is selling price minus cost price, we assumed that the number of candles sold is 100, then the profit is $550

Note: The question is not complete

Given Data

We have the expression

P (x) = 7.5x - 200

Assuming the number of candles sold is x = 100

P (100) = 7.5*100 - 200

P (100) = 750 - 200

P (100) = $550

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Answer:

45°

360÷8= 45

Mark me brainliest.

Answer:

C) (2, -9) is a solution to the equation.

Step-by-step explanation:

To find if both or one point is the solution to the equation, substitute the x and y-values of both points into the equation to find which one makes a true and correct statement (the answer).

For (2, -9):

[tex]\sf5x - \frac{y}{3} = 13\\\\5(2) - \frac{-9}{3} = 13\\\\10-(-3)=13\\\\10+3=13\\\\ \boxed{13=13}\\\\\ \textsf{This is a true statement}\\\textsf{This means that (2, -9) is a solution to 5x - y/3 = 13}[/tex]

For (3, -6);

[tex]\sf5x - \frac{y}{3} = 13\\\\5(3) - \frac{-6}{3} = 13\\\\15-(-2)=13\\\\15+2=13\\\\ \boxed{17=13}\\\\\ \textsf{This is not a true statement}\\\textsf{This means that (3, -6) is not a solutions to 5x - y/3 = 13}[/tex]

Therefore, the correct answer is C

Hope this helps!

Answer:

Remember the decimal hundredths rounding ruleset.

View this array below to get a better image.

[tex]\left[\begin{array}{ccc}0.49(down)&0.50(up)&0.51(up)\end{array}\right][/tex]

So, for example, if you had 6.51, you would round that up to 7, and if you had 8.47, you would round that to 8

Using the distributive property, it is found that the equivalent expression is:

18c - 30d + 36

It is a property that the outside term multiplies each of the inside terms.

In this problem, the expression is:

6(3c - 5d + 6).

Hence, we apply the property, with the outside term 6 multiplying each of the inside terms, hence the equivalent expression is given by:

6(3c - 5d + 6) = 18c - 30d + 36.

More can be learned about the distributive property at https://brainly.com/question/2807928

Answer:

x=12y + 10 or even just entirely solved... 82=12(6) +10

Step-by-step explanation:

Answer:

ImnotI'm not sure

this is the same im on

Step-by-step explanation:

Answer:

? = 13.6

Step-by-step explanation:

the angle between a tangent and the diameter = 90°

Then the triangle is right with legs 2 × 6 = 12 and 6.4

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the legs , that is

? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )

? = [tex]\sqrt{184.96}[/tex] = 13.6

Answer:

a>=-5

Step-by-step explanation:

when a+5>/=0

a>/=-5 because the if the contents of the absolute value are equal to the same expression in the absolute value if the expression is non negative. So we find the values of a when the expression is nonnegative.

the cost in dollars is $15.84

Answer:

Step-by-step explanation:

The answer is $15.84

Answer:

D, 87 is the answer

Step-by-step explanation:

360 is a full circle so subtract 360 to 273 and its 87 hope this helps! :)

Answer:

d

Step-by-step explanation:

Answer:

The value of q = 985

Step-by-step explanation:

==> 25(q-954)=775

=> q-954 = 775/25

=> q-954 = 31

=> q = 31+ 954

=> q = 985

Answer:

q = 985

Step-by-step explanation:

25 (q-954) = 775

q-954 = 775/25

q = 31 + 954

q = 985

Answer:

x = -4, y = 3

Step-by-step explanation:

1. Substitute 2x + 11 for y:

5x + 2(2x + 11) = -14

2. Simplify:

2(2x) = 4x
4x + 5x = 9x, 2(11) = 22
so,

9x + 22 = -14

3. Isolate x:

9x + 22-22 = -14-22 = 9x -36

9x/9 = -36/9

x = -4

4. Plug in the value of x in to solve for y:

y = 2(-4) + 11

y = 3

hope this helps!

By factorizing the expression, 4x² + 40x - 44, the width of the path (x) is calculated as: 11 meters.

To factorize an expression, such as 4x² + 40x - 44, we need to determine the two factors that will give us -176 when multiplied, and also give us 40 when added.

To find the width of the path, x, we need to factorize 4x² + 40x - 44, using the two factors, 4 and -44.

4x² - 44x + 4x - 44

(4x² - 44x) + (4x - 44)

4x(x - 11) + 4(x - 11)

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

x = 11 or x = -4/4 = -1

The value of the width of the path, x, cannot be negative. Therefore, the width of the path would be: 11 meters.

Learn more about factorization on:

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Answer:

133

Step-by-step explanation:

an = a1 + f × (n-1)

an= 17+4 x (30-1)

an= 17+4 x 29

an= 17+116

an=133

Answer:

ln 559872

Step-by-step explanation:

2 In 6 + 3 In 4 - 5 In (1/3) = ln 6² + ln 4³ - ln (⅓)⁵

= ln 36 + ln 64 - ln 1/243

= ln [(36×64)/(1/243)]

= ln 559872

Answer:

c

Step-by-step explanation:

Answer:

Circumference = 50.24 units

Area = 200.96 units²

Determining the area of the circle:

The formula of finding the area of the circle is π(r)² or π(d/2)².

(Where "r" represents the radius and "d" represents the diameter)

In this case, we are given the diameter. Thus, we will use the formula π(d/2)². Simply substitute the diameter in the formula to determine the area of the circle.

⇒ π(D/2)² = Area of circle

⇒ π(16/2)² = Area of circle

⇒ π(8)² = Area of circle

⇒ π × 64 = Area of circle

[Exact form of pie: 22/7; Approx form of pie: 3.14]

⇒ Area of circle ≈ 3.14 × 64

⇒ Area of circle ≈ 200.96 units²

Determining the circumference of the circle:

The formula of finding the circumference of a circle is 2πr or πd.

(Where "r" is radius and "d" is diameter)

In this case, we are given the diameter. Thus, we will use the formula πd. Simply substitute the diameter in the formula to determine the circumference of the circle.

⇒ πd = Circumference of circle

⇒ π(16) = Circumference of circle

[Exact form of pie: 22/7; Approx form of pie: 3.14]

⇒ (3.14)(16) ≈ Circumference of circle

⇒ 50.24 units ≈ Circumference of circle

Answer:

x = - 11

x + 7 = -4

Step-by-step explanation:

[tex]3(x + 7) = - 12 [/tex]

Multiply each term in parentheses by 3

[tex]3x + 3 \times 7 = - 12[/tex]

Multiply 3 and 7

[tex]3x + 21 = - 12[/tex]

Move the constant to the right side and change the sign

[tex]3x = - 12 - 21[/tex]

Find the sum of negative numbers

[tex]3x = - 33[/tex]

Divide both side by the same number

[tex]x = - 11[/tex]

= x + 7

= -11 + 7

Add the term - 11 + 7

= -4

Hey ! mate

Answer:

Step-by-step explanation:

In this question we have given an equation that is 3( x + 7 ) = -12 and we have asked to find the value of x + 7 and x .

We are starting our solution from here :

[tex] \longmapsto \: 3( x + 7 ) = -12 [/tex]

Transposing 3 to right hand side :

[tex] \longmapsto \: x + 7 = \frac{ - 12}{3} [/tex]

Now , dividing -12 by 3 :

[tex] \longmapsto \: \blue{\boxed{x + 7 = -4}}[/tex]

Now ,

[tex] \longmapsto \:x + 7 = - 4[/tex]

Transposing 7 to right hand side :

[tex] \longmapsto \:x = - 4 - 7[/tex]

[tex] \longmapsto \: \blue{ \boxed{x = - 11}}[/tex]