What is the probability of flipping a coin 7 times and getting heads 5 times? Round your answer to the nearest tenth of a percent.

Answer:

complement angle = 52 + 38 = 90°

supplement angle = 47 + 133 = 180°

Step-by-step explanation:

[tex]here \: is \: your \: solution \: \\ measure \: of \: one \: angle \: = 52 \\ let \: the \: other \: angle \: be = x \\ \\ x \: + 52 \: = 90 \\ x \: = \: 90 - 52 \\ x \: = 38 \\ now \: second \: question \\ x + 47 = 180 \\ x = 180 - 47 \\ x = 133 \\ hope \: it \: helps[/tex]

Answer:

The gradient of the line segment between the two points is -1

Step-by-step explanation:

The gradient of the line segment between two points is also known as the slope,

We  can find this by using the formula; y₂ - y₁ /  x₂ - x₁

The points given to us are;(-1,2) and (-2,3).

This implies x₁ = -1  ,     y₁=2         x₂ =  -2        y₂= 3

We can now proceed to insert our values into the formula;

Gradient = y₂ - y₁ /  x₂ - x₁

               = 3 - 2  /  -2-(-1)

                = 1  /  -2 + 1

                 =1/-1

Gradient = -1

Therefore the gradient of the line segment between the two points is -1

Heyy I'm the person who helped you with the test. Anyway I disagree with the person who answered on top. The correct answer is -5/2!

Answer:

x²+8x+16=24

Step-by-step explanation:

x²+8x=7 (+16)

x²+8x+16=7+16=24

(x+4)²=24

The values to be entered in the boxes are 16 and 23.

Given the equation is [tex]x^2[/tex]+8x=7

To complete the square for the equation [tex]x^2[/tex] + 8x = 7, we need to add a constant term on both sides of the equation to create a perfect square trinomial on the left side.

First, take half of the coefficient of the x-term (8) and square it:

[tex](8/2)^2[/tex] = 16

Now, add 16 to both sides of the equation:

[tex]x^2[/tex] + 8x + 16 = 7 + 16

Simplifying:

[tex]x^2[/tex] + 8x + 16 = 23

Therefore, the equivalent number sentence after completing the square is [tex]x^2[/tex] + 8x + 16 = 23

The values to be entered in the boxes are 16 and 23.

Hence, [tex]x^2[/tex] + 8x + 16 = 23.

Learn more about completing the square in quadratic equations, click here:

https://brainly.com/question/12014272

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Answer:

It depends how many points you already have

Step-by-step explanation:

how much are the essays worth? i might be able to get your final score if you tell me

Answer:

210.82

Step-by-step explanation:

arc length= 2pi r (Ø/360)

= 2x 3.14 x 47(257/360)=210.82

Answer:

A) 0.421

Step-by-step explanation:

[tex]\frac{59}{59+68+12+1} =\frac{59}{140}[/tex]

[tex]Answer:0.421[/tex]

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hope it helps...

have a great day!!

Answer:

r > 7 (C)

Step-by-step explanation:

3r−7>14

Step 1: Add 7 to both sides.

3r−7+7>14+7

3r>21

Step 2: Divide both sides by 3.

3r

3

>

21

3

r>7

Hope this helps and makes sense!! Good luck and have a wonderful day! <33

Imagine this < as a alligater and itś eating the greater number!!

Answer:

C.) r ≥ 7

Step-by-step explanation:

1. Add 7 to each side to cancel it out and keep the sign the way it is to avoid confusion

3r - 7 ≥ 14

   + 7    +7

3r ≥ 21

2. Divide each side by 3 to get the variable alone

3r/3 = r

21/3 = 7

r ≥ 7

This means r is greater than or equal to 7, and it can also be written as 7 ≤ r

B 55.8)

nearest tenth associated ground elevation 10- stretched road and car = elevated protation. which is equivalent to 45 ( 0.08 added from the elevation plus the 10 = 55.8

Answer:

[tex]x^2+ 18x -130=0[/tex]

Step-by-step explanation:

Given

See attachment for diagram

Required

The equation to find x

First, calculate the area of the big rectangle using:

[tex]Area = Length * Width[/tex]

So:

[tex]A_1 = (x + 6) * (3x - 2)[/tex]

The smaller rectangle

[tex]A_2 = (x - 1) * (2x)[/tex]

The difference between this areas give the area of the shaded region.

So:

[tex]A_1 - A_1 = 118[/tex]

[tex](x+6)*(3x-2) - (x-1)*2x = 118[/tex]

Open brackets

[tex]3x^2 - 2x + 18x -12 -2x^2 +2x = 118[/tex]

Collect like terms

[tex]3x^2 -2x^2- 2x +2x+ 18x -12 - 118=0[/tex]

[tex]x^2+ 18x -130=0[/tex]

The above equation can be used to solve for x

Answer:

6 inches

Step-by-step explanation:

Hi there!

[tex]V=lwh[/tex] where l is the length, w is the width and h is the height of a rectangular prism

Plug in the volume (609), length (14.5) and width (7)

[tex]609=(14.5)(7)h\\609=(101.5)h[/tex]

Divide both sides by 101.5 to isolate h

[tex]\frac{609}{101.5} =\frac{101.5h}{101.5} \\6=h[/tex]

Therefore, the height of the shoebox is 6 inches.

I hope this helps!

Answer:

Step-by-step explanation:

Answer:

1.  The volume of the cylinder is approximately 0.153 m³

2. 25 cm

3. [tex]25.\overline 6 \ cm[/tex]

4. 16 m

5. 1,785 m³

Step-by-step explanation:

The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid

1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top

The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m

The area of the circular cross-section, A = π·d²/4

∴ A = π × 0.5²/4 = 0.0625·π

A = 0.0625·π m²

The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m

∴ The volume of the cylinder, V = A × h

∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153

The volume of the cylinder, V ≈ 0.153 m³

2. The given volume of the trapezium, V = 8550 cm³

The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively

The height of the trapezium from the diagram, h = 18 cm

The cross-sectional area of the trapezium, 'A', is found as follows;

A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²

The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium

∴ l = V/A

By substitution, we have;

l = 8550 cm³/(342 cm²) = 25 cm

∴ The Missing Length, l = 25 cm

3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³

The area of the (uniform) cross-section of the solid, A = 15 cm²

∴ The length of the solid, 'l', from V = A × l, is given as follows;

l = V/A

∴ l = 385 cm³/(15 cm²) = 25.[tex]\overline 6[/tex] cm

The length of the solid, l = 25.[tex]\overline 6[/tex] cm

4. From the diagram, we have;

The cross-sectional area of the solid, A = 216 m²

The length of the solid, l = 16 m

5. The cross-section of the solid can  can be assumed to be either;

1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.

2. A triangle located above a rectangle

For scenario one, we have;

The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25

For scenario two, we find 'A' as follows;

A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25

∴ The cross-sectional area of the solid, A = 89.25 m²

The length, 'l', of the solid, is given as l = 20 m

The volume of the solid, V = A × l

∴ V = 89.25 m² × 20 m = 1,785 m³

The volume of the solid, V = 1,785 m³.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

$2 for 1 rose bush and $2 for one shrub

Step-by-step explanation:

32=2x+14y

26=11x+2y

32=2(2)+14(2)

32=4+28

32=32

26=11(2)+2(2)

26=22+4

26=26

Since both equations come out correct the cost of 1 rose bush is 2 dollars and the cost of one shrub is 2 dollars. kinda cool

Answer:

The cost of one rose bush is $2 and the cost of one shrub is $2.

Step-by-step explanation:

Let r represent the cost of 1 rose bush and s the cost of 1 shrub.

Kali's expenditure

2r + 14s = 32

Divide each term by 2

r + 7s = 16 ------ (i)

Kim's expenditure

11r + 2s = 26 ------ (ii)

From equation (i)

r = 16 - 7s

11(16 - 7s) + 2s = 26

176 - 77s + 2s = 26

-75s = 26 - 176

-75s = -150

s = -150/-75 = 2

r = 16 - 7s = 16 - 7(2) = 16 - 14 = 2

The cost of one rose bush is $2 and the cost of one shrub is $2

Answer:

The grapes are more expensive than the green grapes.

Step-by-step explanation:

GRAPES: If you divide $20.72 by 7, to get one bag of grapes instead of seven, you get $2.96/bag.

GREEN GRAPES: If you divide $8.46 by 3, to get one bag of green grapes instead of three, you get $2.82/bag.

$2.82 is less than $2.96, therefore, the grapes are more expensive than the green grapes.

Answer:

first question

5 push-ups a day

second question

50 push-ups

Step-by-step explanation:

First, you must divide 35 divided by 7 because if Cesar does the exact same amount of push-ups a day, you can divide the total number of push-ups by how many days. Which gets you your first answer 5.

Then you multiply the number of days by the number of push-ups Cesar does in a day.

10 x 5 = 50

Answer:

70 - 80 foot per second

Step-by-step explanation:

Multiply the speed value by 1,467

Answer:

612 inches.

Step-by-step explanation:

1 yard = 36 inches.

17 * 36 =

Answer:

612 inches

Step-by-step explanation:

1 yard = 36 inches

17 yards = 36 × 17 = 612 inches

Answer:

C

Step-by-step explanation:

53 + 44 + x = 180

97 +x = 180

x = 83

35 = 4x+3

If they're vertical then they're worth the same or equal. So 4x+3 is equal to 35 and then you solve for x from there.

Answer:

1

Step-by-step explanation:

sike i lied this is so easy pls try pls

Answer:

7. The Puerto Rican Parrot's are the limiting factor in this scenario. 8. Yes because the hurricanes are limiting the Parrots population. 9. Other ways species can be limited because of the weather are either any natural disasters.

Step-by-step explanation:

Hope this helped : )

Answer:

297 cubic inches

Step-by-step explanation:

Given: A cylinder has a volume of 99 cubic inches. A cone has the same height and radius as the cylinder.

To find: The volume of the cone in cubic inches.

Formula: The formula for the volume of a cone is V = [tex]\frac{1}{3}[/tex]hπr².

Solution: Firstly, find out the height and radius of the cylinder

... = 297 cubic inches

Answer:

122.5 cm²

Step-by-step explanation:

a = 21cm

b = 14cm

h = 7cm

Area of given figure(trapezium) = [tex]\frac{a+b}{2} * h[/tex]

= 21 + 14/ 2 * 7

= 35/2 * 7

= 17.5 * 7

= 122.5 cm²