A jar contains 9 marbles marked with the numbers 1 through 9. You pick a marble at random. What is the probability of not picking the marble marked with the number 2? Enter your answer as a simplified fraction. The probability of not picking the marble marked with the number 2 is

Answer:

7/8 as 21/24 and 5/6 as 20/24

Step-by-step explanation:

8: 8, 16, 24, 32, 40

6: 6, 12, 18, 24, 30

7/8 x 3/3 = 21/24

5/6 x 4/4 = 20/24

Answer:

reflected over x axis

Step-by-step explanation:

Answer:

the answer is one over eight

the formula says required outcome divided by sample space

the sample space here is it because we have three coins and the Three coins have two faces each so it becomes 2 x 2 * 2 that is 8 and that is the total sample space we are supposed to get the probability of getting 3 tails and for each coin you have 1/2 x 1/2 x 1/2 and that is 1/8 as your final answer and do probability of getting three tails

Answer:

If a fair coin is flipped 3 times, the probability of getting exactly 3 tails is 1/8

Step-by-step explanation:

1/2 * 1/2 * 1/2 =1/8

Answer:

21/4

Step-by-step explanation:

(5 * 4) + 1

20 + 1

21/4

Answer: 5k^2-7k-4

Step-by-step explanation: substitute (k-1) in for the x's

5(k-1)^2+3(k-1)-6

(k-1) * (k-1) = k^2-2k-1

5(k^2-2k-1) = 5k^2-10k+ 5

then do 3(k-1)-6

3k-3-6 (combine like terms)

3k-9

5k^2-10k+5 +3k-9 (combine like terms again)

5k^2-7k-4

hope this helps (^_^)

Answer:

128

Step-by-step explanation:

1/3base area×height

Answer:

x= 23780. 6. An airplane climbs at an angle of 18° with the ground. Find the ground distance the plane travels as it moves 2500 m through the air.' 2378m. 1. lighthouse .

Step-by-step explanation:

Answer:

Approximately 6.3405 feet

Step-by-step explanation:

Our trigonometric ratio will be tangent in this case, since we are working with the opposite and adjacent sides.

Our equation that we set up will end up being [tex]tan\theta=o/a[/tex]

[tex]tan(26)=x/13[/tex]

[tex]13tan(26)=x[/tex]

[tex]13(0.4877) = x[/tex]

[tex]x=6.3405[/tex]

Answer:

2x + 11 is your answer

Step-by-step explanation:

yeah just 2x + 11

Answer:

2034.72 units²

Step-by-step explanation:

Formula for surface area of a cylinder is:

2πrh + 2πr²

The radius is 12 and the height is 15, so we plug it in:

2π(12·15) + 2π(12)²

2π(12·15) + 2π(12)²=2034.72.

Answer:42.875 feet3

Step-by-step explanation:

Answer:

Step-by-step explanation:

V=a³

=[tex](3\frac{1}{2})^3=42\frac{7}{8}[/tex]in³

Answer:

2/1

Step-by-step explanation:

Answer:

1080

Step-by-step explanation:

the formula for finding volume is

length x width x height

so 12 x 15 x 6 which is 1080.

Answer:

y = -1/2 x - 1

Step-by-step explanation:

The expression in point-slope form is expressed as;

y-y0 = m(x-x0)

(x0,y0) = (6, -4)

slope m = -1/2

Substitute into the formula

y-(-4) = -1/2(x-6)

y+4 = -1/2(x-6)

2(y+4) = -(x-6)

2y+8 = -x+6

2y = -x+6-8

2y = -x-2

y = -1/2 x -2/2

y = -1/2 x - 1

Hence the answer in slope-intercept form is y = -1/2 x - 1

Answer:

The distance between the yacht from the ship is about 33.6 km.

Step-by-step explanation:

The diagram is attached below.

Point A is the shipe, Point B is the tugboat, and Point C is the yacht.

Since the tugboat is 28 km away, and the scale being used is 1 cm : 4 km, the tugboat is 7 cm away from the ship at a 210° bearing on the diagram.

Likewise, the yacht is 6 cm away from the tugboat at a 210° bearing.

To find the distance between the yacht to the ship, we need to determine the value of x.

To do so, we can use the Law of Cosines:

[tex]b^2=a^2+c^2-2ac\cos(B)[/tex]

First, we need to determine ∠B.

A has a bearing of 210°. 180° is covered by QI and IV. So, the small angle in QIII is 30°.

By Alternate Interior Angles, the angle in QI (inside the triangle) of Point B must also be 30°.

And since Point B has a bearing of 310°, 270° is covered in total by QI, QIV, and QIII. So, 40° is left in QII.

Therefore, 50° is the measure of the angle in QIII within the triangle of Point B.

Thus, ∠B measures 50° + 30° = 80°.

So, ∠B measures 80°. We also know that a = 6 and c = 7. Substitute:

[tex]b^2=(6)^2+(7)^2-2(6)(7)\cos(80)[/tex]

Simplify and take the square root of both sides. So:

[tex]b=\sqrt{85-84\cos(80)}[/tex]

Approximate using a calculator:

[tex]b=8.3912...\approx 8.39\text{ cm}[/tex]

Since 1 cm : 4km, to find the distance in km, we simply need to multiply by four. So:

[tex]\Rightarrow b=4(8.3912...)=33.5651\approx 33.6\text{ km}[/tex]

The distance between the yacht from the ship is about 33.6 km.

Answer:

the answer is 225 square feet

Step-by-step explanation:

900÷4=225

Answer:

[tex]Area \ of \ square = l * l = l^2\\900 = l^2\\\sqrt{900} = l\\l = 30ft[/tex]

Since sides are equal both sides are 30ft each

Answer:

triangle B

Step-by-step explanation:

...............

Answer:

[tex]x = 11[/tex]

Step-by-step explanation:

[tex] \frac{12x + 8 - 4x + 4}{2} = 50[/tex]

[tex] \frac{8x + 12}{2} = 50[/tex]

[tex]8x + 12 = 100[/tex]

[tex]8x = 88[/tex]

[tex]x = 11[/tex]

Answer:

(4, 2.5)

Step-by-step explanation:

Answer:

I can't see the 5 the question properly but I'm sure 12) is 4 and 14) 70

Step-by-step explanation: 12) is( 4+4)÷2=4 and 14) 3+5+7=15 so, 5÷15=0.333333... then multiply it by210 you get 70

+ also on 15) just divide 5 by 2=2.5 and then divide 22 by 2.5 you get 8.8

Answer:

42

Step-by-step explanation:

Answer:

The Volume of a Sphere is equal to 2 times the volume of a cone.

Step-by-step explanation:

The volume of a sphere: 4/3 π r^3

The volume of a cone: 1/3 π r^2 h  

r is the radius

h is the height

In this case, the height can be replaced by the 2r or the diameter, since it would correspond exactly to the height of the sphere of radius r.

So then,

sphere       and    cone

4/3 π r^3             1/3 π r^2 h  

                           1/3 π r^2 * 2r

                           2/3 π r^3    

Ratio sphere : cone

4/3: 2/3

2:1

Therefore the volume of the sphere is twice that of the cone or equal to twice the volume of the cone

Answer: 416

Step-by-step explanation:

Answer:

416

Step-by-step explanation: the tickets cost 17 each and there is a discount of $4 for a field trip so for that you do 17 minus 4 and you get 13 and then you will multiply 13 by 32 students and you get 416.

I hope this helps!!

Answer:

10/6kg

Step-by-step explanation:

Given data

Amount of flour= 3/2kg

Amount of sugar= 1/6kg

The combined mixture is

=3/2+1/6

=9+1/6

=10/6kg

Hence the combined amount is 10/6kg

Answer:

170.52 in

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertex form of the equation of a quadratic function with vertex (h,k):

f(x) = a(x - h)² + k

To find a we need to put the point and the vertex into this equation:

3 = a(-6 + 2)² - 13

10 = a(-4)²

16a = 10

a = ⁵/₈

Therefore, vertex form of the quadratic function:

f(x) = ⁵/₈(x+2)² - 13

Answer:

Cubic

Step-by-step explanation:

Answer:

cube

Step-by-step explanation:

Answer:

y= -1/2x-5

Step-by-step explanation:

The reciprocal of 2 is -1/2, and the y-intercept given is -5. Given those, the equation is y= -1/2x - 5

The equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5) = 2y = -x -8

The equation of line is an algebraic form of representing the set of points.

Given that a line is perpendicular to line, y = 2x -5 and passes through (2,-5)

Equation of a line = y = mx + c, where m is the slope

y = 2x - 5, slope of this line is 2

Slope of two perpendicular lines are negative reciprocal of each other.

Therefore, slope of other line is -1/2

Equation will be y = -1/2 x + c

This above line passes through (2,-5)

-5 = -1/2*2 + c

c = -4

Hence, the equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5).

y = -x/2 -4

2y = -x -8

For more references on the equation of the line, click;

https://brainly.com/question/2564656

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Answer:

2

Step-by-step explanation: