A bag holds 10 blue marbles, 2 white marbles, and 8 red marbles. Without looking into the bag, William selects a marble and then returns it to the bag. If he selects 2 marbles in this way, what is the probability that both will be blue?

A.10%
B.25%
C.50%
D.75%

Let [tex]x[/tex] be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is [tex]x+4039,[/tex] so our answer is [tex]\boxed{4039}.[/tex]

For completeness, though, let's solve for the value of [tex]x[/tex] that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term [tex]a_1,[/tex] last term [tex]a_n,[/tex] and [tex]n[/tex] terms, is [tex]\frac{n(a_1+a_n)}{2}.[/tex] Plugging in our known values gives us the equation [tex]\frac{4040(2x+4039)}{2}=2020,[/tex] which simplifies to [tex]2x+4039=1.[/tex] Thus, [tex]x=-2019,[/tex] so the 4040 consecutive integers are [tex]-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.[/tex] Notice how everything except the [tex]2020[/tex] cancels out!

Answer:

Step-by-step explanation:

[tex]-2\frac{1}{4}=\frac{-9}{4}\\\\-1\frac{1}{2}=\frac{-3}{2}\\\\[/tex]

-2 1/4  ÷ -1 1/2 =

[tex]\frac{-9}{4}*\frac{-2}{3}=\frac{3}{2}*\frac{1}{1}\\\\=\frac{3}{2}\\\\=1\frac{1}{2}[/tex]

Answer:

The z-score for 7.90 oz. is -3.57

Step-by-step explanation:

Data

From definition of z-score:

Z = (x - mean)/sd

Replacing with data:

Z = (7.9 - 8.15)/0.07

Z = -3.57

Answer:

90 degrees

A right angle is equal to 90 degrees. A line segment (AB) drawn so that it forms right angles with a line (CD).

Step-by-step explanation:

Answer:

3 angles

Step-by-step explanation:

there are 3 angles, one a right angle (90 degrees), and the other two are acute angles (45 degrees)

Answer:

1. Coefficient

2. Constant

3. (0,12)(1,27)(2,42)(3,57)(4,72)

Step-by-step explanation:

Answer:

He can make 4 groups as for the 5th group he left with 4 cookies.

So your answer would be 4 groups and 4 cookies.

hope it helps!

Answer:

the smaller angle = 4x = 4*15 = 60 degrees

Step-by-step explanation:

Answer:

52.374 cm*3

Step-by-step explanation:

the upper triangle is equal to the bottom triangle

Btw fyi the formula of calculating the value of a prism is:

area of the base × height

Answer: Snail ≈ 96,551.7 hours, North American X-15 ≈ 0.6 hours

Step-by-step explanation:

All you have to do is divide how many miles they go an hour by the total number of miles, which is 2,800.

Part 1: Garden Snail

= [tex]\frac{2,800}{0.029}[/tex]

≈ 96,551.7

Part 2: North American X-15

= [tex]\frac{2,800}{4,520}[/tex]

≈ 0.6

These are the answer!

Hope this helps! :)

Answer: 4

Step-by-step explanation:

Using pythagoras theorem =>

b=[tex]\sqrt{c^2-a^2[/tex]

b=[tex]\sqrt{5^2-3^2}[/tex]

b=[tex]\sqrt{25-9}[/tex]

b=[tex]\sqrt{16}[/tex]

b=4

Answer:

4

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

The measure of the hypotenuse is 5. The measure of the given leg is 3.

[tex]3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}[/tex]

The unknown side of the triangle should be four units.

Answer:

your answer will be -42,-10,-8,-6

Answer:

48÷3=16

Step-by-step explanation:

In the expression, 96 divided by 8 = a , the quotient a =12

. Divide 12 lizards into 6 equal groups. How many lizards are in each group?

There are2

lizards in each group.

Answer:

1.    16

2.   6

3.    2

Step-by-step explanation:

Answer:

   = 147.1369 pi

Step-by-step explanation:

The diameter is 24.26

The radius is d/2 = 24.26/2 =12.13

The area of a circle is

A = pi r^2

   = pi (12.13)^2

   = 147.1369 pi

Answer:

147.1369

Step-by-step explanation:

i think im wrong not sure. also the answer is not rounded.

Answer:

The two circles centered at point A are concentric and similar

Step-by-step explanation:

plato

Answer:

5/32

Step-by-step explanation:

You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.

Find Volume of water.

V=lwh

V= 1/2 x 1/2 x 5/4

V=5/16.

Find Volume of The whole shape.

V=lwh

V= 1/2 x 5/4 x 3/4

V=15/32.

Subtract : 15/32-5/16=5/32

VOLUME OF MISSING PART = 5/32 meters cubed

Answer: B. 117 in

Step-by-step explanation:Took the test Trust

Hope this helps -----

The surface area that will be frosted with icing is 205in²

It will be equal to the sum between the top surface, which measures:

S = 13in*9in = 117 in²

And the four lateral sides, two of them measure:

s' = 2in*9in = 18in²

The other two measures:

s'' = 13in*2in = 26in²

Then the total surface area that must be frosted is:

SA = 117 in² + 2*( 18in²) + 2*(26in²) = 205 in²

So we conclude that the correct option is C.

If you want to learn more about surface areas:

https://brainly.com/question/76387

#SPJ2

Answer:

c

Step-by-step explanation:

⇒

10×3×7×7×5=7350ways

Step-by-step explanation:

rjrurjrrmrjrjrnrbrbdu

Answer:

the one with 8 and 6= 1206.37

the one with 4 and 13 = 653.45

Step-by-step explanation:

v=[tex]\pi[/tex]r2h

v=[tex]\pi[/tex]8(2)(6)

v=[tex]\pi[/tex]4(2)13

Answer:

1  5/9

Step-by-step explanation:

9 1/3 can be rewritten as 28/3. The question is asking for you to divide 28/3 by 6. 6 is 6/1, so the expression is 28/3 divided by 6/1. You then do the reciprocal of 6/1 and the expression is [tex]\frac{28}{3} * \frac{1}{6}[/tex]. This gets you 28/18, which is simplified to 14/9 or 1  5/9. Hope this helps!

Answer:

1.55

Step-by-step explanation:

Convert 1/3 into a fraction which is .33 repeating and then divide 9.33 by 6 and you get 1.55

Answer:

0.555 in

Step-by-step explanation:

The first thing we must do is calculate the volume of the machine, the volume of a wait is:

v = (4/3) * pi * (r ^ 3)

we know that the diameter is twice the radius, therefore:

r = d / 2 = 20/2

r = 10, replacing:

v = (4/3) * 3.14 * (10 ^ 3)

v = 4186.66 in ^ 3

Now, we know that by leaving 40% of space in the machine there are 3,500 chewing gums, therefore, 60% of that volume is chewing gum.

4186.66 * 0.6 = 2512

to calculate the volume of a chewing gum:

3500 * v = 2512

v = 2512/3500

v = 0.7177 in ^ 2 is the volume of a single chewing gum

if we solve the sphere formula for r, we are left with:

r ^ 3 = v * (3/4) / pi

replacing

r ^ 3 = 0.7177 * (3/4) /3.14

r ^ 3 = 0.1714

r = 0.1714 ^ (1/3)

r = 0.555

the radius of each gum is 0.555 in

Answer: The right angle is at angle C

Step-by-step explanation:

Yes, the angle is a right angle at C (Edge option D)

Answer:

......

Step-by-step explanation:

b)4kg:1600g

convert 4kg to grams

4000g:1600g

then divide

=5g:2g

then convert 5g into kg

=0.005kg:2g

f)5 days:5 weeks

multiply 5weeks by 7 u will get 35

5days :35dys then divide by 5

1:7days

=1 day:1 week

h)40 sec:1 min

40 sec:60 sec

then divide both of them by 2

2 sec:3 sec

then take 3 ÷60=0.05 min

=2 sec:0.05 min

Answer:

-4 ± 2*sqrt(3)

Step-by-step explanation:

Well I'm not quite sure as to what the x= equations are, but for the solution to this quadratic I just used the quadratic formula. This gave me -8 ± sqrt(48)/2, which can be simplified to -4 ± 2 * sqrt(3). Hope this helps :)

Answer:

An equilateral triangle can be defined as a special type of triangle whose all the sides and internal angles are equal. In an equilateral triangle, the measure of internal angles is 60 degrees.

Step-by-step explanation:

Answer    

1.M=1

2.3/5

3.(NO SOLUTION)

4.0

5.1/2 =0.5

Step-by-step explanation:

Y=mx+b

M=(Y2)+(y1)/(x2)+(x1)

1. x1  y1    x2   y2

    (-4 , -5) , (3 , 4)

Slope:

M=(4)+(-5)/(3)+(-4)

=-1/-1= 1

2. x1  y1    x2   y2

    (0 , -2) , (5, -1)

Slope:

M=(-1)+(-2)/(5)+(0)

=-3/5

3. x1  y1    x2   y2

    (-5 , -1) , (5 , -3)

Slope:

M=(-3)+(-1)/(5)+(-5)

=- 4/0=(NO SOLUTION)

4. x1  y1    x2   y2

    (-5, -5) (-1, 5)

Slope:

M=(5)+(-5)/(-1)+(-5)

= 0/-6 =0

5. x1  y1    x2   y2

    (-2, 0) (4, 1)

Slope:

M=(1)+(0)/(4)+(-2)

= 1/2 =0.5

Answer:

12 dollars

Step-by-step explanation:

Round the bill to the nearest ten dollars

81.66 rounds to 80 dollars

80 * 15%

80 *.15

12

The tip is 12 dollars

Answer:

81.66/100*115 = 93.909 rounding down to $90

Step-by-step explanation:

Answer:

Step-by-step explanation:

1X+17=121X+17=12

1X=12−171X=12−17

1X=72×7−27×21X=72×7−27×2

1X=7−2141X=7−214

1X=5141X=514

Taking inverse on both sides

X=145=2.8 hoursX=145=2.8 hours

The time taken by Sam is 2.8 hours.2.8 hours.

Answer:

Step-by-step explanation:

3[tex]x^{4}[/tex]

Answer: 9 √(3^x6)

Step-by-step explanation:

Answer:

To find y intercept x should be 0.

And in this.

Y=4x.3x

Y=4*0*3*0

Y=0 answer.