A bead is chosen randomly from a cloth bag. If 40% of the beads are spheres, and 30% of the spheres are blue, what's the probability of choosing a blue sphere?

Answer:

[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]

Answer:

x = 8

Step-by-step explanation:

                                                             √3                  4√3

Note that cos 30 degrees (which is ---------) equals ---------  

                                                                2                      x

which simplifies to:

    1         4

  ----   = -----    

    2         x

so that x = 8                                                                                                

Answer:

$73,500

Step-by-step explanation:

Answer:

x = -3 and x = -7

Step-by-step explanation:

7 + 2(x+5) = 11

7 + 2x + 10 = 11

2x + 17 = 11

2x = -6

x = -3

7 + -2(x+5) = 11

7 + (-2x) + (-10) = 11

-3 -2x = 11

-2x = 14

x = -7

Answer:

The expected value is $0.1125

Step-by-step explanation:

The number of packages worth $0.70 in the grab bag = 20

The number of packages worth $0.60 in the grab bag = 15

The number of packages worth 30 cents in the grab bag = 5

The amount paid to pick one package = 50 cents

The number of packages in the bag, n = 20 + 15 + 5 = 40

The total value of the packages in the grab bag, 'V', is given as follows;

V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 =  $24.5

The average value of the packages in the bag, A = V/n

∴ A = $24.5/40 = 0.6125

The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows

Whereby a $0.70 package is picked up, we have;

E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10

Whereby a $0.60 package is selected, we have;

E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375

Whereby a $0.30 package is selected, we have;

E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)

Therefore, the expected value, E(X), is found as follows;

E(X) = E(X)₁ + E(X)₂ + E(X)₃

E(X) = 0.1 + 0.0375 - 0.025 = $0.1125

The expected value, E(X) = $0.1125

Answer:

3/10 of all the M & M's are red and blue.

Step-by-step explanation:

Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:

1/10 = 0.10

1/5 = 2/10 = 0.20

1/10 + 2/10 = X

3/10 = X

Therefore, 3/10 of all the M & M's are red and blue.

Answer:

x= 24

Step-by-step explanation:

Supplementary angles measure 180 degrees

180-156=24

Answer: X measures 24

Step-by-step explanation: 180-156= 24

Answer:

No.

Step-by-step explanation:

If you go to a baseball park and ask what their favorite sport is most will probably say baseball. Just as if you go to a basketball court, most would respond with basketball as their favorite sport. I suggest not going to anything related to sports and asking random people.

Answer:

A

Step-by-step explanation:

Each student spend 0.625 hours to wash all the cars.

What is unity method?

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

All the cars are washed by 1 student in 10 hours.

So, the time taken by 4 students to wash all the cars will be 10/4=2.5 hours.

This includes that 4 students wash all the cars in 2.5 hours.

So, the time invested by each student to wash cars is 2.5/4=0.625.

Therefore, each student spend 0.625 hours.

Disclaimer:

It takes one student 10 hours to wash all the cars at a car wash. If 4 students wash all the cars, how many hours will each person spend washing cars? (assume that all students wash cars at the same rate.)

a. 2.5 hrs

b.0.625 hrs

c.5 hrs

d. 0.4 hrs

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The Venn diagram shows that the number of students who offer accounting is 30.

It should be noted that a Venn diagram is an illustration which uses circles to show the relationship between the objects.

The number of students who offer accounting is:

= 25 + 5

= 30

The number of students who offer Economics is:

= 10 + 5

= 15

The number of students who offer only one subject will be:

= 25 + 10

= 35

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Answer:

It would be C

Step-by-step explanation:

-2 b +30 = 24 it would be right becase -2 + -2 - 30= 24

Answer:

(x is number)

x=7>5

Step-by-step explanation:

hope this helps

Answer:

was,rang or had been , had rung

Step-by-step explanation:

He <was><had been> watching TV when the telephone <rang><had rung>.

Answer: R = Y

Step-by-step explanation: I'm going to assume that this is your problem:

If r = 5z and 15z = 3y, then r = ?

r = 5z

Multiply both sides of this equation by 3:

3r = 15z

Now, we know that

3r = 15z and that 15z = 3y

By the transitive property of equality, we can conclude that

3r = 3y

Dividing both sides by 3 yields this:

Answer:

B)30°

hope it helps....

Answer: 18/91 or ≈ 0.2

Step-by-step explanation:

Bag one: 4 red + 3 blue = 7 total

Bag two: 7 green + 6 yellow = 13 total

probability of picking blue from first bag: 3/7

probability of picking yellow from second bag: 6/13

3/7*6/13 = 18/91 or about 0.2 chance

Answer:

94%

Step-by-step explanation:

Given the ordered data :

18, 18, 21, 22, 25, 26, 27, 29, 30, 31, 31, 33, 36, 37, 37, 41, 42, 47, 52, 55, 57, 58, 62, 64, 67, 69, 71, 72, 73, 74, 76, 77

The percentile of 74;

From the ordered data ; 74 is at the 30th position in the data ;

Hence, 30 / n ; n = sample size

30 / 32 = 0.9375 = 0.9375 * 100% = 93.75%

Hence, the percentile of 74 is 94% (nearest whole number)

Answer:

the money reducted = 1870 - 580

                                  = 1290

now the percentage = 1290/1870 x 100

                                  = 68.9%

Step-by-step explanation:

Answer:

Step-by-step explanation:

the money reducted = 1870 - 580

                                 = 1290

now the percentage = 1290/1870 x 100

                                 = 68.9%

Step-by-step explanation:

V=Bh

"B" means area of the base

Answer:

thanks

Step-by-step explanation:

really appreciate it

Answer:

Thank youu!

Step-by-step explanation:

hope you have a great day too!

Answer:

24/96 ?

or 1/4 ?

Step-by-step explanation:

Answer:

39 pi cubic inches

Step-by-step explanation:

The volume of a cone is (1/3)(area of the base)(height).

[tex]V=\frac{1}{3}Bh[/tex]

Find the area of the circular base.  The circumference of a circle is [tex]C=2\pi r[/tex], so

[tex]2\pi r = 6\pi\\\\r=3[/tex]

Now that you know the radius of the circular base, you can find its area:

[tex]A=\pi r^2 = \pi(3^2)=9\pi[/tex]

The height of the cone is 13.  Time to use the volume formula.

[tex]V=\frac{1}{3}Bh\\\\V=\frac{1}{3}(9\pi)(13)\\\\V=39\pi[/tex]

Answer:

See Attachment

Step-by-step explanation:

I graphed it below.

to find how many seats are in each row you have to divide the nber of students by the rows 325 by 25 is 13 seats per row

Five less than twelve times a number is represented by  12n - 5

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Answer:

D

Step-by-step explanation:

volume of rectangular prism

=height×base

=6×50

Answer:

300

Step-by-step explanation:

got it right on the quiz

Answer:

6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

45+42=87

100-87=13