Mathematics College

there are 2 containers of beads. container a has 400 black beads and 250 white beads. container b has 200 black beads and 670 white beads. how many black and white beads must be transferred from b to a so that 50% of the beads in a are white and 25% of the beads in b are black?

Answers

Answer 1

Step-by-step explanation:

First box contains 8 black and 12 white beads Second box contains 9 black and 6 white beads.

(a) One black bead from each box is taken.

Number of such cases = 8×9=72

Total number of possibilities = 20×15=300

Probablity of getting both black beads =

300

(b) One black and one white bead is taken.

So if one black bead is taken from first box then one white bead is taken from second box and if one white bead is taken from first box then one black bead is taken from second box.

Number of such cases = 8×6+12×9=48+108=156

Total number of possibilities = 20×15=300

Probablity of getting one black and one white bead =

300

156

Related Questions

Find all values of m for which the equation has two real solutions.
3x² + 7x- (m + 1) = 0

Find all values of m for which the equation has two real solutions.3x + 7x- (m + 1) = 0

Answers

X= -7+square root 61+12m/6

if a plane traveled 2100 miles in 210 minutes how many mph was it going?

Answers

First, let's convert 210 minutes to hours:

$210\text{ minutes}=\frac{210}{60}\text{ hours}=3.5\text{ hours}$

Now, to calculate the velocity in mph, let's divide the distance in miles by the time in hours:

$velocity=\frac{2100}{3.5}=600\text{ mph}$

solve systems of equations for y and x:

−5y + 8x = −18

5y + 2x = 58

Answers

Answer:

(4, 10)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5y + 8x = -18

5y + 2x = 58

Step 2: Solve for x

Elimination

Combine 2 equations: 10x = 40[Division Property of Equality] Divide 10 on both sides: x = 4

Step 3: Solve for y

Substitute in x [Original equation]: -5y + 8(4) = -18Multiply: -5y + 32 = -18[Subtraction Property of Equality] Subtract 32 on both sides: -5y = -50[Division Property of Equality] Divide -5 on both sides: y = 10

3x² + 11x > 4
How to slove this and the answer for it with it I really do need help with this

Answers

Using the factorization, the solution of given inequality is x>1/3 and x< -4.

In the given question we have to solve the given inequality.

The given inequality is 3x^2+11x>4.

Solving the given inequality

Subtract 4 on both side we get

3x^2+11x-4>0

Now factoring the binomial equation.

The multiplication of first and third term is 12 and middle term is 11.

So the possible factors are 1 and 12

3x^2+(12-1)x-4>0

3x^2+12x-x-4>0

3x(x+4)-1(x+4)>0

(3x-1)(x+4)>0

Equating equal to zero

3x-1>0 or x+4>0

Solving for x

x>1/3 or x< -4

Hence, the solution of given inequality is x>1/3 and x< -4.

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These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x= 7 to x = 8?
X
0
1
23
4
5
6
y
-1
-2
-5
-10
-17
-26
-37
Interval
0 to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
Average rate
of change
-1
-3
679
-11
3-2
0-2
0-2
0-2
3-2
d

Answers

The average rate of change for the interval from x = 7 to x = 8 is 35.

To calculate the average rate of change for the interval from x = 7 to x = 8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table

For the interval from x = 7 to x = 8 x1 = 7, y1 = -37 x2 = 8, y2 = -2 Difference in y- values Δy = y2- y1 = -2-(- 37) = 35

Difference inx-values Δx = x2- x1 = 8- 7 = 1

Average rate of change = Δy/ Δx = 35/ 1 = 35

Thus, the average rate of change for the interval from x = 7 to x = 8 is 35. Note: It's important to mention that the values calculated then are grounded solely on the given data. Please insure you corroborate the delicacy of the handed data and environment before using the answer in any important or critical operations.

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Fifteen percent of new residential central air conditioning units installed by a supplier need additional adjustments requiring a service call. Assume that a recent sample of seven such units constitutes a binomial process. Interest centers on X, the number of units among these seven that need additional adjustments. The mean and variance of X are, respectively

Answers

Answer:

The mean will be "1.05".

Step-by-step explanation:

According to the question, the values are:

p = 15%

or,

= 0.15

q = 1-p

= 1-0.15

= 0.85

n = 7

As we know,

⇒ $P(X=x)=n_C_x(q)^{n-x}(p)^x$

Now,

The mean will be:

⇒ $\mu = np$

$=7\times 0.15$

$=1.05$

Sketch the area under the standard normal curve over the indicated interval and find the specified area.

a. The area to the right of z = 0
b. The area to the left of z = 0
c. The area to the left of z = −1.35
d.The area to the left of z = −0.48

Answers

Answer:

a) The area of the right of z=0 is P(z >0) =0.5.

b) The area of the left of z=0 is P(z < 0) =0.5.

c) The area of the left of z=-1.35 is P(z <- 1.35) =0.0885.

d) The area of the left of z=-0.48 is P(z <-0.48) =0.3156.

Step-by-step explanation:

Here are the graphs respectively.

Sketch the area under the standard normal curve over the indicated interval and find the specified area.

The exponential function h, whose graph is given below, can be written as

h(x) = a * b^x

Complete the equation for h(x)

Answers

Answer

h(x) = 6 * (2/3)^x

Steps:

The graph specifically highlights two points that might interest us in obtaining the equation. They are x=0 and x=1.

For x=0,
h(x) = 6 {obtained from the graph}
h(x) = 6 = a*b^0
Implies, a=6, since anything to the power 0 is 1, therefore b^0 is 1.

For x=1,
h(x) = 4 {obtained from the graph}
h(x) = 4 = 6*b^1 {a substituted by 6}
Implies, 4=6*b, since anything to the power 1 is itself, therefore b^1 is b.

b then is given by 4/6, simplified to 2/3.

Therefore the equation then becomes,

h(x) = 6 * (2/3)^x

Answer:

here

Step-by-step explanation:

Please help me on this question and thank you!

Answers

Answer:

{YH, YT, BH, BT, TH, TT}

where Y = yellow, B = blue, T = turquoise

H = heads, T= tails

6 possible outcomes

Step-by-step explanation:

There are 2 independent events

Spinner which can land on one of three colors - Yellow(Y), Blue(B) and Turquoise(T)

Flipping a coin which has two outcomes Heads(H) and Tails(T)

Both events are independent of each other

So the sample space is:
{YH, YT, BH, BT, TH, TT}

Total of 6 outcomes

HELP ASAP PLS
A student needs to decorate a box as part of a project for her history class. A model of the box is shown.

A rectangular prism with dimensions of 24 inches by 16 inches by 2 inches.

What is the surface area of the box?

928 in2
768 in2
464 in2
160 in2

Answers

Answer:

928 in2

768 in2

464 in2

160 in2

Part a:Cell phone usage grew about 23% each year from 2010 to 2016. If cell phone usage in 2010 was 43 million, write a function f(x) to model U.S. cell phone usage over that time period, where x is the number of years since 2010.

Part b estimate the cell phone usage in 2013.round to the nearest ten thousand.

Answers

Answer:

The function f(x) to model U. S. cell phone usage over the time period of 2010 to 2016 can be expressed as f(x) = 43 * (1.23^x), where x is the number of years since 2010. Part b: The estimated cell phone usage in 2013 can be calculated by substituting x = 3 into the function f(x) = 43 * (1.23^x). This yields an estimated cell phone usage of 68.4 million in 2013, which can be rounded to the nearest ten thousand to 68 million.

Step-by-step explanation:

What is 40% of 360°? Pls help

Answers

144
hope this helped u ?

Answer:

40% of 360 = 144

Step-by-step explanation:

10% of 360 is 36.

40% of 360 = 36 * 4 = 144

HELP!!! NEED ANSWER IN 5 MINUTES A store owner asks each person to write "Yes" or "No" on a slip of paper as they leave, secretly writing down whether they were happy with their experience. At the end of the day, the owner selects 16 slips at random and looks at them.

Answers

Answer:

$\sf \dfrac{1}{2}$

Step-by-step explanation:

Results from the slips of paper:

yes = 8no = 8

Total slips of paper = 16

$\sf Proportion = \dfrac{part}{whole}$

$\implies \textsf{Proportion of shoppers who were happy}=\sf \dfrac{8}{16}=\dfrac{1}{2}$

Answer:

1/2

Step-by-step explanation:

There are 16 responses

There are 8 people who said yes

P( happy) = yes/ total

P(happy) = 8/16 = 1/2

It cost $1,230 to carpet a 10 ft by 6 ft room. If the same type of carpet is used, how much would it cost to carpet a 7 ft by 8 ft room?

a.$20.50

b. $76.85

c. $1,148

d. $1,318

Answers

6 times 10 is 60 and 1230/60 is 20.5. 7 times 8 is 56 so 56 times 20.5 is C, 1148

The required cost of carpet is $1,148.

Hence option (c) is correct.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Cost of carpet of dimension 10 ft x 6 ft = $1230

Then cost of carpet of area 60 ft² = $1230

The cost of carpet per unit area = 1230/60

= $20.5

Area of carpet 7 ft x 8 ft = 56 ft²

Then the cost of this carpet

= 56x20.5

= 1,148

Therefore, the cost of carpet of dimension 7 ft x 8 ft = $1,148

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what is the actual length of the truck? 1inch=0.8 feet

Answers

Answer:76 inches

Step-by-step explanation:

Answer:

76 inches

Step-by-step explanation:

can someone help help meee fasttt!

Answers

Answer:

Step-by-step explanation:

Plug in all of the values then solve using order of operations

y+(x^2)z

4+(-1^2)(-2)

4+1(-2)

4+(-2)

4-2=2

Part D
Now use GeoGebra to measure the lengths of segments AB and BC and calculate the area of rectangle ABCD. Do you get the same result that you obtained in part C? Take a screenshot with the lengths of the sides labeled and the area displayed, and paste it below.

Answers

Answer:

id ont givea

efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr

Step-by-step explanation:

idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity: