Find the value of x. ​

Answer:

24/99

Step-by-step explanation:

From the question given above, the following data were obtained:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

Probability that they are of different color =?

Next, we shall determine the total number of balls in the bag. This can be obtained as follow:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 4 + 5 + 2 = 11 balls

Next, we shall determine the possible outcome of draw. This can be obtained as follow.

The possible outcome could be:

WBLB or WBBL or BBLW or BWBL or BLBW or BLWB

Next we shall determine the probability of each of outcomes.

Since the ball is drawn without replacement, it means the total number of ball will reduce after each draw.

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 11

P(WBLB) = 4/11 × 2/10 × 5/9 = 40/990

P(WBLB) = 4/99

P(WBBL) = 4/11 × 5/10 × 2/9 = 40/990

P(WBBL) = 4/99

P(BBLW) = 5/11 × 2/10 × 4/9 = 40/990

P(BBLW) = 4/99

P(BWBL) = 5/11 × 4/10 × 2/9 = 40/990

P(BWBL) = 4/99

P(BLBW) = 2/11 × 5/10 × 4/9 = 40/990

P(BLBW) = 4/99

P(BLWB) = 2/11 × 4/10 × 5/9 = 40/990

P(BLWB) = 4/99

Finally, we shall determine the probability that they are of different color. This can be obtained as follow:

P(WBLB) = 4/99

P(WBBL) = 4/99

P(BBLW) = 4/99

P(BWBL) = 4/99

P(BLBW) = 4/99

P(BLWB) = 4/99

Probability that they are of different color =?

Probability that they are of different color = P(WBLB) + P(WBBL) + P(BBLW) + P(BWBL) + P(BLBW) + P(BLWB)

= 4/99 + 4/99 + 4/99 + 4/99 + 4/99 + 4/99

= (4 + 4 + 4 + 4 + 4 + 4)/99

= 24/99

Thus, the probability that they are of different color is 24/99

Answer:

Step-by-step explanation:

Coordinates of the vertex A → (-4, -6)

Coordinates of the vertex A' → (6, 6)

Since, y-coordinates are same opposite in notation,

Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.

And points A and A' will be equidistant from the line of reflection.

Midpoint between A and A' = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

                                              = [tex](\frac{-4+6}{2},\frac{-6+6}{2})[/tex]

                                              = (1, 0)

Therefore, x = 1 will be the line of reflection.

Answer:

50

Step-by-step explanation:

Using proportions, it is found that the number of toys that is likely to be defective in a sample of 500 is given by:

C: 50

A proportion is a fraction of a total amount.

For the samples of 10, the mean number of errors is of:

( 0 + 2 + 1 + 1 + 2 + 0)/6 = 1

Hence, for samples of 500, the expected number of defective toys will be given by:

E = (500/10) x 1 = 50

Hence, option C is correct.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

The percentage change from 98 to 80 is -18.37 %

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((80 - 98) / 98) * 100 = -18.37 %

Answer:

Note that it is not a perfectly elastic result so it is irrational

9514 1404 393

Answer:

   3 ft square base, 7 feet high

Step-by-step explanation:

For minimum cost, each pair of opposite sides costs the same as any other pair of opposite sides.

If s is the edge length of the base, then the areas of the top and bottom are s² and their total cost is ...

  (s²)(0.22 +0.20) = 0.42s² . . . . cost of top and bottom

__

For a volume of 63 ft³, the height of the side of the box is ...

  63/s² = h

and the area of one side of the box is ...

  hs = 63/s

A pair of opposite sides will have a cost of ...

  (63/s)(0.09 +0.09) = 11.34/s . . . . cost of a pair of opposite sides

__

We want these two costs to be the same, so we have ...

  0.42s² = 11.34/s

  s³ = 11.34/0.42 = 27

  s = ∛27 = 3 . . . . feet

  h = 63/s² = 7 . . . . feet

__

The box dimensions are 3 feet square by 7 feet tall.

_____

Additional comment

Each pair of opposite sides will cost $3.78, so the total cost of the box is $11.34.

For the non-believers, we have shown a graph of the total cost of the box as a function of the base dimension (s). It has a minimum at $11.34 when s=3. You can find that by differentiating the cost function and and finding the zero(s) of that (or by reading the values from the graph).

Answer:

100.0 bc it is ONE bird or 100%?????

Answer:[tex]x=7, \ y=-2[/tex]

Step-by-step explanation:

Given

Equations are [tex]3x-y=23[/tex] and [tex]2x+3y=8[/tex]

take [tex]3x-y=23[/tex]

[tex]y=3x-23[/tex]

Put the value of y in another equation

[tex]\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7[/tex]

Put the value of x in y

[tex]y=3(7)-23=21-23=-2[/tex]

Hence, [tex]x=7, \ y=-2[/tex]

Answer:

Step-by-step explanation:

4 - 5*h

The question is not totally clear. It could be the other way around.

5h - 4

Given the grammar, I'll stick with the first answer.

Answer: 2000 hope this helps. Can u give me brainliest

Step-by-step explanation:

Answer:

2,000

Step-by-step explanation:

Since there's a 9 before the 1 you would round up the 1,987 to 2,000

Answer:

is this a multiple-choice question?

Step-by-step explanation:

**i'll go back and change my answer, i promise**

Answer:

Da watermelon

Answer:

2400

Step-by-step explanation:

x+y+z=147

x+(x+1)+(x+2)=147

3x+3=147

3x=144

x=48

The three consecutive positive numbers are 48, 49, and 50.

48 • 50 = 2400

Answer:

2400 just believe me I’m correct

Answer:

5.09 or 5.10(if u round up)

Step-by-step explanation:

When you convert √24 it will be 5.099

The decimal point must lie between 5 and 0

Hope this helps:)

Answer:

what is your problem?    

Step-by-step explanation:

Answer:

(a) Independent variable

(b) The constant factor is 12

Step-by-step explanation:

Given

[tex]m(c) = 12c + 80[/tex]

c = campers

m = total cost

Solving (a) What type of variable is the number of campers (c)

The total cost (m) is dependent on the number of campers (c) for its own value.

In other words, if c changes from 5 to say 7, the value of m will also change.

This implies that the number of campers is an Independent variable

Solving (b): Constant factor

This in other words means, rate of change (or slope)

A linear function is:

[tex]y = ax + b[/tex]

Where a represents the slope

By comparison with: [tex]m(c) = 12c + 80[/tex]

Hence, the constant factor is 12

Answer:

dependent, changes by a constant factor per camper.

Step-by-step explanation:

Answer:

1.95

Step-by-step explanation:

195/100

This is tricky.

So imagine this.

195/100

100 signals 1.00

This means that 1.00 will have it's zeros taken outirrdf jsl

ARGHHHHH!

TAKEN OUT, DANG IT!

ANYways, this is 1. now

The decimal signals and

We merge the 1. and the 95.

Wow! 1.95bouuuuuuuuuurllebigtiub

OMG!

You get the idea.

Answer:

A.

Step-by-step explanation:

Rectangle: Length * Width

       —> 12 * 2 = 24

Triangle: Base * Height * 1/2

       —> 12 * 2 * 1/2 = 12

Matches answer A.

Step-by-step explanation:

Due to the time it took to solve this question, I had little time to type the answers fully

The answers are contained fully in the attachment I have uploaded.

A. H0: u1 = u2

H1: u1 not equal to u2

The t statistics was solved to be 3.03

The degree of freedom was solved to be 26

Given this information, this is a 3 tailed test, critical value at 5% = +-2.056

T stat > critical value

We therefore reject the null hypothesis at 5% and conclude they have different mean wear

The p value is calculated using excel and the result is 0.00544

We reject null at 5% since p value is less than 0.05

B. H0: u1 = u2

H1: u1>u2

Alpha = 0.05

Following a,

Test stat = 3.03

Df = 26

Critical value for 1 tailed test = 1.706

Test stat > 1.706

We reject H0 and conclude company 1 has higher mean wear.

We find p value for a right tailed distribution using excel

Tdist(3.03,26,1)

= 0.002722

We reject h0

C. Confidence interval

1.610 < u < 8.390

Answer:

2g-2

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

Answer

2g -2

Step-by-step explanation:

Answer:

58.1

Step-by-step explanation:

Answer:

The minimum sample size which should be used is 315.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92.

This means that [tex]\pi = 0.92[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less?

The minimum sample size that should be used is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.92*0.08}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.92*0.08}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.92*0.08}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.92*0.08}}{0.03})^2[/tex]

[tex]n = 314.2[/tex]

Rounding up

The minimum sample size which should be used is 315.

Answer:

A D F

Step-by-step explanation:

i think

pls mark brainliest

Answer:

the radius is half the diameter. radius = 8 diameter =16

Step-by-step explanation: