Kelly is six years younger than her sister for some of their age is 34 years how old is Kelly and how old is her sister?

Answer:

The probability that you win​ something is 0.7916.

Step-by-step explanation:

Let X denote the number of soda bottles having winning symbols under the caps.

The proportion of soda bottles having winning symbols under the caps is, p = 0.23.

Six-pack of soda are randomly bought.

Every bottle is independent of the others to have the symbols under the caps.

The random variable X follows a binomial distribution with parameters n = 6 and p = 0.23.

Then the chance of winning something implies that at least 1 of the bottles in the six-pack have the symbol under the caps.

Compute the value of P (X ≥ 1) as follows:

[tex]P(X\geq 1)=1-P(X<1)\\\\=1-P(X=0)\\\\=1-{6\choose 0}(0.23)^{0}(1-0.23)^{6-0}\\\\=1-0.2084224\\\\=0.7915776\\\\\approx 0.7916[/tex]

Thus, the probability that you win​ something is 0.7916.

The probability of winning something from buying 6 bottles of the considered soda company is 0.7916 approximately.

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

For this case, let we take:
X = the number of bottles out of 6 bottles having winning symbols.

Each bottle have the winning symbol(call it success) or not (call it failure).

Each bottle's result is independent of each other in a random picking (if 23% of the number of bottles manufactured is bigger or equal 6).

Then, we have X pertaining binomial distribution, as:
[tex]X \sim B(n=6, p = 0.23)[/tex]

(since success is a bottle having winning stickers, and as there are only 23% such bottles, so chance of success is 23% = 0.23(in decimal)).

Probability of not winning anything = P(X = 0)

From the probability function of binomial distribution, we get:

[tex]P(X = 0) = \: ^nC_xp^x(1-p)^{n-x} = \: ^6C_0(0.23)^0(1-0.23)^6 \approx 0.2084[/tex]

Thus, we get:

Probability of winning something = 1 - probability of not winning anything.

Probability of winning something ≈ 1- 0.2084 = 0.7916

Thus, the probability of winning something from buying 6 bottles of the considered soda company is 0.7916 approximately.

Learn more about binomial distribution here:

https://brainly.com/question/13609688

Answer:

f(-2)=4, f(0)=8, f(5)=18

Step-by-step explanation:

f(x)=2x+8

f(-2)=2(-2)+8

f(-2)=-4+8

f(-2)=4

f(0)=2(0)+8

f(0)=0+8

f(0)=8

f(5)=2(5)+8

f(5)=10+8

f(5)=18

Answer:  D

Step-by-step explanation:

If you put -5 and +5 on a number line and count their distance from zero they are both the same distance.

Answer:

$30.00

Step-by-step explanation:

Jack's original salary before it was doubled was $15.00 per day.

Let's assume Jack's original salary is "x" dollars per day.

According to the given information, Bill makes $30.00 per day, which is twice as much as Jack made before his salary was doubled. So, before Jack's salary was doubled, he made "x" dollars per day.

After Jack's salary was doubled, he makes 2 * x = 2x dollars per day.

Now, we know that Bill makes $30.00 per day, which is equivalent to the new salary of Jack after it was doubled.

So, we can set up an equation:

2x = $30.00

To find the value of "x," we can divide both sides by 2:

x = $30.00 / 2

x = $15.00

Therefore, Jack's original salary before it was doubled was $15.00 per day.

To know more about Multiplication here:

https://brainly.com/question/24327271?

#SPJ2

Answer:

6.5

Step-by-step explanation:

15gallons ÷ 2.3 gallons per car = 6.5 cars so filled would be 6

Answer:c

Step-by-step explanation:

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

Answer:

3°F

Step-by-step explanation:

36 divided by 12 is 3

Answer:

3 degrees F

Step-by-step explanation:

36/12 = 3

Answer:

dilation

Step-by-step explanation:

did it on edge 2020

Pls make me brainliest much appreciated

Answer:

67

Step-by-step explanation:

Answer:

g(x) = f(x - horizontal shift) + vertical shift translates to g(x) = f(x - [-4])+[-7].

Step-by-step explanation:

I'm not to sure but I hope this helps

Answer:

4. y = -1/2x + 5

5. y = -1/3x + 3

6. y = 1

Step-by-step explanation:

For #4:

Because these lines are parallel, we know that they will have the same slope.

To get b, or the y-intercept, I just started at the point (4,4) and used the slope to work backwards to the y-axis. This is really not the best way to do it (especially with big numbers) but it works in a pinch. Also, I forgot the better way :/

For #5:

These lines are perpendicular. That means that the slopes are reciprocals of the other and, when multiplied with each other, the answer will be -1.

The reciprocal of 3 is -1/3.

To get the y-intercept, I did the same as above.

For #6:

x = 2 is a vertical line. To make a line perpendicular to it, that is, to make a line that intersects with it at 90°, the answer line will have to be horizontal.

That means that our answer is y = ?

We know that the line passes through a very specific point (2,1), and the line provided in the question already gives us the x value of this point. All we have to do is set y equal to the y value.

So, y = 1.

I hope this helps!

Answer:

If you go to desmos.com, select the graphing calculator, and enter in y = 3x you should be able to see how it's graphed! Hope this helps!

Answer:

(0, 0) and (1, 3)

happy to help!

answer: x=38

Step-by-step explanation:

hope I help you

Answer: Exact Form:

109^104

Decimal Form:

7.8046923 x 10^211

Step-by-step explanation:

Answer:

11336

Step-by-step explanation:

109*104= 11336

hdhdhdhdhdhdjudjdhdhsh

Answer:

y = -9/8x+7

Step-by-step explanation:

First Find The Slope: 7--2/0-8=-9/8

Find Y Intercept=7

Than Write Equation: y=-9/8x+7

Answer:

$10.09

Step-by-step explanation:

2.49 + 2.15 + 4.68 = 9.32

9.32 * 0.825 = 0.77

9.32 + 0.77 = 10.09

I hope this helped, please mark Brainliest, thank you!!

Answer:

0.002

Step-by-step explanation:

You just move the decimal over one place. This is the same as dividing by 10. Hope this helps!

Answer:

10,323,654

Step-by-step explanation:

Answer:

30 and 8

Step-by-step explanation:

30 - 8 = 22

Answer:

10) m: 6

    b: 5

    y= 6x +5

12)  m: -2

     b: -1

     y= -2x-1

14)  m: 1

     b: 0

     y= x

Step-by-step explanation:

The slope-intercept form is the form y=mx+b

m is the slope. You can find it by finding two points that the line intersects, and counting the number of units between them.

Remember the slope is "rise over run", so, the difference in y over the difference in x.

b is the y-intercept. You can find it by looking at where the line crosses the y-axis.

Hope this helps you out!

Answer:

Alright! BTW, the answer to the question is D :)

Step-by-step explanation:

Reflecting across the x-axis, the x-coordinate ALWAYS remains the same, but the y-coordinate is transformed into its opposite. If you forget this, fold along the x line, and you should be able to figure it out. Reflecting across the y-axis, the y-coordinate ALWAYS remains the same, but the x-coordinate is transformed into its opposite. If you forget this, fold along the y line, and you should be able to figure it out.

Hope I helped!

Answer:

x = 2, i[tex]\sqrt[]{3}[/tex],  -i [tex]\sqrt{3}[/tex]

x^3 - 2x^2+ 3x - 6 = 0

Hint: Solve by grouping.

Answer:

6 2/9

Step-by-step explanation:

56/9

Answer:

13

Step-by-step explanation:

19=209

 ?=143

19*143

=2717

2717/209

=13

Answer:

Store C

Step-by-step explanation:

$7.56÷7=$1.08 a candy bar

Answer:

$1400x  + $150

Step-by-step explanation:

Let the total cost of rent used for a month be $1400 plus a $150 application fee.

This means that;

Total cost (1 month) = $1400(1) + $150 = $1550

TO calculate the cost for x months, we will simply multiply x with the cost of rent for 1 month as shown.

The cost of rent for x month = 1400x * $150

The cost of rent for x month = $1400x  + $150 (application fee are paid only once)