The second of three numbers is 5 times the first. The third number is 3 more than the second. If the second is decreased by twice the third, the result is -21. Find the Three numbers

Answer:

[tex] \large\color{red}{ \tt{36n⁸}}[/tex]

Step-by-step explanation:

[tex] \large\color{lime}{ \tt{(3n×2n³)²}}[/tex]

[tex] \large\color{lime}{ \tt{(3n⁴ × 2)²}}[/tex]

[tex] \large\color{lime}{ \tt{(6n⁴)²}}[/tex]

[tex] \large\color{lime}{ \tt{6²(n⁴)²}}[/tex]

[tex] \large\color{lime}{ \tt{6²n⁸}}[/tex]

[tex] \large\color{lime}{ \tt{36n⁸}}[/tex]

Hope It's Help

Using the z-distribution, it is found that:

a) There are more than 10 successes and 10 failures in the sample, hence the conditions are met.

b) The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).

c) Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.

Item a:

The requirement is that there are at least 10 successes and 10 failures in the sample.

244 out of 500 voters are affiliated with party X, hence 500 - 244 = 256 are not, meaning that there are more than 10 successes and 10 failures in the sample, hence the conditions are met.

Item b:

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]\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 z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

244 out of 500 voters are affiliated with party X, hence:

[tex]n = 500, \pi = \frac{244}{500} = 0.488[/tex]

99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.43[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.546[/tex]

The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).

Item c:

Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.

A similar problem is given at https://brainly.com/question/16807970

Answer: For this equation, the value of x is - 2/3.

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

x = -4/6 = - 2/3 (Simplifying)

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

It means the value of -2/3 for x is correct

Answer:

[tex]x=-\frac{41}{60}[/tex]

Step-by-step explanation:

[tex]Grou. similar.terms:\\\frac{3}{4} -4x+\frac{7}{2} = -9x+\frac{5}{6} \\Find LCM (Lest Common Multiplier) and adjsut:\\[/tex]

[tex]-4x+\frac{3+14}{4} =-9x+\frac{5}{6} \\\\Subtract\\-4x+\frac{17}{4} - \frac{17}{4} =-9x+\frac{5}{6} - \frac{17}{4}\\After simplifying add\\-4x + 9x =-9x- \frac{41}{12} + 9x\\Simplify\\5x = - \frac{41}{12}\\Divide\\\frac{5x}{5} = \frac{-\frac{41}{12}}{5} \\Simplify.one.last.time\\x=-\frac{41}{60}[/tex]

Don't forget the - in front of the answer

Answer:

almonds are worth 50 cents per ounce

peanuts are worth 25 cents per ounce

almonds are worth more per ounce

Step-by-step explanation:

I just divided 50 cents by 2 to get the cost per ounce of the peanuts, and I plugged 1 into the x in the equation that was given for almonds

Answer:

Almonds=50 cents per ounce

peanuts are 25 cents per ounce

Answer:

Step-by-step explanation:

Assuming no wild cards ie. 52 card deck.

13 ways to fill the heart card

39 ways to fill the second card

38 ways to fill the third card

37 ways to fill the fourth card

13(39)(38)(37) = 712,842

Answer:

.

Step-by-step explanation:

Answer: 2 है यदि छत का क्षेत्रफल 600 वर्ग मीटर तथा चार दीवारों का क्षेत्रफल 1500 वर्ग मीटर हो तो

Step-by-step explanation:

1. 5

2.2

3.2,5

4.2,5

5.2

HOPE IT HELPS:)

PLS FOLLOW:)

#BRAINLIEST:)

Answer:

Step-by-step explanation:

So, we divide 1200 by 25 to find out how many words per minute he types.

1200 / 25 = 48

So, he types 48 words per minute.

Now, we multiply this by 45 to find out how many words he can type in 45 minutes.

48 x 45 = 2,160

Joseph can type 2,160 words in 45 minutes!

[tex]\left(\dfrac{5}{n+1}\right) \left( \dfrac{n+1}{n+3} \right)\\\\\\=\dfrac{5(n+1)}{(n+1)(n+3)} \\\\\\=\dfrac{5}{n+3}[/tex]

Answer:

3/5

The nth term of an AP = a + d(n -1)

By the looks of it, the next term in the sequence is the 4th term.

a = 9/10

d = 4/5 - 9/10 = -1/10

9/10 - 1/10(4 - 1) = 9/10 - 1/10(3)

9/10 - 3/10 = 6/10

3/5

Using the Central Limit Theorem, it is found that a sample size of 13 is needed.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For this problem, using a calculator:

The sample size needed is n when [tex]s = 4[/tex], as by the Empirical Rule, 95% of the measures are within 2 standard errors of the mean, hence [tex]2s = 8 \rightarrow s = 4[/tex]

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

[tex]4 = \frac{14.07}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 14.07[/tex]

[tex]\sqrt{n} = \frac{14.07}{4}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{14.07}{4}\right)^2[/tex]

[tex]n = 12.37[/tex]

Rounding up, a sample size of 13 is needed.

A similar problem is given at https://brainly.com/question/24663213

Answer:

x=34 because you simplify it and then take 45 and at it to it

Given info: -17/2 < (-1/2) - 4x ≤ 15/2

Find the value of x ?

Explanation:↓

Given in-equation is -17/2 < (-1/2) - 4x ≤ 15/2

⇛ -17/2 < (-1-8x)/2 ≤ 15/2

On multiplying with 2 then

⇛ 2(-17/2) < 2(-1-8x)/2 ≤ 2(15/2)

⇛ -17 < -1-8x ≤ 15

On adding 1 in the in-equation then

⇛ -17+1 < -1-8x+1 ≤ 15+1

⇛ -16 < -8x ≤ 16

On dividing by 8 in the in-equation then

⇛ -16/8 < -8x/8 ≤ 16/8

⇛ -2 < -x ≤ 2

⇛ 2 > x ≥ - 2

⇛ -2 ≤ x < 2

⇛ x € [-2,2)

Answer:→The solution set = { x : -2 ≤ x < 2, x€R }

The possible values of x = -2,-1,0,1

If you have any doubt, then you can ask me in the comments.

Answer:

I don't know answer what is

Answer:

I can't see the file or I can't open the file

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

The answer to this is c) 4.

Answer:y = 3(-2) - 7

Step-by-step explanation:

Answer:

I would say its a 16.5 %

Step-by-step explanation:

Answer:

A mixed number is a number with both a whole number and a fraction. For example 6 3/4, 2 1/2, 7 8/15. Hope this helped:)

Answer:

A mixed number is a number consisting of a whole number and a proper fraction.

Below are examples of mixed numbers:

[tex]4 \frac{1}{2}[/tex]

[tex]1 \frac{3}{5} [/tex]

Answer:

y = -2x +4

Step by step explanation:

y = -2x +4

Hello, hope you are having a splendid day.

First, we should calculate the slope of the line (Rise/Run)

The rise is how many units we move up or down; the run is how many units we move left or right.

Here, we move down 2 and over 1, so the slope is -2

Now, the y-intercept is where the graph touches the y-axis.

Here, the y-intercept is 4.

Our equation looks lke so:

y=-2x+4

Hope it helps. Ask me if you have any queries.

~An emotional teen who helps others on Brainly :)

[tex]MagicalNature[/tex]

Good luck.

Answer:

-5/2

Step-by-step explanation: 2 - 7 = -5 so that is your numerator and -2+ 4=2 is your denomonitaor.

Answer:

Here plz leave review thx

Step-by-step explanation:

Answer:

x = 2, x = - 5

Step-by-step explanation:

To factor it, you can split the middle term to get:

x² - 2x + 5x - 10 = 0

Then, you can factor the first two and the last two to get:

x (x - 2) + 5(x - 2) = 0

And if you divide both sides by (x - 2) you get:

(x - 2) (x + 5) = 0

Finally, this can be solved by the Zero Product Property which states that if x*y=0, then x and/or y has to be equal to 0. If you apply it to the eqaution you get:

x - 2 = 0, x + 5 = 0

which results in:

x = 2, x = - 5

Answer:

1.  y = 5|x|   ⇒vertical stretch

2. y = ⅓|x|  ⇒vertical compression

3. y = 3|x|   ⇒vertical stretch

Step-by-step explanation:

Given the parent absolute value function, f(x) = |x|:

The transformed function, y = a|x|, where |a| > 1, represents the vertical stretch of the parent graph by a factor of a.  

Therefore, the absolute value equation, y = 5|x|, represents a vertical stretch of the parent function by a factor of 5. The graph of y = 5|x| is narrower than the parent function, f(x) = |x|.  

The transformed function, y = a|x|, where 0< |a| < 1, represents the vertical compression of the parent graph by a factor of a.  

Therefore, the absolute value equation, y = ⅓|x|, represents a vertical stretch of the parent function by a factor of ⅓. The graph of y = ⅓|x| is wider than the parent function, f(x) = |x|.  

Similar to question 1, the absolute value equation, y = 3|x|, represents a vertical stretch of the parent function by a factor of 3. The graph of y = 3|x| is narrower than the parent function, f(x) = |x|.  

Attached are the graphs of the given absolute value functions, where it shows the transformations to the parent function, f(x) = |x|.  

The larger number is obtained as 1.3.

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 1.05 and 1.3.

The decimal 1.3 can be written as 1.30.

Now, the two decimals can be compared as below,

1.05 and 1.30

Both the decimals have equal integer part.

Digit at tenths of 1.05 is 0 and for 1.30 is 3.

Since, 3 > 0.

⇒  1.30 > 1.05

Hence, 1.3 is greater than 1.05.

To know more about decimal number click on,

brainly.com/question/4708407

#SPJ2

Answer:

[tex]1.3 \sqrt{b {}^{2} } [/tex]

Pull terms out from under the radical, assuming positive real numbers.

[tex]3b[/tex]

[tex]2. - 2 \sqrt{x {}^{2} } [/tex]

Pull terms out from under the radical, assuming positive real numbers.

[tex] - 2x[/tex]

Answer:

3 baskets and 6 oranges, 9 pears, 4 bananas

Step-by-step explanation:

the common denominator is 3