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3 years ago

Which transformation produces an image that is not congruent to the original figure?

Mathematics

2 answers:

Digiron [165]3 years ago

7 0

The answer is dilation because it changes the size of the original figure, so it is no longer congruent.

swat323 years ago

7 0

A dilation produces an image not congruent to the original figure because the size of the preimage is different from the image, it is not a rigid transformation

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P(5,3); y=4x<br><br>if you help me I will be thankful forever pls

horrorfan [7]

Y= -1/4x + 4.25, perdendicular then it must be the opposite of 4x which is -1/4. Then you multiply it with 5 and then add or subtract a number so you can find 3. So -1/4× 5 + 4.25= 3. Here you gooo!

6 0

2 years ago

What is the formula for the expected number of successes in a binomial experiment with n trials and probability of success p? C

charle [14.2K]

Answer:

$(D)E[ X ] =np.$

Step-by-step explanation:

Given a binomial experiment with n trials and probability of success p,

$f(x)=\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}, 0\leq x\leq n$

$E(X)=\sum_{x=0}^{n}xf(x)= \sum_{x=0}^{n}x\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}$

Since each term of the summation is multiplied by x, the value of the term corresponding to x = 0 will be 0. Therefore the expected value becomes:

$E(X)=\sum_{x=1}^{n}x\left(\begin{array}{c}n\\x\end{array}\right)p^x(1-p)^{n-x}$

Now,

$x\left(\begin{array}{c}n\\x\end{array}\right)= \frac{xn!}{x!(n-x)!}=\frac{n!}{(x-)!(n-x)!}=\frac{n(n-1)!}{(x-1)!((n-1)-(x-1))!}=n\left(\begin{array}{c}n-1\\x-1\end{array}\right)$

Substituting,

$E(X)=\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^x(1-p)^{n-x}$

Factoring out the n and one p from the above expression:

$E(X)=np\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^{x-1}(1-p)^{(n-1)-(x-1)}$

Representing k=x-1 in the above gives us:

$E(X)=np\sum_{k=0}^{n}n\left(\begin{array}{c}n-1\\k\end{array}\right)p^{k}(1-p)^{(n-1)-k}$

This can then be written by the Binomial Formula as:

$E[ X ] = (np) (p +(1 - p))^{n -1 }= np.$

5 0

3 years ago

A gym charges a one-time fee of $75 to join,plus membership dues of $25 per month. Which equation represents the total cost,c, o

Ad libitum [116K]

Answer:

the answer is B

Step-by-step explanation:

75 is a one time payment. 25 is the amount that you will pay permonth

5 0

3 years ago

Read 2 more answers

You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate

DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

$A=P(1+\frac{r}{n})^{nt}$ , where

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ $3000=2000(1+\frac{0.04}{12})^{12t}$

- Divide both sides by 2000

∴ $1.5=(1+\frac{1}{300})^{12t}$

∴ $1.5=(1\frac{1}{300})^{12t}$

- Change the mixed number to an improper fraction

∴ $(1.5)=(\frac{301}{300})^{12t}$

- Insert ㏒ for both sides

∴ $log(1.5)=log(\frac{301}{300})^{12t}$

- Remember $log(a)^{n}=nlog(a)$

∴ $log(1.5)=(12t)log(\frac{301}{300})$

- Divide both sides by $log(\frac{301}{300})$

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

5 0

3 years ago

Determine which of the following statements is NOT correct. 00:00 The equation x + 1.793 = 2.42 can be rewritten as x-1.793 = 2.

Mademuasel [1]

• x+1.793= 2.42

x-1.793= 2.42-1.793 FALSE

• 5.25x = 15.75

Solve for x, by dividing both sides of the equation by 5.25

x = 15.75/5.25

x = 3 TRUE

• The equation x = 2.4 *11.62 can be rewritten as x = 11.62 * 2.4. TRUE

• The solution to the equation x + 9.43 = 16.09 is x = 6.66.

x+9.43 = 16.09

Subtract 9.43 from both sides of the euqation:

x-9.43+9.43= 16.09-9.43

x = 6.66 TRUE

7 0

1 year ago