What is 2 tenths + 2 tenths =

Which of the following logarithmic expressions are equivalent to ln sqrt xy +ln (x/e)? select all that apply

spayn [35]

Answer: Option d.

Step-by-step explanation:

It is important to remember the following proporties in order to solve the exercise:

$ln(a)+ln(b)=ln(ab)\\\\ln(a)-ln(b)=ln(\frac{a}{b})\\\\ln(a)^m=mln(a)\\\\ln(e)=1$

In this case you have this expression given in the exercise:

$ln(\sqrt{xy})+ln(\frac{x}{e})$

Since equivalent expression have always the same value, you can simplify the expression given in order to find an equivalent expression.

Therefore, applying the corresponding properties, you get the following equivalent expression (Remember that $\sqrt[n]{a^n}=a$ ):

$ln(\sqrt{xy})+ln(\frac{x}{e})=ln(\sqrt{xy})+ln(x)-ln(e)=ln(x\sqrt{xy})-1$

3 0

3 years ago

Ok please help, and if u explain how you got it then ill give you brainly

Naya [18.7K]

Answer:

x=28

Step-by-step explanation:

So a triangle is 180 degrees in total then you would subtract 40 from 180 because the top angle and leaving you with 140 then divide by 5 because the bottom two getting you 28 then you could just plug in 28 for x on each angle

180-40=140

140/5=28

2(28)=56

56 is angle A

8 0

3 years ago

Read 2 more answers

1/5 of what equals 4?

MaRussiya [10]

Answer:

20

Step-by-step explanation:

20/5 = 4

hope that helps:)

5 0

3 years ago

Read 2 more answers

At a local hospital, 35 babies were born. if 23,were boys, what percentage of the newborns were boys?

Vesnalui [34]

So the fraction would be 23/35 are boys. If you do the division (23 ÷ 35) the answer is around 0.657.

That converted into a percentage (×100) is 65.7%

5 0

4 years ago

When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

HACTEHA [7]

Answer:

(a) The value of P (X ≤ 2) is 0.8729.

(b) The value of P (X ≥ 5) is 0.0072.

(c) The value of P (1 ≤ X ≤ 4) is 0.7154.

(d) The probability that none of the 25 boards is defective is 0.2774.

(e) The expected value and standard deviation of X are 1.25 and 1.09 respectively.

Step-by-step explanation:

The random variable X is defined as the number of defective boards.

The probability that a circuit board is defective is, p = 0.05.

The sample of boards selected is of size, n = 25.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={25\choose x}0.05^{x}(1-0.05)^{25-x};\ x=0,1,2,3...$

(a)

Compute the value of P (X ≤ 2) as follows:

P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)

$P(X\leq =x)=\sum\limits^{2}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.2774+0.3650+0.2305\\=0.8729$

Thus, the value of P (X ≤ 2) is 0.8729.

(b)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = 1 - P (X < 5)

$=1-\sum\limits^{4}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=1-0.9928\\=0.0072$

Thus, the value of P (X ≥ 5) is 0.0072.

(c)

Compute the value of P (1 ≤ X ≤ 4) as follows:

P (1 ≤ X ≤ 4) = P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)

$=\sum\limits^{4}_{x=1}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.3650+0.2305+0.0930+0.0269\\=0.7154$

Thus, the value of P (1 ≤ X ≤ 4) is 0.7154.

(d)

Compute the value of P (X = 0) as follows:

$P(X=0)={25\choose 0}0.05^{0}(1-0.05)^{25-0}=1\times 1\times 0.277389=0.2774$

Thus, the probability that none of the 25 boards is defective is 0.2774.

(e)

Compute the expected value of X as follows:

$E(X)=np=25\times 0.05=1.25$

Compute the standard deviation of X as follows:

$SD(X)=\sqrt{np(1-p)}=\sqrt{25\times 0.05\times (1-0.05)}=1.09$

Thus, the expected value and standard deviation of X are 1.25 and 1.09 respectively.

8 0

4 years ago