0.36x=-1.8

0.36x/0.36=-1.8/0.36

x=-5
What property was applied to solve this equation below?

Answer:

a) [tex]n = 20[/tex] and [tex]p = 0.25[/tex]

b) The mean number of correct guesses in 20 cards for subjects who are just guessing is 5.

c) 0.2023 = 20.23% probability of exactly 5 correct guesses in 20 cards if a subject is just guessing

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

A. The count of correct guesses in 20 cards has a binomial distribution. What are n and p?

20 cards mean that [tex]n = 20[/tex]

A subject who is just guessing has a one in four chance of guessing correctly on each card, which means that [tex]p = \frac{1}{4} = 0.25[/tex]

B. What is the mean number of correct guesses in 20 cards for subjects who are just guessing?

Expected value, so

[tex]E(X) = np = 20*0.25 = 5[/tex]

The mean number of correct guesses in 20 cards for subjects who are just guessing is 5.

C. What is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{20,5}.(0.25)^{5}.(0.75)^{15} = 0.2023[/tex]

0.2023 = 20.23% probability of exactly 5 correct guesses in 20 cards if a subject is just guessing

Answer:

c

Step-by-step explanation:

(-1)x5= -5

-5+6=1

Answer:

The answer is C.

Step-by-step explanation:

Answer:

[tex]Total = 1.02n[/tex]

Step-by-step explanation:

Given

[tex]Earnings = n[/tex]

[tex]Raise = 2\%[/tex] --- not 296

[tex]Total = n + 0.02n[/tex]

Required

Simplify the expression for total earning

The total amount is derived from:

[tex]Total = Earnings + Raise * Earnings[/tex]

[tex]Total = n + 2\% * n[/tex]

Express percentage as decimal

[tex]Total = n + 0.02 * n[/tex]

Now, we can solve further:

[tex]Total = n + 0.02n[/tex]

[tex]Total = 1.02n[/tex]

Hence, the simplified expression is 1.02n

Answer:

1.02n

Step-by-step explanation:

Answer:

a) [tex]P(D'/L)=0.03[/tex]

b) [tex]P(D/L')=0.7[/tex]

Step-by-step explanation:

From the question we are told that

Probability of discovered [tex]P(D)=0.88[/tex]

Probability of aircraft with locator [tex]P(L/D)=0.72[/tex]

Probability of lost aircraft without locator [tex]P(L'/D')=0.86[/tex]

Generally the probability that aircraft are not discovered is mathematically given as

[tex]P(D')=1-0.88[/tex]

[tex]P(D')=0.12[/tex]

Generally the probability that aircraft with locator are discovered is mathematically given as

[tex]P(L'/D)=1-0.72[/tex]

[tex]P(L'/D)=0.28[/tex]

Generally the  Probability of lost aircraft without locator mathematically given as

[tex]P(L/D')=1-0.86[/tex]

[tex]P(L/D')=0.14[/tex]

Generally the  Probability of having a locator mathematically given as

[tex]P(L)=P(L/D)*P(D)+P(L/D')*P(D')[/tex]

[tex]P(L)=0.72*0.88+0.14 *0.12[/tex]

[tex]P(L)=0.6504[/tex]

a)Generally the  Probability of getting lost even with locator mathematically given as

[tex]P(D'/L)=\frac{P(L/D')(P(D')}{P(L)}[/tex]

[tex]P(D'/L)=\frac{0.14*0.12}{0.6504}[/tex]

[tex]P(D'/L)=0.0258302583[/tex]

[tex]P(D'/L)=0.03[/tex]

b)Generally the  Probability of getting lost even with locator mathematically given as

[tex]P(D/L')=\frac{P(L'/D)(P(D)}{P(L')}[/tex]

[tex]P(D/L')=\frac{0.28*0.88}{1-0.6504}[/tex]

[tex]P(D/L')=0.704805492[/tex]

[tex]P(D/L')=0.7[/tex]

Answer:

Step-by-step explanation:YOU HAVE TO SHOW ME THE WHOLE THING SO THAT I CAN ANSWER IT DUH

0.007, also known as the thousandths place in decimals.

Answer:

24 tons

Step-by-step explanation:

Have a great day!!

The Answer is 24

Hope this helps<3

Step-by-step explanation:

(3,4) would be the answer

Answer:

They are not equivalent

Step-by-step explanation:

1:2 is the same as 2:4

2:4 does not equal 3:4

Answer:

0.2690 kg

Step-by-step explanation:

Given that:

For cutting a 4.5 kg block of cheese; the standard deviation:

[tex]S_x = 0.1 \ kg[/tex]

For a large no of blocks,  at 95% confidence level;

Using the t table; where the degree of freedom is infinity or > 30

t-distribution (t) = 2

∴

[tex]P_x = tS_x[/tex]

[tex]P_x = 2 \times 0.1[/tex]

[tex]P_x = 0.2 \ kg[/tex]

The system uncertainty as a result of the accuracy [tex]B_x[/tex] is:

[tex]B_x = 1.5\% \ of \ reading[/tex]

[tex]B_x = (\dfrac{1.5}{100})(12 kg)[/tex]

[tex]B_x = 0.18 \ kg[/tex]

The total uncertainty  for a single experiment with a 95% confidence interval will be:

[tex]w_s = ( B_x^2 + P_x^2)^{\frac{1}{2}[/tex]

[tex]w_s = (0.18^2 + 0.2^2)^{\frac{1}{2}[/tex]

[tex]\mathbf{w_s = 0.2690 \ kg}[/tex]

Answer:

i agree with he or she they are correct as well

Step-by-step explanation:

Answer:

Unknown

Step-by-step explanation:

Since you have 35 C, you will have 35 G. Without knowing the number of thymine, the number of adenine is unknown .

That is all the information you can get from this. Just because there are 35 C and G, there doesn't have to be an equal number of A and T

Answer: 15%

Step-by-step explanation: I just did it

Answer:

28.911

Step-by-step explanation:

you just have to open up a calculator lol

Answer:

80 Ounces!  

80 ounces is equivalent to 5 pounds of flour.

Answer:

made 25%

Step-by-step explanation:

Answer:

0.126

Step-by-step explanation:

Given :

Total time interval = 720

Number of interval in which one vehicle is detected =508

Proportion of atleast one detected vehicle :

508 / 720 = 0.7056

The mean arrival rate per second :

P(x ≥ 3) = 1 - P(x ≤ 3)

P(x ≥ 3) =1 - [p(x =0) + p(x = 1) + p(x =2) + p(x = 3)]

P(x ≥ 3) = 1 - 0.8745

P(x ≥ 3) = 0.1255

P(x ≥ 3) = 0.126

Answer:

40 + 25m

40 + 25(5) = $165 after 5 months

Step-by-step explanation:

40 + 25m

40 + 25(5) = $165

Answer: 375

Step-by-step explanation: 1500 % 4 = 375

PD: que caros dados!

Answer:

A

Step-by-step explanation:

A, to reflect in the y axis we take the negative x value and keep the y the same.

if my answer helps please mark as brainliest.

Answer:

28a +16

Step-by-step explanation:

11a + 22 + 17a - 6

28a +16

Answer:

28a + 16

Step-by-step explanation:

Combine like terms. Like terms are terms with the same variables, as well as same amount of that variable.

In this case:

11a + 17a + 22 - 6

(11a + 17a) + (22 - 6)

28a + 16

28a + 16 is your answer.

~

Answer:

x>9

Step-by-step explanation:

[tex]7-\frac{2}{3} x[/tex]<x-8

21-2x<3x-24

5x>45

x>9

Step-by-step explanation:

y2 - y1 / x2 - x1  

2 = 5 - y / (3 - 1)

4 = 5 - y

y = 1

So the line with slope 2 passes through the points (1,1) and (3,5).

Hope this helps!

Answer:

i think its 70 percent

Step-by-step explanation:

9514 1404 393

Answer:

  4c^3 -2c^2 +6c +1

Step-by-step explanation:

We can substitute c for x either before or after we combine the functions.

  (f +g)(c) = f(c) +g(c)

  (f +g)(c) = (3c^2 +6c -5) +(4c^3 -5c^2 +6)

  (f +g)(c) = 4c^3 +c^2(3-5) +6c +(-5+6) . . . . group like terms

  (f +g)(c) = 4c^3 -2c^2 +6c +1

Answer:

Step-by-step explanation: