Which equation is true for x =

Let the probability of success on a Bernoulli trial be 0.26. a. In five Bernoulli trials, what is the probability that there wil

andreyandreev [35.5K]

Answer:

0.3898 = 38.98% probability that there will be 4 failures

Step-by-step explanation:

A sequence of Bernoulli trials forms the binomial probability distribution.

Binomial probability distribution

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

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Let the probability of success on a Bernoulli trial be 0.26.

This means that $p = 0.26$

a. In five Bernoulli trials, what is the probability that there will be 4 failures?

Five trials means that $n = 5$

4 failures, so 1 success, and we have to find P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{5,1}.(0.26)^{1}.(0.74)^{4} = 0.3898$

0.3898 = 38.98% probability that there will be 4 failures

4 0

3 years ago

If Y varies directly with X solve the following :

BARSIC [14]

Answer:

a) x = -270

b) y = 304/9 or y = 33.78

c) x = -37.8

Step-by-step explanation:

y varies directly with x so y = kx

a)

y = kx

k = y/x

k = 10/-30 = -1/3

So

y = -1/3 x

If y = 90 then

90 = -1/3 x

x = 90 *(-3) = -270

b)

k = y/x

k = -19/-4.5

k = 38/9

So

y = 38/9 x

If x = - 8 then

y = 38/9 *(-8)

y = 304/9 or y = 33.78

c)

k = y/x

k = -4.3 / 12.9

k = - 1/3

So

y = -1/3 x

If y = 12.6 then

12.6 = -1/3 x

x = 12.6 *(-3)

x = -37.8

5 0

3 years ago

Find area of the triangle ABC with angle A = 71.273 degree, length b = 12.6 and length

mylen [45]

Answer:

im not sure if this is right or not but you can try it if you want

Step-by-step explanation:

A. 75.8 square units B. 76.4 square units C. 76.8 square units D. 79.4 square units

6 0

3 years ago

Find the distance between two points ( -1,1) and (2,-4)

sladkih [1.3K]

Answer:

The distance between two points ( -1,1) and (2,-4) is:

$d=\sqrt{34}$ or d = 5.8 units.

Step-by-step explanation:

Given the points

(-1, 1)

(2, -4)

Finding the distance between (-1, 1) and (2, -4) using the formula

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

substitute (x₁, y₁) = (-1, 1) and (x₂, y₂) = (2, -4)

$=\sqrt{\left(2-\left(-1\right)\right)^2+\left(-4-1\right)^2}$

$=\sqrt{\left(2+1\right)^2+\left(-4-1\right)^2}$

$=\sqrt{3^2+5^2}$

$=\sqrt{9+25}$

$=\sqrt{34}$ units

or

$d = 5.8$ units

Therefore, the distance between two points ( -1,1) and (2,-4) is:

$d=\sqrt{34}$ or d = 5.8 units.

3 0

3 years ago

data set A is {30, 45, 32, 50, 33, 40, 44, 32}. Data set B is {28, 43, 30, 48, 35, 42, 46, 34}. which statement best compares th

3241004551 [841]

Answer:

the mean in set B is equal to the mean in set A (option C)

Question:

The question is incomplete as the answer choices were not given.Let's consider the following question:

Data set A is {30, 45, 32, 50, 33, 40, 44, 32}. Data set B is {28, 43, 30, 48, 35, 42, 46, 34}. which statement best compares the two data sets?

a) median for set A is equal to the median for set B

b) Range for set A is greater than range for set B

c) The mean in set B is equal to the mean in set A

Step by step explanation:

We can describe a data set using four ways:

Center, spread, shape and unusual features.

Let's consider the center and spread.

Center: This is the median of the distribution.

Spread: This is the variation of the data set. If the range is wide, the spread is larger and If the range is small, the spread is smaller.

Rearranging the data set:

A = {30, 32, 32, 33, 40, 44, 45, 50}

B = {28, 30, 34, 35, 42, 43, 46, 48}

From the data:

The median for set A = (33+40)/2 = 73/2= 36.5

The median for set B = (35+42)/2 = 77/2= 38.5

Range = highest value - lowest value

The data ranges from 30 to 50 (range = 20) for A

The data ranges from 28 to 48 (range = 20) for B

Mean for set A = (30+32+32+33+40+4445+50)/8 = 306/8 = 38.25

Mean for set B = (28+30+34+35+42+43+46+48)/8= 306/8 = 38.25

In both data set the mean is equal to 38.25.

Therefore the statement that best compares the two data sets is the mean in set B is equal to the mean in set A (C)

8 0

4 years ago

Which equation is true for x = –6 and x = 2?