Someone please help!!!!! i will mark brainliest :)

Answer:

0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives

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.

40% of the employees have positive indications of asbestos in their lungs

This means that [tex]p = 0.4[/tex]

a) Find the probability that exactly 10 employees will be tested in order to find 3 positives

2 within the first 9([tex]P(X = 2)[/tex] when [tex]n = 9[/tex]), and the 10th, with 0.4 probability. So

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

[tex]P(X = 2) = C_{9,2}.(0.4)^{2}.(0.6)^{7} = 0.1612[/tex]

0.4*0.1612 = 0.0645

0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives

Answer:

30%

Step-by-step explanation:

Simply divide your final value (750) by your initial value (2500).

Answer:

$25.00

Step-by-step explanation:

Answer:

0.05 kilowatts

Answer:

0. 05

Step-by-step explanation:

Answer:

1) x-2y 2) 2(13a-5)

Step-by-step explanation:

1) -1/2(-2x+4y)=2/2x-4/2y=x-2y

2) 26a-10=2(13a-5)

a/b The decay can be modeled by this equation, (1 - r), the r being the rate of decay. So it would be 1-0.115. (0.115 is your answer for a) You have to convert the percent into a decimal by moving the deicmal place two places to the left. 0.885 is your answer for b.

c. For function notation, that just means write an equation. So you want your decay times your inital.  V(t)=15000(0.885)^x. We get the V(t) from the directions that they want us to put it in; it's basically y.

d. Since it's two years, plug in 2 for x. This shows the decay after two years

V(t)=15000(0.885)^2

e. As with d, plug in 10 for x. V(t)=15000(0.885)^t

Answer:

The margin of error is of [tex]2.262\frac{6}{\sqrt{10}} = 4.29[/tex]

Step-by-step explanation:

We have the standard deviation for the sample. So the T-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.262

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.262\frac{6}{\sqrt{10}} = 4.29[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The equation that represents the margin of error is: [tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]

The given parameters are:

The margin of error is calculated using:

[tex]E = z_y \times \frac{\sigma}{\sqrt n}[/tex]

So, we have:

[tex]E = z_y \times \frac{6}{\sqrt {10}}[/tex]

The quantile at 95% confidence interval is 2.262

So, the equation becomes

[tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]

Hence, the equation that represents the margin of error is: [tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]

Read more about margin of error at:

https://brainly.com/question/14396648

Answer:

X/-2>5

Step-by-step explanation:

This is an Inequality

Answer:

6yx

Step-by-step explanation:

Answer:

(0,0) or Infinitely many solutions.

Step-by-step explanation:

-−4x−4y=0

−4x−4y+4y=0+4y(Add 4y to both sides)

−4x=4y

−4x/-4= 4y/-4

(Divide both sides by -4)

x=−y

4x+4y=0

4(−y)+4y=0

0=0

Answer:

p-56

Step-by-step explanation:

Since Pablo has 56 less peppermints

you would take Ryan's amount (P) and subtract 56 to get Pablo's amount

Answer:

3>-3

Step-by-step explanation:

make an open dot on 3 and make a line going towards the left.

The answer is A because when you divide into 175 to find the amount discounted, then you subtract that to 175 and you get 145.25

Answer:

B. (x+3)(2x2−7)

Step-by-step explanation:

2x3 + 6x2 - 7x- 21

(2x3+6x2)(-7x-21)

2x2(x+3)-7(x+3)

(x+3)(2x2-7)

Answer:

20%

Step-by-step explanation:

The computation is shown below:

Let something be x

[tex]\frac{1}{5} = \frac{x}{10} = \frac{x}{100} = x\%[/tex]

[tex]0.2 = \frac{x}{10} = \frac{x}{100} = x\%[/tex]

So if we see that 0.2 would be equivalent to the [tex]\frac{x}{10}[/tex] and then [tex]\frac{x}{100}[/tex] after than x percentage

Therefore according to this the x percentage is 20%

Hence, the x percentage is 20%

Answer:

a) the mean percentage of defective item produced is 2.52 %

b) the standard deviation of percentage of defective item produced is 1.01%

Step-by-step explanation:

Given that;

the percentage of defective items produced was 2%, 1.4%, 4%, 3%, 2.2%.

sample size n = 5

a) Calculate the mean for these data

mean percentage of defective item produced will be;

[tex]x^{bar}[/tex] = ∑x / n

[tex]x^{bar}[/tex] = ∑x / n = ( 2% + 1.4% + 4% + 3% + 2.2% ) / 5

[tex]x^{bar}[/tex]  = 12.6 / 5

[tex]x^{bar}[/tex]  = 2.52 %

Therefore, the mean percentage of defective item produced is 2.52 %

b) Calculate the standard deviation for these data

Formula for standard deviation is;

S = √( (∑(x-[tex]x^{bar}[/tex] )²) / (n-1) )

so we make a table;

x                   ( x - [tex]x^{bar}[/tex] )%                ( x - [tex]x^{bar}[/tex] )²%

2%                 -0.52                         0.2704

1.4%               -1.12                           1.2544

4%                  1.48                          2.1904  

3%                  0.48                         0.2304

2.2%.             -0.32                         0.1024

summation                                     4.048

so (∑(x-[tex]x^{bar}[/tex] )² = 4.048%  

so we substitute the value into our equation;

S = √( (∑(x-[tex]x^{bar}[/tex] )²) / (n-1) )

S = √( (4.048%) / (5-1) )

S = √( 4.048% / 4 )

S = √( 1.0121

S =  1.00598 % ≈ 1.01%

Therefore, the standard deviation of percentage of defective item produced is 1.01%

Answer:

[tex]P(x \ge 45000) = 0.77935[/tex]

Step-by-step explanation:

Given [Missing from the question]

Exhibit Teacher's Salary:

[tex]\bar x=50000[/tex]

[tex]s = 6500[/tex]

Required

Calculate [tex]P(x\ge 45000)[/tex]

First, we calculate the z score

[tex]z = \frac{x - \bar x}{s}[/tex]

[tex]z = \frac{45000 - 50000}{6500}[/tex]

[tex]z = \frac{-5000}{6500}[/tex]

[tex]z = -0.77[/tex]

[tex]P(x \ge 45000) = P(z \ge -0.77)[/tex]

[tex]P(x \ge 45000) = 1 - P(z \le -0.77)[/tex]

From the table:

[tex]P(z \le -0.77) = 0.22065[/tex]

So, we have:

[tex]P(x \ge 45000) = 1 - 0.22065[/tex]

[tex]P(x \ge 45000) = 0.77935[/tex]

[tex]x = 4[/tex]

55+85=140

180-140=40

10x=40

divide by ten on each side

x=4

Answer:

Right angle triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information:

Assume X represents the no. interviewed until 1 has advanced training.

X obeys a Geometric distribution with parameter 0.3.

X  [tex]\sim[/tex] Geom (0.30)

For geometric distribution, the probability density is:

[tex]P(X =x) = p(1-p) ^{x-1} \ \ \ where; x =1,2,3...[/tex]

TO calculate the required probability;

[tex]P(X =5) =0.30 (1-0.30)^{5-1}[/tex]

[tex]P(X =5) =0.30 (0.70)^{4}[/tex]

[tex]P(X=5) = 0.30 \times 0.2401[/tex]

[tex]\mathbf{P(X=5) = 0.07203}[/tex]

(b)

The expected no. of applicants that need to be interviewed are:

[tex]E(X)=\dfrac{1}{p}[/tex]

[tex]E(X)=\dfrac{1}{0.30}[/tex]

E(X) = 3.33

(c)

The mean and the variance can be computed as:

[tex]E(Y) = \dfrac{1}{p}[/tex]

[tex]E(Y) = \dfrac{1}{0.30}[/tex]

E(Y) = 3.33

[tex]V(Y)=\dfrac{1-p}{p^2}[/tex]

[tex]V(Y)=\dfrac{1-0.3}{0.3^2}[/tex]

[tex]V(Y)=\dfrac{0.7}{0.3^2}[/tex]

[tex]V(Y)=7.778[/tex]

Suppose  C represents the no. of the total cost and given that each interview costs $30.

Then C = 30Y

Recall that; C is constant for a random variable X

∴

E(C) = E(30Y)

E(C) = 30E(Y)

E(C) = 30*3.33

E(C) =99.9

E(C) [tex]\simeq[/tex] 100

V(C) = V(30Y)

V(C) = 900 V(Y)

V(C) = 900*7.778

V(C) = 7000.2

V(C) [tex]\simeq[/tex] 7000

Answer:

5/9

Step-by-step explanation:

Answer:

b = 5.5

Step-by-step explanation:

In a paralelogram

A = bh

Just plug in the numbers

they said A = 60

and the number 11 is the height

60 = 11b

Divide

b = 60/11

b = 5.454545454

Answer

The area of the shaded region under the standard normal curve is 0.4834.

Step-by-step explanation:

A random variable X is said to have a normal distribution with mean, µ and variance σ².

Then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z  N (0, 1).

The distribution of these z-variates is known as the standard normal distribution.

Compute the area under the curve between -2.13 and 0 as follows:

Thus, the area of the shaded region under the standard normal curve is 0.4834.

Answer:

x= 28

Step-by-step explanation:

combine the equations and set equal to 180, since a striaght line is 180 degrees. When combined you get, 6x + 12=180. Subtract, 180-12=168, then divide by 6 to get 28

Answer:

3584232 || N o- t h x—?

Step-by-step explanation:

Answer:

3584232

Step-by-step explanation:

Yes I do its Sunju #5984

Step-by-step explanation:

hakssmsjxxajxnskjznzmzKsjx

Answer:

Should be $11.25

Step-by-step explanation:

Since 25% is 1/4 you can just divide 45 by 4.

45/4 = 11.25

Answer: 33.75. 25% of 45 is 11.25. So 45-11.25=33.75

Step-by-step explanation: