1240 at 8% compounded annually for 3 years

Answer:

Three billion eight million nine-hundred seven thousand eight.

Step-by-step explanation:

Write out each of the numbers.

Answer:

5(2)^3 + (2)^2 - 2(2)

5(8) + 4 - 4

=40

Step-by-step explanation:

Since X = 2, you'll put 2 in the place of x, that means anywhere you find an X, you'll replace it with an X.

Answer:

always the same

Step-by-step explanation:

Step-by-step explanation:

and plot the normal 1 , I am pretty sure

Answer:

A prospective study

Step-by-step explanation:

A prospective study watches for outcomes, such as the development of a disease (in this case cancer). It also usually involves taking a group of subjects and watching them over a long period of time. The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).

The type of observational study is  A prospective study.

We have given,

A famous study examined the smoking habits of British doctors and whether or not the doctors developed various types of cancers.

It is the period before the disease begins to develop and provides the greatest opportunity for improving health.

A prospective study watches for outcomes, such as the development of a disease (in this case cancer).

It also involves taking a group of subjects and watching them over a long time period.

The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).

To learn more about the disease visit:

https://brainly.com/question/1382377

Using the binomial distribution, it is found that:

a) 0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.

b) The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.

c) 0.8908 = 89.08% probability that more than 17 chips in the sample are good.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

In this problem:

Item a:

Supposing 5% defective, we have that [tex]p = 0.05[/tex].

The probability is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

Then

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

[tex]P(X = 0) = C_{25,0}.(0.05)^{0}.(0.95)^{25} = 0.2774[/tex]

[tex]P(X = 1) = C_{25,1}.(0.05)^{1}.(0.95)^{24} = 0.3650[/tex]

[tex]P(X = 2) = C_{25,2}.(0.05)^{2}.(0.95)^{23} = 0.2305[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2774 + 0.3650 + 0.2305 = 0.8729[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.8729 = 0.1271[/tex]

0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.

Item b:

The mean is:

[tex]E(X) = np = 25(0.05) = 1.25[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{25(0.05)(0.95)} = 1.09[/tex]

The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.

Item c:

20% are defective, so 80% are good, which means that [tex]p = 0.8[/tex]

The probability is:

[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)[/tex]

Then

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

[tex]P(X = 18) = C_{25,18}.(0.8)^{18}.(0.2)^{7} = 0.1108[/tex]

[tex]P(X = 19) = C_{25,19}.(0.8)^{19}.(0.2)^{6} = 0.1633[/tex]

[tex]P(X = 20) = C_{25,20}.(0.8)^{20}.(0.2)^{5} = 0.1960[/tex]

[tex]P(X = 21) = C_{25,21}.(0.8)^{21}.(0.2)^{4} = 0.1867[/tex]

[tex]P(X = 22) = C_{25,22}.(0.8)^{22}.(0.2)^{3} = 0.1358[/tex]

[tex]P(X = 23) = C_{25,23}.(0.8)^{23}.(0.2)^{2} = 0.0708[/tex]

[tex]P(X = 24) = C_{25,24}.(0.8)^{24}.(0.2)^{1} = 0.0236[/tex]

[tex]P(X = 25) = C_{25,25}.(0.8)^{25}.(0.2)^{0} = 0.0038[/tex]

Then:

[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25) = 0.1108 + 0.1633 + 0.1960 + 0.1867 + 0.1358 + 0.0708 + 0.0236 + 0.0038 = 0.8908[/tex]

0.8908 = 89.08% probability that more than 17 chips in the sample are good.

A similar problem is given at https://brainly.com/question/24863377

sorry i dk

.................................

Answer:

485

Step-by-step explanation:

first term = 16

second term = 23

common difference= second -. first

=23-16

=7

68 term= a + 67d

=16+67×7

=16 +469

=485

Answer:

3 ÷ 0.25

Step-by-step explanation:

There are three squares, so 3.

Each square is divided into four squares,

One square out of four squares is,

1 / 4 = 0.25

Therefore,

3 ÷ 0.25

Answer:

1.33333333333

Step-by-step explanation:

2-(2/3)= 1.33333333333

Answer:

sorry need lng po

Step-by-step explanation:

pa brainlies

Answer:

[tex]x = \frac{60}{5} = 12[/tex]

..........................................

Step-by-step explanation:

260000*0*54*30

$421200

Answer:

x = 6/11

Step-by-step explanation:

−23(3x−4)+3x=56

Distribute

-69x + 92 +3x = 56

Combine like terms

-66x+92 = 56

Subtract 92 from each side

-66x+92-92 = 56-92

-66x =-36

Divide each side by -66

-66x/-66 = -36/-66

x = 6/11

Answer:

x=6/11

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Please refer to the previously asked question:

https://brainly.com/question/24265969?referrer=searchResults

Answer:

-12

-18

Step-by-step explanation:

-n+8=20

-n=20-8

n=12

-36=n-18

-n=-18+36

n=-18

Answer:

Step-by-step explanation:

0.05 divided by 1/10

0.05 : 1/10 =

0.05 * 10 =

0.5

Answer:

the inverse function is f^-1(x) = (x-1)^3

Answer:

14(120)t

Step-by-step explanation:

hopes this helps

Answer:

30%

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/320

Fraction form 1/5 Decimal form 0.2

Step-by-step explanation:

hope this helps

Answer:

x = 50.5°

Step-by-step explanation:

Use SOH CAH TOA... Since the adjacent and hypotenuse are given, you must use cosine.

cos(x) = 14/22

cos^-1 (14/22) = 50.5°

Answer:

35

Step-by-step explanation:

4.3 1/2 * 2 1/2 = 35/1 =35

If this is wrong i'm sorry

Answer:

fh

Step-by-step explanation:

Answer:

A reflection over the y axis

Step-by-step explanation:

Because reflection is an image produced by or as if by a mirror.

Answer:

Sin0=7/25

Step-by-step explanation:

Answer:

y = 4x + 12

Step-by-step explanation:

y = mx + b

m = slope = 4

substitute the point (-2, 4) as (x, y)

4 = 4(-2) + b

4 = -8 + b

12 = b

Hope this helps! Pls give brainliest!

The equation of line is y= 2x+ 8.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Slope= 2

and, Passes through (-2, 4)

So, using the slope- intercept form is

y= mx+ b

4 = 2(-2)+ b

4 = -4 + b

b=8

And, the equation of line is

y= mx+ b

y= 2x + 8

Hence, the equation of line is y= 2x+ 8.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5