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3 years ago

PLEASE HELP I ONLY HAVE 10 MINS!!

1 answer:

6 0

The answer to both equations is 'A'. For the first you just input the value of 20 to replace n and get 700. (Side-note: the number 20, which is your variable, should be nowhere in the function so you know b is wrong). so now that you have your answer 700 the second part is self explanatory.

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(Puzzle 2 - Scientific Notation Directions: Using the digits 1 to 9 to fill in the boxes only once, write the largest and smalle

leva [86]

Answer:

8x(10)^9 - 2 x (10)^1

1x(10)^3 - 9 x (10)^2

Step-by-step explanation:

3.1 X (10)^4- 6.5 X (10)^2

= 31000- 650

= 30,350

For greater number

_x10^blank - _ x 10^_

8x(10)^9 - 2 x (10)^1 ( we use 9 as the power because greater number used as power gives the bigger number and the next smaller number 8 as base. Similarly we use smaller number for power to get a smaller for the greatest difference)

= 8,000,000,000 -20

= 7,999,999,980

For smaller number

_x10^blank - _ x 10^_

1x(10)^3 - 9 x (10)^2 ( we use 3 as the power because smaller number used as power gives the smaller number and the next smallest number 1 as base. Similarly we use next smaller number for power to get the next smaller for the smallest difference)

= 1000- 900

= 100

We fill in the blanks keeping in mind that we do not have to repeat the numbers from 1-9 and also the numbers should have such an arrangement that they show the smallest and largest possible differences.

4 0

3 years ago

The probability that a lab specimen contains high levels of contamination is 0.14. A group of 4 independent samples are checked.

Shtirlitz [24]

Answer:

a) 0.5470 = 54.70% probability that none contain high levels of contamination.

b) 0.3562 = 35.62% probability that exactly one contains high levels of contamination.

c) 0.4530 = 45.30% probability that at least one contains high levels of contamination.

Step-by-step explanation:

For each sample, there are only two possible outcomes. Either they contain high levels of contamination, or they do not. The samples are independent. So we use the binomial probability distribution to solve this question.

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.

The probability that a lab specimen contains high levels of contamination is 0.14.

This means that $p = 0.14$

A group of 4 independent samples are checked.

This means that $n = 4$

(a) What is the probability that none contain high levels of contamination?

This is P(X = 0)

$P(X = 0) = C_{4,0}.(0.14)^{0}.(0.86)^{4} = 0.5470$

0.5470 = 54.70% probability that none contain high levels of contamination.

(b) What is the probability that exactly one contains high levels of contamination?

This is P(X = 1)

$P(X = 1) = C_{4,1}.(0.14)^{1}.(0.86)^{3} = 0.3562$

0.3562 = 35.62% probability that exactly one contains high levels of contamination.

(c) What is the probability that at least one contains high levels of contamination?

Either none of the samples contain high levels of contamination, or at least one does. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want to find $P(X \geq 1)$ . So

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.5470 = 0.4530$

0.4530 = 45.30% probability that at least one contains high levels of contamination.

8 0

3 years ago

Please help quickly !!!!!!!!!

Oksanka [162]

Answer:

1/2

Step-by-step explanation:

The formula for slope is (y2 - y1)/(x2-x1)

In this case, it is (2 - 1/2)/(4-1) which is 1.5 over 3. The slope is 1/2

5 0

3 years ago

brandon has $700 in a savings account at the beginning of the year. he withdraws $30 each week to go out to eat. he wants to fin

Damm [24]

Answer:

18 weeks

Step-by-step explanation:

Initial amount stored in savings account = $700

Final minimum amount required in the account = $150.

Thus,

The total amount of money he can spend = (700 - 150) = $550

Each week he is withdrawing $30 to go out to eat.

Since , maximum money he can spend should be multiple of 30 ,

Thus maximum he can spend $540

number of weeks he can do this = $\frac{540}{30}$

= 18.

So, he can take out $30 each week to go out to eat for 18 weeks only.

6 0

3 years ago

Calculate the area of the red triangle to find the area of the garden. Show your work.

sergiy2304 [10]

Area of a triangle = [B(h)] : 2 = (ab) : 2 = [90ft x 120ft] : 2 = 5400ft squared.

5 0

2 years ago