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kow [346]
2 years ago
9

PLEASE HELP WILL GIVE BRAINLIEST AND 5.0 STAR RATING

Mathematics
2 answers:
mart [117]2 years ago
5 0
(1,9), Hope it helps…………

Citrus2011 [14]2 years ago
4 0

Moving left subtracts from the x value the number you move.

In (2,9) the x value is the number 2

You move 1 unit to the left so subtract 1 from 2:

2-1 = 1

You will be at (1,9)

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At Ersatz University, the graduating class of 480 includes 96 guest students from Latvia. A sample of 10 students is selected at
grandymaker [24]

Answer:

A).3222

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are from Latvia, or they are not. We are choosing students without replacement. However, since the sample size is large, we can use the binomial distribution to approximate the hypergeometric 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.

480 students, of which 96 are from Latvia:

This means that p = \frac{96}{480} = 0.2

Sample of 10 students:

This means that n = 10

Probability that the sample contains at least three Latvian students.

Either there are less than three students from Latvia, or there are at least three. The sum of the probabilities of these events is 1. So

P(X < 3) + P(X \geq 3) = 1

We want P(X \geq 3) = 1 - P(X < 3), in which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

So

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

P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074

P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684

P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2648 + 0.3020 = 0.6742

So

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6742 = 0.3258

The closest option is A.

4 0
2 years ago
Are the following (correct , incorrect , linear , nonlinear ) 7n, n+(n+1)+(n+2) , 3n”2 squared “ , 2n+8, n(3 squared) div 2
Maslowich
<h3>Answers:</h3>
  • A) Correct. Linear.
  • B) Correct. Linear.
  • C) Incorrect. Nonlinear.
  • D) Incorrect. Linear.
  • E) Correct. Nonlinear.

=======================================================

Explanation:

A)

The product of a number n and 7 is the same as n*7 or 7*n or 7n

The number next to the variable implies multiplication, so we don't have to write the asterisk or multiplication symbol.

This expression is linear because the exponent is 1. Think of 7n as 7n^1

Or you could graph it out and you would get a straight line.

-------------------

B)

n = first number

n+1 = number right after number n

n+2 = number right after n+1

This shows we have 3 consecutive numbers

The sum of this leads to 3n+3 which is linear.

-------------------

C)

Tina needs to square 3n to get (3n)^2. So she forgot to square the 3

(3n)^2 is equivalent to 9n^2

Both of which are nonlinear. They graph out a curved parabola which isn't a straight line. The exponent being larger than 1 is another indication of a nonlinear expression.

-------------------

D)

The sum of a number and 8 can be represented by n+8 where n is the unknown number. Then sticking "twice" out front means we double all of n+8. So we double it to get 2(n+8) which is equivalent to 2n+16

Tina mistakenly only doubled the n and not the 8

2(n+8) and 2n+16 are both linear. It might help to think of it like y = 2x+16 and to graph that out to get a straight line.

-------------------

E) Tina is correct here in dividing n^3 over 2

This is nonlinear since the exponent is larger than 1. It graphs out a curved cubic, rather than a straight line.

8 0
1 year ago
If 3x + 7 = 19, find the value of 4x + 1.<br> 4x + 1 =
Mkey [24]
X=4
4(4) + 1 =
16 + 1= 17
the answer is 17
8 0
3 years ago
Find the similarity ratio of a cube with volume 216 ft to a cube with volume 1000ft
Vika [28.1K]
\bf \qquad \qquad \textit{ratio relations}&#10;\\\\&#10;\begin{array}{ccccllll}&#10;&Sides&Area&Volume\\&#10;&-----&-----&-----\\&#10;\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}&#10;\end{array} \\\\&#10;-----------------------------\\\\

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\&#10;-----------------------------\\\\&#10;\cfrac{s^3}{s^3}\implies \cfrac{216}{1000}\implies \cfrac{\sqrt[3]{216}}{\sqrt[3]{1000}}\implies \cfrac{s}{s}\impliedby \textit{similarity ratio}

and simplify it away
3 0
3 years ago
Which expression is quick to
Len [333]

Answer:

4⁰ is the answer

Step-by-step explanation:

because first you change the division sign to a multiplication sign because they are the same and then multiply the terms with same base by adding their exponent which looks like this 4⁵-⁷+²

then calculate the sum or difference and you get 4⁰ [hopefully this makes sense]

3 0
3 years ago
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