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3 years ago

How do you write 604 in expanded form

Mathematics

2 answers:

Mamont248 [21]3 years ago

8 0

It would be 600 then 4
0 doesn't really have a place

zhuklara [117]3 years ago

7 0

600+4 is 604 in expanded form

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Write the expression using a single exponent. (-3)^9 (-3)^4

Jet001 [13]

Answer:

(-3)^13

Step-by-step explanation:

(-3) is a constant value so there is no change

You must add 4 and 9 together to create one exponent of 13

6 0

3 years ago

Read 2 more answers

20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st

Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

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.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that $p = 0.13$

14 drivers are stopped

This means that $n = 14$

(a) None will have an invalid license.

This is $P(X = 0)$

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

$P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423$

(b) Exactly one will have an invalid license.

This is $P(X = 1)$

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

$P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977$

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56$

8 0

3 years ago

Enrico deposited $2000, in a savings account. Each month he will deposit an additional $25. Which kind of function best models t

AfilCa [17]

Answer:

<em> Linear model </em>

The function f(x) which represents the total amount in the savings account in x months is given by: f(x)=25x+2000

Step-by-step explanation:

Given:

Enrico deposited $2000 in a savings account.

Each month he will deposit additional $25.

This shows that the rate at which the amount is increasing each month is constant.

Therefore, the model will be linear with a slope 25.

So , if x represents the number of months.

and f(x) represents the corresponding amount in the account.

Then the function f(x) is given by: f(x)=25x+2000

3 0

3 years ago

(02.03

12345 [234]

Is the equation 02.03 ??

7 0

3 years ago

Qaudriladrial ABCD had cordinates A (3, 5) B(5, 2) C(8, 4) D(6, 7) qaudriladrial ABCD is a what?

Lorico [155]

The quadrilateral is a square

<h3>What are quadrilaterals?</h3>

Quadrilaterals are polygons, that have four sides and four corners

The coordinates are given as:

A = (3, 5)
B = (5, 2)
C = (8, 4)
D = (6, 7)

Start by calculating the adjacent side lengths using:

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

So, we have:

$AB = \sqrt{(3- 5)^2 + (5- 2)^2}$

$AB = \sqrt{13}$

$BC = \sqrt{(8- 5)^2 + (4- 2)^2}$

$BC = \sqrt{13}$

The side lengths are equal.

Hence, the quadrilateral is a square