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3 years ago

Explain how to write 50,000 using exponents

2 answers:

5 0

For this case we have the following number:
$50,000
$
To rewrite the number we can use the exponential notation as follows:
$a * 10 ^ b
$
Where,
a: is the first digit of the number from left to right
b: is the number of times you must move the decimal to simplify the expression.
So we have to use the definition:
$50,000 = 5 * 10 ^ 4$
Answer:
Using scientific notation we have:
$50,000 = 5 * 10 ^ 4$

WINSTONCH [101]3 years ago

4 0

<u /> $50.000\to \boxed{ 5* 10^4}$

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The sum of 26 and twice a number is -46 find the number

charle [14.2K]

Answer:

-72

Step-by-step explanation:

Sum is adding so I just did substitution for this. 26+-72=-46 because a positive plus a negative equals a negative.

4 0

2 years ago

Emily and Sarah had a total of $80. after Sarah spent 1/3 of her money and Emily spent $17, Emily had twice as much money as Sar

Phoenix [80]

<span> SO in total, Emily and Sarah had a total of 80 dollars in which Emily had twice as much as Sarah.
Let’s solve to find out how much their Money is.
=> Since the ratio of the given data is 2:1, 2 + 1 =3, so let’s divide 80 by 3
=> 80 / 3 = 26.667 ,
=> Emily has twice as this.
=> 26.667 * 2 = 53.33
=> Sarah has 26.67
Now, Sarah spent 1/3 of her money
=> 26.67 / 3 = 8.89 – her remaining money
Emily spent 17 dollars of her money
=> 53.33 – 17 = 36.33</span>

3 0

2 years ago

What’s five multiplied my seven?

jeyben [28]

Answer:

35 is the answer

Step-by-step explanation:

it just is yeyeye

4 0

3 years ago

Read 2 more answers

In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre

Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

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.

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

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 expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that $p = 0.09$

41 people arrested for DUI in Illinois are selected at random.

This means that $n = 41$

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

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

$P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158$

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

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

We want $P(X \geq 1)$ .

Then

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

In which

$P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791$

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

$E(X) = np = 41*0.09 = 3.69$

d. What is the standard deviation of the number of repeat offenders?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83$

4 0

2 years ago

A particle moves along a line so that its position at any time t > 0 is given by the function s(t) = - t3 + 7t2 - 14t +8 wher

eimsori [14]

Answer:

s(5) = -12

Step-by-step explanation:

s(t) = - t³ + 7t² - 14t +8

Find the displacement during the first 5 seconds.

When t = 5

s(t) = - t³ + 7t² - 14t +8

s(5) = -5³ + 7(5)² - 14(5) + 8

= -125 + 7(25) - 70 + 8

= -125 + 175 - 70 + 8

= -12

s(5) = -12

4 0

2 years ago