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andre [41]
3 years ago
5

How is 5,067,000 written in standard scientific notation?

Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer:

5.067e6

Step-by-step explanation:

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The distribution of the average amount of sleep per night gotten by college students is roughly bell-shaped with mean 412 minute
kirza4 [7]

Answer:

P(X

P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(412,68)  

Where \mu=412 and \sigma=68

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(z

4 0
3 years ago
One number is six times as large as another. The sum of their reciprocal is 7. What are the numbers
RideAnS [48]
X=6y

sum of their reciprocals
(1/x)+(1/y)=7
x=6y
1/6y+1/y=7
1/6y+6/6y=7
7/6y=7
times both sides by 6y
7=42y
divide both sides by 42
1/6=y

x=6y
x=6(1/6)
x=6/6
x=1

the numbers are 1 and 1/6
5 0
3 years ago
Martin's class has 28 students in it 25 % of those students are homesick today. How many students are home sick
lisov135 [29]
7 students are home sick
7 0
2 years ago
Together, Dante and Mia have a total of 350 pennies in their piggy banks. After Dante lost ½ of his pennies and Mia lost ⅓ of he
natta225 [31]

Answer:

Altogether they lost 150 pennies.

Step-by-step explanation:

X = Dante's pennies

Y = Mia's pennies

X + Y = 350                                       1/2 X = 2/3 Y

                                                                X = 4/3 Y

4/3 Y + Y = 350

7/3 Y = 350

Y = 350 * 3/7

Y = 50 * 3

Y = 150

X + 150 = 350

X = 200

                                                     1/2 * 200 = 2/3 * 150

                                                       100 .      =   100

1/2 * 200 = 100 -> Dante lost 100 pennies

1/3 * 150 = 50 -> Mia lost 50 pennies

Altogether they lost 150 pennies.

3 0
3 years ago
Read 2 more answers
If the width of the rectangle is three times the length and the perimeter of the rectangle is 72 ft, what are the length and wid
goblinko [34]
W=3L
W+W+L+L=72
Replace W with 3L: 3L+3L+L+L=72
8L=72
L=9
W=27
8 0
3 years ago
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