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Harlamova29_29 [7]
3 years ago
14

Simplify the expression (2/9) ^2

Mathematics
1 answer:
prohojiy [21]3 years ago
4 0

Answer:

A 4/81

Step-by-step explanation:

(2/9)² is the same as 2/9×2/9, which is 4/81.

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A study was made of seat belt use among children who were involved in car crashes that caused them to be hospitalized. It was fo
borishaifa [10]

Answer:

a) P(5

And we can find this probability with this difference:

P(-1.90

And using the norma standard distribution or excel we got:

P(-1.90

b) P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)

And using the complement rule we got:

P(Z>-1.096) =1-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".  

Part a

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

X \sim N(7.37,1.25)  

Where \mu=7.37 and \sigma=1.25

We are interested on this probability

P(5

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(5

And we can find this probability with this difference:

P(-1.90

And using the norma standard distribution or excel we got:

P(-1.90

Part b

For this case we want this probability:

P(X>6)

And we can use the z score and we got:

P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)

And using the complement rule we got:

P(Z>-1.096) =1-P(Z

8 0
3 years ago
You are paid 1.5 times your normal hourly rate for each hour you work over 30 hours in a week. You work 34 hours this week and e
natulia [17]

Answer: $15.94

Step-by-step explanation:

Let r be your rate you get paid per hour normally. Let's set up this equation.

(30 * r) + 4(1.5 * r) = 573.83

30r + 6r = 573.83

36r = 573.83

r = 15.94 (rounded)

You get paid $15.94 hourly.

8 0
1 year ago
Please help. If this isn't done by today i'm grounded :(
DedPeter [7]

Answer:

B. temporary

Step-by-step explanation:

The last sentence says that the alignment of atoms does not last long.

4 0
2 years ago
Read 2 more answers
How do I solve this problem?
lidiya [134]
B = A(1+\frac{i}{n})^{nt}
A = 47900
i = 5% = .05
n = number of compounding periods in a year (1,2,12,365)
t = number of years = 5
4 0
2 years ago
Someone plz help me please
Liula [17]

Answer:

c and d

Step-by-step explanation:

3 0
3 years ago
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