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Flura [38]
3 years ago
5

Solve the equation: -1/2 (t+3) -10 = -6.5

Mathematics
1 answer:
liq [111]3 years ago
7 0
-1/2 (t+3) -10 = -6.5

t = - 10
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If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000
zavuch27 [327]

Answer:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

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

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

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 retirement savings of a population, and for this case we know the distribution for X is given by:

X \sim N(100000,20000)  

Where \mu=100000 and \sigma=20000

We are interested on this probability

P(X>117000)

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>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

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

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

7 0
3 years ago
william won 50 tickets at the arcade. he redeemed 30 tickets for a prize and gave 5 tickets to ketelyn. which expression can wil
mariarad [96]
Hello!

If William originally won 50 tickets, redeemed 30, and gave 5 to his friend, the expression that represents how many tickets he has left is:

50-30-5

If you are looking for how many tickets William has left, you simply need to solve the expression:
50-30-5 = 15

I hope this helps you! Have a great day!
5 0
3 years ago
I need help pls and thank you
kobusy [5.1K]

Answer:

unbounded region

A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.

Step-by-step explanation:

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3 years ago
Noah applies two transformations to WXYZ so that the final vertices of the transformed
krok68 [10]

Answer:

ok

Step-by-step explanation:

4 0
3 years ago
A country road has a section of road with grade of 9%. A car climbs up the slope road 18 feet above the flat road . What horizon
Leni [432]

Answer:

36

Step-by-step explanation:

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3 years ago
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