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Alina [70]
3 years ago
5

Now that Anna's Boutique has merged with another store, the members of its staff make $26. That is 30% more than they historical

ly made. How much did the staff members use to make per hour?
Mathematics
1 answer:
Pavel [41]3 years ago
7 0

Answer:

20

Step-by-step explanation:

30% of 20 is 6

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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
2 years ago
A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and negative numbers r
zhuklara [117]

Answer:

(B)

The elevation of the chameleon

Step-by-step explanation:

the fly is above the chameleon, so it's elevation should be represented by a positive number

5 0
2 years ago
determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.17, 14, 11, 8,
MArishka [77]

The common difference of the sequence is -3 and the fifth term is 5

<h3>How to determine the common difference?</h3>

The sequence is given as:

17, 14, 11, 8....

The common difference is

d = T2 - T1

So, we have

d = 14 - 17

Evaluate

d = -3

Hence, the common difference of the sequence is -3

<h3>How to determine the fifth term?</h3>

The fifth term is calculated as:

T5 = a + 4d

Where

a = T1 = 17

d = -3

So, we have:

T5 = 17 - 4 * 3

Evaluate

T5 = 5

Hence, the fifth term is 5

<h3>How to determine the nth term?</h3>

The nth term is calculated as:

Tn = a + (n - 1)d

Hence, the nth term is Tn = a + (n - 1)d

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

6 0
1 year ago
The value of x is -1/4. Order the expressions from least to greatest. Enter 1 for the least amount; 2 for the second least amoun
Natasha_Volkova [10]

Answer:

1/20 trust me

Step-by-step explanation:

pls

4 0
3 years ago
Read 2 more answers
Whats the value of y help please
Aliun [14]

Answer:

25

Step-by-step explanation:

8 0
3 years ago
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