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Ede4ka [16]
3 years ago
5

The following data points represent the yearly salaries of high school cheerleading coaches in Dakota county (in thousands of do

llars). 41 38 36 57 43
Mathematics
1 answer:
jenyasd209 [6]3 years ago
5 0

Answer:

5.6 thousand

Step-by-step explanation:

To find the mean absolute deviation (MAD), first find the mean (or average).

μ = (41 + 38 + 36 + 57 + 43) / 5

μ = 43

Next, subtract the mean from each value and take the absolute value.

|41 − 43| = 2

|38 − 43| = 5

|36 − 43| = 7

|57 − 43| = 14

|43 − 43| = 0

Sum the results and divide by the number of animals.

MAD = (2 + 5 + 7 + 14 + 0) / 5

MAD = 5.6

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In fig if x+y=w+z then prove that AOB is a line.​
frez [133]

Answer:

As Given, x+y=w+z

To Prove: AOB is a line or x+y=180

∘

(linear pair.)

According to the question,

x+y+w+z=360

∘

∣ Angles around a point.

(x+y)+(w+z)=360

∘

(x+y)+(x+y)=360

∘

∣ Given x+y=w+z

2(x+y)=360

∘

(x+y)=180

∘

Hence, x+y makes a linear pair.

Therefore, AOB is a straight line

4 0
3 years ago
I DO
lutik1710 [3]
A. 333.45 square inches
5 0
3 years ago
Amal Worked a total of 30 hours last week. On Saturday And Sunday He Worked 5 times as many hours than he worked the rest of the
Lilit [14]
Let x represent the number of hours he worked during the weekdays (not Saturday or Sunday).
If x is how much he worked on the weekdays and he worked 5 times as much on Sat and Sun, then hopefully you agree that on Sat and Sun he worked 5x hours.
So we have 5x hours on the weekends and x hours on the weekdays, so in total for the whole week we have 5x + x = 6x hours in total.
The question tells us that he worked 30 hours total, so 6x = 30
Divide both sides by 6 to isolate x and we have x = 5.
He worked 5 hours the rest of the week.

Hope this helps. If it does, please be sure to make this the brainliest answer! :)

8 0
3 years ago
Suppose that a box contains r red balls and w white balls. Suppose also that balls are drawn from the box one at a time, at rand
dybincka [34]

Answer: Part a) P(a)=\frac{1}{\binom{r+w}{r}}

part b)P(b)=\frac{1}{\binom{r+w}{r}}+\frac{r}{\binom{r+w}{r}}

Step-by-step explanation:

The probability is calculated as follows:

We have proability of any event E = P(E)=\frac{Favourablecases}{TotalCases}

For part a)

Probability that a red ball is drawn in first attempt = P(E_{1})=\frac{r}{r+w}

Probability that a red ball is drawn in second attempt=P(E_{2})=\frac{r-1}{r+w-1}

Probability that a red ball is drawn in third attempt = P(E_{3})=\frac{r-2}{r+w-1}

Generalising this result

Probability that a red ball is drawn in [tex}i^{th}[/tex] attempt = P(E_{i})=\frac{r-i}{r+w-i}

Thus the probability that events E_{1},E_{2}....E_{i} occur in succession is

P(E)=P(E_{1})\times P(E_{2})\times P(E_{3})\times ...

Thus P(E)=\frac{r}{r+w}\times \frac{r-1}{r+w-1}\times \frac{r-2}{r+w-2}\times ...\times \frac{1}{w}\\\\P(E)=\frac{r!}{(r+w)!}\times (w-1)!

Thus our probability becomes

P(E)=\frac{1}{\binom{r+w}{r}}

Part b)

The event " r red balls are drawn before 2 whites are drawn" can happen in 2 ways

1) 'r' red balls are drawn before 2 white balls are drawn with probability same as calculated for part a.

2) exactly 1 white ball is drawn in between 'r' draws then a red ball again at (r+1)^{th} draw

We have to calculate probability of part 2 as we have already calculated probability of part 1.

For part 2 we have to figure out how many ways are there to draw a white ball among (r) red balls which is obtained by permutations of 1 white ball among (r) red balls which equals \binom{r}{r-1}

Thus the probability becomes P(E_i)=\frac{\binom{r}{r-1}}{\binom{r+w}{r}}=\frac{r}{\binom{r+w}{r}}

Thus required probability of case b becomes P(E)+ P(E_{i})

= P(b)=\frac{1}{\binom{r+w}{r}}+\frac{r}{\binom{r+w}{r}}\\\\

7 0
3 years ago
Select the correct answer. For what purpose are goods and services produced in a socialist economy? A. profits B. their usefulne
Alisiya [41]

Answer: B. their usefulness

Step-by-step explanation: A socialist economy may be described as a system whereby factors of production including goods and services are generally explored and processes in other to serve and benefit the people. In socialism, resources are deemed to be owned by all members of the public and as such total control resides with the government who makes decision on production, processing and sales of the resources to serve useful benefit for the people. The socialist econmoy opposes the capitalist form of government whereby goods and services are generated in other to yield profit.

5 0
3 years ago
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