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igor_vitrenko [27]
3 years ago
6

If the outliers are not included, what is the mean of the data set?

Mathematics
2 answers:
ioda3 years ago
4 0
If you don't include the outlier (50) then it is 79.7
enyata [817]3 years ago
4 0

If your data set includes the numbers 50 and 83 then the only outlier is 50, so when you add 76+79+79+80+81+82+82+83=642/8 total number of in data set=80.25 so the correct mean of the data set is 80.

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Akron Cinema sells an average of 500 tickets on Mondays, with a standard deviation of 50 tickets. If a simple random sample is t
Paha777 [63]

Answer:

Step-by-step explanation:

Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as

z = (x - u)/s

Where

x = ticket sales from monday

u = mean amount of ticket

s = standard deviation

From the information given,

u = 500 tickets

s = 50 tickets

We want to find the probability that the mean will be greater than 510. It is expressed as

P(x greater than 510) = 1 - P(x lesser than or equal to 510)

For x = 510

z = (510 - 500)/50 = 0.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.9773

P(x greater than 510) = 1 - 0.9773 = 0.0227

7 0
3 years ago
Read 2 more answers
given sin A =3/-/34 and that angle S is in quadrant 1, find the exact value of tan A in simplest radical form using a ration
Vedmedyk [2.9K]

Answer:

\tan(A) = \frac{3}{5}

Step-by-step explanation:

Given

\sin(A) = \frac{3}{\sqrt {34}}

0 \le A \le 90 --- First Quadrant

Required

Find tan(A)

The sin of an angle is:

\tan(A) = \frac{Opposite}{Hypotenuse}

and

\sin(A) = \frac{3}{\sqrt {34}}

By comparison:

Opposite = 3

Hypotenuse = \sqrt{34

So, the Adjacent is:

Hypotenuse^2 = Adjacent^2 + Opposite^2

(\sqrt{34})^2 = Adjacent^2 + 3^2

34 = Adjacent^2 + 9

Collect like terms

Adjacent^2 =34 - 9

Adjacent^2 =25

Take square roots

Adjacent =\sqrt{25

Adjacent =5

The tangent of an angle is:

\tan(A) = \frac{Opposite}{Adjacent}

This gives:

\tan(A) = \frac{3}{5}

8 0
3 years ago
(20 POINTS) One side of a trapezoid is extended and the dotted line forms a right angle with the extended line.
RUDIKE [14]

Answer: p = 115* (degrees)

<h3>Explanation:</h3>

What we know:

  • The trapezoid forms a right triangle
  • The right triangle has the angles 25*, 90*, and an unknown
  • The internal angles of a triangle add up to 180*
  • The unknown value p is a supplementary angle to the right triangle's unknown angle

How to solve:

    By finding the degree of the 3rd angle in the right triangle, we can use the rules of supplementary angles to find the value of p.

    We will use D to represent the total amount of degrees, which will equal 180*. X will represent an unknown angle. An asterisk represents the degree symbol.

<h3>Process:</h3>

Missing right triangle angle

Set up equation                                                     D = 25 + 90 + x

Substitute                                                            180 = 25 + 90 + x

Simplify                                                                180 = 115 + x

Isolate variable                                                   -115    -115

Solution                                                               65* = x

Value of p using supplementary angles

Set up equation                                                     D = x + p

Substitute                                                           180 = 65 + p

Isolate variable                                                 -65     -65

Solution                                                              115* = p

<h3>Answer: p = 115*</h3>

Check:

We can do a check based on estimation. Assuming that the trapezoid and triangle form a box with all 90* corners and that p = 115*, then adding p and all of the other trapezoid angles should result in 360*

Firstly, we need the values of these 4 angles.

The first angle, labeled p, should be 115*. If our equation is untrue, then this value will fail the check.

The second angle will be the one at the bottom-left, which is 90* according to our box statement.

The third angle is the one located at the bottom-right, which is also 90* from the box statement.

The fourth angle is not 90* or 115*, but we can solve its value.

Because we have stated that the right triangle and trapezoid form a box with 4 90* corners, the sum of the fourth angle and the 25* from the right triangle must form a right angle. Let's find the value:

D = 25 + x

90 = 25 + x

(90 = 25 + x) - 25

65* = x

Therefore, the fourth angle has 65*

Now, adding the degrees from all 4 angles should result in a total of 360*. If it does, then our value of p = 115* will pass the check.

D = 90 + 90 + p + x

360 = 90 +90 + 115 + 65

360 = 180 + 180

360 = 360

Therefore, p = 115*

6 0
2 years ago
Read 2 more answers
Find the center of the circle whose equation is (x + 5)2 + (y + 8)2 = 16
Hunter-Best [27]
The center would be at (-5,-8)

Hope this helps :)
4 0
3 years ago
Write an equivalent logarithmic equation.<br><br> e^x = 30
saul85 [17]
E^x=30 
the logarithmic equation:  ⇒ ln 30=x 
4 0
3 years ago
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