Which measures of central tendency would be affected if the outlier 11 was added to the following set 27,20,34,37,21,42,39

Answers

Answer 1

Answer:

Answer:

Median will not be affected by the outlier.

Step-by-step explanation:

With the outlier, the mean will be dragged way down. The median will likely be about the same. Mean is non-resistant to outliers, median is resistant.

Hope this helps!

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A bank account has an initial deposit of $14,000. After 8 years, the bank accounthas $18,000. Assuming that compounding interest is done annually and that no
withdrawals are taken, find the annual interest rate on the investment. If the interest is compounded annually what is the approximate interest rate on the investment?

Answers

Answer:

2.3%

Step-by-step explanation:

18000 = 15000( 1 + i)^8

Divide both sides by 15000

1.2 = (1 + i)^8

Take both sides to the 1/8 power

1.2^(1/8) = 1 + i

1.023051875220463 = 1 + i

Subtract 1 from both sides

i = 0.023051875220463

~ 2.3%

You want to use a coordinate proof to prove that midsegment DE of ABC is parallel to AC and half the length of AC. Which is the best first step?

Answers

Answer:

the third one answer choice

Step-by-step explanation:

⊕ Place the triangle on a coordinate grid such that vertex A is at the origin, and segment AC lies on the x-axis.

You will be able to see the length of segment AC and length of segment DE, and also will be able to see if AC║DE.

Two sides of a triangle measure 10 inches and 10.9 inches. The included angle between these sides is 65°. What is the approximate measure of the third side of the triangle?

Answers

Answer:

9.9inches

Step-by-step explanation:

From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry

From trigonometry, Sin(x)= opposite/Hypotenuse

Sin(65)=X/10.9

X= Sin(65) ×10.9

X=0.9063×10.9

=9.8688

Hence the third side of the triangle is approximately 9.9inches

CHECK THE ATTACHMENT FOR THE TRIANGLE

Add parentheses to the expression so that its value is 45:5 × 4 + 8 - 3

5 × (4 + 8 - 3)
5 × (4 + 8) - 3
5 × 4 + (8 - 3)
no parentheses are needed

Answers

your answer is 5×(4+8-3) ...
4+8 =12-3=9 and 9 ×5 =45

Answer: 5×(4+8-3) ...

4+8 =12-3=9 and 9 ×5 =45

Step-by-step explanation:

Admission to a baseball game is $4.50 for general admission and $6.00 for reserved seats. The receipts were $4210.50 for 845 paid admissions. how many of each ticket were sold?

Answers

Let's solve this problem using a system of equations. Let's assume the number of general admission tickets sold is represented by 'x' and the number of reserved seats sold is represented by 'y'.

We know that the total number of paid admissions is 845, so we can write the equation:

x + y = 845 (Equation 1)

We also know that the total receipts from ticket sales is $4210.50. Since the price for general admission is $4.50 and the price for reserved seats is $6.00, we can write the equation:

4.50x + 6.00y = 4210.50 (Equation 2)

Now, we can solve this system of equations to find the values of 'x' and 'y'.

From Equation 1, we can rewrite it as:

x = 845 - y

Substituting this value of 'x' into Equation 2, we get:

4.50(845 - y) + 6.00y = 4210.50

Expanding and simplifying:

3802.50 - 4.50y + 6.00y = 4210.50

Combine like terms:

1.50y = 408.00

Divide both sides by 1.50:

y = 272

Substituting this value of 'y' back into Equation 1, we can solve for 'x':

x + 272 = 845

x = 573

Therefore, 573 general admission tickets and 272 reserved seats were sold.

What are the measures of angles QRS and STU ?

Answers

Inscribed angles on the same intersecting arc are all equal.

Therefore we have the equation:

$3x = x+8\qquad|-x\n\n2x=8\qquad|:2\n\n\boxed{x=4}\n\nm\angle QRS=3x\to m\angle QRS=(3\cdot4)^o=12^o\n\nm\angle STU=x+8\to m\angle STU=(4+8)^o=12^o$

Answer: C.

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