MATHEMATICS HIGH SCHOOL

An outlier always affects the mean.

True
False,
Please help ASAP

Answers

Answer 1
Answer: true if u have high or very low outlier in your data set it is generally preferred to use the median    
Answer 2
Answer:

Answer:

True

Step-by-step explanation:

An outlier is the lowest or the highest number and all of the numbers matter no matter how high or low they are

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William put $100 in a bank account last year. Now he has 1/12 more money in the account. Which expressions represent how much money William has in his bank account now? Choose all answers that are correct. a.100-(1/12*100) b.100+(1/12*100) c.100+(13/12*100) d.13/12*100

Answers

well he put 100 dollars in his account

he then added 1/12 more money
so the amount of money he has is 1 and 1/12 of 100 dolars  1 and 1/12 is equal to 12/12+1/12=13/12
so b. [100+(1/12*100)] makes sense and d.[13/12*100] makes sense
I think its b and d because b : 100 add half a hundred. thats right.
d : 1 and a half of 100. thats right too. hope this helped!

Round 20045 to 4 significant figures.

Answers

Answer:

2005

Step-by-step explanation:

If (x + 5)^2 = 35, what is the approximate positive value of x?0.92
2.65
3.16
5.48

Answers

Answer:

The approximate positive value of x is 0.92.

Step-by-step explanation:

Given,

(x+5)^2 = 35

x+5 = \pm √(35)

x = \pm √(35)-5

Thus,

x = √(35)-5 or x=-√(35)-5

By taking positive value,

x = √(35)-5

x=5.91607978 - 5 = 0.91607978\approx 0.92

⇒ First option is correct.
the approximate value of x = 0.92

The voltage V required for a circuit is given by v=√(PR) , where P is the power in watts and R is the resistance in ohms.How many more volts are needed to light a 100-watt light bulb than a 75-watt light bulb if the resistance of both is 110 ohms? Round answer to the nearest tenth.

Answers

Answer:

✓11000-✓8250=~ 14 volts

Step-by-step explanation:

the answer is the difference by 100-watt light bulb to a 75 light bulb.

so, all you have to do is this:

v1-v2--------> ✓PR-✓P2R2

so you'll have ✓100.110-✓75.110= ✓11000-✓8250= 14

I hope it helps

Final answer:

By using the formula v=√PR, it is calculated that approximately 13.8 more volts are needed to light a 100-watt bulb than a 75-watt bulb, both having a resistance of 110 ohms.

Explanation:

To find out how many more volts are needed to light a 100-watt light bulb than a 75-watt light bulb, the amount of voltage required for each bulb is to be calculated using the given formula v= √PR, and then subtracted to find the difference.

For voltage required to light a 100-watt bulb:

v100= √(100W * 110 ohms) = 105.4 volts

For 75-watt bulb:

v75 = √(75W * 110 ohms) = 91.6 volts

The difference in voltage:

v100 - v75 = 105.4V - 91.6V = 13.8V

So, approximately 13.8 more volts are needed to light a 100-watt bulb than a 75-watt bulb, when rounded to the nearest tenth.

Learn more about Voltage calculation here:

brainly.com/question/31684068

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Keith is racing his little sister Pattie and has given her a 15 foot head start. She runs 5ft/sec and he is chasing at 8ft/sec. For how long can Pattie stay ahead of Keith? Write and solve an inequality and show your work. Plz Help!

Answers

Pattie runs at 5 ft/sec
She has got a head start of 15 feet.
So after 1 second, Pattie runs = (5+15) ft                                                   
                                                  = 20 ft
After 2 second Pattie runs = (20+5)ft
                                           = 25 ft
After 3 second Pattie runs = (25+5) ft
                                           = 30 ft
After 4 seconds Pattie runs = (30+5) ft
                                             = 35 ft
After 5 seconds Pattie runs = (35+5) ft
                                             = 40 ft
After 6 seconds Pattie runs  = (40+5) ft
                                             = 45 ft
Now Keith runs at 8 ft/sec
After 1 second Keith runs = 8 ft
After 2 second Keith runs = (8+8) ft
                                           = 16 ft
After 3 second Keith runs = (16+8) ft
                                           = 24 ft
After 4 second Keith runs = (24+8) ft
                                          = 32 ft
After 5 second Keith runs = (32+8) ft
                                           = 40 ft
After 6 second Keith runs = (40+8) ft
                                           = 48 ft
So Pattie will stay ahead of Keith upto 4 seconds. In the 5th second Pattie and Keith will be level and in the 6th second Pattie will be overtaken by Keith.

What is the complete factorization of x2 + 2x − 63? A. (x + 21)(x − 3) B. (x − 9)(x + 7) C. (x + 9)(x − 7) D. (x − 21)(x + 3)

Answers

Answer:

(x + 9)(x - 7)

Step-by-step explanation:

We want to factorize x^2 + 2x - 63

We need to find two numbers such that their product is -63 and they add up to +2. The two numbers are +9 and -7:

x^2 + 9x - 7x - 63\n\n= x(x + 9) -7(x +9)\n\n = (x +9)(x -7)

The complete factorization is (x + 9)(x - 7)

The factored form of the expression x² + 2x - 63 is (x + 9)(x - 7).

What is the factored form of the expression?

Given the expression in the question:

x² + 2x - 63

To determine the complete factorization of the quadratic expression x² + 2x - 63, we aim to break it down into its simplest factors.

This is achieved through factoring, a process of identifying the expressions that, when multiplied, result in the original quadratic expression.

x² + 2x - 63

Now, find a pair of integers whose sum equals 2,

and whose product equals -63.

We use integers 9 and -7.

Next, rewrite the quadratic expression using these factors:

(x + 9)(x - 7)

Therefore, the complete factorization of x² + 2x - 63 is (x + 9)(x - 7).

Option C) (x + 9)(x - 7) is the correct answer.

Learn more about factorization here: brainly.com/question/20293447

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