MATHEMATICS HIGH SCHOOL

A West Coast university statistics professor wishes to determine which surfboard brand delivers consistently longer rides, Channel Island or JS. He recruits two of his students who surf to assist in an experiment, and the student assigned to the Channel Island board is determined by coin flip. The three head out to the beach for an afternoon, with the professor holding up a sign at random times for the respective student to catch the next wave on his board, and the time spent on that wave is recorded. This is repeated until each student has ridden 10 waves. The brand of surfboard in this story is A) the explanatory variable. B) a parameter. C) stratified.D) the response variable. E) blinded.

Answers

Answer 1
Answer:

Answer:

This is repeated until each student has ridden 10 waves. The brand of surfboard in this story is "the explanatory variable"

Step-by-step explanation:

the explanatory variable otherwise known as the the Independent variable.

in the scenario above the brand of surfboard is independent of the event because the brand doesn't matter in the experiment.

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Segments AP and BP have the same length. If the coordinates of A and P are (-1,0) and (4,12), respectively, which could be the coordinates of B?I. (3/2, 6)II. (9, 24)III. (-8,7)A) I and II onlyB) II and III onlyC) II onlyD) III only
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Cameron opens a checking account and a savings account at his local bank. He deposits $10,000 into his checking account and $2,000 into his savings account. He will withdraw $1,200 from his checking account each year. His savings account earns 8% interest each year. In how many years will both accounts have the same balance?

Answers

The correct answer is:
5.9 years.

Explanation:
 Let x be the number of years. For the checking account, our expression would be 10000-1200x, since he withdraws $1200 from his account each year, and he begins with $10,000.

The formula for simple interest is:
I=prt
where:
p is the principal, r is the rate and t is the time

using our information, we have
p=2000,
r=8%=8/100=0.08, and
t=x.

This gives us 2000(0.08)(x).
However, we must add the $2000 to this (interest is added on to the principal); this gives us:
2000+2000(0.08)(x).

Setting these two equal, we have:
10000-1200x = 2000+2000(0.08)(x).

Simplifying the right hand side, we have:
10000-1200x=2000+160x.

Add 1200x to both sides:
10000-1200x+1200x=2000+160x+2000x;
10000=2000+1360x.

Subtract 2000 from both sides:
10000-2000=2000+1360x-2000;
8000=1360x.

Divide both sides by 1360:
(8000)/(1360) = (1360x)/(1360);
5.9=x.

Let x be the number of needed years.

1. He deposits $10,000 into his checking account and he will withdraw $1,200 from his checking account each year. Then after x years he will have $10,000-$1,200x in his checking account.

2.  He deposits $2,000 into his savings account and his savings account earns 8% interest each year, then after x years he will have \$2,000\cdot (1.08)^x.

3. Equate these amounts of money:

10,000-1,200x=2,000\cdot (1.08)^x.

4. Solve this equation:

  • divide the equation by 400:

25-3x=5\cdot (1.08)^x;

  • plot graphs of the function y=25-3x and y=5\cdot (1.08)^x (see attached diagram);
  • find the common point of these two graphs: (6.663,5.01).

Conclusion: he needs nearly 6.663 years.

Solise is planting 24 bushes and 16 trees in equal rows. She wants all the rows to be exactly the same with no plants left over. What is the greatest number of rows Solise can plant?

Answers

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Since Solise want to plant both trees and bushes in the same number of rows, you need to find the common factor.

Since the question is asking what the greatest number of rows she can plant, you have to find the greatest common factor.

The greatest common factor of 24 and 16 is 8.

You can plant 24 bushes in 8 rows (meaning you can divide it by 8), and 16 trees in 8 rows (meaning you can divide it by 8). Since the greatest number you can divide them both by is 8, the GCF of 24 and 16 is 8.

So the greatest number of rows Solise can plant is 8 rows.

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You want to buy a house in 9 years. The estimated cost is $175,800.00. You want to make a 20% down payment and closing costs are 7%. How much in totality

Answers

Hi There! :)

You want to buy a house in 9 years. The estimated cost is $175,800.00. You want to make a 20% down payment and closing costs are 7%. How much in totality

Answer: 7

If there is the same slope but different y-intercepts can there paths ever cross?

Answers

if the gradient is the same but there are different y intersects, the straight lines will never cross but they will be parallel.the answer is they will never cross
No, because lines that have same slopes are parallel and parallel lines never cross. So they will not cross. Hope this helps. 

How do you solve x to the second power +7x=O

Answers

well the answer is 0 because if anything = 0 then it has to be multiplied by 0 so x = 0
x^2+7x=0
use the square root something....
(7/2)^2=49/4(add it to both sides)
x^2+7x+49/4=49/4
(x+7/2)^2=49/4
x+7/2=posinega 7/2
x=0 or x=-7

26.
What is the solution to. y - 9 > 4 + 2y?

HELP. answer if you can!​

Answers

Answer:

y<−13

y−9>4+2y

Simplify both sides of the inequality

y−9>2y+4

Subtract 2y from both sides

y−9−2y>2y+4−2y

−y−9>4

Add 9 to both sides.

−y−9+9>4+9

−y>13

The divide both sides by -1

Answer:

\boxed{y < -13}

Step-by-step explanation:

Hey there!

To solve for y we‘ll combine like terms and use the communicative property.

y - 9 > 4 + 2y

+9 to both sides

y > 13 + 2y

-2y to both sides

-y > 13

Divide -1 by both sides

y < -13

Hope this helps :)
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