MATHEMATICS HIGH SCHOOL

Timers at a swim meet used four different clocks to time an event. Which recorded time is the least precise?a. 48.9107 s
b. 48.91 s
c. 48.910 s
d. 48.9 s

Answers

Answer 1
Answer:

Answer:

The time recorded as 48.9 s (option: d) is least precised as compared to other times.

Step-by-step explanation:

" Precision refers to the closeness of two or more measurements to each other" .

Since, in options a,b and c the time represented is quite close as they are precised to two or more decimal places.

but in option 'd' the time is precised to just one decimal place.

Hence, the time recorded as 48.9 s is least precised.

Hence, option D is the correct answer.
Answer 2
Answer: d. It's precise to only one decimal place

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What is the remainder of (x^3-6x^2-9x+3)/(x-3)

Answers

Thw answer is -51
Found through long division

1/2 times 2/3 divided by 1/4 times 1/2

Answers

Answer:

.66 (repeating) or the rounded answer is .67

Step-by-step explanation:

1/2 times 2/3 = .33(repeating)

.33(repeating divided by 1/4 = 1.33(repeating)

1.33(repeating) times 1/2 = .66(repeating)

2^2 x 3^3 x 4^5/ 2 x 3 x 4^5
Please explain

Answers

Answer:

18

Step-by-step explanation:

Hi there !

2² x 3³ x 4⁵/ 2 x 3 x 4⁵ =

simplify 2 ; 3 ; 4⁵

= 2ₓ3²/1

= 2ₓ9

= 18

Good luck !

There are 6 numbers on a normal dice. What is the probability that if you roll the dice, you'll get a number less than 5?

Answers

There are six numbers on a dice (6 out of 6). 
There are 4 numbers on a dice that are below 5 (4 out of 6)
So there is a 4 out of 6 chance (4/6) that you will roll a number less than 5.

Let p: A triangle is acute. Let q: A triangle is equilateral. If q is true, which statements must be true? Check all that apply. a.p ∨ q
b.p ∧ q
c. p → q
c.q → p
d. q ↔ p

Answers

"q is true" is a given statement. So q = T where T stands for T (while F is for false)

If the triangle is equilateral, then all three angles are 60 degrees. So the triangle is also acute. This makes statement p true as well. 

So p and q are both true logical statements. 

That makes p v q true. It's only false if BOTH are false but that's not the case here.

That makes p ∧ q true as well. BOTH statements are true, so the entire thing is true.

p --> q is true as well. This is only false if p were true leading to q being false. Again not the case.

In the other direction, q --> p is also true for similar reasons as the last explanation above.

q <--> p is true because p and q have the same truth value T

------------------------------------------

In summary, every choice is true. 

A statement is true if both p and q will be true.

As, given ,p: A triangle is acute

q: A triangle is equilateral.

p ∧ q→ p is true as well as q is true.

That is if triangle is acute it means it is equilateral is not possible, and  if triangle is equilateral it means it is acute angled triangle.So,this contradicts p∧q.

So, Option (c) q → p,  supports the two statement , that is if if triangle is equilateral it means it is acute angled triangle.

Jason and Ron together have 97 baseball cards. Jason has four more than twice as many cards as ron. How many baseball cards does each person have?

Answers

Let r be the number of cards Ron has. 

r + 2r + 4 = 97
3r + 4 = 97
3r + 4 - 4 = 97 - 4
3r = 93
3/3r = 93/3
r = 31

Ron has a total of 31 cards and Jason has a total of 66 cards.
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