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UkoKoshka [18]
3 years ago
12

Which statement below about roots is false.Immersive Reader (5 Points) Simplified radicals have a positive and a negative root.

A radicand is the symbol used when working with roots. Exponents and Roots are inverses Roots can be squared, cubed, quadrupled. Or more.
Mathematics
1 answer:
scoray [572]3 years ago
4 0

Answer:

Statement (B)

Step-by-step explanation:

Which statement below about roots is false?

Let's arrange the statements by assigning option-letters a, b, c, d to them.

(A) Simplified radicals have a positive and a negative root.

This is true, as the root of any number is either a positive or a negative; especially if the rooting index is an even number like 2 or 4. For example, the square root (when the index is 2) of 9 is either +3 or -3. To check, find their squares. +3 x +3 = 9 and -3 x -3 = 9.

(B) A radicand is the symbol used when working with roots.

This statement is false, as the name for the symbol used in root operations is "radical symbol". A radicand is the number or expression whose roots are about to be found. It is the expression that lies under or inside the radical symbol!

(C) Exponents and Roots are inverses.

Exponents are the powers to which mathematical expressions are raised. Roots are the indexes by which mathematical expressions are divided. Exponents are hence the opposites or inverses of roots.

(D) Roots can be squared, cubed, quadrupled, or raised to higher powers.

Yes! The root of a mathematical expression or figure can be raised to any number or power, be it 2 (square), 3 (cube), 4 (quadruple), 5 (quintuple) or 100 (cent).

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True or False: A race car driver tested his car for time from 0 to 60 mph, and in 20 tests obtained an average of 4.85 seconds w
vredina [299]

Answer:

False

Step-by-step explanation:

given that a race car driver tested his car for time from 0 to 60 mph, and in 20 tests obtained an average of 4.85 seconds with a standard deviation of 1.47 seconds.

Sample size n = 20

since population standard deviation is not known, we can use t critical value for finding out the confidence interval

df=19

t critical = 2.045

Margin of error = 2.045*\frac{s}{\sqrt{n} } \\=2.045*\frac{1.47}{\sqrt{20} } \\=0.6722

conidence interval = Mean±Margin of error

= (4.85-0.6722, 4.85+0.6722)\\= (4.1778, 5.5222)

The given confidence interval is (4.52, 5.18)

Hence the statement is false.

5 0
3 years ago
Four cards are dealt from a standard fifty-two-card poker deck. What is the probability that all four are aces given that at lea
elena-s [515]

Answer:

The probability is 0.0052

Step-by-step explanation:

Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:

P(A/B) =  P(A∩B)/P(B)

The probability P(B) that at least three are aces is the sum of the following probabilities:

  • The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
  • There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways to select exactly 3 aces is:

4C3*48C1=\frac{4!}{3!(4-3)!}*\frac{48!}{1!(48-1)!}=192

Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725

Then, the probability P(B) that at least three are aces is:

P(B)=\frac{1}{270,725} +\frac{192}{270,725} =\frac{193}{270,725}

On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:

P(A∩B) = 1/270,725

Finally, the probability P(A/B) that all four are aces given that at least three are aces is:

P=\frac{1/270,725}{193/270,725} =\frac{1}{193}=0.0052

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