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3 years ago

What is the principal square root of 16

2 answers:

8 0

Your answer would be 4.

This is because the 'principal square root' means the positive square root of a certain number, and so √16 = 4 × 4, making 4 the answer. This has a certain term for it as √16 could equal -4 also (-4 × -4 = 16).

I hope this helps!

Vedmedyk [2.9K]3 years ago

3 0

The principal square root 4 and its negative -4

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How many units apart are (-1,4) and (2,-1)

Serggg [28]

Answer:

Those points are $\sqrt{34}$ units apart.

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2 years ago

Bobby is diving 50 feet below sea level at the beach. His sister is at the swimming pool deck, which is 15 feet above sea level.

wel

Answer:

the difference between bobby and the pool deck is 35 feet

Step-by-step explanation:

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3 years ago

HELPPPPP MEEEEEE PLSSSSS ASAPPPPPPPPP!!!!!!!!

mestny [16]

Answer:

6. (Second page)

A. 1/4 of 24 = 6

B. 2/3 x 18 = 12

C. Cannot read problem

D. 3/4 x 25 = 18.75

E. 1/5 x 45 = 9

F. 4/5 x 45 = 36

7 0

3 years ago

Read 2 more answers

1. What is the value of x? Show all of your work.

asambeis [7]

AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117

Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9
$\sqrt{81} = 9$
Therefore AB is 9 cms.

3 0

3 years ago

Police use a radar unit is used to measure speeds of cars on a freeway. The speeds are normally distributed with a mean of 90 km

vagabundo [1.1K]

Answer:

A. P(x≥100)=0.1587

B. P(x≤0)≈0

Step-by-step explanation:

A. Cause we know the distribution of the data, the method used to solve it is called "Normalization" and we need to have the Mean and the Standard deviation of the data. The method consist in the following equation

P(x≤a)=P( z=((x-μ)/σ) ≤ b=((a-μ)/σ) )

Considering μ as the Mean and σ as the Standard deviation. At first, we had a probability in the normal distribution with Mean=90 and STD=10 but that kind of exercises is not meant to find that probability directly but by using this process.

After we normalize the probability, now we have a probability in a specific normal distribution that has Mean=0 and STD=1 and the difference with what we had before is that now we are able to use tools to find probabilities in a normal standard distribution. My favorite of them is a chart that show the approximate values of a lot of probabilities (i attached it to this answer). I´m going to explain point A as an example:

We look for the probability that P(x≥100), but we don´t have an easy method to use there, so we normalize:

P(x≥100)=P( (x-μ)/σ ≥ (100-μ)/σ )

P(x≥100)=P( z ≥ (100-90)/10 )

P(x≥100)=P( z ≥ 1 )

And now we are able to use the chart, let me explain: First, the chart only works with P(z ≤ b), so we have to change it with properties of probabilities before using the table.

P(z≥1)=1-P(z≤1)

And finally we use the chart:

the value of P(z≤1) is in the table, we look for the row with +1 and the column with the decimal part (in this case 0) and with coordinates (1,0) there´s the value:

P(z≤1)=0.8413

But we need P(z≥1) so we use the previous equality

P(z≥1)=1-P(z≤1)

P(z≥1)=1-0.8413

P(z≥1)=0.1587

Because P(x≥100)=P(z≥1), our final answer is 0.1587

B. We use the same process to try to understand what the probability of P(x≤0) represents.

P(x≤0)=P(z≤ (0-90)/10)

P(x≤0)=P( z ≤ -9 )

But when we try to look for its value in the chart It isn´t even there, what could it mean?

A normal distribution function is always increasing, that means that "a≤b if and only if P(x≤a) ≤ P(x≤b)". so we conclude:

P(z≤-9) ≤ P(z≤-3) (The lowest probability in the chart)

P(z≤-9) ≤ 0.0013

P(z≤-9) is way lower than 0.0013 (they aren´t even close) but we know that probability is always positive, and because of that:

P(x≤0)=P(z≤-9)≈0

5 0

3 years ago