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3 years ago

Which expression is equivalent to 3.6 times 3.6 times 3.6 times 3.6?

Mathematics

2 answers:

Ulleksa [173]3 years ago

6 0

It is multiplied by itself 4 times so the exponent is 4
3.6⁴ is an equivilent expression

LenaWriter [7]3 years ago

3 0

3.6 to the power of 4

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If I chose a number uniformly from the integers from 1 to 25, calculate the conditional probability that the number is a multipl

topjm [15]

Answer:

Step-by-step explanation:

If I choose a number from the integers 1 to 25, the total number of integers I can pick is the total outcome which is 25. n(U) = 25

Let the probability that the number chosen at random is a multiple of 6 be P(A) and the probability that the number chosen at random is is larger than 18 be P(B)

P(A) = P(multiple of 6)

P(B) = P(number larger than 18)

A = {6, 12, 18, 24}

B = {19, 20, 21, 22, 23, 24, 25}

The conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is expressed as P(A|B).

P(A|B) = P(A∩B)/P(B)

Since probability = expected outcome/total outcome

A∩B = {24}

n(A∩B) = 1

P(A∩B) = n(A∩B)/n(U)

P(A∩B) = 1/25

Given B = {19, 20, 21, 22, 23, 24, 25}.

n(B) = 7

p(B) = n(B)/n(U)

p(B) = 7/25

Since P(A|B) = P(A∩B)/P(B)

P(A|B) = (1/25)/(7/24)

P(A|B) = 1/25*25/7

P(A|B) = 1/7

<em>Hence the conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is 1/7</em>

7 0

3 years ago

To measure the height of a tree, a surveyor walked a short distance from the tree and found the angle of elevation was 43.9°, th

padilas [110]

Answer:

The height of the tree is H = 77.06 m

Step-by-step explanation:

From Δ ABC

AB = height of the tree

$\tan 43.9 = \frac{AB}{BC}$

$\tan 43.9 = \frac{h}{x}$

h = 0.9623 x ------- (1)

From Δ ABD

$\tan 37.6 = \frac{h}{20+ x}$

h = 0.77 (x + 20) ----- (2)

Equating Equation 1 & 2 we get

0.9623 x = 0.77 (x + 20)

0.9623 x = 0.77 x + 15.4

x (0.1923) = 15.4

x = 80.08 m

Thus the height of the tree is given by

H = 0.9623 x

H = 0.9623 × 80.08

H = 77.06 m

Therefore the height of the tree is H = 77.06 m

4 0

4 years ago

Solve this quadratic equation by completing the square.

nadya68 [22]

Answer:

$x=-3+\sqrt{27}\\ x=-3-\sqrt{27}$

Step-by-step explanation:

Let's find our C value for the quadratic equation.

$(\frac{6}{2})^{2} = 9$

That is our C. Since we added 9 to one side, we have to do the same to the other. We get:

$x^{2} +6x + 9 = 18 + 9\\x^{2} +6x + 9 = 27$

Now, lets form the left side as a binomial squared.

$(x+3)^{2} = 27$

Let's square both sides now:

$x+3 = (+/-)\sqrt{27}$

Now, we subtract 3 from both sides to isolate the variable, X:

$x= -3(+/-)\sqrt{27}$

This means that the answers are:

$x=-3+\sqrt{27}\\ x=-3-\sqrt{27}$

I do not understand your answers though. Answer A makes no sense, answer B is 221, answer C is 115, and answer D also does not make sense. If you could clarify this portion, maybe I can help you find your alphabetic answer

3 0

3 years ago

Graph the given relation or equation and find the domain and range. Then

vredina [299]

X=1 Hopefully that helped

6 0

3 years ago

Consider the population consisting of all computers of a certain brand and model, and focus on whether a computer needs service

eimsori [14]

Answer and explanation:

A. What is the probability that more than half of the sample of 100 computers would need warranty service?

What is the probability that more than half of the sample of 100 computers would not need warranty service?

What is the probability that out of sample of 100 more than 20% would require warranty service?

B. If our sample of 100 computers of that brand and model reveals that 30 computers need warranty service, does this give a valid conclusion that all such computers in the population would require about 30% warranty service or less?

7 0

3 years ago