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givi [52]
2 years ago
9

Find the least 2-digit whole number N so that the sum 2^9+2^4+N is a perfect square.

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
3 0

Answer:

N=48

Step-by-step explanation:

2^9+2^4+48=576

576 is a perfect square

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A square floor tile has a diagonal 19 inches long. What is the area of the tile?
Anit [1.1K]

Answer:

C

Step-by-step explanation:

The answer is C because you plugin using the area formula.

3 0
3 years ago
How do you simplify 16^2/24^7
quester [9]

Answer:

1/(2¹³·3⁷)

Step-by-step explanation:

                                                16²/24⁷

Factor the terms                  = (2⁴)²/(8×3)⁷

Apply the Power Rule        = 2⁸/(2³×3)⁷

Apply the Power Rule        = 2⁸/(2²¹ × 3⁷)

Apply the Quotient Rule    = 1/(2¹³·3⁷)

5 0
3 years ago
Determine which statements are true in reals3. (Selectall that apply.)
Serggg [28]

Answer:

(a)Two lines parallel to a third line are parallel.

(c) Two planes parallel to a third plane are parallel.

(f) Two lines perpendicular to a plane are parallel.

(h) Two planes perpendicular to a line are parallel.

(i) Two planes either intersect or are parallel.

(k) A plane and a line either intersect or are parallel

Step-by-step explanation:

(b) Two lines perpendicular to a third line are parallel. -- No. The y-, and z-axes are perpendicular to the x-axis, but are not parallel.

(d) Two planes perpendicular to a third plane are parallel. -- No. The x-y and y-z coordinate planes are both perpendicular to the x-z coordinate plane, but are at right angles to each other.

(e) Two lines parallel to a plane are parallel. -- No. Two intersecting lines in the plane z=0 are both parallel to the plane z=1, but are not parallel to each other.

(g) Two planes parallel to a line are parallel. -- No. Both the x-z plane and the y-z plane are parallel to the line (x, y, z) = (1, 1, z), but those coordinate planes are perpendicular to each other.

(j) Two lines either intersect or are parallel. -- No. The lines may be skew, running different directions in parallel panes.

6 0
3 years ago
Multiplying negative mixed numbers:
ra1l [238]

Answer:

the answer is -59 .........

8 0
3 years ago
Clarinex-D is a medication whose purpose is to reduce the symptoms associated with a variety of allergies. In clinical trials of
Sav [38]

Using the binomial distribution, it is found that there is a 0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect, which means that it is a highly likely event.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

The values of the parameters are given as follows:

n = 20, p = 0.05.

The probability that 3 or fewer experienced insomnia as a side effect is given by:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.3585

P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774

P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

Then:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9842

0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect.

Since this probability is greater than 95%, this is a highly likely event.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

3 0
2 years ago
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