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Ksivusya [100]
3 years ago
13

Anyone help me, please I need help

D%7Bx%20-%202%7D%20" id="TexFormula1" title=" \sqrt{x - 5} = 8 \sqrt[]{x - 2} " alt=" \sqrt{x - 5} = 8 \sqrt[]{x - 2} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

No Real Solutions.

Step-by-step explanation:

√(x-5)=8√(x-2)

Square on both sides,

(√(x-5))^2=(8√(x-2))^2

or,(x-5)=64(x-2)

or,x-5=64x-128

or,-5+128=64x-x

or,123/63=x

Therefore, x=41/21

If you plug x=41/21 in √(x-5)=8√(x-2) you do not get equals, so the problem has no real solutions.

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Based on past experience, the main printer in a university computer centre is operating properly 90% of the time. Suppose inspec
yaroslaw [1]

Answer:

a) 38.74% probability that the main printer is operating properly for exactly 9 inspections.

b) Approximately 100% probability that the main printer is operating properly for at least 3 inspections.

c) The expected number of inspections in which the main printer is operating properly is 9.

Step-by-step explanation:

For each inspection, there are only two possible outcomes. Either it is operating correctly, or it is not. The probability of the printer operating correctly for an inspection is independent of any other inspection, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Based on past experience, the main printer in a university computer centre is operating properly 90% of the time.

This means that p = 0.9

Suppose inspections are made at 10 randomly selected times.

This means that n = 10

A) What is the probability that the main printer is operating properly for exactly 9 inspections.

This is P(X = 9). So

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

P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874

38.74% probability that the main printer is operating properly for exactly 9 inspections.

B) What is the probability that the main printer is operating properly for at least 3 inspections?

This is:

P(X \geq 3) = 1 - P(X < 3)

In which

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

So

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

P(X = 0) = C_{10,0}.(0.9)^{0}.(0.1)^{10} \approx 0

P(X = 1) = C_{10,1}.(0.9)^{1}.(0.1)^{9} \approx 0

P(X = 2) = C_{10,2}.(0.9)^{2}.(0.1)^{8} \approx 0

Thus:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0 = 0

Then:

P(X \geq 3) = 1 - P(X < 3) = 1 - 0 = 1

Approximately 100% probability that the main printer is operating properly for at least 3 inspections.

C) What is the expected number of inspections in which the main printer is operating properly?

The expected value for the binomial distribution is given by:

E(X) = np

In this question:

E(X) = 10(0.9) = 9

3 0
3 years ago
Translate the following statement into a mathematical equation:
steposvetlana [31]
The answer is the first choice, 3(w-4)=5.

3 times = 3
a number minus four = (w-4)
is five = 5

I hope this helps.
8 0
3 years ago
PLZ ASAP HURRY PLZ PLZ HURRY!!!!!!!!!
Deffense [45]

b (-1, -2) because the function value changed from increasing to decreasing

3 0
3 years ago
Read 2 more answers
15/35 in simplest form
Aleksandr-060686 [28]
Find the GCF of 15 and 35
15=3*5
35=7*5
The Greatest Common Factor here is 5
Divide both the numerator and denominator by this value to get the simplest form.
15/5=3
35/5=7
Final answer: 3/7
5 0
4 years ago
Read 2 more answers
Please help!!!!!!!!!!
Gnoma [55]

Answer:

The surface of the prism is 84m²

Step-by-step explanation:

You have 4 figures here (two the same triangles)

you need to determine the surface of each and then sum it to one. This will be your final surface.

rectangles:

3*6= 18m²

5*6 = 30m²

4*6 = 24m²

triangles:

You need to determine the square of the triangles from the Heron's formula.

Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is

S=\sqrt{s(s-a)(s-b(s-c)},

where s is the semi-perimeter of the triangle; that is,

s=\frac{a+b+c}{2}.

So the permimeter of the triangle is

2p=4+5+3 = 12m

p = 6m

S = \sqrt{p*(p-a)*(p-b)*(p-c)}  = \sqrt{6*(6-3)*(6-4)*(6-5)}  = \sqrt{6*3*2*1} =\sqrt{36} =6[m^{2} ]

So the surface of the prism is a total sum of all surfaces:

P = 18m²+30m²+ 24m²+2*6m² = 84m²

6 0
3 years ago
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