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Lana71 [14]
3 years ago
15

Can you slove any one question ​

Mathematics
2 answers:
kherson [118]3 years ago
5 0

Answer:

Step-by-step explanation:

I'm not sure how to solve the first one, but I'll try to simplify sqrt3-1/sqrt3+1. I simplified it and I got 2-sqrt3. Does that help?

For question 2, I got -0.251.

SVEN [57.7K]3 years ago
3 0

Answer:

1) \frac{\sqrt{3}-1 }{\sqrt{3}+1}=\frac{(\sqrt{3}-1)^{2}  }{(\sqrt{3}+1)(\sqrt{3}-1)  }=\frac{4-2\sqrt{3} }{3-1}=\frac{4-2\sqrt{3} }{2}=2-\sqrt{3}

but \frac{\sqrt{3}-1 }{\sqrt{3}+1 }=a+b\sqrt{3}

=> a = 2

    b = -1

2) \frac{\sqrt{10}-\sqrt{15}  }{2\sqrt{2} }=\frac{\sqrt{20}-\sqrt{30}  }{4}=\frac{2\sqrt{5}-\sqrt{30}  }{4}=-0.251

Step-by-step explanation:

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Consider a large shipment of 400 refrigerators, of which 40 have defective compressors. If X is the number among 15 randomly sel
Vlad [161]

Answer:

The required probability is 0.94

Step-by-step explanation:

Consider the provided information.

There are 400 refrigerators, of which 40 have defective compressors.

Therefore N = 400 and X = 40

The probability of defective compressors is:

\frac{40}{400}=0.10

It is given that If X is the number among 15 randomly selected refrigerators that have defective compressors,

That means n=15

Apply the probability density function.

P(X=x)=^nC_xp^x(1-p)^{n-x}

We need to find P(X ≤ 3)

P(X\leq3) =P(X=0)+P(X=1)+P(X=2)+P(X=3)\\P(X\leq3) =\frac{15!}{15!}(0.1)^0(1-0.1)^{15}+\frac{15!}{14!}(0.1)^1(1-0.1)^{14}+\frac{15!}{13!2!}(0.1)^2(1-0.1)^{13}+\frac{15!}{12!3!}(0.1)^3(1-0.1)^{12}\\

P(X\leq3) =0.944444369992\approx 0.94

Hence, the required probability is 0.94

4 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
timurjin [86]

Answer:

f=22 degrees, g=89 degrees

step by step explaination:

When two lines are parallel to one another, and a line is drawn between them, any angle labeled will be equal to the angle on the opposite side of the middle line. This would make f=h, g=d, and even the angle 69 equal to angle e.

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3 years ago
Solve for t. 3t - 18 = 4(-3-3/4t). t=
Alex73 [517]

Answer:T=1

Step-by-step explanation:

4 0
2 years ago
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The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.
Mashcka [7]

Answer:

\frac{\sqrt{10}}{2}

Step-by-step explanation:

The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that a^2+b^2=c^2, where c is the hypotenuse of the triangle, and a and b are the two legs of the triangle.

From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of \sqrt{5}, we have:

x^2+x^2=\sqrt{5}^2,\\2x^2=5,\\x^2=\frac{5}{2},\\x=\sqrt{\frac{5}{2}}=\frac{\sqrt{5}}{\sqrt{2}}=\frac{\sqrt{5}}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\boxed{\frac{\sqrt{10}}{2}}

7 0
3 years ago
Order the fractions from least to greatest: 1/2 1/3 1/4
SashulF [63]

Answer:

1/4, 1/3, 1/2 is your answer.

Step-by-step explanation:

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1/4, 1/3, 1/2 is your answer.

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