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3 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.

Mathematics

2 answers:

sammy [17]3 years ago

5 0

Answer:

The answer to your question is VW = 2.2

Step-by-step explanation:

Data

angle = 63°

hypotenuse = ?

adjacent side = 1

Process

To solve this problem use trigonometric functions, the trigonometric function that relates the adjacent side and the hypotenuse is cosine.

cos α = $\frac{adjacent side}{hypotenuse}$

solve for hypotenuse

hypotenuse = $\frac{adjacent side}{cos \alpha}$

Substitution

hypotenuse = $\frac{1}{cos 63}$

Simplification

hypotenuse = $\frac{1}{0.45}$

Result

hypotenuse = 2.2

jenyasd209 [6]3 years ago

4 0

Answer:

Step-by-step explanation:

Triangle UVW is a right angle triangle.

From the given right angle triangle

VW represents the hypotenuse of the right angle triangle.

With ∠W as the reference angle,

UW represents the adjacent side of the right angle triangle.

UV represents the opposite side of the right angle triangle.

To determine VW, we would apply the cosine trigonometric ratio. It is expressed as

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 63 = 1/VW

VWCos63 = 1

VW = 1/Cos 63 = 1/0.4540

VW = 2.2 to the nearest tenth

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Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. The article "Methodo

Shkiper50 [21]

Answer:

a) $P(X\leq 4)=0.0183+0.0733+ 0.1465+0.1954+0.1954=0.6288$

$P(X< 4)=P(X\leq 3)=0.0183+0.0733+ 0.1465+0.1954=0.4335$

b) $P(4\leq X\leq 8)=0.1954+0.1563+0.1042+0.0595+0.0298=0.5452$

c) $P(X \geq 8) = 1-P(X$

d) $P(4\leq X \leq 6)=0.1954+0.1563+0.1042=0.4559$

Step-by-step explanation:

Let X the random variable that represent the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. We know that $X \sim Poisson(\lambda=4)$

The probability mass function for the random variable is given by:

$f(x)=\frac{e^{-\lambda} \lambda^x}{x!} , x=0,1,2,3,4,...$

And f(x)=0 for other case.

For this distribution the expected value is the same parameter $\lambda$

$E(X)=\mu =\lambda=4$ , $Var(X)=\lambda=2$ , $Sd(X)=2$

a. Compute both P(X≤4) and P(X<4).

$P(X\leq 4)=P(X=0)+P(X=1)+ P(X=2)+P(X=3)+P(X=4)$

Using the pmf we can find the individual probabilities like this:

$P(X=0)=\frac{e^{-4} 4^0}{0!}=e^{-4}=0.0183$

$P(X=1)=\frac{e^{-4} 4^1}{1!}=0.0733$

$P(X=2)=\frac{e^{-4} 4^2}{2!}=0.1465$

$P(X=3)=\frac{e^{-4} 4^3}{3!}=0.1954$

$P(X=4)=\frac{e^{-4} 4^4}{4!}=0.1954$

$P(X\leq 4)=0.0183+0.0733+ 0.1465+0.1954+0.1954=0.9646$

$P(X< 4)=P(X\leq 3)=P(X=0)+P(X=1)+ P(X=2)+P(X=3)$

$P(X< 4)=P(X\leq 3)=0.0183+0.0733+ 0.1465+0.5311=0.7692$

b. Compute P(4≤X≤ 8).

$P(4\leq X\leq 8)=P(X=4)+P(X=5)+ P(X=6)+P(X=7)+P(X=8)$

$P(X=4)=\frac{e^{-4} 4^4}{4!}=0.1954$

$P(X=5)=\frac{e^{-4} 4^5}{5!}=0.1563$

$P(X=6)=\frac{e^{-4} 4^6}{6!}=0.1042$

$P(X=7)=\frac{e^{-4} 4^7}{7!}=0.0595$

$P(X=8)=\frac{e^{-4} 4^8}{8!}=0.0298$

$P(4\leq X\leq 8)=0.1954+0.1563+ 0.1042+0.0595+0.0298=0.5452$

c. Compute P(8≤ X).

$P(X \geq 8) = 1-P(X$

d. What is the probability that the number of anomalies exceeds its mean value by no more than one standard deviation?

The mean is 4 and the deviation is 2, so we want this probability

$P(4\leq X \leq 6)=P(X=4)+P(X=5)+P(X=6)$

$P(X=4)=\frac{e^{-4} 4^4}{4!}=0.1954$

$P(X=5)=\frac{e^{-4} 4^5}{5!}=0.1563$

$P(X=6)=\frac{e^{-4} 4^6}{6!}=0.1042$

$P(4\leq X \leq 6)=0.1954+0.1563+0.1042=0.4559$

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3 years ago

A. 20<br> b. 5<br> c. 40<br> d. 45

Rina8888 [55]

Answer:

C, 40

Step-by-step explanation:

You can set up the equation as 20+4x=180

180 is the total angle of the line

4x=160 and divide each side by 4

x=40

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3 years ago

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The ratio of the side lengths triangle is 7:24:29 and it’s perimeter is 180 m. What are the side lengths of the triangle? Select

kakasveta [241]

Answer: Only 21:72:87

Explanation: We know that the side lengths are not simply 7, 24, and 29, as the sum of these is only 60.

Therefore, we need to find the scale factor they were multiplied by to have side lengths with a sum of 180.

We can use 7x+24x+29x=180.

This becomes 60x=180 and the scale factor is x=3.

7*3=21, 24*3=72, and 29*3=87.

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3 years ago

One person can do a certain job in twenty-one minutes, and another person can do the same job in twenty-eight

ivolga24 [154]

Answer: 12

Step-by-step explanation:

if there are 2 people then doing the same job then that means divide by two so 8 which is off the 28 , 8 divided by 2 is 4, then, that makes 24 , and 24 divided by 2 is 12 so the answer is 12

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3 years ago

david earns $1.50 per hour more than peter. together, they earn $940 if they both work 40 hours in a week. how much money per ho

Korolek [52]

Answer:

469.25

Step-by-step explanation:

peter=x

david=x+1.50

x+(x+1.50)=940

x=940-x-1.50

2x=940-1.50

2x=938.5

x=938.5/2

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