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3 years ago

What is the value of d?

Mathematics

2 answers:

ddd [48]3 years ago

8 0

Answer:

Step-by-step explanation:

Ok so this picture may look super super complicated but it's actually not too terrible.

The best (and only) way to start this problem is to find angle "b". To find angle "b" you can use the 107° angle next to it. When two angles are made by crossing lines the angles next to each other will always add up to 180°. so in that case:

107+b=180

b=73

Now that we know what b is we can just use our incredibly extensive knowledge of those three sided shapes I like to call triangles. If you look at the picture you can see that angles d, b(73°) and 45° make a triangles and all of them together will add up to 180° because there are 180° in a triangle. So...

d+73+45=180

d+118=180

d=62

(Disclaimer: there is another way to solve this problem but I like that way the best)

Here's the other way (i'm not going to explain this super in depth tho).

Angle a must be 45 because of the alternate angle theorem. d+a must be 107 because of the alternate angle theorem.

d+45=107

d=62

Zanzabum3 years ago

7 0

Answer: 62

Step-by-step explanation:

We know that a straight line= 180,

So look at the 107,

Do 180-107 for the value of b

Which = 73,

So b=73

No add 45 to 73 which gives 118,

Now we know that all 3 angles in a triangle is 180,

So finally we do 180-118= 62

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Consider the following exponential probability density function. f(x) = 1 5 e−x/5 for x ≥ 0 (a) Write the formula for P(x ≤ x0).

Anna71 [15]

Question:

Consider the following exponential probability density function.

f(x) = 1/5e^(−x/5) for x ≥ 0

(a) Write the formula for P(x ≤ x0). (b) Find P(x ≤ 4). (Round your answer to four decimal places.) (c) Find P(x ≥ 5). (Round your answer to four decimal places.) (d) Find P(x ≤ 6). (Round your answer to four decimal places.) (e) Find P(4 ≤ x ≤ 6). (Round your answer to four decimal places.)

Answer:

(a) P(x ≤ x0) = 1 - e^(−x0/5)

(b) P(x ≤ 4) = 0.5506

(d) P(x ≤ 6) = 0.6988

(e) P(4 ≤ x ≤ 6) = 0.1482

Step-by-step explanation:

The standard form of the exponential probability density function is given by

f(x) = 1/μe^(−x/μ)

Where μ is the mean, for the given problem μ = 5

(a) Write the formula for P(x ≤ x0)

P(x ≤ x0) = 1 - e^(−x0/5)

(b) Find P(x ≤ 4)

P(x ≤ 4) = 1 - e^(−4/5)

P(x ≤ 4) = 1 - 0.4493

P(x ≤ 4) = 0.5506

P(x ≥ 5) = e^(−5/5)

P(x ≥ 5) = 0.3678

(d) Find P(x ≤ 6)

P(x ≤ 6) = 1 - e^(−6/5)

P(x ≤ 6) = 1 - 0.3011

P(x ≤ 6) = 0.6988

(e) Find P(4 ≤ x ≤ 6)

P(4 ≤ x ≤ 6) = e^(−4/5) - e^(−6/5)

P(4 ≤ x ≤ 6) = 0.4493 - 0.3011

P(4 ≤ x ≤ 6) = 0.1482

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pochemuha

Answer:

1.46

Step-by-step explanation:

To write 73/50 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 73 by 50 what we write down as 73/50 and we get 1.46

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Answer:

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