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I am Lyosha [343]
3 years ago
9

Find the measure of each acute angle.

Mathematics
1 answer:
Alona [7]3 years ago
7 0

Answer:

(19x - 1)° = 56°

(13x - 5)° = 34°

Step-by-step explanation:

Property of the interior angles of a triangle:

Sum of interior angles of a triangle is 180°.

Therefore, sum of angles of the given right triangle will be,

(19x - 1)° + (13x - 5)° + 90° = 180°

32x - 6 + 90 = 180

32x = 96

x = 3

(19x - 1)° = 19×3 - 1 = 56°

(13x - 5)° = 13×3 - 5 = 34°

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A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.2 pounds and
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The standard deviation of the sampling distribution of sample means would be 0.8186.

Step-by-step explanation:

We are given that

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Using the formula

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3 years ago
Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the
mihalych1998 [28]

Answer:

a) 0.1353

b) 0.3679

Step-by-step explanation:

Let's start by defining the random variable T.

T : ''The time (in hours) required to repair a machine''

T ~ exp (λ)

T ~ exp (1)

The probability density function for the exponential distribution is

(In the equation I replaced λ = L)

f(x)=Le^{-Lx}

With L > 0 and x ≥ 0

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f(x)=e^{-x}

For a)

P(T>2)

P(T>2)=1-P(T\leq 2)

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P(T>2)=e^{-2}=0.1353

For b)

P(T\geq 10/T>9)

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur

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4 0
3 years ago
AD is a diameter of a circle and AB is a chord. If AD=34cm, AB=30cm, the distance of AB from the centre of the circle is :
e-lub [12.9K]

Answer:

   The distance is 8 cm

Step-by-step explanation:

The chord and the diameter form one leg and the hypotenuse of a right triangle. The other leg, BD, has length ...

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  BD = √256 = 16

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Answer:

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3 years ago
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