Since the congruent angle is a right angle and it is not included, the two congruent sides of the triangles must include their hypotenuses and one of their legs.

The triangles would be congruent by the hypotenuse leg theorem, which states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent.

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3 years ago

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What is −30−6r= -36 ?

Nadya [2.5K]

-30-6r=36

We move all terms to the left:

-30-6r-(36)=0

We add all the numbers together, and all the variables

-6r-66=0

We move all terms containing r to the left, all other terms to the right

-6r=66

r=66/-6

r=-11

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3 years ago

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Bob is doing a quality test on machine bolts. He tested 24 bolts that he randomly picked and found that 5 were defective Based o

MissTica

Answer:

Mean of the binomial distribution

μ = 174.972 bolts

Step-by-step explanation:

Step(i):-

Given that Bob tested 24 bolts that he randomly picked and found that 5 were defective

The proportion of the defective item

$p = \frac{x}{n} = \frac{5}{24} = 0.2083$

Step(ii):-

Let 'x' be a random variable in a binomial distribution

Mean of the binomial distribution

μ = np

μ = 840 ×0.280

μ = 174.972

Final answer:-

Mean of the binomial distribution μ = 174.972 bolts

4 0

3 years ago