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pishuonlain [190]

3 years ago

12

What are the missing angle measures for

1 answer:

Alenkinab [10]3 years ago

7 0

W=148
V=180-148=32
V=32
T=148
S=148
Yes, it is correct

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Suppose there are 4 defective batteries in a drawer with 10 batteries in it. A sample of 3 is taken at random without replacemen

SSSSS [86.1K]

Answer:

a.) 0.5

b.) 0.66

c.) 0.83

Step-by-step explanation:

As given,

Total Number of Batteries in the drawer = 10

Total Number of defective Batteries in the drawer = 4

⇒Total Number of non - defective Batteries in the drawer = 10 - 4 = 6

Now,

As, a sample of 3 is taken at random without replacement.

a.)

Getting exactly one defective battery means -

1 - from defective battery

2 - from non-defective battery

So,

Getting exactly 1 defective battery = ⁴C₁ × ⁶C₂ = $\frac{4!}{1! (4 - 1 )!}$ × $\frac{6!}{2! (6 - 2 )!}$

= $\frac{4!}{(3)!}$ × $\frac{6!}{2! (4)!}$

= $\frac{4.3!}{(3)!}$ × $\frac{6.5.4!}{2! (4)!}$

= $4$ × $\frac{6.5}{2.1! }$

= $4$ × $15$ = 60

Total Number of possibility = ¹⁰C₃ = $\frac{10!}{3! (10-3)!}$

= $\frac{10!}{3! (7)!}$

= $\frac{10.9.8.7!}{3! (7)!}$

= $\frac{10.9.8}{3.2.1!}$

= 120

So, probability = $\frac{60}{120} = \frac{1}{2} = 0.5$

b.)

at most one defective battery :

⇒either the defective battery is 1 or 0

If the defective battery is 1 , then 2 non defective

Possibility = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 0 , then 3 non defective

Possibility = ⁴C₀ × ⁶C₃

= $\frac{4!}{0! (4 - 0)!}$ × $\frac{6!}{3! (6 - 3)!}$

= $\frac{4!}{(4)!}$ × $\frac{6!}{3! (3)!}$

= 1 × $\frac{6.5.4.3!}{3.2.1! (3)!}$

= 1× $\frac{6.5.4}{3.2.1! }$

= 1 × 20 = 20

getting at most 1 defective battery = 60 + 20 = 80

Probability = $\frac{80}{120} = \frac{8}{12} = 0.66$

c.)

at least one defective battery :

⇒either the defective battery is 1 or 2 or 3

If the defective battery is 1 , then 2 non defective

Possibility = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 2 , then 1 non defective

Possibility = ⁴C₂ × ⁶C₁

= $\frac{4!}{2! (4 - 2)!}$ × $\frac{6!}{1! (6 - 1)!}$

= $\frac{4!}{2! (2)!}$ × $\frac{6!}{1! (5)!}$

= $\frac{4.3.2!}{2! (2)!}$ × $\frac{6.5!}{1! (5)!}$

= $\frac{4.3}{2.1!}$ × $\frac{6}{1}$

= 6 × 6 = 36

If the defective battery is 3 , then 0 non defective

Possibility = ⁴C₃ × ⁶C₀

= $\frac{4!}{3! (4 - 3)!}$ × $\frac{6!}{0! (6 - 0)!}$

= $\frac{4!}{3! (1)!}$ × $\frac{6!}{(6)!}$

= $\frac{4.3!}{3!}$ × 1

= 4×1 = 4

getting at most 1 defective battery = 60 + 36 + 4 = 100

Probability = $\frac{100}{120} = \frac{10}{12} = 0.83$

3 0

3 years ago

Brian's math test scores are: 86, 90, 93, 85, 79, 92. What is the mean and median?

IgorLugansk [536]

Answer:

Median: 89

Mean: 87.5

Step-by-step explanation:

86, 90, 93, 85, 79, 92

93, 85

93 + 85

178

178/2

89

86 + 90 + 93 + 85 + 79 + 92

525

525/6

87.5

4 0

3 years ago

find the area of the shape below

Norma-Jean [14]

Answer:

235 cm²

Step-by-step explanation:

Find area of the large rectangle on the bottom. To do that, find its length and width, then multiply them together.

Length of big rectangle=20 cm

Width of big rectangle=9 cm

20x9=180 cm²

Next, find the area of the small rectangle on the top. To do that, find its length and width, then multiply them together.

Length of small rectangle=11 cm

Width of small rectangle=5 cm

I found the width by subtracting 9 from 14, since the 9 cm is part of the large rectangle.

11x5=55 cm²

Add the areas of the two rectangles.

55+180=235 cm²

5 0

3 years ago

Which fraction is equivalent to 2 over negative 6?

Advocard [28]

It’s negative 2 over 6

5 0

3 years ago

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*****BRAINLIEST AVAILABLE********

sweet-ann [11.9K]

Answer: C, D

<u>Explanation:</u>

Length: L = x + 3

width: x ≥ y + 2 ⇒ y ≤ x - 2

wheels: y

0.50(L * x) + 4(2.25y) ≤ 50

0.50(x + 3)(x) + 4(2.25y) ≤ 50

0.50(x² + 3x) + 9y ≤ 50

9y ≤ 50 - 0.50(x² + 3x)

<u>9y</u> ≤ <u>50 - 0.50x² - 1.5x</u>

÷9 ÷9

y ≤ $\frac{50}{9}-\frac{1}{6}x-\frac{1}{18}x^{2}$

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15 per person is the rate

22 is the constant

y = 15x + 22

<em>divide that by the number of people (x) to get:</em>

y = $\frac{15x + 22}{x}$

8 0

4 years ago

Read 2 more answers