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VLD [36.1K]
2 years ago
9

17. Find the reflection of the point A(6.-1) in the x-axis.​

Mathematics
1 answer:
castortr0y [4]2 years ago
5 0

Answer:

Your answer will be (6,1)

Step-by-step explanation:

I know this because a reflection over the x-axis is (x,y) -> (x,-y) If you apply this to (6,-1) you get (6,1).

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I toss an unfair coin 12 times. This coin is 65% likely to show up heads. Calculate the probability of the following.
mars1129 [50]

Answer:

a. 0.0368

b. 0.99992131

c. 0.2039

d. 0.0048

e. 0.6533

Step-by-step explanation:

Let the probability of obtaining a head be p = 65% = 13/20 = 0.65. The probability of not obtaining a head is q = 1 - p = 1 -13/20 = 7/20 = 0.35

Since this is a binomial probability, we use a binomial probability.

a. The probability of obtaining 11 heads is ¹²C₁₁p¹¹q¹ = 12 × (0.65)¹¹(0.35) = 0.0368

b. Probability of 2 or more heads P(x ≥ 2) is

P(x ≥ 2) = 1 - P(x ≤ 1)

Now P(x ≤ 1) = P(0) + P(1)

= ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹

= (0.65)⁰(0.35)¹² + 12(0.65)¹(0.35)¹¹

= 0.000003379 + 0.00007531

= 0.0007869

P(x ≥ 2) = 1 - P(x ≤ 1)

= 1 - 0.00007869

= 0.99992131

c. The probability of obtaining 7 heads is ¹²C₇p⁷q⁵ = 792(0.65)⁷(0.35)⁵ = 0.2039

d. The probability of obtaining 7 heads is ¹²C₉q⁹p³ = 220(0.65)³(0.35)⁹ = 0.0048

e. Probability of 8 heads or less P(x ≤ 8) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰ + ¹²C₃p³q⁹ + ¹²C₄p⁴q⁸ + ¹²C₅p⁵q⁷ + ¹²C₆p⁶q⁶ + ¹²C₇p⁷q⁵ + ¹²C₈p⁸q⁴

= = ¹²C₀(0.65)⁰(0.35)¹² + ¹²C₁(0.65)¹(0.35)¹¹ + ¹²C₂(0.65)²(0.35)¹⁰ + ¹²C₃(0.65)³(0.35)⁹ + ¹²C₄(0.65)⁴(0.35)⁸ + ¹²C₅(0.65)⁵(0.35)⁷ + ¹²C₆(0.65)⁶(0.35)⁶ + ¹²C₇(0.65)⁷(0.35)⁵ + ¹²C₈(0.65)⁸(0.35)⁴

= 0.000003379 + 0.00007531 + 0.0007692 + 0.004762 + 0.01990 + 0.05912 + 0.1281 + 0.2039 + 0.2367

= 0.6533

3 0
3 years ago
Measure Math | Welcome, HAILEE KNOTT
grandymaker [24]

Answer: 15\times\frac{1}{2}

Explanation:

Multiplying by 1/2 is the same as dividing by 2.

For example, if you have 10 slices of cake and 2 friends, then each friend gets 10/2 = 5 slices. We could also say 10\times \frac{1}{2} = 5

The fraction 1/2 converts to the decimal form 0.5, which means 10 \times \frac{1}{2} = 10*0.5

3 0
2 years ago
Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins. Is the amount Mrs. Kloske and Mrs. Shelly paid equival
Mrac [35]
Yes, because you can multiply $3 by 3 to get $9 and 6 muffins by 3 to get 9 muffins.
8 0
2 years ago
Read 2 more answers
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
Art [367]

Answer: 30°, 67° e 83°.

Step-by-step explanation: The angles are (2x + 16)/5 , x e x + 16°

Adding all the angles, comes:

(2x + 16)/5 + x + x + 16° = 180° ;

2x + 16° + 5x + 5x + 80° = 900° ;

12x = 900° - 16° - 80° ;

12x = 804°° ;

x = 804°/12 ;

x = 67°

So, the first angle is (2,67 + 16)/5 = 30°, the second is 67° and the third is 83°.

7 0
3 years ago
Read 2 more answers
What are a, b, c and d​
GuDViN [60]

Answer:

Step-by-step explanation:

4 g.

c=42

a=b=d

a+b+42=180

a+a=180-42

2a=138

a=138/2=69

a=69

b=69

c=42

d=69

5a.

a=30

angle O=180-(a+30)=180-(30+30)=180-60=120°

d=80

angle O=180-(d+80))=180-(80+80)=180-160=20°

central angle O of middle triangle=180-(120+20)=180-140=40°

b=c

b+c+40=180

b+b=180-40

2b=140

b=140/2=70

b=70°

c=70°

7 0
2 years ago
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