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gizmo_the_mogwai [7]
3 years ago
12

Guided Practice

Mathematics
1 answer:
elena-s [515]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

The experimental probability of heads is

P( heads) = 28/50 = 14/25

The theoretical probability is

P (heads) =1/2

Getting a common denominator for the experimental

25/50

comparing the experimental and the theoretical

28/50 > 25/50

experimental > theoretical

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Aleonysh [2.5K]

Answer:

A

Step-by-step explanation:

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3 years ago
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HELP PLEASE!!!!! Solve each system.
Ede4ka [16]

15.\ \text{Elimination method}\\\underline{+\left\{\begin{array}{ccc}y=-3x+9\\y=3x+3\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2y=12\qquad\text{divide both sides by 2}\\.\qquad \boxed{y=6}\\\\\text{put the value of y to the second equation}\\\\6=3x+3\qquad\text{subtract 3 from both sides}\\3=3x\qquad\text{divide both sides by 3}\\1=x\to\boxed{x=1}\\\\Answer:\ x=1,\ y=6\to(1,\ 6)


16.\ \text{Substitution method}\\\left\{\begin{array}{ccc}y=11x+4\\y=7x-16\end{array}\right\Rightarrow11x+4=7x-16\\\\11x+4=7x-16\qquad\text{subtract 4 from both sides}\\11x=7x-20\qquad\text{subtract 7x from both sides}\\4x=-20\qquad\text{divide both sides by 4}\\\boxed{x=-5}\\\\\text{Put the value of x to the first equation}\\\\y=11(-5)+4\\y=-55+4\\\boxed{y=-51}\\\\Answer:\ x=-5,\ y=-51\to(-5,\ -51)

7 0
3 years ago
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Zack wants a new skateboard that costs $98. He has a coupon for 20% off the original price. The sales tax is 6%, what is the fin
svet-max [94.6K]

The final cost of skateboard will be $83.10

Step-by-step explanation:

Given,

Cost of skateboard = $98

Coupon = 20% off

Amount of discount = 20% of cost of skateboard

Amount\ of\ discount=\frac{20}{100}*98\\\\Amount\ of\ discount=\frac{1960}{100}\\\\Amount\ of\ discount=\$19.6

Cost of skateboard after discount = Cost of skateboard - Amount of discount

Cost of skateboard after discount = 98 - 19.6 = $78.4

Sales tax = 6%

Sales tax amount = 6% of discounted price

Sales\ tax\ amount=\frac{6}{100}*78.4\\\\Sales\ tax\ amount=\frac{470.4}{100}\\\\Sales\ tax\ amount=\$4.70

Final cost of skateboard = Discounted price + Sales tax

Final cost of skateboard = 78.40+4.70 = $83.10

The final cost of skateboard will be $83.10

Keywords: sales tax, addition

Learn more about addition at:

  • brainly.com/question/9533500
  • brainly.com/question/9527632

#LearnwithBrainly

7 0
3 years ago
Show your full solution
alex41 [277]

Answer:

1.the square pan is larger by 12 inches

40 cm^2

Step-by-step explanation:

The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle

perimeter of a square = 4 x length

14 x 4 = 56 inches

Circumference of a circle = πD = (22/7) x 14 = 44 inches

Difference in size = 56 - 44 = 12 inches

Area of a rectangle = length x width

10 x 4 - 40 cm^2

3 0
3 years ago
A shirt is on sale for 45% off the price. The cost of the shirt is $14.95. What is the price of the shirt now?
Pavlova-9 [17]

Answer:

$8.2225

Step-by-step explanation:

100% - 45% = 55%

then divide 55 by 100 to get .55

lastly multiply .55 to 14.95 to get 8.2225

3 0
3 years ago
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