<span>1. Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.
What is the theoretical probability that the family has two dogs or two cats?
25% chance
</span><span>2. Describe how to use two coins to simulate which two pets the family has.
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You could use the coins to simulate which pet the family has by flipping them and having head be dog and tails be cat (or vice-versa).
<span>3. Flip both coins 50 times and record your data in a table like the one below.
</span><span>Based on your data, what is the experimental probability that the family has two dogs or two cats?
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Based on the results, I concluded that for Heads, Heads (which could be dogs or cats) there was a 24% chance and for Tails, Tails there was a 26% chance
<span>4. If the family has three pets, what is the theoretical probability that they have three dogs or three cats?
1/8 chance (accidentally messed up there) or 12.5%
</span><span>5. How could you change the simulation to generate data for three pets?
</span><span>
To flip 3 coins and add more spots on the chart.
I hope that this helps because it took a while to write out. If it does, please rate as Brainliest
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Answer:
2310m^3
Step-by-step explanation:
base area which is the circle = πr^2
But diameter, d = 14, r = 14/2 = 7
area = π × (7)^2 = 22/7 × 49 = 22 × 7 = 154
Volume = base area × height
= 154 × 15 = 2310
1) We have 1300 packing peanuts, and 20 ft^2. Therefore, to find out how many packing peanuts there are per square foot, we divide the number of peanuts (1300) by the number of square feet (20 ft^2). This gives us 1300 / 20 = 65 packing peanuts per square foot.
2) We do not know the current volume of the box which fits the 1300 packing peanuts (all we know is its area). But it is reasonable to expect that if we increase the volume by 25%, the number of packing peanuts will also increase by 25%. This means we can fit 1300*(1.25) = 1625 peanuts in the larger box.
3) This will depend on how the box is larger. If its height remains the same, and its floor area increases to accommodate the greater volume, then the number of packing peanuts per square foot remains the same.
However, if the height of the box is different, then the number of packing peanuts per square foot will change, since the floor area will not increase by the same 25% any more.
Answer:
A
Step-by-step explanation:
given the roots of a polynomial, say x = a, x = b and x = c, then
(x - a), (x - b) and (x - c) are it's factors and the polynomial is the product of it's factors.
here the roots are x = 4, x = - 5 and x = 7, hence
(x - 4), (x + 5) and (x - 7) are the factors
f(x) = a(x - 4)(x + 5)(x - 7) ← a is a multiplier
let a = 1 and expand the factors
f(x) = (x² + x - 20)(x - 7)
= x³ + x² - 20x - 7x² - 7x + 140
= x³ - 6x² - 27x + 140 → A
