Answer:
2 1/9
Step-by-step explanation:
Divide 19 by 9 and get a number with a remainder
Take remainder and put it as the numerator with 9 and the denominator and with 2 as the whole number
Perimeter = 2 × π × r
Perimeter = 2 × 3.14 × 9
Perimeter = 56.52
Perimeter = 56.52 ÷ 2
Perimeter = 28.26
The perimeter of a semicircle with a radius of 9mm is 28.26
2 Answers:
Choice C) It will use a closed circle
Choice D) The ray will move to the left
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Explanation:
The inequality
means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was
to exclude the endpoint -8.
The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.
In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.
Answer: "greater than" for each of the 4 dropdown menus
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Explanation:
Divide each value in the table by 40
You should get:
- Horse = 15/40 = 0.375
- Cow = 12/40 = 0.300
- Sheep = 14/40 = 0.350
- Pig = 19/40 = 0.475
Those decimal results are the experimental (ie empirical) probabilities. Theoretically, we should get 1/4 = 0.250 for each sticker type assuming each sticker is likely to be chosen. As you can see, each decimal value shown above is larger than the theoretical target of 0.250, so each answer is "greater than"
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Here's another way to see why this is:
If we had 40 stickers total, and each animal has the same number of stickers, then we should have 40/4 = 10 stickers per animal type. But the table shows each frequency is above 10. So that must directly mean the empirical probability of picking any animal is greater than the theoretical probability.