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Allisa [31]
3 years ago
10

The diagram below shows 5 identical bowls stacked one inside the other. The height of 1 bowl is 2 inches. The height of 5 bowls

is 5 inches.
Part A: Write an equation using x and y to find the height of a stack of bowls based on any number of bowls.


Part B: Describe what the x and y variable represent.


Part C: Use the equation from Part A to find the number of bowls if the height of the stacked bowls is 12.5 inches.
Mathematics
1 answer:
padilas [110]3 years ago
7 0

(Bowls, Height) (1, 2)  (5,5)

Slope is (5-2)/(5-1) = 3/4 inch
y = (3/4)x + b
(2) = (3/4)(1) + b
(2)-(3/4) = b

B=1.25.  Y= 0.75*x + 1.25. 

Part B
X is the number of bowls in the stack and Y is the corresponding height of the stack.

 

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No

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Pls answer, need to have it by Friday <br><br> Thank you
puteri [66]

Answer:

Step-by-step explanation:

I'm pretty sure you are only meant to draw a rectangle of 34 I'm not sure tho.

8 0
2 years ago
Suppose that two​ players, R and​ C, write down letters of the alphabet. If both write vowels or both write​ consonants, then th
vladimir2022 [97]

Answer:

-0.075

Step-by-step explanation:

[Player R, Player C] cases & outcomes :-

  • (Vowel, Vowel) = (0,0)
  • (Consonant, Consonant) = (0,0)
  • (Vowel, Consonant) = (6,-6)
  • (Consonant, Vowel) = (-5,5)
  • Prob (R chooses consonant) = 75% = 0.75
  • Prob (R chooses vowel) = 1 - 0.75 = 0.25
  • Prob (C chooses vowel) = 30% = 0.30
  • Prob (C chooses consonant) = 1 - 0.30 = 0.70

Average Loss of R = Expected value of : he choses consonant & C choses vowel; he chooses vowel & C choses consonant

= (0.75)(0.30)(-5) + (0.25)(0.70)(6)

-1.125 + 1.05

= -0.075

5 0
3 years ago
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8
svetlana [45]

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{2.4}{\sqrt{955}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

8 0
2 years ago
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