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Juliette [100K]
3 years ago
7

At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram.

Mathematics
2 answers:
Annette [7]3 years ago
7 0

Answer:

Where is the diagram??

ExtremeBDS [4]3 years ago
3 0

Answer:

15 oatmeal cookies.

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<em><u>2x – 1 = 17</u></em>

Explanation:

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Four times a number x is at least 16
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4

Step-by-step explanation:

4x=16

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The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter
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Answer:

He must survey 123 adults.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

Assume that a recent survey suggests that about 87​% of adults have heard of the brand.

This means that \pi = 0.87

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How many adults must he survey in order to be 90​% confident that his estimate is within five percentage points of the true population​ percentage?

This is n for which M = 0.05. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}

0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}

\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2

n = 122.4

Rounding up:

He must survey 123 adults.

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3 years ago
You need new shoes for work which cost $70. You earn $400 net income each week, but have expenses totaling $380 each week. If yo
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<u>4 weeks</u>

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Remaining money (per week) :

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Does it matter which two points you use to create a slope triangle?
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yes

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