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ruslelena [56]
2 years ago
10

Amira has $80. Sasha has $40.

Mathematics
1 answer:
PIT_PIT [208]2 years ago
7 0
Given:
Amira = 80
Sasha = 40

Amira saves  40 per month
Sasha saves 50 per month

Let x be the number of months.
Amira = 80 +  40x
Sasha = 40 + 50x

Amira = Sasha
80 + 40x = 40 + 50x
40x - 50x = 40 - 80
-10x = -40
x = -40/-10
x = 4

Amira = 80 + 40x = 80 + 40(4) = 80 + 160 = 240
Sasha = 40 + 50x = 40 + 50(4) = 40 + 200 = 240

It would take them 4 months to have the same amount of savings.
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What is the probability of rolling a 6-sided die and getting a 4 number divisible by 3?
Illusion [34]

Answer: Hello mate!

In a fair die all the number have the same probability; 1/6

The probability of getting a 4 is the sides with the number 4 divided by the total amount of numbers in the dice, this is 1 divided by, the probability is 1/6

The probability o getting a number divisible by 3 is the number of numbers that are divisible by 3 divided by the total amount of numbers in the dice:

The numbers divisible by 3 are 3 and 6, and in the dice, there are 6 numbers in total, so the probability is 2/6 = 1/3

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2 years ago
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aliina [53]

Answer:

The researcher should use a sample size of at least 140 children to get a margin of error to be within 2%.

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 interval 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

M = z\sqrt{\frac{\pi(1-\pi)}{n}} is the margin of error.

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

We have that:

M = 0.02, \pi = 0.0147

So

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

0.02 = 1.96\sqrt{\frac{0.0147*(1-0.0147)}{n}}

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The researcher should use a sample size of at least 140 children to get a margin of error to be within 2%.

4 0
3 years ago
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snow_tiger [21]

Answer:

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3/10 ÷ 1/10 = d ÷ 1

\frac{3}{10} x \frac{10}{1} = \frac{d}{1}

30/10 = d

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6 0
3 years ago
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