A brush cost $2 more than a comb. The brush and come together cost $3.78. Find the cost of each

2 answers:

7 0

So:
brush = comb+2

Total: comb + (comb+2) = 3.78
2 * comb + 2 = 3.78 /-2
2 * comb = 1.78 /divide by 2
comb = 0.89

brush = 0.89 + 2 = 2.89

Ymorist [56]3 years ago

4 0

3,78-2=1.78
1.78/2=0.89
0.89+2=2.89
cepillo=2.89
peine=0.89

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Seventy-six percent of sunflower seeds will germinate into a flower, and a sample of 800 such sunflower seeds is randomly select

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Answer:

12.08

Step-by-step explanation:

For each sunflower, there are only two possible outcomes. Either it germinates, or it does not. The probability of a sunflower germinating is independent of other sunflowers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

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This means that $p = 0.76$

Samples of 800:

This means that $n = 800$

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The sum of the first 100 positive whole numbers is 5050. What is the sum of the first 100 positive odd whole number?

Rufina [12.5K]

The series of odd numbers is:

1, 3, 5, 7, 9, 11, 13, ....

If you observe this series, it is an Arithmetic Series with first term as 1 and common difference of 2. Common difference is defined as the difference between two consecutive terms of the series. So by using the formula of sum of an Arithmetic Series, we can find the sum of first 100 positive odd whole numbers.

The formula for the sum of an Arithmetic Series is:

$S_{n}=\frac{n}{2}(2a_{1}+(n-1)*d)$