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Vadim26
20 days ago
6

Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days she had nine more than five times

as many fruit flies as when she began the study. If she observes 20 fruit flies on the first day of the study, write and evaluate an expression to find the population of fruit flies Lavania observed after 6 days
Mathematics
1 answer:
babunello [8.4K]20 days ago
5 0

Answer:

Lavania recorded 39 fruit flies after 6 days of study.

Step-by-step explanation:

Let x denote the initial number of fruit flies on the first day of Lavania's research.

After a span of 6 days, she found there were nine more than five times the initial count of fruit flies.

Five times the initial count = 5x

Nine added to five times the initial count = 5x + 9

The equation representing the fruit fly population observed by Lavania after 6 days is 5x + 9.

If her initial observation revealed 20 fruit flies, then x equals 6, therefore:

5x+9=5\cdot 6+9=30+9=39

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Answer:

The solution to this problem indicates that Hernry invested $18,000 in stocks and $6,000 in bonds.

Step-by-step explanation:

First, you need to multiply 6 by 3. The outcome is 18, meaning it is three times higher than the bond amount. Next, subtract $24,000 from $18,000, which gives you $6,000, representing the bond investment. Hence, it is three times less than the stocks as the question describes.

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8 days ago
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The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its s
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The formula representing this scenario is 5x+6(0.95)=11.95

The answer to this formula is x=1.25

Initially, you need to formulate the equation.

5x+6(0.95)=11.95

Next, simplify the expressions.

5x+5.7=11.95

Afterwards, subtract 5.7 from both sides.

5x=6.25

Lastly, divide both sides by 5

x=1.25

6 0
1 month ago
Carla can choose two of her three pairs of sneakers to take to a track meet. If the pairs of sneakers are called A, B, and C, wh
lawyer [9240]
The formula for determining the number of ways to select two pairs of sneakers from three pairs labeled A, B, and C is represented by 3C2 (3 combinations of 2), which calculates as 3! / (2!(3 - 2)!) = 3! / (2! x 1!) = (3 x 2) / (2 x 1) = 3. Therefore, the sample space is S = {AB, AC, BC}.
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1 day ago
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A politician wants to estimate the proportion of constituents favoring a controversial piece of proposed legislation. suppose th
babunello [8412]

Answer:

We have the following details:

Confidence level = 99%. Hence, the critical value at a 0.01 significance level is provided below:

z_{\frac{0.01}{2}}=2.576

The margin of error is mentioned in the question as:

E=0.05

Since we lack information about the previous proportion, we need to assume \hat{p} = 0.5.

Therefore, the required sample size is:

n=\hat{p}(1-\hat{p}) \left( \frac{z_{\frac{0.01}{2}} }{E} \right)

  =0.5(1-0.5) \left( \frac{2.576}{0.05} \right)

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Thus, it requires 664 sample observations.    

4 0
21 day ago
If 6 components are drawn at random from the container, the probability that at least 4 are not defective is . If 8 components a
Svet_ta [9500]
The question is missing some information. It should be phrased as follows:

<span><span>A container has 50 electronic components, with 10 identified as defective. If 6 components are randomly selected from the container, what is the probability that at least 4 of them are not defective? Additionally, if 8 components are drawn at random from the container, what is the probability that exactly 3 are defective?

</span>Answers
<span>Part 1.  0.02
Part 2. </span></span>0.0375<span><span>

</span>Explanation
Probability denotes the likelihood of an event occurring. It is computed as:
probability = (Number of favorable outcomes)/(Number of total outcomes)

Part 1
When 6 components are chosen, if 4 are confirmed functioning, then 2 must be defective.
P(at least 4 functional) = 4/40</span>× 2/10
                                            = 1/10 × 1/5
                                            = 1/50
                                            = 0.02

Part 2
Choosing 8 components, if 3 are defective, then 5 are functioning.
P(3 defective) = 3/40 × 5/10
                             = 15/400
                             = 3/80
                            = 0.0375
4 0
4 days ago
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