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3 years ago

1. In 2011, Molly and Jerry both went to

Mathematics

1 answer:

True [87]3 years ago

6 0

Answer:

2017

Step-by-step explanation:

Molly goes every 2 years

Jerry goes every 3 years

LCM(2,3) = 2 x 3 = 6

2011 + 6 = 2017

The answer is 2017

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A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95

Galina-37 [17]

Answer:

The minimum sample size required for the estimate is 345.

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:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

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

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

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.

The standard deviation is known to be 1.8.

This means that $\sigma = 1.8$

What is the minimum sample size required for the estimate?

This is n for which M = 0.19. So

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

$0.19 = 1.96\frac{1.8}{\sqrt{n}}$

$0.19\sqrt{n} = 1.96*1.8$

$\sqrt{n} = \frac{1.96*1.8}{0.19}$

$(\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2$

$n = 344.8$

Rounding up to the next integer:

The minimum sample size required for the estimate is 345.

8 0

3 years ago

Which input value produces the same output value for the

WITCHER [35]

Answer:

Step-by-step explanation:

3 0

3 years ago

Evan’s family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 m

Ray Of Light [21]

Answer: Evan's family drove 150 miles on the third day.

Explanation:
Because they had driven the same speed throughout the trip, dividing the miles driven by the hours would result in the miles that they drove per hour. 300/6 and 250/5 = 50. So, Evan's family drove 50 miles per hour. To solve for the hours driven on the third day, you need to multiply the hours driven by the miles that were driven per hour.

3 hrs. x mph (miles per hour) = miles driven on the third day

Hope this helps! Sorry, I don't have the time to reread my answer, but I'm positive that it'll make sense to you somewhat.

6 0

3 years ago

Read 2 more answers

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and

-BARSIC- [3]

b + p = 14 and 0.80 b + 2 p = 20.80 are the system of equations.

Step-by-step explanation:

Step 1 :

Let b be the number of bananas

Let p be the number of peaches

Given that the total of bananas and peaches that Emily bought = 14

Hence we have,

b + p = 14

Step 2 :

Cost of one banana = $0.80

Cost of one peach = $2

Cost of all the bananas and peaches Emily bought = $20.80

So sum of b bananas costing $0.80 and sum of p peaches costing $2 each is $20.80

Hence we have

0.80 b +2 p = 20.80

Solving for the above 2 equations we can get the value for b and p which will give the number of bananas and peaches bought

Step 3 :

Answer :

The system of equations that could be used to find the number of the bananas and the number of the peaches that Emily bought is given by

b + p = 14

0.80 b +2 p = 20.80

5 0

3 years ago

Please help, Thankyou

slega [8]

$\text {Mass of earth =} 5.97 \times 10^{24} \text { kg}$

$\text {Mass of Venus =} 4.87 \times 10^{24} \text { kg}$

$\text {Difference = }5.97 \times 10^{24} - 4.87 \times 10^{24}$

$\text {Difference = }(5.97 - 4.87) \times 10^{24}$

$\text {Difference = }1.1 \times 10^{24} \text { kg}$

--------------- In Pure Text Format --------------
Mass of the earth = 5.97 x 10^{24}
Mass of Venus = 4.87 x 10^{24}
Difference = (5.97 - 4.87) x 10^{24} = 1.1 x 10^{24} kg

4 0

3 years ago