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2 years ago

One scientific team determined that the average thickness of a chicken's egg shell is 0.3110.3110, point, 311 millimeters.

Mathematics

1 answer:

djyliett [7]2 years ago

7 0

Answer:

0.3 millimeters

Step-by-step explanation:

The place value of numbers after the decimal point is determined by its position.

The first number after the decimal point is the tenth digit
The second number after the decimal point is the hundredth digit
The third number after the decimal point is the thousandth digit

We can continue in like manner.

Given the number:

0.311 millimeters.

To round it to the nearest tenth

First, determine the tenth digit: The tenth digit is 3

Next, determine if the digit after it is up to 5. If it is 5 and above, we round up otherwise we do not.

Since the digit after 3(1) is not up to 5, we write our answer.

Therefore, the thickness of the shell to the nearest tenth is given below:

0.311 millimeters =0.3 millimeters (to the nearest tenth)

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Given f(x)=x−1−−−−√+2, what is the relationship between f(x) and f−1(x)? Drag and drop an inequality into each box to correctly

vekshin1

Answer:

The domain of f(x) is x>-2, so the range of f-1(x) is y>-2

The range of f(x) is y>-1, so the domain of the f-1(x) is x>-1

Step-by-step explanation:

8 0

2 years ago

A certain type of thread is manufactured with a mean tensile strength of 78.3 kilograms and a standard deviation of 5.6 kilogram

azamat

Answer:

(a) The variance decreases.

(b) The variance increases.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Then, the mean of the sample mean is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the sample mean is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

The standard deviation of sample mean is inversely proportional to the sample size, n.

So, if n increases then the standard deviation will decrease and vice-versa.

(a)

The sample size is increased from 64 to 196.

As mentioned above, if the sample size is increased then the standard deviation will decrease.

So, on increasing the value of n from 64 to 196, the standard deviation of the sample mean will decrease.

The standard deviation of the sample mean for n = 64 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{64}}=0.7$

The standard deviation of the sample mean for n = 196 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{196}}=0.4$

The standard deviation of the sample mean decreased from 0.7 to 0.4 when n is increased from 64 to 196.

Hence, the variance also decreases.

(b)

If the sample size is decreased then the standard deviation will increase.

So, on decreasing the value of n from 784 to 49, the standard deviation of the sample mean will increase.

The standard deviation of the sample mean for n = 784 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{784}}=0.2$

The standard deviation of the sample mean for n = 49 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{49}}=0.8$

The standard deviation of the sample mean increased from 0.2 to 0.8 when n is decreased from 784 to 49.

Hence, the variance also increases.

6 0

2 years ago

Canteen A, canteen B and Canteen C repeat their lunch means every 12 days, 8days and 10 days respectively. All three canteens se

Katyanochek1 [597]

Answer:

120 days

Step-by-step explanation:

Canteen A = 12 days

Canteen B = 8 days

Canteen C = 10 days

How many days later will all three canteen serving noodles soup again?

To find the number of days all 3 canteens will serve food again, find the lowest common multiples of all 3 canteens

Canteen A = 12 days

34, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144

Canteen B = 8 days

16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120

Canteen C = 10 days

20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130

The lowest common multiple of 12 days, 8 days and 10 days is 120 days

The next day all 3 canteens will serve soup together again is the next 120 days

3 0

2 years ago

One column of numbers consists of 61, 24, and 47. When the digits of the numbers are added together, the result is 6 + 1 + 2 + 4

ololo11 [35]

The question is incomplete because it must content a list of choices to select the right one.

Any way, a conclusion that you can make, and that is a common one for this kind of questions, is about whether the sum of the numbers of the second column may or not be the same sum of the numbers of the first column.

The condition for the two sums be the same is that when the digits of the second column are added together the result be the same obtained for the sum of the digits of the first column. In this case that is 6.

So, the possible answer is:

If the end result from the second column is not 6, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.

5 0

2 years ago

Read 2 more answers

The table shows the number of grapes eaten over several minutes. What is the rate of change for the function on the table? 15 gr

Mkey [24]

Answer:

1. 15 grapes eaten per minute.

Step-by-step explanation:

We have been given a table that shows the number of grapes eaten over several minutes. We are asked to find the rate of change of our given function.

Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.

$\text{Rate of change of a function}=\frac{\text{Vertical change}}{\text{Horizontal change}}$