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3 years ago

What requirements must be met by a mathematical system in order to be a field?

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

5 0

Answer:

Step-by-step explanation:

n mathematics, a set having an addition that must be commutative, and associative, and a multiplication that must be associative

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fenix001 [56]

Sandi did not follow PEMDAS. She added before multiplying and dividing. Her answer should be 18 because 6 • 4 = 24, 2 / 2 = 1, 24 + 1 = 25, 25 - 7 = 18

3 0

3 years ago

Write the equation of each line using the given information.

MrRissso [65]

Answer:

See explanation.

Step-by-step explanation:

We need a point and a slope to have a point slope equation.

$y-y_{1}=m(x-x_{1})$

We need a slope and y-intercept to write in slope intercept form.

$y=mx+b$

A) $y-1=\frac{1}{2}(x+4)$ or $y=\frac{1}{2}x+3$

B) $y+1=-1(x-2)$

C) $y-1=0(x-1)$

D) $y=-3x+8$

4 0

3 years ago

At a rental car company, a customers daily rental charge D (in dollars) for m miles driven is determined by the function D = 35

lianna [129]

Answer:

See below

Step-by-step explanation:

Given function:

D = 35 + 0.4m

m represents the domain and D represents the range of the function, therefore m = x, D = y

Filling in the table:

for x = 10, y = 35 + 0.4*10 = 35 + 4 = 39 and so on for the rest of the values

x = 10, 30, 50, 75, 100
y = 39, 47, 55, 65, 75

3 0

2 years ago

Which of the following describes the following graph?

pychu [463]

Answer:

The correct answer option is B. both a function and a relation.

Step-by-step explanation:

We are given a from from which we can see that for each input we have exactly one output.

This means that we have a function because each element in the domain is matched with exactly one element in the range.

It is also a relation since each input related to the out put in some way.

Therefore, the correct answer option is B. both a function and a relation,

8 0

3 years ago

Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea

asambeis [7]

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

Let $\mu$ = average ounces of ice cream consumed by American per month

So, Null Hypothesis, $H_0$ : $\mu \leq$ 17 ounces {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, $H_A$ : $\mu$ > 17 ounces {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average = 19 ounces

s = sample standard deviation = 5 ounces

n = sample of Americans = 25

So, test statistics = $\frac{19-17}{\frac{5}{\sqrt{25} } }$ ~ $t_2_4$

= 2

The value of the test statistics is 2.

Now at 0.025 significance level, the t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

8 0

3 years ago