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Anni [7]
2 years ago
12

How is 2.11 a rational number

Mathematics
2 answers:
agasfer [191]2 years ago
7 0

Step-by-step explanation:

It a rational number beacuse its not a whole number since its a decimal and its not a integer beacuse its not a whole number it can only be a interger if its a whole number but its a decimal. The rational number can be any number it can also be a fraction.

Olenka [21]2 years ago
4 0

The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational numbers.

Also, rational number as it can be expressed as p/q, where p & q are integers & q is not zero

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5) Consider the equation : y=7x+8
vekshin1

The correct students about the function are;

B: The function represented by the table has a greater rate of change.

C: The function y = 7x + 8 has the greatest  y-intercept.

<h3>How to Interpret the Function Table?</h3>

We are looking at the equation;

y = 7x + 8

The general equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Thus, the slope of the given equation is 7 while the y-intercept is 8.

From the table, the rate of change which is also  is simply the slope from the formula;

m = (y₂ - y₁)/(x₂ - x₁)

m = (32 - 16)/(4 - 2)

m = 8

Looking at the given options, only options that are correct are Options B and C.

Read more about Function Table at; brainly.com/question/9404442

#SPJ1

4 0
1 year ago
Kyle is pulled back on a swing so that the rope forms an angle of 30° with the vertical. The distance from the top of the swing
olga_2 [115]
This would be 12 - 12*cos(30) = 12 - 6\sqrt{3} =  1.608 ft off the ground. 
6 0
3 years ago
Does the quadratic have a maximum or minimum
STALIN [3.7K]

Answer:

B)max/ opens down

Step-by-step explanation:

Parabola equation:

The equation of a parabola has the following format:

y = ax^2 + bx + c

If a > 0, that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.

If a < 0, that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.

In this question:

y = -x^2 - 2x + 3

From the graph, we already see that it opens down and has a max, and analitically, since a = -1 < 0, this is confirmed. The correct answer is given by option b.

7 0
2 years ago
In a study of cereal leaf beetle damage to oats, researchers measured the number of beetle larvae per stem in small plots of oat
PSYCHO15rus [73]

Answer:

At 0.05 level of significance, there is no difference in the mean number of larvae per stem. This supports the scientist's claim.

(d) H0: MeanMalathion - MeanNoMalathion equals 0

H1: MeanMalathion - MeanNoMalathion not equals 0

Step-by-step explanation:

Test statistic (t) = (mean 1 - mean 2) ÷ sqrt[pooled variance (1/n1 + 1/n2)]

Let the difference between the two means be x and the pooled variance be y

n1 = 5, n2 = 12

t = x ÷ sqrt[y(1/5 + 1/12)] = x ÷ sqrt(0.283y) = x ÷ 0.532√y = 1.88x/√y

Assuming the ratio of x to √y is 0.5

t = 1.88×0.5 = 0.94

n1 + n2 = 5 + 12 = 17

degree of freedom = n1 + n2 - 2 = 17 - 2 = 15

significance level = 0.05 = 5%

critical value corresponding to 15 degrees of freedom and 5% confidence interval is 2.131

The test is a two-tailed test because the alternate hypothesis is expressed using not equal to.

The region of no rejection of the null hypothesis lies between -2.131 and 2.131

Conclusion

Fail to reject the null hypothesis because the test statistic 0.94 falls within the region bounded by the critical values.

The scientist's claim is right.

A null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

An alternate hypothesis is also a statement from a population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.

3 0
3 years ago
Which equation can be solved to find one of the missing side lengths in the triangle?
tester [92]

Answer:

cos(60) = 12

Step-by-step explanation:

I don't understand the question, but that is the only logical answer choice.

6 0
3 years ago
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