Rewrite x2−25 in factored form.

7. Use the Division Property of Equality to complete the following statement. (1 point)

djyliett [7]

For this case we have the following equation:

$5x = 2y$

To find the value of "x", we use the division equality property, that is, we divide by 5 on both sides of the equation:

$\frac {5x} {5} = \frac {2y} {5}\\x = \frac {2} {5} y$

Thus, using the mentioned property we have to: $x = \frac {2} {5}y$

Answer:

$x = \frac {2} {5} y$

8 0

3 years ago

A statement and a proposed negation are given below. Statement: The product of any irrational number and any rational number is

lesya692 [45]

Answer:

The proposed negation is not correct. A possible corect negation woulld be: There is an irrational number and, a rational number whose product is rational.

Step-by-step explanation:

From the given information above:

STATEMENT: "The product of ANY irrational number and ANY rational number is irrational".

From the above statement, the word "ANY" is very vital. Let assume we choose an element x from a particular set X of irrational numbers, as well as an element y from the set Y of a rational number, therefore, the statement has a use case and applies to every x and y element. Thus, in an effective mathematical way, the statement typically implies "for all x in set X and for all y in set Y, the product x*y is irrational.

However; from the negation of the "for all" statement is "there exists" (any text in discrete arithmetic will assist you to become fully aware of this fact). Any ramifications in the statement is likewise negated, i.e; if the statement infers that the resulted product of x and y is irrational, at that point the negation(invalidation) infers that the item isn't irrational. For example, it is rational. At the point when we set up every one of these facts, we get:

"There exist an element x in the set X, in addition to that; there exists an element y in set Y; x*y is rational".

If we express that into the option given; the right option is:

"There exist an irrational number and a rational number whose product is rational"

4 0

3 years ago

A study was conducted to determine whether the mean braking distance of four-cylinder cars is greater than the mean braking dist

ankoles [38]

Answer:

a) t-test for two independent samples

b) For this case we have two different samples and both are less than 30 and we don't have any info about the populationd deviation's. So for this case the most appropiate test is the t-tes for two independent samples

Step-by-step explanation:

The independent t-test, is known as two sample t-test or independent-samples t-test, is an statistical test used to " determines whether there is a statistically significant difference between the means in two unrelated groups"

The system of hypothesis could be on this case like this:

Null hypothesis: $\mu_1 = \mu_2$

Alternative hypothesis: $\mu_1 \neq \mu_2$

Or equivalently:

Null hypothesis: $\mu_1 - \mu_2 = 0$

Alternative hypothesis: $\mu_1 -\mu_2 \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{(\bar X_1 -\bar X_2)-(0)}{\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}}$

And this statistic follows a t distribution with degrees of freedom $df=n_1 +n_2 -2$

We can check the hypothesis using the p value method or the critical approach, but we need to have a significance level.

Part a

i) t-test for two independent samples

Part b

Explain the rationale for your selection in (a). Specifically, why would this be the appropriate statistical approach?

For this case we have two different samples and both are less than 30 and we don't have any info about the populationd deviation's. So for this case the most appropiate test is the t-test for two independent samples

6 0

3 years ago

Tim’s bank requires its customers to have a 4-digit personal identification number (PIN) to access their accounts. If each digit

Rina8888 [55]

6,561 is your answer to this question

8 0

3 years ago

Read 2 more answers

Solve the equation log^7b>2

ahrayia [7]

Answer:

b > 12.71