4c < 28 Solve the inequality

Which number is irrational? А) (1.5)2 B) root of 41 C root of 49 D (15)2

Umnica [9.8K]

Answer:

B

Step-by-step explanation:

A. (1.5)2 = 3 which is rational.

B. Root of 41 cannot be expressed as a fraction of p/q, where p and q are integers and q not equal to 0.

C. Root of 49 = 7 which is rational.

D. 15(2) = 30 which is rational

5 0

2 years ago

If joe had had 5 apples, and Mary had 5, How much more did Joe have than Mary?

mel-nik [20]

Answer:

0

Step-by-step explanation:

Joe had 5 and Mary had 5.

The amount each person has is equal. They don't have more or less than each other. So it's 0.

4 0

3 years ago

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Duke Energy reported that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $1

Gnoma [55]

Answer:

Step-by-step explanation:

a. H0: μ ≤ 104 Ha: μ > 104

Assuming the data leads to the rejection of the null hypothesis, we would conclude that there is no sufficient statistical evidence to prove that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month.

b. The type error in this situation would be rejecting the null hypothesis when it is actually true. Rejecting the fact that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month when it was actually true.

c. Type II error in this case would be failing to reject the null when it is false. Failing to reject the fact that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month when it is actually not true.

The consequences for these errors might be disastrous including sueing of the accuser party etc.

8 0

2 years ago

Another i need help bad

azamat

Answer:

$- \frac{1}{6}$

Step-by-step explanation:

$- \frac{1}{2} + \frac{1}{3} = - \frac{1}{6}$

4 0

2 years ago

Consider the following function. f(x) = 16 − x2/3 Find f(−64) and f(64). f(−64) = f(64) = Find all values c in (−64, 64) such th

VARVARA [1.3K]

Answer:

This does not contradict Rolle's Theorem, since f '(0) = 0, and 0 is in the interval (−64, 64).

Step-by-step explanation:

The given function is

$f(x)=16-\frac{x^2}{3}$

To find $f(-64)$ , we substitute $x=-64$ into the function.

$f(-64)=16-\frac{(-64)^2}{3}$

$f(-64)=16-\frac{4096}{3}$

$f(-64)=-\frac{4048}{3}$

To find $f(64)$ , we substitute $x=64$ into the function.

$f(64)=16-\frac{(64)^2}{3}$

$f(64)=16-\frac{4096}{3}$

$f(64)=-\frac{4048}{3}$

To find $f'(c)$ , we must first find $f'(x)$ .

$f'(x)=-\frac{2x}{3}$

This implies that;

$f'(c)=-\frac{2c}{3}$

$f'(c)=0$

$\Rightarrow -\frac{2c}{3}=0$

$\Rightarrow -\frac{2c}{3}\times -\frac{3}{2}=0\times -\frac{3}{2}$

$c=0$

For this function to satisfy the Rolle's Theorem;

It must be continuous on $[-64,64]$ .

It must be differentiable on $(-64,64)$ .

and

$f(-64)=f(64)$ .

All the hypotheses are met, hence this does not contradict Rolle's Theorem, since f '(0) = 0, and 0 is in the interval (−64, 64) is the correct choice.

6 0

2 years ago

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