Find all solutions of the equation in the interval [0, 2pi).<br> (2sinx-sqrt2)(3cscx-2sqrt3) = 0

The perfect squares between 21 and 52

lesya692 [45]

The answer is 25 and 49

7 0

3 years ago

Plz help {graphing substitution} best answer = brainliest

Shkiper50 [21]

$2x - 2y = 14 \\ x = 2 + y \\ \\ 2(2 + y) - 2y = 14 \\ 4 + 2y - 2y = 14 \\ 4 = 14$
Since 4 does not equal 14, this answer is no solution.

6 0

4 years ago

State a,b, and the y-intercept then graph the function on a graphing calculator<br>

sergeinik [125]

Answer:

No x-intercepts

y-intercepts: (0,2)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I need help please :(

algol [13]

Answer:

Brainliest??!!!

Step-by-step explanation:

6 0

3 years ago

An automobile club reported that the average price of regular gasoline in a certain state was $2.61 per gallon. The following d

laila [671]

Answer:

$2.618-2.98\frac{0.078}{\sqrt{15}}=2.56$

$2.618+2.98\frac{0.078}{\sqrt{15}}=2.68$

So on this case the 99% confidence interval would be given by (2.56;2.68)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=2.618$

The sample deviation calculated $s=0.078$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=15-1=14$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,14)".And we see that $t_{\alpha/2}=2.98$

Now we have everything in order to replace into formula (1):

$2.618-2.98\frac{0.078}{\sqrt{15}}=2.56$

$2.618+2.98\frac{0.078}{\sqrt{15}}=2.68$

So on this case the 99% confidence interval would be given by (2.56;2.68)

5 0

4 years ago

Find all solutions of the equation in the interval [0, 2pi). (2sinx-sqrt2)(3cscx-2sqrt3) = 0