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3 years ago

Which equation describes the relationships

Mathematics

2 answers:

rosijanka [135]3 years ago

4 0

Answer:

Option A

Step-by-step explanation:

Sin(x) is the same value as cos(y) in the graph.

Phantasy [73]3 years ago

4 0

The answer is A just trust

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You measure 22 textbooks' weights, and find they have a mean weight of 64 ounces. Assume the population standard deviation is 5.

lara31 [8.8K]

Answer:

Step-by-step explanation:

We want to determine a 90% confidence interval for the true population mean textbook weight.

Number of sample, n = 22

Mean, u = 64 ounces

Standard deviation, s = 5.1 ounces

For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

64 ± 1.645 × 5.1/√22

= 64 ± 1.645 × 1.087

= 64 ± 1.788

The lower end of the confidence interval is 64 - 1.788 = 62.21 ounces

The upper end of the confidence interval is 64 + 1.788 = 65.79 ounces

Therefore, with 90% confidence interval, the true population mean textbook weight is between 62.21 ounces and 65.79 ounces

3 0

3 years ago

Brainliest if correct

natali 33 [55]

$\left(15^{1/5} \right)^5 = 15^{(5/5)} = 15^1 = 15$

6 0

2 years ago

80 90 10 75 90 95 99 find the mean and medain which measures of center best repersents the data

beks73 [17]

Answer:

Step-by-step explanation:

sum of all number/total numbers

80+90+10+75+98+95+99/7

4 0

3 years ago

What is a theoretical and Experimental Probability?

aniked [119]

Answer:

See below...

Step-by-step explanation:

Theoretical probability is the probability that something should happen based on the beginning conditions. Such as having a jar of 30 marbles with 5 being blue. The probability of pulling out a blue marble when selecting 1 marble is

5/30, or 1/6. Theoretically you should pull one blue marble out every 6 times you pull a marble out.

This isn't guaranteed to happen though, that's where experimental probability comes form.

Experimental probability is the number of desired outcomes achieved, divided by the total number of outcomes. This is based on what actually happened. Say you selected a marble, and put it back 10 times, recording the color each time and you got 2 blue marbles. Your experimental probability is

2/10, or 1/5, which doesn't match the theoretical probability. The more times this experiment is conducted, the closer your result will be to the theoretical probability

8 0

3 years ago

PLEASE HELP (30 POINTS) Solve the rational equation x/3 = x^2/x + 5 , and check for extraneous solutions.

anygoal [31]

Option C: $x=0$ and $x=\frac{5}{2}$ are the solutions.

Explanation:

The equation is $\frac{x}{3} =\frac{x^{2} }{x+5}$

We shall determine the value of x, by simplifying the equation.

$\begin{aligned} x(x+5) &=3 x^{2} \\ x^{2}+5 x &=3 x^{2} \\ 2 x^{2}-5 x &=0 \\ x(2 x-5) &=0 \end{aligned}$

Thus, $x=0$ and $x=\frac{5}{2}$ are the solutions.

Now, let us check whether the solutions are extraneous solutions.

Let us substitute $x=0$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}&\frac{0}{3}=\frac{0^{2}}{0+5}\\&0=\frac{0}{5}\\&0=0\end{aligned}$

Thus, both sides of the equation are equal.

Hence $x=0$ is a true solution.

Now, Let us substitute $x=\frac{5}{2}$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}\frac{\left(\frac{5}{2}\right)}{3} &=\frac{\left(\frac{5}{2}\right)^{2}}{\left(\frac{5}{2}\right)+5} \\\frac{5}{6} &=\frac{\left(\frac{25}{4}\right)}{\left(\frac{15}{2}\right)} \\\frac{5}{6} &=\frac{5}{6}\end{aligned}$

Thus, both sides of the equation are equal.

Hence, $x=\frac{5}{2}$ is a true solution.

Thus, solutions are not extraneous.

Hence, Option C is the correct answer.

8 0

3 years ago