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2 years ago

EASY POINTS!!

Mathematics

1 answer:

MrRissso [65]2 years ago

4 0

<h3>This curve passes the vertical line test, therefore it is a function.</h3>

<h3>The idea behind the vertical line test is that if you draw any vertical line, it has to intersect the curve only once. If there is more than 1 intersection, then it is not a function.</h3>

ps: This is a quadratic function of equation

$f(x) = - x {}^{2} + 4$

You might be interested in

Solve for n.<br><br> n−10=5−4n

Alisiya [41]

N = 3. Add 10 to both sides. Add 4n to both sides. Divide 4 from both sides.

8 0

3 years ago

Read 2 more answers

Please help!!! it would be much appreciated

AveGali [126]

Answer:

12/13, or answer choice B

Step-by-step explanation:

Ok first lets find the lengths of this triangle. We know 2 lengths already, 5 and 12. By using the pythagorean theorem, a^2+b^2=c^2, we can figure out that the third side is 13 units long.

Math:

5^2+12^2=169

25+144=169

And the square root of 169 is 13, meaning that the hypotenuse of the right triangle is 13.

To remember what SIN TAN and COS mean, you can use this helpful phrase: SOH CAH TOA

SOH: It means that SIN is OPPOSITE OVER HYPOTENUSE

CAH: it means that COS is ADJACENT OVER HYPOTENUSE

TOA: It means that TAN is OPPOSITE OVER ADJACENT

because it asks for SIN B, we need to do OPPOSITE OVER HYPOTENUSE.

Because the side opposite to angle B is 12 units, and the hypotenuse is 13 units, the answer is 12 over 13 units, or 12/13.

I hope my answer helped!

If this helped you, please vote brainliest. Thanks!

8 0

2 years ago

Read 2 more answers

Construct a 95% confidence interval for the population mean, mu. Assume the population has a normal distribution. A random sam

aniked [119]

Given Information:

Number of lithium batteries = n = 16

Mean life of lithium batteries = μ = 645 hours

Standard deviation of lithium batteries = σ = 31 hours

Confidence level = 95%

Required Information:

Confidence Interval = ?

Answer:

$CI = 628.5 \: to \: 661.5 \: hours$

Step-by-step explanation:

The confidence interval is given by

$CI = \mu \pm t_{\alpha/2} (\frac{\sigma}{\sqrt{n}})$

Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of

tα/2 = (1 - 0.95) = 0.05/2 = 0.025

and the degree of freedom is

DoF = n - 1 = 16 - 1 = 15

The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)

$CI = 645 \pm 2.131(\frac{31}{\sqrt{16}})$