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LenaWriter [7]
2 years ago
7

SUPER URGENT: Complete the general form of the equation of a sinusoidal function having an amplitude of 6, a period of 2pi/3, an

d a phase shift to the left 1 unit.
y =

Mathematics
1 answer:
mel-nik [20]2 years ago
4 0

Answer:

y = 6·sin(3·(x - 1)) + c

Step-by-step explanation:

The general form of an equation for a sinusoidal function is presented ad follows;

y = a·sin(b·(x - h) + c

Where;

a = The amplitude of the equation

T = The period = 2·π/b

h = The phase shift

c = The vertical shift

From the question, we have;

a = 6,

2·π/3 = 2·π/b

∴ b = 3

h = 1

We get;

y = 6·sin(3·(x - 1)) + c.

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Mrs.Stark spins the spinner below 10 times.Each time it lands on orange.what it the theoretical probability that it lands on ora
Sedbober [7]

Answer:

It should be 1/8.

Step-by-step explanation:

This is because there are 8 colors on the spinner.

6 0
3 years ago
To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p
Over [174]

Answer:

The minimum sample needed to provide a margin of error of 3 or less is 52.

Step-by-step explanation:

The confidence interval for population mean (<em>μ</em>) is:

\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

The margin of error is:

MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

<u>Given:</u>

MOE = 3

<em>σ </em>= 11

The critical value for 95% confidence interval is: z_{\alpha /2}=1.96

**Use the <em>z</em>-table for critical values.

Compute the sample size (<em>n</em>) as follows:

MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=1.96\times \frac{11}{\sqrt{n}}\\n=(\frac{1.96\times11}{3} )^{2}\\=51.65\\\approx52

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.

7 0
3 years ago
Here's the question of the day! How is everyone? Question of the day is ... 18 + 34 x 15 =
Svetradugi [14.3K]

Answer:

528

Step-by-step explanation:

PEMDAS:

In this math problem, you would multiply 34 and 15 before adding 18.

18+34*15=\\\\18+510=\\\\\boxed{528}

<em>Brainliest Appreciated. </em>

4 0
3 years ago
Read 2 more answers
What ratios are equivalent to 4:1
tatuchka [14]

Answer:

12:3

Step-by-step explanation:

3 0
2 years ago
Hello i really need help, please help me. thank you :(
vlabodo [156]

Answer:

12/13

Step-by-step explanation:

The cosine of an angle in a triangle can be calculated as a relation between the adjacent side and the hypothenuse. So, in this case the adjacent side of θ is 24 and the hypothenuse is  26.

Then:

cos(θ) = 24/26 = 12/13

6 0
3 years ago
Read 2 more answers
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