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3 years ago

A guitar string vibrates back and forth 88 times in 1 minute. what is its period in seconds?

Mathematics

1 answer:

Alchen [17]3 years ago

4 0

Answer:

1.5 times per second

(1 time per second if rounded to a whole number)

Step-by-step explanation:

1 minuet is equal to 60 seconds

Because you are given 88 vibrations in one minute, you will divide 88 by 60 seconds. You want your answer in seconds.

88/60 gives us 1.466666667 on a calculator

So the guitar gives a vibration of 1.466666667 per second

If we round this, we get 1.5 vibrations per second

Or, if we round 1.4666 to a whole number then it is 1 vibration per second

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(X^-3)^2(x^-2)^3 <br> PLS SIMPLIFY?!!!

sergiy2304 [10]

Answer:

$\frac{1}{x^1^2}$

Step-by-step explanation:

Use this rule to simplify the parenthesis:

(xᵃ)ᵇ = xᵃᵇ

(x⁻³)²(x⁻²)³

x⁻⁶ × x⁻⁶

Then use the product rule:

xᵃxᵇ = xᵃ⁺ᵇ

x⁻⁶ × x⁻⁶

x⁻¹²

Use the negative power rule to get rid of the negative exponent:

$\frac{1}{x^1^2}$

5 0

3 years ago

I want to take a survey of students at my university to find out what proportion like the new bus service on campus. I believe t

tatiyna

Answer:

You will need to sample at least 3108 students.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

In this problem, we have that:

$\pi = 0.75$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

How many students will I need to survey if I want to estimate, with 99% confidence, the true proportion to within 2%?

You need a sample size of at least n.

n is found when M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.575\sqrt{\frac{0.75*0.25}{n}}$

$0.02\sqrt{n} = 1.115$

$\sqrt{n} = \frac{1.115}{0.02}$

$\sqrt{n} = 55.75$

$\sqrt{n}^{2} = (55.75)^{2}$

$n = 3108$

You will need to sample at least 3108 students.

4 0

3 years ago

What is 0.08 plus 0.3

Softa [21]

0.08 plus 0.3 is 0.38 because the “0.08” is in the tenths place not the single digit place so “0.3” is really 0.30 and then u add the 0.08

7 0

4 years ago

Read 2 more answers

Solve x42=37 x 42 = 3 7 using two different strategies. Explain each strategy.

Dafna11 [192]

Given equation : $\frac{x}{42}=\frac{3}{7}$ .

Strategy 1: We can cross mutiply both sides remove fraction form.

On cross multiplication, we get

x * 7 = 3 * 42

7x = 126.

Dividing both sides by 7, we get

Strategy 2: We can find least common denominator(lcd) of both sides and multiplying both sides by that lcd to get rid denominators from both sides.

LCD of 42 and 7 is 42.

Therefore, multiplying both sides by 42, we get

$42\times \frac{x}{42}=42\times\frac{3}{7}$

x = 6 * 3

4 0

3 years ago

Estimate the area of a circle with a radius of 21 meters. Use 22/7 for pi. (1 point)

V125BC [204]

A= $\pi$ $r^{2}$

A=( $\frac{22}{7}$ )( $21^{2}$ )

A=( $\frac{22}{7}$ )(441)

A= $\frac{22}{7}$ )( $\frac{441}{1}$ )

A= $\frac{9702}{7}$

A=1386 square meters

The answer is B.

5 0

4 years ago