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stepladder [879]
2 years ago
12

What is the ratio of the wavelengths of these two notes? a. 5 to 4 b. 3 to 2 c. 6 to 5 d. 2 to 1

Mathematics
1 answer:
Phoenix [80]2 years ago
4 0

The ratio of the wavelengths of the two notes is 2:1 option fourth 2 to 1 is correct.

<h3>What is wavelength?</h3>

The wavelength is the distance between two successive troughs or crests. The highest point on the wave is the crest, while the lowest point is the trough.

We have two notes

Number of cycle for blue = 8

Number of cycle for red = 4

Ratio = 8:4 = 2:1

Or

2 to 1

Thus, the ratio of the wavelengths of the two notes is 2:1 option fourth 2 to 1 is correct.

Learn more about the wavelength here:

brainly.com/question/7143261

#SPJ1

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Does this table represent a proportional relationship?<br><br> A) Yes<br> B) No
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a

Step-by-step explanation:

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5 scholars ran a marthon each one ran 1\5 of a mile how far did the students run in all
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Answer:

  1 mile

Step-by-step explanation:

  5 × (1/5 mi) = 5/5 mi = 1 mi

The students ran 1 mile in all.

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2 years ago
Can someone help me with my math homework?
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See explanations

Step-by-step explanation:

6. The fraction can be written as;

\frac{x^2}{2y} /\frac{y^2}{4} \\\\\frac{x^2}{2y} *\frac{4}{y^2} \\\\

Divide 4 by 2

=\frac{2x^2}{y^3}

7.

The fraction can be written as;

\frac{b^2}{6} /\frac{b}{a}

introduce product sign as

\frac{b^2}{6} *\frac{a}{b} \\\\=b*a/6\\=\frac{ab}{6}

8.

The fraction can be written as;

\frac{x}{y} /\frac{yx}{2}

Introduce product sign

\frac{x}{y} *\frac{2}{yx} \\\\=\frac{2}{y^2}

9.

The fraction can be written as;

\frac{x}{y^2} /\frac{x}{y} \\\\\\=\frac{x}{y^2} *\frac{y}{x} \\\\\\=\frac{1}{y}

10.

The fraction is simplified to;

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Simplifying complex fractions:brainly.com/question/12214941

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6 0
2 years ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviat
nexus9112 [7]

Answer:

Two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.

Step-by-step explanation:

We are given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviation of 0.07 millimeters.

<em>Let X = diameters of bolts produced in a machine shop</em>

So, X ~ N(\mu=5.65,\sigma^{2} = 0.07^{2})

The z score probability distribution is given by;

         Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean

            \sigma = standard deviation

<u>Now, we have to find the two diameters that separate the top 4% and the bottom 4%.</u>

  • Firstly, Probability that the diameter separate the top 4% is given by;

        P(X > x) = 0.04

        P( \frac{X-\mu}{\sigma} > \frac{x-5.65}{0.07} ) = 0.04

        P(Z > \frac{x-5.65}{0.07} ) = 0.04

<em>So, the critical value of x in z table which separate the top 4% is given as 1.7507, which means;</em>

                 \frac{x-5.65}{0.07}  = 1.7507

              x-5.65 = 0.07 \times 1.7507

                         x = 5.65 + 0.122549 = 5.77

  • Secondly, Probability that the diameter separate the bottom 4% is given by;

        P(X < x) = 0.04

        P( \frac{X-\mu}{\sigma} < \frac{x-5.65}{0.07} ) = 0.04

        P(Z < \frac{x-5.65}{0.07} ) = 0.04

<em>So, the critical value of x in z table which separate the bottom 4% is given as -1.7507, which means;</em>

                 \frac{x-5.65}{0.07}  = -1.7507

              x-5.65 = 0.07 \times (-1.7507)

                         x = 5.65 - 0.122549 = 5.53

Therefore, the two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.

4 0
2 years ago
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