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ExtremeBDS [4]
3 years ago
7

Suppose that f is a sine function ... look at the picture

Mathematics
1 answer:
Triss [41]3 years ago
8 0

Answer:

f(3π/4) = -π

A = π

b = 2

Step-by-step explanation:

Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π

Given the general equation: f(x) = A sin(bx), its period is calculated as:

period = 2π/b

which is equal to π, then:

2π/b = π

b = 2

Replacing x = π/4 into the equation of the function, we get:

A sin(2(π/4)) = π

A sin(π/2) = π

A = π

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3 years ago
WILL GIVE BRAINLIEST<br>What is the value of x in the figure? 1042 (3x – 19)​
Anna11 [10]

Answer:

x = 41

Step-by-step explanation:

We know these angles will be equal to each other (they are across from each other, I honestly forget the term ) so we can set up an equation

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3 years ago
Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio
Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 500, \sigma = 80

Percentage of students who scored below 620:

This is the pvalue of Z when X = 620. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{620 - 500}{80}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

The percentage of students who scored below 620 is 93.32%.

3 0
3 years ago
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baherus [9]

Answer:

25.5 minutes

Step-by-step explanation:

3 0
3 years ago
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