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3 years ago

Write a cosine function for the graph?

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

8 0

Try this solution+explanation:
1. the common formula for this graph is y=A*cos(Bx), where A - the amplitude, B - the frequency of the given function.
2. The max. and min. vertical values are 4 and (-4), it means that the amplitude is 4 (A=-4*),
for the function y=cosx the period is 2π, it means for the given function the period is π/2, it is for its frequency 2π/(π/2)=B=4.
* if to see to the suggested graph, the max. of cos4x are in points π/4+πn, and the min. are in π*n/2, it means that it need to add '-' in the equation of the function.
3. answer: y=-4cos4x.

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Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard devia

lesya692 [45]

Answer: P(x > - 0.23) = 0.41

Step-by-step explanation:

Since we are assuming that the readings at freezing on a batch of thermometers are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the readings at freezing on a batch of thermometers.

µ = mean temperature reading

σ = standard deviation

From the information given,

µ = 0°C

σ = 1.00°C

the probability of obtaining a reading less than -0.23°C is expressed as

P(x > - 0.23)

For x = - 0.23

z = (- 0.23 - 0)/1 = - 0.23

Looking at the normal distribution table, the probability corresponding to the z score is 0.41

7 0

3 years ago

X=-7y+5<br> 5x=4y=-6<br> solve by substitution

lyudmila [28]

5x (-7)y=4
y=-4/35
5x=4
x=4/5
(x, y) = (4/5, 4/35)

4 0

3 years ago

The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past

galina1969 [7]

Complete Question

The complete question is shown on the uploaded image

Answer:

1 ) The correct option B

2) The correct option is C

3) The correct option is C

4) The correct option is C

Step-by-step explanation:

From the question we are told that

The proportion that own a cell phone is $p = 0.90$

The sample size is n = 15

Generally the appropriate distribution for X is mathematically represented as

$X \ is \ B( n , p )$

$X \ is \ B( 15 , 0.90 )$

Generally the number students that own a cell phone in a simple random sample of 15 students is mathematically represented as

$\mu = n * p$

$\mu = 15 * 0.90$

$\mu = 13.5$

Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as

$\sigma = \sqrt{ n * p * q }$