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katrin [286]
3 years ago
7

The amplitude of y = -3sinx is _____.

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

The amplitude is 3.

Step-by-step explanation:

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People tend to evaluate the quality of their lives relative to others around them (Frieswijk et al., 2004). In one study, resear
Alborosie

Answer:

Step-by-step explanation:

Hello!

Research.

n=9 frail elderly were interview and compared to a fictitious person who was worse off then the interviewee, a life-satisfaction score was determined for each person.

18, 23, 24, 22, 19, 27, 23, 26, 25

Assuming that the population average score is μ= 20, the researchers think that the elderly in the sample are more or less satisfied than others in the general population.

a. You have the information of one sample, assuming this sample has a normal distribution and each elderly interviewed is independent, then the t-test of choice is a one-sample t-test.

b. and c. If you say that the elderly are "more or less" satisfied than the others, this means that they are either as satisfied as to the general population or not satisfied as to the general population. Symbolically:

H₀: μ = 20

H₁: μ ≠ 20

This is a two-tailed test, meaning, you will have two critical regions.

d.  

α: 0.05

Left critical value: t_{n-1;/\alpha 2} = t_{8; 0.025}= -2.306

Right critical value: t_{n-1;1-\alpha /2} = t_{8;0.975} = 2.306

e.

t_{H_0}= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}

X[bar]= 23

S= 3

t_{H_0}= \frac{23-20}{\frac{3}{\sqrt{9} } }= 3

f.

Considering that the calculated t-value is greater than the right critical value, the decision is to reject the null hypothesis, so using a significance level of 5% you can conclude that the average life-satisfaction score of the elderly is different than 20.

I hope it helps!

7 0
3 years ago
A farmer sells 9.9 kilograms of pears and apples at the farmer's market. of this weight is
ivanzaharov [21]

The given question is incomplete. The complete question is:

A farmer sells 9.9 kg of pears and apples at the farmers market. 3/4 of this weight is pears,and the rest is apples.how many kilograms of apples did she sell at the farmers market.

Answer: The farmer sells 2.475 kg of apples.

Step-by-step explanation:

Given : Total weight of pears and apples = 9.9 Kg

\frac{3}{4} of the total weight is pears

Hence, weight of pears = \frac{3}{4}\times 9.9=7.425 Kg

Therefore weight of apples = Total weight - weight of pears = (9.9 -7.425) = 2.475 Kg  

5 0
3 years ago
If sea level = 0, write an integer that represents 25 feet below sea level.
Svetach [21]

Answer: -25

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
-4i+ 3i= i- 8+ 3i- 12
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

-4i+3i=i-8+3i-12

-i=4i-20

20=4i+i

20=5i

20/5=i

4=i

4 0
3 years ago
An article presents voltage measurements for a sample of 66 industrial networks in Estonia. Assume the rated voltage for these n
kramer

Answer:

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 232 V

Sample mean, \bar{x} = 231.5 V

Sample size, n = 66

Sample standard deviation, s = 2.19 V

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

H_{0}: \mu = 232\\H_A: \mu \neq 232

We use Two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} } Putting all the values, we have

t_{stat} = \displaystyle\frac{231.5- 232}{\frac{2.19}{\sqrt{66}} } = -1.8548

Now,

t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = \pm 1.9971

Since,              

|t_{stat}| > |t_{critical}|

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

4 0
3 years ago
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