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3 years ago

2sin^(-2490)+tan 1410

1 answer:

7 0

2sin²(-2490)+tan 1410=2sin²(-330-6*360)+tan (330+3*360)=
=2sin²(-330)+tan (330)=2 sin²(30-1*360)+tan (-30)=
=2sin²(30)-tan (30)=2(1/2)²-√3/3=1/2-√3/3)=(3-2√3)/6

Answer: 2 sin²(-2490)+tan (1410)=(3-2√3)/6 (≈-0.07735...)

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A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 209 times. The observed freque

ddd [48]

Answer:

Step-by-step explanation:

Given that the observed frequencies for the outcomes as follows:

To check this we can use chi square goodness of fit test.

$H_0: equally likely\\H_a: not equally likely$

(Two tailed test at 5% significance level)

Assuming equally likely expected observations are found out and then chi square is calculated as (0-E)^2/E

Df = 6-1 =5

Outcome Frequency Expected frequency (Obs-exp)^2/Exp

1 36 34.83333333 0.03907496

2 30 34.83333333 0.670653907

3 41 34.83333333 1.091706539

4 40 34.83333333 0.766347687

5 23 34.83333333 4.019936204

6 39 34.83333333 0.498405104

209 209 7.086124402

p value =0.214

Since p >alpha, we accept null hypothesis

It appears that the loaded die does not behave differently than a fair die at 5% level of significance

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3 years ago

In the figure below, which term best describes point X?

Advocard [28]

Answer:

OA. Centroid

Step-by-step explanation:

6 0

1 year ago

Read 2 more answers

A restaurant manager has the option of a 30-year loan of $417,000 at an annual interest rate of 3.85% or the same interest rate

victus00 [196]

a) The monthly payment for each loan is as follows:

30-year $1,954.93

15-year $3,053.25

b) The savings in interest by using the 15-year loan is <u>$154,189,20</u> ($286,774.20 - $132,585).

c) No. the monthly payment for the 15-year loan is <u>not twice</u> that of the 30-year loan as the loan term.

d) The interest savings for the 15-year loan are <u>more</u> than one-half of the interest paid on the 30-year loan.

<h3>How are the calculations for periodic payments done?</h3>

The calculations for the monthly payments, including interests can be carried out using an online finance calculator, as follows:

N (# of periods) = 360 months (12 x 30 years)

I/Y (Interest per year) = 3.85%

PV (Present Value) = $417000

FV (Future Value) = $0

<u>Results</u>:

PMT = $1,954.93

Sum of all periodic payments = $703,774.80 ($1,954.93 x 360)

Total Interest = $286,774.20 ($703,774.80 - $417,000)

N (# of periods) = 180 months (12 x 15 years)

I/Y (Interest per year) = 3.85%

PV (Present Value) = $417000

FV (Future Value) = $0

<u>Results</u>:

PMT = $3,053.25

Sum of all periodic payments = $549,585 ($3,053.25 x 180)

Total Interest = $132,585 ($549,585 - $417,000)

Learn more about periodic payments at brainly.com/question/13098072

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7 0

1 year ago

PLEASE HELP?:((((((((

harkovskaia [24]

Answer:

Step-by-step explanation:

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3 years ago

What value represents the number of ways in which the expected classes are free to vary in the chi-square goodness-of-fit test?

Ket [755]

In statistics, the number of degrees of freedom is the number of values in the final calculation of a statistic that are free to vary.

The number of independent ways by which a dynamic system can move, without violating any constraint imposed on it, is called number of degrees of freedom. In other words, the number of degrees of freedom can be defined as the minimum number of independent coordinates that can specify the position of the system completely.

<span>
The degree of freedom represents the number of ways in which the expected classes are free to vary in the chi-square goodness-of-fit test.</span>

8 0

3 years ago