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Vera_Pavlovna [14]
2 years ago
14

1. (10 points) Let f(x) = −cos(x). Compute ˆφ = c0π0 + c1π1 where π0 = 1 and π1 = x.

Mathematics
1 answer:
Bad White [126]2 years ago
3 0
4.While not rounding the answer is 500°
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According to a Pew Research Center, in May 2011, 35% of all American adults had a smart phone (one which the user can use to rea
Veronika [31]

Answer:

p_v =P(z>1.82)=0.034  

Assuming a standard significance level of \alpha=0.05 the best conclusion for this case would be:

4. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).

Because p_v

If we select a significance level lower than 0.034 then the conclusion would change.

Step-by-step explanation:

Data given

n=300 represent the random sample taken

X=120 represent the people who have a smart phone

\hat p=\frac{120}{300}=0.4 estimated proportion of people who have a smart phone

p_o=0.35 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to test the claim that the true proportion of people who have a smart phone is higher than 0.35, the system of hypothesis are.:  

Null hypothesis:p\leq 0.35  

Alternative hypothesis:p > 0.35  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.4 -0.35}{\sqrt{\frac{0.35(1-0.35)}{300}}}=1.82  

Statistical decision  

Since is a right tailed test the p value would be:  

p_v =P(z>1.82)=0.034  

Assuming a standard significance level of \alpha=0.05 the best conclusion for this case would be:

4. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).

Because p_v

If we select a significance level lower than 0.034 then the conclusion would change.

4 0
3 years ago
Your bank account has a balance of −$12. You deposit $60. What is your new balance?
GarryVolchara [31]

Answer:

Your balance will be 48

Step-by-step explanation:

If you have -12 add 60 that will equal 48

5 0
3 years ago
The pointer of the vibration measuring instrument is observed to move between the 0.1 and0.3 marks on the vertical scale, when s
Norma-Jean [14]

Answer:

Step-by-step explanation:

Given points moves b/w 0.1 of 0.3 marks Hence amplitude is 0.2

Also , frequency (w) = 100 rad/s.

Natural frequency (wn) = √K/m

K = 20 N/mm x 1000mm/1m = 20000N/M

W = 1000mm/1m = 20,000N/M

FormulaX = FolK/1 - (w/wn)²

0.2 = b/20000/1 - (100/50)²

Given forcing frequency was doubled, W1 = 2 x 100=200rad/s

X1 =b/20,000/1 - (200/20)²

0.2/11 = 1 - (200/50)²/1 - (100/50)² = 0.2/11 = -15^5– 3

X1 = 0.04

8 0
3 years ago
Find the derivative of f(x) = negative 9 divided by x at x = -4. (6 points) 4 divided by 9 16 divided by 9 9 divided by 16 9 div
Len [333]

Answer:

9/16

Step-by-step explanation:

f(x)=-\frac{9}{x}

f(x)=-9x^{-1}

Derivative rule:

f(x)=x^{n} \\

\frac{df}{dx}=nx^{n-1}

Here, n=-1, so

\frac{df}{dx}=(-9)(-1)x^{-2} =\frac{9}{x^{2} }

Evaluating this at x=-4 gives 9/16

5 0
2 years ago
Read 2 more answers
Special right triangles, find x and y
egoroff_w [7]

Answer:

The answer to your question is x = 17.32; y = 8.67

Step-by-step explanation:

Process

1.- Use trigonometric functions to find x and y

   a) sin Ф = \frac{opposite side}{hypotenuse}

      Ф = 60°

      opposite side = 15

      hypotenuse = ?

     hypotenuse = \frac{opposite side}{sin \alpha }

     hypotenuse = \frac{15}{sin 60}

     hypotenuse = \frac{15}{0.87}

            hypotenuse = 17.32

     b) cosФ = \frac{y}{hypotenuse}

         y = hypotenuse x cos 60

         y = 17.32 x 0.5

                y = 8.67

5 0
3 years ago
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