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Greeley [361]
2 years ago
15

A sample of 14001400 computer chips revealed that 311% of the chips do not fail in the first 10001000 hours of their use. The co

mpany's promotional literature claimed that more than 28(% do not fail in the first 10001000 hours of their use. Is there sufficient evidence at the 0.050.05 level to support the company's claim
Mathematics
1 answer:
Archy [21]2 years ago
5 0

Answer:

There is sufficient evidence at 0.05 significant level to support company's claim.

Step-by-step explanation:

We have these informations from the question

n = 1400

P^ = 31% = 0.31

Alpha level = 5% = 0.05

Then we come up with the hypothesis

H0: P = 0.28

H1: P>0.28

From here we calculate the test statistic

z = p^ - p/√pq/n

P = 0.28

q = 1-0.28

= 0.72

z = 0.31-0.28/√(0.31*0.72)/1400

= 0.03/√0.0001594

= 0.03/0.012

= 2.5

Then we have a p value = 0.00621

The p value is less than significance level

0.00621<0.05

So the null hypothesis is rejected.

We conclude that There is sufficient evidence at 0.05 significant level to support company's claim.

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Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.
____ [38]

Let z=-\sqrt3+i. Then

|z|=\sqrt{(-\sqrt3)^2+1^2}=2

z lies in the second quadrant, so

\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6

So we have

z=2e^{i5\pi/6}

and the fourth roots of z are

2^{1/4}e^{i(5\pi/6+k\pi)/4}

where k\in\{0,1,2,3\}. In particular, they are

2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}

2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}

2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}

2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}

7 0
3 years ago
25 turned to a fraction
eimsori [14]
The answer to your question is 1/4
5 0
3 years ago
ANSWER PLEASE !!!!!!<br>​
Ilia_Sergeevich [38]

Answer:

B= 40 degress

Step-by-step explanation:

1x+ 5xc /3xc = 40

8 0
2 years ago
= 2. Given the quadratic equation 3x2 – 8x + k = 0 has no real roots. Find the range of values of k.
VashaNatasha [74]

\text{If there  are no real roots, then}\\\\~~~~~\text{Discriminant} < 0\\\\\implies b^2 -4ac < 0\\\\\implies (-8)^2 -4 \cdot 3 k < 0\\\\\implies 64-12k < 0\\\\\ \implies 12k > 64\\\\\implies k > \dfrac{64}{12}\\\\\implies k > \dfrac{16}3\\\\\text{Interval,}~ \left( \dfrac{16}3, ~\infty\right)

6 0
2 years ago
Jimmy cell phone plan has been a base charge of $50 per month with an additional charge of 65 cents per app downloaded. Lisa cel
Soloha48 [4]

Answer:

20

Step-by-step explanation:

We write what we know.

Jimmy

$50/mo   app 65¢ or .65

Lisa

$55/mo   app 40¢ or .40

a = number of apps

The difference will come from the number of apps, a.

We need them to equal each other so let's write an equation.

$50 + .65a = $55 + .40a

We need to solve for a.

$50 + .65a = $55 + .40a     subtract $50 for each side.

$50 - $50 + .65a = $55 - $50 + .40a

.65a = $55 - $50 + .40a

.65a = $5 + .40a     subtract .40a from each side

.65a - .40a = $5 + .40a - .40a

.65a - .40a = $5

.25a = $5   Divide each side by .25

.25a/.25 = $5/.25

a = $5/.25

a = 20

So Jimmy and Lisa need to download 20 apps for their bill to be the same.

7 0
3 years ago
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