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Komok [63]
3 years ago
12

Please I need help is the answer is C

Mathematics
1 answer:
NemiM [27]3 years ago
8 0
It’s d because 2x4x8 = 64
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The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
4vir4ik [10]

Answer:

(a) The confidence interval is: 0.0304 ≤ π ≤ 0.0830.

(b) Upper confidence bound = 0.0787

Step-by-step explanation:

(a) The confidence interval for p (proportion) can be calculated as

p \pm z*\sigma_{p}

\sigma=\sqrt{\frac{\pi*(1-\pi)}{N} }\approx\sqrt{\frac{p(1-p)}{N} }

NOTE: π is the proportion ot the population, but it is unknown. It can be estimated as p.

p=17/300=0.0567\\\\\sigma=\sqrt{\frac{p(1-p)}{N} }=\sqrt{\frac{0.0567(1-0.0567)}{300} }=0.0134

For a 95% two-sided confidence interval, z=±1.96, so

\\LL = p-z*\sigma=0.0567 - (1.96)(0.0134) = 0.0304\\UL =p+z*\sigma= 0.0567 + (1.96)(0.0134) = 0.0830\\\\

The confidence interval is: 0.0304 ≤ π ≤ 0.0830.

(b) The confidence interval now has only an upper limit, so z is now 1.64.

UL =p+z*\sigma= 0.0567 + (1.64)(0.0134) = 0.0787

The confidence interval is: -∞ ≤ π ≤ 0.0787.

5 0
2 years ago
Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.
Svetllana [295]

Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).  

2x^{4} +x^{2}-10x-1 = P(x)   divided by   (x+2)

Step 1: Find a

To find a we will have to convert (x+2) into (x - a) form

i.e.  (x+2) = (x - (-2))

therefore, a = -2

Step 2: Substitute value of a in P(x),

By substitution we get,

2(-2)^{4}+(-2)^{2}-10(-2)-1

= 2(16) + 4 +20 -1

= 32 +4 + 20 - 1

= 55 = Remainder

Hence, Remainder is 55.

8 0
2 years ago
SOMEONE PLS TELL ME IF IM RIGHT ILL MARK BRAINLIEST
Vlad1618 [11]

Answer:

u r correct

look at the picture I sent

5 0
3 years ago
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2 . .- no I M m ' ‘ n pm ‘ 3 v I \ v my . ’ v 3,-- . ‘ C . 9 was - v ., .. ‘ 1
Alina [70]
30 is the answer of this equation

5 0
3 years ago
Math help please I promise to give brainliest
AlekseyPX

Answer:

y = 0.5

x = 4 - y (0.5)

3.5 = 4 - 0.5

------------

3x - 10 = y

3(3.5) - 10 = y

10.5 - 10 = y

0.5 = y

5 0
2 years ago
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