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MaRussiya [10]
3 years ago
13

What's 4x² - 9y² factorised?

Mathematics
1 answer:
algol [13]3 years ago
4 0
It can't be factorized it has no common factors no factor of 4 will go easily into 9
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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
3 years ago
Sara Blake's grandmother gave her $3000.00 to save for college. She put it in a savings account that earns 6% interest per year.
zubka84 [21]
I assume you are looking for the total. The total amount in the account will be $4,781.54 if the interest is compounded annually.

If she is earning 6% interest, the balance in her account will be multiplied by 1.06 each year.

You can evaluate the following expression to find the total.
3000(1.06)^8 = 4781.54
6 0
3 years ago
Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.1
NeTakaya

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

7 0
3 years ago
How to use the break apart strategy to find 247+ 358 in words
r-ruslan [8.4K]
247 is equal to 200+40+7.

358 is equal to 300+50+8.

To find the answer, add 200+300=500.
40+50=90
7+8=15

500+90+15=605

The answer is 605.
5 0
3 years ago
Read 2 more answers
This is one correct way to subtract 3.98 from 11.35. What is another correct way?
krok68 [10]
In decimal form=-7.37
In fraction form plzz refer to the attachment
8 0
3 years ago
Read 2 more answers
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