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2 years ago

Factor 1/3 out of 1/3p-2/3

Mathematics

1 answer:

cestrela7 [59]2 years ago

3 0

Answer:

$\frac{1}{3}(p-2)$ , 1/3(p-2)

Step-by-step explanation:

$\frac{1}{3} p-\frac{2}{3}$

$\frac{1}{3}(p-2)$

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Find the Value of Y! Thank u!!!

Virty [35]

Answer:

my bad if im wrong but i got y=35

Step-by-step explanation:

4 0

3 years ago

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

Find all points having an x-coordinate of 2 whose distance from the point (-1,-2) is 5

mariarad [96]

$The\ equation\ of\ the\ circle:(x-a)^2+(y-b)^2=r^2\\\\where\ (a;\ b)\ -the\ coordinates\ of\ the\ center;\ r-the\ radius\\-----------------------------\\(-1;-2)-the\ center\ of\ the\ circle\\r=5\\\\The\ equation:(x+1)^2+(y+2)^2=5^5\\\\Put\ x=2\ to\ the\ equation:\\\\(2+1)^2+(y+2)^2=25\\3^2+(y+2)^2=25\\9+(y+2)^2=25\\(y+2)^2=25-9\\(y+2)^2=16\iff y+1=\pm\sqrt{16}\\\\y+1=-4\ or\ y+1=4\ \ \ \ \ |subtract\ 1\ from\ both \sides\\y=-5\ or\ y=3\\\\Answer:(2;-5)\ and\ (2;\ 3).$

5 0

3 years ago

What two numbers have a product of -40 and a sum of -3?

lord [1]

-8 and 5: -8 x 5 = -40; -8 + 5 = -3

5 0

2 years ago

Luke buys 4 bolts and 6 washers for $2.20 and Holly spends $1.80 on 3 bolts and 5 washers at the same local hardware store. Dete

blondinia [14]

Answer:

Cost of bolts = x = $0.3

Cost of washers = y = $0.167

Step-by-step explanation:

Let us represent:

Cost of bolts = x

Cost of washers = y

Luke buys 4 bolts and 6 washers for $2.20

Hence:

4x + 6y = 2.20....Equation 1

Holly spends $1.80 on 3 bolts and 5 washers at the same local hardware store.

3x + 5y = 1.80....Equation 2

Combining both Equations

4x + 6y = 2.20....Equation 1

3x + 5y = 1.80....Equation 2

Multiply Equation 1 by 3 and Equation 2 by 4 to eliminate x

12x + 18x = 6.6.....Equation 4

12x + 20x = 7.2.......Equation 5

Substract Equation 4 from 5

= 2x = 0.6

x = 0.6/2

x = $0.3

Solving for y

4x + 6y = 2.20....Equation 1

4 × 0.3 + 6y = 2.2

1.2 + 6y = 2.2

6y = 2.2 - 1.2

6y = 1.0

y = 1.0/6

y = $0.167

Cost of bolts = x = $0.3

Cost of washers = y = $0.167

8 0

2 years ago