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2 years ago

What focal-length eyepiece is needed if your eye can resolve objects 0.10 mm apart at a distance of 25 cm?

Mathematics

1 answer:

Kay [80]2 years ago

7 0

M=d/f so, f=d/M f=25/.01. =2500cm

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Area of a circle

Nutka1998 [239]

Answer:

49 pie

Step-by-step explanation:

Area of a circle is pie(radius squared)

radius is half diameter

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2 years ago

One, no, or infinitely many solutions

rusak2 [61]

Answer:

Only one solution

Step-by-step explanation:

Given:

2c + 4 - 3c = -9 + c + 5

Find:

Number of solution

Computation:

2c + 4 - 3c = -9 + c + 5

-c + 4 = -4 + c

-2c = -8

c = 4

Only one solution

6 0

2 years ago

A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 3%

andre [41]

Answer: a) 683 b) 1067

Step-by-step explanation:

The confidence interval for population proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

a) Given : Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=\pm1.96$

Margin of error : $E=0.03$

Formula to calculate the sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683$

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

$n=0.25(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.03})^2=1067.11111111\approx1067$

Hence, the required sample size would be 1067 .

3 0

2 years ago

What is the square root of 81 and multiplied that by 2?

vovikov84 [41]

Answer: 18

Step-by-step explanation:

Square root of 81 is 9 because 9*9=81 then 9*2=18

4 0

3 years ago

What is the value of c? 14 = - 2c - 6 - 3c

Neporo4naja [7]

Answer:

c = -4

Step-by-step explanation:

Step 1: Write equation

14 = -2c - 6 - 3c

Step 2: Solve for c

Combine like terms: 14 = -5c - 6
Add 6 on both sides: 20 = -5c
Divide both sides by -5: c = -4

Step 3: Check

Plug in c to verify it's a solution.

14 = -2(-4) - 6 - 3(-4)

14 = 8 - 6 + 12

14 = 2 + 12

14 = 14

8 0

2 years ago

Read 2 more answers