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3 years ago

HELP the largest 6-digit number formed by using both 1 and 0 equal number of times is

Mathematics

1 answer:

Natasha2012 [34]3 years ago

7 0

Answer:

111000 the ones have a greater value and then we can add the zeros

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Without using the formula, work out the gradient of the graph shown.

Harman [31]

Answer:

1/3

Step-by-step explanation:

3 0

1 year ago

What is the surface area of a cone that has a radius of 8 feet and a slant height of 12 feet? (Use 3.14 for π.)

kodGreya [7K]

Answer:

Surface area of cone is $502.4\ ft^2$

Step-by-step explanation:

Given:

radius of a cone (r) = 8 feet

slant height of cone (l) = 12 feet

We need to find the surface area of cone.

Total surface area of cone = Area of circle $+$ Area of curved surface

Now we know that,

Area of circle = $\pi r^2$

Area of curved surface = $\pi rl$

Hence Total surface area of cone = $\pi r^2+\pi rl=\pi r(r+l) = 3.14 \times 8 (8+12)=3.14\times8\times20= 502.4 \ ft^2$

Surface area of cone is $502.4\ ft^2$ .

4 0

3 years ago

Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 20. Find the prob

Ipatiy [6.2K]

Answer:

Randomly selected adult has an IQ less than 136 is 0.9641

Step-by-step explanation:

It is given that, it is normal distribution with mean 100 and SD as 20.

So, let's use the formula of z-score

z= $\frac{x-mean}{SD}$

For this problem,

x= 136

Plug in this value into the formula

z-score= $\frac{136-100}{20}$

=1.8

Now, use z-score table to find the probability

Find the corresponding value for the row 1.8 and the column 0.00, we do get 0.9641

So, Randomly selected adult has an IQ less than 136 is 0.9641

3 0

3 years ago

Elaine mellon earns $17.80 an hour as an electronic billing specialist for a legal clinic. she must work ____ hours a week, to e

just olya [345]

$17.80 in 1 hr

$1 in 1/17.80 hr

$675.00 in 675.00/17.80 hr

37.9 hours

Which is 38 hours after rounding it.

6 0

3 years ago

Read 2 more answers

If <img src="https://tex.z-dn.net/?f=%5Crm%20%5C%3A%20x%20%3D%20log_%7Ba%7D%28bc%29" id="TexFormula1" title="\rm \: x = log_{a}(

timama [110]

Use the change-of-basis identity,

$\log_x(y) = \dfrac{\ln(y)}{\ln(x)}$

to write

$xyz = \log_a(bc) \log_b(ac) \log_c(ab) = \dfrac{\ln(bc) \ln(ac) \ln(ab)}{\ln(a) \ln(b) \ln(c)}$

Use the product-to-sum identity,

$\log_x(yz) = \log_x(y) + \log_x(z)$

to write

$xyz = \dfrac{(\ln(b) + \ln(c)) (\ln(a) + \ln(c)) (\ln(a) + \ln(b))}{\ln(a) \ln(b) \ln(c)}$

Redistribute the factors on the left side as

$xyz = \dfrac{\ln(b) + \ln(c)}{\ln(b)} \times \dfrac{\ln(a) + \ln(c)}{\ln(c)} \times \dfrac{\ln(a) + \ln(b)}{\ln(a)}$

and simplify to

$xyz = \left(1 + \dfrac{\ln(c)}{\ln(b)}\right) \left(1 + \dfrac{\ln(a)}{\ln(c)}\right) \left(1 + \dfrac{\ln(b)}{\ln(a)}\right)$

Now expand the right side:

$xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} \\\\ ~~~~~~~~~~~~+ \dfrac{\ln(c)\ln(a)}{\ln(b)\ln(c)} + \dfrac{\ln(c)\ln(b)}{\ln(b)\ln(a)} + \dfrac{\ln(a)\ln(b)}{\ln(c)\ln(a)} \\\\ ~~~~~~~~~~~~ + \dfrac{\ln(c)\ln(a)\ln(b)}{\ln(b)\ln(c)\ln(a)}$

Simplify and rewrite using the logarithm properties mentioned earlier.

$xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} + \dfrac{\ln(a)}{\ln(b)} + \dfrac{\ln(c)}{\ln(a)} + \dfrac{\ln(b)}{\ln(c)} + 1$

$xyz = 2 + \dfrac{\ln(c)+\ln(a)}{\ln(b)} + \dfrac{\ln(a)+\ln(b)}{\ln(c)} + \dfrac{\ln(b)+\ln(c)}{\ln(a)}$

$xyz = 2 + \dfrac{\ln(ac)}{\ln(b)} + \dfrac{\ln(ab)}{\ln(c)} + \dfrac{\ln(bc)}{\ln(a)}$

$xyz = 2 + \log_b(ac) + \log_c(ab) + \log_a(bc)$

$\implies \boxed{xyz = x + y + z + 2}$

(C)

6 0

2 years ago

HELP the largest 6-digit number formed by using both 1 and 0 equal number of times is ​

HELP the largest 6-digit number formed by using both 1 and 0 equal number of times is