A boy scout has 0.7 meter of rope. He uses 2 tenths of rope to tie a knot at one end. How many meters of rope are in the knot.

3.3 multiply 2.5+ 5.7 multiply 2.5<br> solve it please

Amiraneli [1.4K]

Answer:

22.50

Step-by-step explanation:

3.3*2.5+5.7*2.5=

8.25. +. 14.25=22.50

plz mark me Brainliest

7 0

3 years ago

The length of a human pregnancy is normally distributed with a mean of 270 days with a standard deviation of 8 days. How many da

solniwko [45]

Answer:

261.71

Step-by-step explanation:

The calculation of days is shown below:-

$X = \mu + Z\sigma$

where,

Mean = 270

standard deviation is 8

And, the normsinv is -1.036

Now placing these values to the above formula

So, the number of days is

= 270 + (-1.036433389) × 8

= 270 + (-8.29146711)

= 261.708533

or

= 261.71

Therefore for computing the number of days we simply applied the above formula and for (-1.036433389) please find in the attachment.

6 0

2 years ago

Zarat Zim sells refrigerators. He earns 8% commission on sales. How much does he earn on sales of $3000 !!!!!!!!!!!!!!!!BIG POIN

slava [35]

He makes 240. All you do is make the 8% to a decimal (.8) and them multiply it by 3000. (3000*.08) It should be 240.

3 0

3 years ago

Read 2 more answers

A Norman window has the shape of a rectangle surmounted by a semicircle. Suppose the outer perimeter of such a window must

Feliz [49]

The base length that will maximize the area for such a window is 168.03 cm. The exact largest value of x when this occurs is 233.39 cm

Suppose we make an assumption that:

(x) should be the width of the rectangle base;
(h) should be the height of the rectangle

Also, provided that the diameter of the semi-circle appears to be the base of the rectangle, then;

the radius $\mathbf{r = \dfrac{x}{2}}$

and, the perimeter of the window can now be expressed as:

$\mathbf{x + 2h + \pi r = x + 2h + \dfrac{\pi x }{2}}$

$\mathbf{= \Big ( 1 + \dfrac{\pi}{2}\Big) x + 2h}$

Given that the perimeter = 600 cm

∴

$\mathbf{ \Big ( 1 + \dfrac{\pi}{2}\Big) x + 2h= 600}$

$\mathbf{ h = 300 - \Big( \dfrac{1}{2} + \dfrac{\pi}{4}\Big) x}$

Since h > 0, then:

$\mathbf{ h = 300 - \Big( \dfrac{1}{2} + \dfrac{\pi}{4}\Big) x>0}$

By rearrangement and using the inverse rule:

$\mathbf{ x< \dfrac{ 300}{\Big( \dfrac{1}{2} + \dfrac{\pi}{4}\Big) } }$

$\mathbf{ x= \dfrac{ 1200}{\Big( 2 +\pi \Big) } }$

$\mathbf{ x= 233.39 \ cm }$

Thus, the largest length x = 233.39 cm

However, the area of the window is given as:

$\mathbf{A(x) = xh + \dfrac{1}{2} \pi r^2}$

$\mathbf{A = x \Big [ 300 - \Big ( \dfrac{1}{2}+\dfrac{1}{4} \Big) x \Big ] +\dfrac{1}{2}\pi \Big(\dfrac{x}{2} \Big )^2}$

$\mathbf{A (x) = 300x - \Big( \dfrac{1}{2} + \dfrac{\pi}{8}\Big) x^2 \ cm^2}$

Now, at maximum, when the area A = 0. Taking the differentiation, we have:

$\mathbf{\dfrac{d}{dx} 300x - \dfrac{d}{dx} \Big( \dfrac{1}{2} + \dfrac{\pi}{8}\Big) x^2 \ =0}$

$\mathbf{ 300 - 2x \Big( \dfrac{1}{2} + \dfrac{\pi}{8}\Big) \ =0}$

Making x the subject of the formula, we have:

$\mathbf{x = \dfrac{1200}{4 +\pi}}$

x = 168.03 cm

Taking the second derivative:

$\mathbf{\dfrac{d}{dx} \Big [300 -2x \Big( \dfrac{1}{2} + \dfrac{\pi}{8}\Big) \Big]}$

$\mathbf{= -2 \Big( \dfrac{1}{2}+\dfrac{\pi}{8}\Big )$

Therefore, we can conclude that the maximum area that exists for such a window is 168.03 cm

Learn more about derivative here:

brainly.com/question/9964510?referrer=searchResults

6 0

3 years ago

Can you please help me out?

larisa86 [58]

Answer:

- 3.5229

Step-by-step explanation:

Using the rules of logarithms

logx + logy = log(xy)

$log_{10}$ $10^{n}$ = n

Given

$log_{10}$ 3 ≈ 0.4771, then

$log_{10}$ 0.0003

= $log_{10}$ (3 × $10^{-4}$ )

= $log_{10}$ 3 + $log_{10}$ $10^{-4}$

≈ 0.4771 - 4

≈ - 3.5229 ( to 4 dec. places )

8 0

3 years ago