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3 years ago

What is the probability that out of 65 lambs born on Wooly Farm, at least 32

Mathematics

1 answer:

hammer [34]3 years ago

4 0

It’s probably choice c

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What is the perimeter of an equilatal triangle with side length 4.6mm?

Diano4ka-milaya [45]

Hello!

An equilateral triangle has all three sides the same length

To find the perimeter you add the sides

4.6 + 4.6 + 4.6 = 13.8

The answer is 13.8mm

Hope this helps!

4 0

3 years ago

Para la ecuación 2x+5y-3=0, halla la coordenada que falta (-3,?)

butalik [34]

Answer:

$(-3, \frac{9}{5})$

Step-by-step explanation:

We have the equation $2x + 5y-3 = 0$ .

The ordered pairs of this equation have the form $(x_0, y_0)$

Where x is the independent variable and y is the dependent variabe.

That is, the points belonging to the line $2x + 5y-3 = 0$ have the form $(x_0, f (x_0))$

For $y = f(x)$ .

So, we need to find $f(x_0)$ for x_0 = -3.

Then we substitute x = -3 into the equation and clear the value of y.

$2(-3) + 5y -3 = 0$

$-6 + 5y = 3\\\\5y = 9\\\\y = \frac{9}{5}$ .

Then the ordered pair is:

$(-3, \frac{9}{5})$

6 0

3 years ago

WILL MARK BRAINLIEST if correct.

iragen [17]

Answer:

4 1/2

Step-by-step explanation:

3 0

3 years ago

Solve the equation 2 sec² x = 3 - tan x for the domain 0° ≤ x ≤ 360°

vodka [1.7K]

$2 \sec^2 x = 3- \tan x \\\\\implies 2(1 +\tan^2 x) = 3- \tan x \\\\\implies 2 + 2 \tan^2 x +\tan x -3 =0\\\\\implies 2 \tan^2 x + \tan x -1 =0\\\\\implies 2u^2 + u -1 =0~~~ ;[\text{set} \tan x = u]\\\\\implies u = \dfrac{-1\pm \sqrt{1-4\cdot 2 \cdot (-1)}}{2(2)}\\\\\implies u =\dfrac{-1 \pm\sqrt{9}}{4}\\\\\implies u = \dfrac{-1 \pm 3}{4}\\\\\implies u = \dfrac{2}{4}=\dfrac 12~~ \text{or} ~~u =\dfrac{-4}{4} =-1\\\\$

$\implies \tan x = \dfrac 12 ~~ \text{or} ~~ \tan x =-1~~~ ;[\text{Substitute back u =tan x}]\\\\\text{Now,}~ \\\\\tan x = -1,\\\\\implies x = n\pi - \dfrac{\pi}4\\\\\\\text{For interval,}~ [0,2\pi) \\\\x = \dfrac{3\pi}4, \dfrac{7\pi}4\\\\\text{In degrees,}~ x = 135^{\circ}, x =315^{\circ}\\\\\tan x = \dfrac 12\\\\\implies x = n\pi + \tan^{-1} \left(\dfrac 12 \right)\\\\\text{For interval} ~[0,2\pi),\\\\$

$x=\tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\text{in degrees,} ~~x=\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\\\\text{Combine all solutions:}\\\\x=\dfrac{3\pi}4, \dfrac{7\pi}4, \tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\$

$\text{In degrees,}~ x = 135^{\circ},~315^{\circ},~\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]$

4 0

2 years ago

Convert into an exponential expression

Sergio039 [100]

Answer:

Step-by-step explanation:

4 0

3 years ago