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3 years ago

5

A drawer contains 3 white balls and 6 black balls. Two balls are drawn out of the box at random. What is the probability that th

ey both are white?

1 answer:

Rudik [331]3 years ago

6 0

You have a 2/9 chance of it being white. It is how many of that color or number over the total, so you have a 2/9 chance of it being white.

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A spider has 8 legs. An ant has 6 legs. There are a group of spiders and a group of ants. The groups have equal numbers of legs.

Lemur [1.5K]

There are three spiders and 4 ants in all

8 0

3 years ago

You made a deal with Ms.Williams to read 100 pages every night. You know that it takes you 32 minutes to read 16 pages. How long

AnnyKZ [126]

Put the problem into a proportion to make it easier to solve.

32 x
=
16 100

You can use cross products to simplify this proportion. Multiply 32 by 100, and set that number equal to 16 *x.

Your equation should now look like this
3200=16x

You are trying to get the variable alone on one side, so you should divide both sides by 16.

If this is performed correctly, then your final answer should be

x=200.

It will take you 200 minutes (3 hours 20 mins) to read the pages that you promised Ms. Williams

5 0

3 years ago

Please Help. I really don’t get this concept, if you could explain it in detail it would be very appreciated

Dafna11 [192]

<h3>Answer: 24/25</h3>

=================================================

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

--------------------------

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

---------------------------

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

6 0

4 years ago

Find all values of x (if any) where the tangent line to the graph of the given equation is horizontal. HINT [The tangent line is

Nostrana [21]

By "y = −9x2 − 2x" I assume you meant <span>y = −9x^2 − 2x (the "^" symbol represents exponentiation).

Let's find the first derivative of y with respect to x: dy/dx = -18x - 2. This is equivalent to the slope of the tangent line to the (parabolic) curve. Now let this derivative (slope) = 0 and solve for the critical value: -18x - 2 = 0, or
-18x = 2. Solving for x, x = -2/18, or x = -1/9.

When x = -1/9, y = -9(-1/9)^2 - 2(-1/9). This simplifies to y = -9/9 + 2/9, or
y = -7/9.

The only point at which the tangent to the curve is horiz. is (-1/9,-7/9).</span>

6 0

3 years ago

Whats the proper abbreviation for twenty-five micrograms

scoundrel [369]

Answer:

Hope this is what you are looking for! :)

7 0

3 years ago