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2 years ago

Scratchpad

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

5 0

Answer:

50 % probability that the hat is blue.

Step-by-step explanation:

3 blue and 3 black = 6 total tickets

3/6 chance of blue and 3/6 change of it being black

3/6 = 1/2 = 0.5 = 50%

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Answer this please its for math and its a test that could bring up my grade from a F

Annette [7]

Answer:

4.10

5. 16

6. B.

7. B.

8. A.

Step-by-step explanation:

I believe this would be it. Hoped this helped!

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2 years ago

The population of a town is increasing at a rate of 3.5% per year. In 2010, the town had a population of 24,500. Find the popula

FrozenT [24]

well, from 2010 to 2021 is 11 years later, so

$\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &24500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &11\\ \end{cases} \\\\\\ A=24500(1 + 0.035)^{11}\implies A=24500(1.035)^{11}\implies A\approx 35769$

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1 year ago

Multiply Conjugates Using the Product of Conjugates Pattern

siniylev [52]

Answer:

The product is the difference of squares is $(9c-2d)(9c+2d)=81{{c}^2}-4{{d}^2}$

Step-by-step explanation:

Explanation

The given expression is (9c-2d)(9c+2d).

We have to multiply the given expression.

Square the first term 9c. Square the last term 2d.

$\begin{aligned}&(9 c-2 d)(9 c+2 d)=(9 c)^{2}-(2 d)^{2} \\&(9 c-2 d)(9 c+2 d)=81 c^{2}-4 d^{2}\end{aligned}$

8 0

1 year ago

In circle O, and are diameters. The measure of arc DC is 55°.

finlep [7]

Answer:

Step-by-step explanation:

5 0

2 years ago

Help me... with explanation plz...

stich3 [128]

Answer:

$w=3$

Step-by-step explanation:

You can write a few equations for this situation.

This is a rectangle, and rectangles have right angles. That means that the given diagonal distance makes a right triangle with the length and width.

Solve for w using the pythagorean theorem:

$w^2+(w+2)^2=5.83^2\\w^2+w^2+4w+4=33.9889$

I'm pretty sure 33.9889 is actually 34, the reason it isn't is because 5.83 was rounded to only 2 decimal places, which doesn't accurately show represent what it's supposed to be. The problem also has you round to the nearest inch, so the answer wouldn't change. It just makes the calculations significantly easier.

$2w^2+4w+4=34\\2w^2+4w-30=0\\2(w^2+2w-15)=0\\2(w-3)(w+5)=0\\w=3,-5$

Distances can't be negative, so $w=3$ .

5 0

3 years ago