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2 years ago

What was the experimental probability of choosing a blue marble from a bag?

Mathematics

1 answer:

atroni [7]2 years ago

5 0

Answer:

7/20

Step-by-step explanation:

There were 20 tries, and 7 of them(blue picks) were desired outcomes.

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Joanne paid $28,000 for her new car. In addition, she paid $1,400 in taxes. What was the tax rate Joanne paid on her new car

g100num [7]

Answer:

Step-by-step explanation:

1400/28000=0.05

5%*$28,000=$1400

4 0

3 years ago

I cant figure this one out, can anyone help?

11Alexandr11 [23.1K]

Hope this helps you;,:

8 0

4 years ago

Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +

slava [35]

$\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx$

Taking $x=7\tan\theta$ gives $\mathrm dx=7\sec^2\theta\,\mathrm d\theta$ , so that the integral becomes

$\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta$
$=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta$

When $\sec\theta>0$ , we have

$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta$
$=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta$

and from here we can substitute $u=\tan\theta$ to proceed from here.

Quick note: When we set $x=7\tan\theta$ , we are implicitly enforcing $-\dfrac\pi2$ just so that the substitution can be undone later via $\theta=\tan^{-1}\dfrac x7$ . But note that over this domain, we automatically guarantee that $\sec\theta>0$ , so the absolute value bars can be dropped immediately.

6 0

3 years ago

You deposit $7000 into a bank account that has 6% interest compounded SEMIANNUALLY. Determine the amount of money in the bank af

Vlada [557]

Answer:

$11917.03

Step-by-step explanation:

Use Compound Interest Formula:

A = 7,000 (1 + 0.06/2)^2(9)

Simplify:

A = 7,000(1.03)^18

Solve:

A = $11917.03

4 0

3 years ago

A store is having a sale in which all items are discounted 20%. Including tax , Jennifer paid $21 for a picture. if the sales ta

hammer [34]

Original price is $25. Hope this helps :D

5 0

3 years ago