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goldfiish [28.3K]

3 years ago

9

There are 24 students on the math team. If the probability of a new student being drawn at random is 1/3, then how many of the s

tudents are new members?

2 answers:

andreev551 [17]3 years ago

6 0

Answer:

24

Step-by-step explanation:

24/3 =8

8=1/3

Orlov [11]3 years ago

6 0

The answer is 24 hope it helps

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The volume of a cubed shaped music box is 512 cubic centimeters find the surface area of the music box

AfilCa [17]

The surface area of music box is 384 square centimeter

<em><u>Solution:</u></em>

Given that,

Volume of cubed shaped music box = 512 cubic centimeter

To find: Surface area of music box

<em><u>The volume of cube is given as:</u></em>

$volume = a^3$

Where, "a" is the length of side

Therefore,

$512 = a^3$

Taking cube root on both sides,

$a = \sqrt[3]{512}$

$a = \sqrt[3]{8 \times 8 \times 8}\\\\ a = \sqrt[3]{8^3}$

$a = (8^3)^{\frac{1}{3}}$

$a = 8$

Thus length of side of cube is 8 cm

<em><u>Find surface area of cubed shaped music box</u></em>

<em><u>The surface area of cube is given as:</u></em>

$A = 6a^2$

Substitute a = 8 in above formula

$A = 6(8)^2\\\\A = 6 \times 64\\\\A = 384$

Thus surface area of music box is 384 square centimeter

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3 years ago

Consider (2x – 1) + 2 > x + 1. Use the addition or subtraction

AfilCa [17]

Answer:

x>0

Step-by-step explanation:

subtract 1 from both sides
subtract x from both sides
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3 years ago

If y is proportional to the sqaure root of x and y equal x when x equal 5,evaluate y when x eqaul 9.

Law Incorporation [45]

Answer:

$y = 3\, \sqrt{5}$ when $x = 9$ .

Step-by-step explanation:

The question states that $y$ is proportional to $\sqrt{x}$ . In other words, there is a constant $a$ ( $a \ne 0$ ) such that $y = a\, \sqrt{x}$ for all $x \ge 0$ .

The question also states that $y = x$ when $x = 5$ . Make use of this equality to find the value of $a$ .

Since $x = 5$ and $y = x$ , it must be true that $y = 5$ . Substitute $x = 5\!$ and $y = 5\!$ into the equation $y = a\, \sqrt{x}$ and solve for $a$ :

$5 = a\, \sqrt{5}$ .

$\begin{aligned}a &= \frac{5}{\sqrt{5}} \\ &= \sqrt{5}\end{aligned}$ .

Thus, $y = \sqrt{5}\, (\sqrt{x})$ for all $x \ge 0$ .

Substitute in the value $x = 9$ to find the corresponding value of $y$ :

$\begin{aligned} y &= \sqrt{5} \, (\sqrt{9}) \\ &= \sqrt{5} \times 3 \\ &= 3\, \sqrt{5}\end{aligned}$ .

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Step-by-step explanation:

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wariber [46]

Answer:

an acute triangle

Step-by-step explanation:

an acute triangle has angles that are less than 90 degrees

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