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Katen [24]
3 years ago
12

Emma conducted an experiment in which she rolled a six-sided, fair number cube 300 times. How many times would you predict she r

olled a 6?
Mathematics
2 answers:
anygoal [31]3 years ago
7 0
50 because there are 6 sides and 300 roles, if its equal of course. ;)!
Zina [86]3 years ago
4 0

A number cube has six sides. The probability of landing on any of the numbers is equal. The theoretical probability of rolling a 6 is 1/6. I expect a 6 to be rolled (1/6)(300), or 50 of 300 times

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Which angle is an x-intercept for the function y = cos(1/2x)
KonstantinChe [14]
For the function
y = cos(1/2 x)
The x-intercept can be calculated by equating the function to zero and solving for x. So,
y = cos(1/2 x) = 0
1/2 x = arc cos 0
1/2 x = 90° +180°n
x =2 (90° +180°n)
x = 180° + 360°n
or converting to radians
x = (180° + 360° n)(π/180°)
x = π + 2π n
where n is any whole number

if n = 0
x = π

Therefore, the x-intercept is π or π+2π n
3 0
3 years ago
Read 2 more answers
Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground.
babunello [35]

Answer:

So he starts at underground level and goes even deeper so the answer is D

Step-by-step explanation:

7 0
2 years ago
A firm has a debt to asset ratio of 75%, $264,000 in debt, and net income of $49,280. calculate return on equity
svlad2 [7]
Asset = 264,000 / 0.75 = $352,000
Shareholders equity = $352,000 - $264,000 = 88,000

Return on equity = 49,280 / 88,000 x 100% = 56%
3 0
3 years ago
Felipe borrowed $8000 at a rate of 16.5%, compounded monthly. Assuming he makes no payments, how much will he owe after 7 years?
Gelneren [198K]

Answer:

$25,193.17

Explanation:

Given:

• Principal Felipe borrowed, P=$8000

,

• Annual Interest Rate, r=16.5%=0.165

,

• Compounding Period, k=12 (Monthly)

,

• Time, t=7 years

We want to determine how much he will owe after 7 years.

In order to carry out this calculation, use the compound interest formula below:

A(t)=P\mleft(1+\frac{r}{k}\mright)^{tk}

Substitute the values defined above:

A(t)=8000\mleft(1+\frac{0.165}{12}\mright)^{12\times7}

Finally, simplify and round to the nearest cent.

\begin{gathered} A(t)=8000(1+0.01375)^{84} \\ =8000(1.01375)^{84} \\ =\$25,193.17 \end{gathered}

After 7 years, Felipe will owe $25,193.17.

3 0
1 year ago
A cylindrical soup can has a diameter of 3.6 in. and is 6.4 in. tall. Find the volume of the can.
arsen [322]
<h2>⚘Your Answer:------</h2>

<h3><u>Given</u><u> </u><u>Information</u><u>:</u></h3>

  • <u>Diameter of can</u>:- 3.6 cm
  • <u>Height of</u><u> </u><u>can</u><u>:</u><u>-</u> 6.4 cm

<h3><u>To</u><u> </u><u>Find</u><u> </u><u>Out</u><u>:</u></h3>

  • <u>Volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>Can</u><u>.</u>

<h3><u>Solution</u><u>:</u></h3>

Radius = (Diameter/2)

ㅤㅤㅤㅤ3.6 cm/2

ㅤㅤㅤㅤ1.8 cm

<u>So</u><u>,</u><u> </u><u>Radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>soup</u><u> </u><u>can</u><u> </u><u>is</u> 1.8 cm.

Volume øf cylinder = Volume øf can

Volume of cylinder = π r²h

(π = 22/7)

(r = radius = 1.8 cm)

(h = height = 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7×(1.8 cm)²× 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7× 3.24 cm² × 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7 × 20.736 cm³

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= (456.192/7) cm³

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 65.17 cm³

So, the Volume of the soup can is 65.17 cm³

ㅤㅤㅤㅤㅤㅤㅤㅤ⚘Thank You

7 0
2 years ago
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