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timofeeve [1]
3 years ago
9

jon tossed a standerd number cube several times . he got the number "4" on 5 of the tosses, based on theoretical probabilites,wh

at is the estimate of number of times the cube will land on "4" if the cube is tossed 240 times ?
Mathematics
1 answer:
bonufazy [111]3 years ago
3 0

On a cube there are 6 sides with the numbers: 1,2,3,4,5,6.

so probability of 1 role to get a 4 would be 1/6

The probability of getting a 4 on 240 roles would be 40 times because:

1/6=x/240

240=6x

divide by 6

40 is final answer

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Suppose that y varies inversely as x and that y=8 when x=3. Calculate the value of y when x= 10.
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\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y = 8\\ x = 3 \end{cases}\implies 8=\cfrac{k}{3}\implies 24=k~\hfill \boxed{y = \cfrac{24}{x}} \\\\\\ \textit{when x = 10, what is \underline{y}?}\qquad \qquad y = \cfrac{24}{10}\implies y = \cfrac{12}{5}

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3 years ago
Someone please help me!
kvasek [131]

The formula for compounded interest in this type of equation is:

A = P(1+\frac{r}{n})^{nt} where A is the amount at the end of the time period, P is the principal amount you start with, R is the interest rate, N is the amount of compound periods, and T is the time allotted for the money to gain interest.

P = 5000, R = 3% or 0.03, N = monthly so 12, T = 2 years

Plug in our given information into the equation:

A = 5000(1 +\frac{.03}{12})^{12(2)} \\ A = 5000(1 + \frac{.03}{12})^{24}

Let the calculator do the work here...

A ≈ 5308.785 which rounds to A ≈ 5308.79

Option A is your answer.

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3 years ago
Rosie leaves her house at 07:45. she drives 18 miles to work at an average speed of 24 miles per hour (mph). at what time does R
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5 0
3 years ago
Is (x-2) a factor of (x3-8x2+14x-4)?
MArishka [77]
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8 0
4 years ago
Read 2 more answers
Please may someone help me with this question thank you
Maru [420]

Answer:

C. \frac{12}{7}

Step-by-step explanation:

To find the slope when you know two points, use this formula:

M = y₂ - y₁ ÷ x₂ - x₁

M = (4 - (-8)) ÷ (0 - (-7))

M = 12 ÷ 7

M = \frac{12}{7}

Hope that helps.

3 0
3 years ago
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