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Debora [2.8K]
2 years ago
15

During an experiment, Juan rolled a six-sided number cube 18 times. The number two occurred four times. Juan claimed the experim

ental probability of rolling a two was approximately StartFraction 1 over 9 EndFraction. Which of the following is true about Juan’s claim?
Juan's claim is incorrect. The correct experimental probablilty is StartFraction 2 over 9 EndFraction.
Juan's claim is incorrect. The correct experimental probablilty is One-third.
Juan's claim is incorrect. The correct experimental probablilty is StartFraction 4 over 9 EndFraction.
Juan’s claim is correct.
Mathematics
2 answers:
Maru [420]2 years ago
8 0

Answer:

1) Juans claim is incorrect. The correct experimental probablilty is 2/9

Step-by-step explanation:

stiks02 [169]2 years ago
3 0

Answer:

a

Step-by-step explanation:

Juan's claim is incorrect. The correct experimental probablilty is 2/9

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At a convention of monsters, 2/5 have no horns, 1/7 have one horn, 1/3 have two horns, and the remaining 26 have three or more h
Kazeer [188]
If we take it that, the total amount is say hmmm "x"
then one can say that \bf \begin{cases}
\cfrac{2}{5}x\impliedby &\textit{no horns}\\\\
\cfrac{1}{7}x\impliedby &\textit{one horn}\\\\
\cfrac{1}{3}x\impliedby &\textit{two horns}\\\\
26\impliedby &remaining
\end{cases}
\\\\\\
\textit{so the total is really }\quad \cfrac{2}{5}x+\cfrac{1}{7}x+\cfrac{1}{3}x+26

add up the fractions of "x" and the constant of 26

4 0
2 years ago
Eric took $7000 of his income last year and invested it, part at 7% and the rest at 9%. He earned $570 from investments. How muc
mihalych1998 [28]

Answer:

He invested 3,000 at 7% and 4,000 at 9%.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=7,000 (1)

0.07x+0.09y=570 (2)

You can solve for x in (1)

x=7,000-y (3)

Now, you can replace (3) in (1) and solve for "y":

0.07(7,000-y)+0.09y=570

490-0.07y+0.09y=570

0.02y=80

y=80/0.02

y=4,000

Finally, you can replace the value of "y" in (3):

x=7,000-4,000

x=3,000

According to this, the answer is that he invested 3,000 at 7% and 4,000 at 9%.

5 0
2 years ago
The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as indicated in the figure. Use the M
forsale [732]
We can used the Simpson's Rule says to approximate the area under a given curve using the following formula: 

<span>(Δx/3)[f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + ... + 2f(xn-2) + 4f(xn-1) + f(xn)] </span>

<span>The pool is divided into 8 subintervals. We integrate the given function from 0 to 24, while the graph provides values of f(x) at 7 different points. The first value given, 6.2, is NOT f(0). It is f(3). Using Simpson's Rule, and dividing the lake of 24 meters into 8 subintervals, we write the equation: </span>

<span>area = (3/3)[f(0) + 4f(3) + 2f(6) + 4f(9) +2f(12) + 4f(15) + 2f(18) + 4f(21) + f(24)] </span>

<span>Pool area = 0 + 4(6.2) + 2(7.2) +4(6.8) + 2(5.6) + 4(5.0) +2(4.8) +4(4.8) + 0 = 126.4 m^2 </span>

<span>Rounding to the nearest square meter, the area of the lake is approximately 126 m^2 </span>
6 0
2 years ago
Read 2 more answers
In Boston taxicabs charge an initial fare and an additional amount for every mile traveled. Tahira is having trouble figuring ou
nlexa [21]

Answer:

The taxi charges $2.5 for every mile.

Step-by-step explanation:

We are given the following in the question:

Let x be the initial taxicab fare and y be the additional amount for every mile traveled.

Cost for a two mile ride = $7.00

Thus, we can write the equation:

x + 2y = 7

Cost of a nine mile ride = $24.50

Thus, we can write the equation,

x + 9y = 24.50

Solving the two equation by elimination method, we have,

x + 9y - (x + 2y) = 24.50 - 7\\7y = 17.5\\y = 2.5\\\Rightarrow x + 2(2.5) = 7\\x = 2

Thus, $2 is the initial fare and $2.5 is the cost for every mile traveled.

3 0
2 years ago
Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cos
anzhelika [568]

Answer:

14t + 58 ≤ 150

Step-by-step explanation:

If she cannot spend more than what she has, which is 150, the inequality sign has to be "less than or equal to".  It's ok if she spends less than 150, but not ok if she spends more, because she doesn't have it to spend.

We know the cost of 1 pair of jeans is 58.  Now she wants to make up the difference by getting as many $14 shirts as possible (the number of shirts being our unknown).  

That means that the cost of the jeans PLUS the unknown number of shirts cannot exceed 150.

Therefore, the inequality is:

14t + 58 ≤ 150

4 0
2 years ago
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