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2 years ago

What is the value of (3/10)3

Mathematics

1 answer:

Elenna [48]2 years ago

6 0

Answer:

$\frac{9}{10}$

Step-by-step explanation:

In this question, one is asked to multiply a fraction by a whole number, first model the question.

$\frac{3}{10}(3)$

In a situation like this, one multiplies the whole number by the numerator (number) over the fraction.

$\frac{3*3}{10}$

Simplify,

$\frac{9}{10}$

A common error that people make is that they will multiply both the numerator and denominator by the whole number, this is the same as multiplying the answer by (1), thus it is incorrect.

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What is a equivalent ratio for 40:28=_:7

forsale [732]

40:28 is equivalent to 10:7

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3 years ago

A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on four numbers pays 8 to 1 (that is, if you bet $1 and one of t

Natasha_Volkova [10]

Answer:

Lose $0.05

Step-by-step explanation:

There are 38 possible spots on the roulette wheel (numbers 1 to 36, 0 and 00).

If the player can choose four numbers on single $1 bet, his chances of winning (W) and losing (L) are as follows:

$P(W) = \frac{4}{38} \\P(L) = 1-P(W) = 1-\frac{4}{38} \\P(L) = \frac{34}{38}$

The expected value of the bet is given by the probability of winning multiplied by the payout ($8), minus the probability of losing multiplied by the bet cost ($1)

$EV=\frac{4}{38}*\$8 -\frac{34}{38}*\$1\\EV= -\$0.05$

On each bet, the player is expected to lose 5 cents ($0.05).

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2 years ago

What is a logarithmic function?

max2010maxim [7]

THE LOGURITHMIC FUNCTION IS THE UNVERSE OF EXPONETIAL FUNCTION IN MATH

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2 years ago

Find the measure of angle X in the triangle below.

Elan Coil [88]

Answer:

X = 89.92° or 90.08°

Step-by-step explanation:

The law of sines can be used to find the value of angle X:

sin(X)/26 = sin(67.38°)/24

sin(X) = (26/24)sin(67.38°) ≈ 0.99999901787

There are two values of X that have this sine:

X = arcsin(0.99999901787) ≈ 89.92°

X = 180° -arcsin(0.99999901787) ≈ 90.08°

There are two solutions: X = 89.92° or 90.08°.

_____

<em>Comment on the problem</em>

We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.

The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...

arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°

This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.

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2 years ago

Read 2 more answers

Evaluate b^2 + 5a – 20

Rina8888 [55]

Answer: it cant even be factored

Step-by-step explanation:

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2 years ago