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2 years ago

Solve the proportion five point two over eight = y over six A. y = 4.22 B. y = 6.93 C. y = 2.86 D. y = 3.90

Mathematics

1 answer:

Alex Ar [27]2 years ago

8 0

Answer:

D.y = 3.9

Step-by-step explanation:

we can express the word problem five point two over eight = y over six mathematically;

$\frac{5.2}{8} = \frac{y}{6}$

our unknown is y, so we will keep rearranging the equation by using simple principles of algebra until we get y

cross multiply;

y×8 =5.2×6

y×8 =31.2

divide through by 8

y×8÷8 =31.2÷8

y=3.9

The correct answer is D

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What time is 5 3/4 hours after 11:32 PM

Viktor [21]

Answer:

So the time is 5:17 a.m.

Explanation:

Note that:

11:32 pm is 28 minutes before midnight.

Adding the 534 hours will take the time into early morning.

So all we need to do to find the new time (am) is to subtract 28 minutes from 534 hours.

534→5 hours and 45 minutes

Subtracting the minutes:

28−− ← Subtract

So the time is 5:17 a.m.

4 0

2 years ago

PLEASE HELP

notsponge [240]

Answer:

(a)

x cubed is

=x^3=x3

5 times the cube of x is

=5x^3=5x3

4 times x is

=4x=4x

the quotient of 4 times x and 3 is

=\frac{4x}{3}=34x

so,

the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is

=5x^3-\frac{4x}{3}=5x3−34x ..........Answer

(b)

5 times cube of x is

=5x^3=5x3

5 times cube of x divided by 4 times x is

=\frac{5x^3}{4x}=4x5x3 ..........Answer

(c)

difference of 5 times x cube and 4 is

=5x^3 -4=5x3−4

so,

the quotient of the difference of 5 times x cube and 4 and x is

=\frac{5x^3-4}{x}=x5x3−4 ...........Answer

(d)

difference of 5 times x and 4 is

=5x-4=5x−4

so,

the cube of the difference of 5 times x and 4 is is

=(5x-4)^3=(5x−4)3 ............Answer

5 0

2 years ago

Suppose you decided to keep flipping a coin until tails came up, at which

MAVERICK [17]

Answer:

B. 6.3%

Step-by-step explanation:

For each time that the coin is tosse, there are only two possible outcomes. Either it comes up tails, or it does not. The probability of coming up tails on a toss is independent of any other toss. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Fair coin:

Equally as likely to come up heads or tails, so $p = 0.5$

Probability that the first tails comes up on the 4th flip of the coin?

0 tails during the first three, which is P(X = 0) when n = 3.

Tails in the fourth, with probability 0.5. So

$p = 0.5P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$p = 0.5P(X = 0) = 0.5*(C_{3,0}.(0.5)^{0}.(0.5)^{3}) = 0.0625$

0.0625 * 100 = 6.25%

Rounding to the nearest tenth of a percent, the correct answer is:

B. 6.3%

4 0

2 years ago

The variables x and y have a quadratic relationship. Tripling the value of x causes the value of y to increase by a factor of ni

Lady bird [3.3K]

Answer:

<em>The value of y when x has a value of 9 is 18</em>

Step-by-step explanation:

<u>Functions</u>

The variables x and y are said to have a quadratic relationship. That information is not enough to set up a general equation for both variables.

Furthermore, we know that tripling the value of x causes the value of y to be multiplied by 9. That leads us to establish a proportional equation between them, as follows:

$y=kx^2$