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3 years ago

Which letter represents the first number in an ordered pair?

Mathematics

1 answer:

Step2247 [10]3 years ago

6 0

Step-by-step explanation:

Example: (5,2)

On a graph, the 5 goes on the x-axis and the 2 goes on the y-axis.

Also, in the world of variables, and the alphabet, x is before y.

So x represents the first number in an ordered pair.

hope it helps!

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PLS THIS IS MY LAST QUESTION

MrRa [10]

Answer: x = 5.625

Step-by-step explanation: The triangles are similar; the side lengths of the large triangle are proportional to the lengths of the small triangle. The corresponding parts are proportional.

Use proportion. The total length of side FV is 16.

6:16 = x:15 . or 6/16=x/15

cross multiply 15 × 6 = 90, then divide 90/16

90/16 = x

5.625 = x

5 0

3 years ago

Which of the following represents a quadratic function?

Lubov Fominskaja [6]

Answer:

○ $y = 6 + 5x + x^2$

Explanation:

<h3>What is a quadratic equation?</h3>

A quadratic equation is an algebraic equation where the highest power of $x$ is 2. The general form of a quadratic equation is as follows:

$\boxed{ax^2 + bx + c = 0}$ ,

where a, b, and c represent known constants, and $x$ is the unknown.

In this question, if you take a look at the second option, you will see that it is possible to rearrange the equation to make it look the general form:

$y = 6 + 5x + x^2$

⇒ $y = x^2 + 5x + 6$

Therefore, this equation is quadratic.

The other three options are not quadratic equations because none of them have an $x^2$ term in them.

3 0

2 years ago

Read 2 more answers

Help ASAP for this question All of the following are equivalent except 0.6 0.06 6% 3/50

stich3 [128]

Answer:

0.6

Step-by-step explanation:

0.6 0.06 6% 3/50 are equivalent to

0.6 0.06 6% 6/100. 0.6 is 10 times larger than the other three.

Thus, 0.06 6% 3/50 are equivalent, and 0.6 does not belong to the group.

5 0

3 years ago

Which monomials are perfect cubes? Check all that apply.

lozanna [386]

A perfect cube is a number that resulted from multiplying a number three times by itself. A perfect cube is also a number that has an exact cube root.

8x^12 ⇒ 2x^4 * 2x^4 * 2x^4
27x^9 ⇒ 3x³ * 3x³ * 3x³

Only two monomials are perfect cubes.

6 0

4 years ago

Read 2 more answers

We learned in that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty

maw [93]

Answer:

(1) The expected number of people who would have consumed alcoholic beverages is 34.9.

(2) The standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3) It is surprising that there were 45 or more people who have consumed alcoholic beverages.

Step-by-step explanation:

Let X = number of adults between 18 to 20 years consumed alcoholic beverages in 2008.

The probability of the random variable X is, p = 0.697.

A random sample of n = 50 adults in the age group 18 - 20 years is selected.

An adult, in the age group 18 - 20 years, consuming alcohol is independent of the others.

The random variable X follows a Binomial distribution with parameters n = 50 and p = 0.697.

The probability mass function of a Binomial random variable X is:

$P(X=x)={50\choose x}0.697^{x}(1-0.697)^{50-x};\ x=0,1,2,3...$

(1)

Compute the expected value of X as follows:

$E(X)=np\\=50\times 0.697\\=34.85\\\approx34.9$

Thus, the expected number of people who would have consumed alcoholic beverages is 34.9.

(2)

Compute the standard deviation of X as follows:

$SD(X)=\sqrt{np(1-p)}=\sqrt{50\times 0.697\times (1-0.697)}=10.55955\approx10.56$

Thus, the standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3)

Compute the probability of X ≥ 45 as follows:

P (X ≥ 45) = P (X = 45) + P (X = 46) + ... + P (X = 50)

$=\sum\limits^{50}_{x=45} {50\choose x}0.697^{x}(1-0.697)^{50-x}\\=0.0005+0.0001+0.00002+0.000003+0+0\\=0.000623\\\approx0.0006$

The probability that 45 or more have consumed alcoholic beverages is 0.0006.

An unusual or surprising event is an event that has a very low probability of success, i.e. p < 0.05.

The probability of 45 or more have consumed alcoholic beverages is 0.0006. This probability value is very small.

Thus, it is surprising that there were 45 or more people who have consumed alcoholic beverages.

6 0

3 years ago