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3 years ago

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Final tell his mother that the secret number he is thinking of is divisible by 18 and tells this father that is divisible by 12.

If Ronald is telling the truth to both of his parents what is the smallest secret number that Ronald could be thinking of

1 answer:

Dafna1 [17]3 years ago

6 0

The LCM of these 2 is 36, 18 goes into it only twice and 12 goes into it 3 times

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Which of the following statements about the number line is true?

rusak2 [61]

It is D i think.............
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4 years ago

Read 2 more answers

Let Q(x, y) be the predicate "If x < y then x2 < y2," with domain for both x and y being R, the set of all real numbers.

Levart [38]

Answer:

a) Q(-2,1) is false

b) Q(-5,2) is false

c)Q(3,8) is true

d)Q(9,10) is true

Step-by-step explanation:

Given data is $Q(x,y)$ is predicate that $x$ then $x^{2}$ . where $x,y$ are rational numbers.

a)

when $x=-2, y=1$

Here $-2$ that is $x$ satisfied. Then

$(-2)^{2}$

$4$ this is wrong. since $4>1$

That is $x^{2}$ $>y^{2}$ Thus $Q(x,y)$ $=Q(-2,1)$ is false.

b)

Assume $Q(x,y)=Q(-5,2)$ .

That is $x=-5, y=2$

Here $-5$ that is $x$ this condition is satisfied.

Then

$(-5)^{2}$

$25$ this is not true. since $25>4$ .

This is similar to the truth value of part (a).

Since in both $x$ satisfied and $x^{2} >y^{2}$ for both the points.

c)

if $Q(x,y)=Q(3,8)$ that is $x=3$ and $y=8$

Here $3$ this satisfies the condition $x$ .

Then $3^{2}$

$9$ This also satisfies the condition $x^{2}$ .

Hence $Q(3,8)$ exists and it is true.

d)

Assume $Q(x,y)=Q(9,10)$

Here $9$ satisfies the condition $x$

Then $9^{2}$

$81$ satisfies the condition $x^{2}$ .

Thus, $Q(9,10)$ point exists and it is true. This satisfies the same values as in part (c)

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3 years ago

Given the function f(x) = 4(x + 3) -5, solve for the inverse function when x=3

daser333 [38]

Answer: Your answer would be -120

Step-by-step explanation: Remove Parentheses (3 + 3) add them together and make it 6 and plug in the 6 into the equation. -4 x 6 x 5. Then, you multiply the numbers together and get -120. There is no inverse for -120 since both sides aren't equal.

I hope this helps you!!

6 0

3 years ago

New York City is the most expensive city in the United States for lodging. The mean hotel room rate is per night (USA Today, Apr

kow [346]

Answer:

$P(X$

Step-by-step explanation:

Assuming a mean of $204 per night and a deviation of $55.

a. What is the probability that a hotel room costs $225 or more per night (to 4 decimals)?

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean"

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the cost per night at the hotel, and for this case we know the distribution for X is given by:

$X \sim N(204,55)$

Where $\mu=204$ and $\sigma=55$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

We are interested on this probability

$P(X>225)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>225)=P(\frac{X-\mu}{\sigma}>\frac{225-\mu}{\sigma})$

$=P(Z>\frac{225-204}{55})=P(Z>0.382)$

And we can find this probability on this way:

$P(Z>0.382)=1-P(Z$

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3 years ago

Whats the distance between (8,-3) and (4,-7)

Shtirlitz [24]

Answer:

d=5.656854

Step-by-step explanation:

d=√ ( 4 − 8 ) 2 + (− 7 − (− 3 ) ) 2

d=√ ( − 4 ) 2 + ( − 4 ) 2

d= √ 16 + 16

d= √32

d=5.656854

7 0

3 years ago