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1 year ago

Determine all natural numbers x,y and z such that x

Mathematics

1 answer:

icang [17]1 year ago

8 0

Question incomplete

Answered by Gauthmath must click thanks and mark brainliest

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Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?

klasskru [66]

Answer:

6 and 18

6+6=12

18+6=24

12x2=24

Unless a number is given it is mainly trial and error so guessing numbers that fit the first part of Ax3=B

Step-by-step explanation:

5 0

1 year ago

Every day, a lecture may be canceled due to inclement weather with probability 0.05. Class cancelations on different days are in

andrezito [222]

<h3>(a)Probability of cancelling at least 4 classes is 0.0055.</h3><h3>(b)Probability of 10th class is third class that gets cancelled = 0.0031</h3>

Step-by-step explanation:

Here, the question is<u> incomplete</u>.

Every day, a lecture may be canceled due to inclement weather with probability 0.05. Class cancellations on different days are independent.

(a) There are 15 classes left this semester. Compute the probability that at least 4 of them get canceled.

(b) Compute the probability that the tenth class this semester is the third class that gets canceled.

Now, here:

The probability of cancelling each class = 0.05

Now, probability of cancelling at least 4 classes

= 1 - P(Cancelling at max 3 classes)

= 1 - P(0 ≤ x ≤ 3) = 1 - Binomial (15,0.05,3)

= 0.0055

Hence, probability of cancelling at least 4 classes is 0.0055.

(b) As given, 10th class is third class that gets cancelled.

So, the first and second classes that get cancelled in between 1 - 9.

P(2 class cancelled in 1st 9) = Binomial (15,0.05,3) = 0.0629

Also, as given P(10th class cancelled) = 0.05

⇒ P(10th class is third class that gets cancelled ) = 0.0629 x 0.05 = 0.0031

5 0

1 year ago

A baker’s dozen (13) of cookies is on sale for $2.08.

poizon [28]

So taking this as if there are 13 dozens of cookies. First we do 13 times 12 which would be 156 cookies in total. Then 156 cookies times 2.08 is 324.48

4 0

1 year ago

Read 2 more answers

Which is the simplified form of the expression (StartFraction (x Superscript negative 3 Baseline) (y squared) Over (x Superscrip

Vlad [161]

Answer:

The simplified form of the expression is $\frac{1}{x^{7} y^{4}}$ .

Step-by-step explanation:

The expression is:

$\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}$

The division rule of exponents is:

$a^{m}\div a^{n}=a^{m-n}$

The negative exponent rule is:

$a^{-m}=\frac{1}{a^{m}}$

Simplify the expression as follows:

$\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}=[x^{-3-4}]\times [y^{2-6}]$

$=x^{-7}\times y^{-4}\\\\=\frac{1}{x^{7} y^{4}}$

Thus, the simplified form of the expression is $\frac{1}{x^{7} y^{4}}$ .

8 0

2 years ago

Read 2 more answers

The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. Write and solve an eq

horsena [70]

Answer:

The height of the statue is 152 feet

Step-by-step explanation:

<u><em>The complete question is :</em></u>

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

Let

h ----> the height of the statue in feet

p ---> the height of the pedestal in feet

we know that

$h+p=305$ ----> equation A