the swimming club's indoor pool is in a rectangular building Marco is laying tile around the rectangular pool

If y varies inversely as x and y=7 when x=−4, find y when x=2.

olga2289 [7]

Answer:

Explanation:

The statement is expressed as

y

∝

1

x

inverse means

1

variable

To convert to an equation introduce k, the constant of variation.

y

=

k

×

1

x

⇒

y

=

k

x

To find k use the given condition that y = 8 when x = 4

8

=

k

4

⇒

k

=

4

×

8

=

32

⇒

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

2

y

=

32

x

2

∣

−−−−−−−−−−−−

x

=

16

→

y

=

32

16

⇒

y

=

2

when

x

=

16

5 0

3 years ago

Our class has 50 students. Assuming that no students are born on leap days (February29), what is the probability that no two stu

madreJ [45]

Answer: a) $\dfrac{799}{31250}$ b) $\dfrac{30451}{31250}$

Step-by-step explanation:

Since we have given that

Number of days in a year = 365

Number of students = 50

Probability that no two students share the same birthday. It means each student has different birthday.

Probability(no two students share the same birthday) $=\dfrac{365-1}{365}\times \dfrac{365-2}{365}........\times \dfrac{365-50}{365}$

Probability(no two students share the same birthday) $=\dfrac{^{365}P_{50}}{365^{50}}$

Probability(no two students share the same birthday) $=\dfrac{799}{31250}\approx 0.025568$

Probability that at least one of the students has the same birthday as another student in the class is given by

$1-P(\text{no student share the same birthday})\\\\=1-\dfrac{799}{31250}\\\\=\dfrac{30451}{31250}=0.974432$

5 0

3 years ago

What is the dependent variable? *please see answer choices* *serious answers only*

goldfiish [28.3K]

Answer:

The answer is A.

Step-by-step explanation:

The size of the lawn is not dependent how much water is used, however the amount of water used is dependent on the size of the lawn (be it larger or smaller).

3 0

3 years ago

Give an equation for a horizontal line and a vertical line. what are the slopes of each line

just olya [345]

A horizontal line has a slope of 0. Remember the z in horizontal means zero. The slope of a vertical line is undefined.

3 0

3 years ago

#1 #2 #3 & #4 thank you

lubasha [3.4K]

I only (sort of) know 3 and 4

3. Andle 1 is an example of an angle bigger than
${90}^{o} c$
I don't know what you call it.

4. If you have a straight line, both angles (or more) added up need to be
${180}^{o} c$
so if angle 1 is 129, 180-129=51
angle 2 is
${51}^{o} c$

If 1 is what is the relationship between the two angles, then maybe the answer is that they both added up need to be 180 degress (?)

And 2 is probably the same as 3 but with angle 2, angle two is an example of an angle smaller than 90 degrees

6 0

3 years ago

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