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3 years ago

Give answer please :)

Mathematics

1 answer:

Over [174]3 years ago

4 0

Since you know that the median is 18 and the two middle values in the set are 17 and B, you know that B must be 19 to make the median 18. Knowing that, you can plug in different values for A that are between 7 and 12 and you would find that only a value of 9 makes the mean 17.

A=9 B=19

You might be interested in

You know that 60% of students in a school are participating in a fundraiser. If between 200 and 400 students are participating,

allsm [11]

So i think in the school there may be 4800 in the school. Hope this helps

8 0

3 years ago

A copper key is placed in a cylindrical container with a 3-cm diameter. The water level rises from 14 cm to 14.6 cm. What is the

Tomtit [17]

Answer:

The volume is about 4.24 cm^3.

Step-by-step explanation:

From the question we are told that:

Diameter $d= 3-cm$

Radius $r=d/2=>1.5cm$

Height risen $14.6-14=0.6cm$

Generally the equation for Volume of a Key is mathematically given by

Since Volume of a cylinder is Given as

$V=\pir^2h$

Therefore

$V=\pi*1.5^2*0.6$

$V=4.2417\\\\V=4.24 cm^3$

Correct Option A

The volume is about 4.24 cm^3.

3 0

3 years ago

In Bayes Theorem, you have some starting information, then you collect some new information so that you can _______ the original

sp2606 [1]

In Bayes Theorem, apart from the already starting information, some new information so that you can update or transform the original probabilities so you now have better information.

What is Bayes Theorem?

The Bayes' theorem was named after Thomas Bayes and it is used in probability theory and statistics as one of the fundamental theorems. It estimates the likelihood of an event based on knowledge of circumstances that might be connected to it in the past.

The Formula for Bayes' Theorem

The Bayes' theorem is given as,

P(A|B) = P(A).P(B|A) / P(B)

Here, for two events A and B,

P(A|B) is the probability for likelihood of A when B is true

P(B|A) is probability for likelihood of B when A is true

P(A) is the independent probability of event A

P(B) is the independent probability of event B

Learn more about Bayes' theorem here:

brainly.com/question/17010130

#SPJ4

5 0

2 years ago

3x - 3y = 9 and x + 3y = 12 <br> Elimination

Firlakuza [10]

Answer:

$x=5.25,y=2.25$

Step-by-step explanation:

We can add the two equations to eliminate the variable $y$ and solve for $x$ :

$3x-3y+x+3y=9+12$

$4x=21$

$x=5.25$

Now, we can use substitution to solve for $y$ :

$x+3y=12$ (given)

$5.25+3y=12$

$3y=12-5.25$

$=6.75$

$y=2.25$

Hope this helps :)

8 0

3 years ago

Find the equation of the directrix of the parabola x2=+/- 12y and y2=+/- 12x

PIT_PIT [208]

Answer:

x^2 = 12 y equation of the directrix y=-3
x^2 = -12 y equation of directrix y= 3
y^2 = 12 x equation of directrix x=-3
y^2 = -12 x equation of directrix x= 3

Step-by-step explanation:

To find the equation of directrix of the parabola, we need to identify the axis of the parabola i.e, parabola lies in x-axis or y-axis.

We have 4 parts in this question i.e.

x^2 = 12 y
x^2 = -12 y
y^2 = 12 x
y^2 = -12 x

For each part the value of directrix will be different.

For x² = 12 y

The above equation involves x² , the axis will be y-axis

The formula used to find directrix will be: y = -a

So, we need to find the value of a.

The general form of equation for y-axis parabola having positive co-efficient is:

x² = 4ay eq(i)

and our equation in question is: x² = 12y eq(ii)

By putting value of x² of eq(i) into eq(ii) and solving:

4ay = 12y

a= 12y/4y

a= 3

Putting value of a in equation of directrix: y = -a => y= -3

The equation of the directrix of the parabola x²= 12y is y = -3

For x² = -12 y

The above equation involves x² , the axis will be y-axis

The formula used to find directrix will be: y = a

So, we need to find the value of a.

The general form of equation for y-axis parabola having negative co-efficient is:

x² = -4ay eq(i)

and our equation in question is: x² = -12y eq(ii)

By putting value of x² of eq(i) into eq(ii) and solving:

-4ay = -12y

a= -12y/-4y

a= 3

Putting value of a in equation of directrix: y = a => y= 3

The equation of the directrix of the parabola x²= -12y is y = 3

For y² = 12 x

The above equation involves y² , the axis will be x-axis

The formula used to find directrix will be: x = -a

So, we need to find the value of a.

The general form of equation for x-axis parabola having positive co-efficient is:

y² = 4ax eq(i)

and our equation in question is: y² = 12x eq(ii)

By putting value of y² of eq(i) into eq(ii) and solving:

4ax = 12x

a= 12x/4x

a= 3

Putting value of a in equation of directrix: x = -a => x= -3

The equation of the directrix of the parabola y²= 12x is x = -3

For y² = -12 x

The above equation involves y² , the axis will be x-axis

The formula used to find directrix will be: x = a

So, we need to find the value of a.

The general form of equation for x-axis parabola having negative co-efficient is:

y² = -4ax eq(i)

and our equation in question is: y² = -12x eq(ii)

By putting value of y² of eq(i) into eq(ii) and solving:

-4ax = -12x

a= -12x/-4x

a= 3

Putting value of a in equation of directrix: x = a => x= 3

The equation of the directrix of the parabola y²= -12x is x = 3

5 0

3 years ago