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3 years ago

What does it mean when someone asks you to diagram a statement in math?

Mathematics

1 answer:

kipiarov [429]3 years ago

7 0

Answer:

A math diagram is any diagram that conveys mathematical concepts. This includes basic charts and graphs as well as sophisticated logic and geometrical diagrams. ... Mathematical diagrams are often created to illustrate concepts in textbooks or for presentation posters used at conferences.

Step-by-step explanation:

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In a school in Florida, 60% of the students stay in the school's dormitory and 40% stay with their families. The school records

aivan3 [116]

We have events:

$D$ - a student stays in the school's dormitory
$D'$ - a student stays with family
$A$ - a student receives As

and probabilities:

$P(D)=0.6\\\\P(D')=0.4\\\\P(A|D)=0.3\\\\P(A|D')=0.2$

We want to calculate the probability that the student lives in the school dormitory given he receives As so it will be $P(D|A)$ . From the Bayes' theorem we know that:

$P(D|A)=\dfrac{P(A|D)P(D)}{P(A)}$

The only thing we don't know is $P(A)$ , but we can calculate it using the law of total probability. There will be:

$P(A)=P(A|D)P(D)+P(A|D')P(D')=0.3\cdot0.6+0.2\cdot0.4=\\\\=0.18+0.08=\boxed{0.26}$

So our probability:

$P(D|A)=\dfrac{P(A|D)P(D)}{P(A)}=\dfrac{0.3\cdot0.6}{0.26}=\dfrac{0.18}{0.26}=\boxed{\frac{9}{13}}$

Answer D.

3 0

3 years ago

Read 2 more answers

I needs help with it

Slav-nsk [51]

Answer:

a) initial height = 0 m

b) 8 s

c) vertex = (4, 32)

maximum height = 32 m

Step-by-step explanation:

Given equation:

$h=-2t^2+16t$

where:

h is the height of the arrow about the ground (in metres)
t is the time (in seconds)

The initial height of the arrow will be at the beginning of its journey, so when t = 0

Substitute t = 0 into the equation and solve for h:

$\implies h=-2(0)^2+16(0)$

$\implies h=0$

Therefore, the initial height of the arrow is 0 m.

The arrow will hit the ground when the height is 0 m.

Substitute h = 0 into the given equation:

$\implies -2t^2+16t=0$

Factor out -2t:

$\implies -2t(t-8)=0$

Therefore:

$\implies -2t=0 \implies t=0$

And:

$\implies t-8=0 \implies t=8$

Therefore, the arrow will hit the ground at 8 seconds.

The vertex is the turning point of a parabola - it's minimum or maximum point.

As the leading coefficient for the given equation is negative, the parabola opens downwards and so its vertex is its maximum point.

There are different ways to find the vertex of a parabola. The easiest way to find the x-coordinate is by calculating the midpoint of the x-intercepts.

We have determined that the arrow has a height of 0 m at 0 seconds and 8 seconds. Therefore, t = 0 and t = 8 are the x-intercepts. The midpoint is halfway between zero and 8, so the midpoint is t = 4

To find the y-coordinate, substitute t = 4 into the equation and solve for h:

$\implies h=-2(4)^2+16(4)$

$\implies h=-32+64$

$\implies h=32$

Therefore, the coordinates of the vertex are (4, 32)

The maximum height is the y-coordinate of the vertex.

Therefore, the maximum height is 32 m

6 0

2 years ago

Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years. They both purchased new cars this year.

Kipish [7]

Answer:

12 years

Step-by-step explanation:

Given that Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years.

Assuming that they purchase new cars together after n years.

So, n must a multiple of 4 as well as multiple 6, i.e the number n is the lowest multiple (LCM) of 4 and 6.

As LCM od 4 and 6 is 12, so n=12.

Hence, after 12 years they will purchase news cars together.

5 0

3 years ago

What is my answer if I Add -9+84+(-2)

S_A_V [24]

Answer:

Step-by-step explanation:

-9+84+(-2) =

-9+82 =

= 73

Hope this helps

6 0

3 years ago

The height of a cuboid is 12cm,the volume is 1200cm3 find the side of the of a cuboid

Tasya [4]

Answer:

area=volume/height

area=1200cm cubed/12cm

area=100cm squared

5 0

2 years ago